332354 + Interview Questions in Secondary School in Math

1.	A loaded dice has the property that when the dice is thrown the probability of showing a given number is proportional to the number. For example, 2 is twice as likely to show up compared to 1 and 3 is thrice as likely to show up compared to 1. And so on. What is the probability that when the dice is thrown twice the sum is 4 or less. *
Answer» Step-by-step EXPLANATION: hwjw shahsus her MOTHER was a likhachilam and a chalaka who is a

1.

A loaded dice has the property that when the dice is thrown the probability of showing a given number is proportional to the number. For example, 2 is twice as likely to show up compared to 1 and 3 is thrice as likely to show up compared to 1. And so on. What is the probability that when the dice is thrown twice the sum is 4 or less. *

Answer»

Step-by-step EXPLANATION:

hwjw shahsus her MOTHER was a likhachilam and a chalaka who is a

Discussion

2.	Find the percent decrease to the nearest percent: From 145 kilograms to 132 kilograms.
Answer» Answer is 9 PERCENT DECREASE Explanation PERCENTAGE decrease =[( starting value-final value)] / starting value ×100 Mark the answer as BRAINLIST

2.

Find the percent decrease to the nearest percent: From 145 kilograms to 132 kilograms.

Answer»

Answer is 9 PERCENT DECREASE

Explanation

PERCENTAGE decrease =[( starting value-final value)] / starting value ×100

Mark the answer as BRAINLIST

Discussion

3.	In a triangle ABC, cosec A (sin B cos C + cos B sin C) equals
Answer» $\implies$ EXPLANATION: We have, CSCA(sinBcosC+cos B SIN C), =cscAsin(B+C), =cscAsin(π−A)...[as, in ΔABC,A+B +C=π], =cscA⋅sinA, =1.

3.

In a triangle ABC, cosec A (sin B cos C + cos B sin C) equals

Answer»

$\implies$

CSCA(sinBcosC+cos B SIN C),

=cscAsin(B+C),

=cscAsin(π−A)...[as, in ΔABC,A+B +C=π],

=cscA⋅sinA,

=1.

Discussion

4.	Find the mode of the following distribution.
Answer» ANSWER: Which NUMBERS

4.

Find the mode of the following distribution.

Answer»

ANSWER:

Which NUMBERS

Discussion

5.	1. A person buys a book for 200 and sellsit for 225. What will be his gain percent?(a) 13%(b) 14%(c) 18.4%(d) 12.5%
Answer» ANSWER :- The profit percentage of the book is 12.5%. [ Option. (d) ] is correct. Step-by-step explanation: To Find :- The gain percentage of the book Solution: GIVEN that, COST PRICE of a book = Rs. 200 Selling price of the book = Rs. 225 Therefore, The profit :- As we know that, Profit = S.P. - C.P. Where, S.P. = Selling price C.P. = Cost Price => Profit = ( S.P. - C.P. ) => Rs. 225 - Rs. 200 => Rs. ( 225 - 200 ) => Rs. 25 Now, The profit percentage is, As we know that, Profit percentage = { Profit/Cost Price} × 100, => { 25/200 } × 100 Cancelling the common *ZEROS* of 200 and 100 => 25/2 => 12.5 Hence, The profit percentage of the book is 12.5%. Know more :- Some more information related to profit and loss :- Profit = Selling price - Cost Price Loss = Cost Price - Selling price Profit percentage = { Profit/Cost Price } × 100 Loss percentage = { Loss/Cost Price } × 100.

5.

1. A person buys a book for 200 and sellsit for 225. What will be his gain percent?(a) 13%(b) 14%(c) 18.4%(d) 12.5%

Answer»

ANSWER :-

The profit percentage of the book is 12.5%.

[ Option. (d) ] is correct.

Step-by-step explanation:

To Find :-

The gain percentage of the book

Solution:

GIVEN that,

COST PRICE of a book = Rs. 200
Selling price of the book = Rs. 225

Therefore, The profit :-

As we know that,

Profit = S.P. - C.P.

Where,

S.P. = Selling price
C.P. = Cost Price

=> Profit = ( S.P. - C.P. )

=> Rs. 225 - Rs. 200

=> Rs. ( 225 - 200 )

=> Rs. 25

Now, The profit percentage is,

As we know that,

Profit percentage = { Profit/Cost Price} × 100,

=> { 25/200 } × 100

Cancelling the common ZEROS of 200 and 100

=> 25/2

=> 12.5

Hence,

The profit percentage of the book is 12.5%.

Know more :-

Some more information related to profit and loss :-

Profit = Selling price - Cost Price
Loss = Cost Price - Selling price
Profit percentage = { Profit/Cost Price } × 100
Loss percentage = { Loss/Cost Price } × 100.

Discussion

6.	A number exceeds 483678921 BY 213489679 FIND THE NUMBER
Answer» Hey MATE! Your answer ⬇️ A number exceeds 37684955 by 3615045. it MEANS that exceeded number is the sum of these two numbers. To find out the exceeded number, we should add the given numbers. 37684955 + 3615045 = 4,13,00,000. I HOPE it is helpful ❤️

6.

A number exceeds 483678921 BY 213489679 FIND THE NUMBER

Answer»

Hey MATE! Your answer ⬇️

A number exceeds 37684955 by 3615045. it MEANS that exceeded number is the sum of these two numbers. To find out the exceeded number, we should add the given numbers. 37684955 + 3615045 = 4,13,00,000.

I HOPE it is helpful ❤️

Discussion

7.	Count the number line segments
Answer» there are 4 line segments In geometry, a line segment is bounded by two DISTINCT points on a line. Or we can SAY a line segment is part of the line that CONNECTS to points. A line has no ENDPOINTS and extends INFINITELY in both the direction but a line segment has two fixed or definite endpoints.

7.

Count the number line segments

Answer»

there are 4 line segments

In geometry, a line segment is bounded by two DISTINCT points on a line. Or we can SAY a line segment is part of the line that CONNECTS to points. A line has no ENDPOINTS and extends INFINITELY in both the direction but a line segment has two fixed or definite endpoints.

Discussion

8.	If 1st October is sunday, then1st November will be(a) Monday(b) Tuesday(c) Wednesday(d) Thursday
Answer» $\boxed{\fcolorbox{black}{pink} {❥Answer}}$ 1ST NOVEMBER will be WEDNESDAY

8.

If 1st October is sunday, then1st November will be(a) Monday(b) Tuesday(c) Wednesday(d) Thursday

Answer»

$\boxed{\fcolorbox{black}{pink} {❥Answer}}$

1ST NOVEMBER will be WEDNESDAY

Discussion

9.	MatrixA=[1/0 0/1]thenA² is equalto...
Answer» Step-by-step explanation: SHOW that if A and B are square matrices such that AB = BA, then (A+B)2 = A2 + 2AB + B2 .

9.

MatrixA=[1/0 0/1]thenA² is equalto...

Answer»

Step-by-step explanation: SHOW that if A and B are square matrices such that AB = BA, then (A+B)2 = A2 + 2AB + B2 .

Discussion

10.	If 10 be added to four times a certain number, the result is 5 less than five times the number. Find the number.
Answer» Step-by-step EXPLANATION: so the ANS is 15 hope it HELPS, MARK it as BRAINLIEST

10.

If 10 be added to four times a certain number, the result is 5 less than five times the number. Find the number.

Answer»

Step-by-step EXPLANATION:

so the ANS is 15

hope it HELPS,

MARK it as BRAINLIEST

Discussion

11.	FIND THE MODULUS OF THE RESULTANT INTEGERS. THUS, l3-9l=?
Answer» ANSWER: HI PLEASE MARK me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as BRAINLIEST

11.

FIND THE MODULUS OF THE RESULTANT INTEGERS. THUS, l3-9l=?

Answer»

ANSWER:

HI PLEASE MARK me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as brainliesthi please mark me as BRAINLIEST

Discussion

12.	X²⁰⁰² + 10x²⁰⁰¹ ÷ 10x²⁰⁰⁰ = 957.9
Answer» ANSWER: 101.9 is the answer Step-by-step EXPLANATION: because it TAKE MULTIPLY,DIVISION.

12.

X²⁰⁰² + 10x²⁰⁰¹ ÷ 10x²⁰⁰⁰ = 957.9

Answer»

ANSWER:

101.9 is the answer

Step-by-step EXPLANATION:

because it TAKE MULTIPLY,DIVISION.

Discussion

13.	Find the derrivative of y= cosx^3.sin^2(x^5)
Answer» Question: Find the derivative of $y=cosx^3.sin^2(x^5)$ $\huge \underline{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \:}$ We will USE product RULE. Let $cosx^3$ be u and $sin^2(x^5)$ be v. Now, the question is: Differentiate y=uv. y'= uv' + vu' (product rule) $\huge \underline{\: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$ Let's differentiate u and v separately,we will later PUT the VALUES. $\sf u'= (cosx^3)' \\\\\sf \implies (x^3)' (-sinx^3) \\\\\sf \implies \color{blue}- sinx^3. 3x^2 \\\\\sf \boxed{Done}$ $\huge \underline{\: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$ Now, COME to v' $\sf v'= (sin^2(x^5))' can~ be ~written ~as ((sinx^5)^2)' \\\\\sf \implies 2sinx^5. (sinx^5)' \\\\\sf \implies 2sinx^5.cosx^5.(x^5)' \\\\\sf \implies 2sinx^5.cosx^5. 5x^4\\\\\sf \implies2.5x^4.sinx^5.cosx^5. \\\\\sf \implies \color{red} 10x^4.sinx^5.cosx^5 \\\\\sf \boxed{And ~it's~ done.}$ $\huge \underline{\: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$ Now, just put the values in y'= uv' + vu' $\sf y'= cosx^3( \color{red}{10x^4.sinx^5.cosx^5} ) \color{black} +sin^2(x^5)( \color{blue}{-sinx^3. 3x^2} ) \\\\\sf \implies \boxed{ y'=10x^4.cosx^3.cosx^5.sinx^5- sin^2x^5.sinx^3.3x^2}$ $\huge \underline{\: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$ ©Ankitraj707

13.

Find the derrivative of y= cosx^3.sin^2(x^5)

Answer»

Question:

Find the derivative of $y=cosx^3.sin^2(x^5)$

$\huge \underline{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \:}$

We will USE product RULE.

Let $cosx^3$ be u and $sin^2(x^5)$ be v.

Now, the question is:

Differentiate y=uv.

y'= uv' + vu' (product rule)

$\huge \underline{\: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$

Let's differentiate u and v separately,we will later PUT the VALUES.

$\sf u'= (cosx^3)' \\\\\sf \implies (x^3)' (-sinx^3) \\\\\sf \implies \color{blue}- sinx^3. 3x^2 \\\\\sf \boxed{Done}$

$\huge \underline{\: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$

Now, COME to v'

$\sf v'= (sin^2(x^5))' can~ be ~written ~as ((sinx^5)^2)' \\\\\sf \implies 2sinx^5. (sinx^5)' \\\\\sf \implies 2sinx^5.cosx^5.(x^5)' \\\\\sf \implies 2sinx^5.cosx^5. 5x^4\\\\\sf \implies2.5x^4.sinx^5.cosx^5. \\\\\sf \implies \color{red} 10x^4.sinx^5.cosx^5 \\\\\sf \boxed{And ~it's~ done.}$

$\huge \underline{\: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$

Now, just put the values in y'= uv' + vu'

$\sf y'= cosx^3( \color{red}{10x^4.sinx^5.cosx^5} ) \color{black} +sin^2(x^5)( \color{blue}{-sinx^3. 3x^2} ) \\\\\sf \implies \boxed{ y'=10x^4.cosx^3.cosx^5.sinx^5- sin^2x^5.sinx^3.3x^2}$

$\huge \underline{\: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:}$

©Ankitraj707

Discussion

14.	How many students got 6 marks?
Answer» ANSWER: I GOT 96/100 not 6/100 Step-by-step EXPLANATION: ahajab

14.

How many students got 6 marks?

Answer»

ANSWER:

I GOT 96/100 not 6/100

Step-by-step EXPLANATION:

ahajab

Discussion

15.	24. Two numbers are i added tonumber, the ratio becomes 7: 8. Find the numbers.(Ans. 10 and 14]5 If 10 be added to each number
Answer» Answer: Step-by-step EXPLANATION: When 1 is added to each of the given two numbers, their ratio becomes 3:4 and when 5 is subtracted from each, the ratio becomes 7:10. What are the numbers? Call the numbers a and b , we know: a+1b+1=34 a−5b−5=710 Transforming 2. to a : a−5b−5=710∣10(b−5) 10(a−5)=7(b−5)∣ EXTEND 10a−50=7b−35∣+50 10a=7b+15∣÷10 a=7b10+32 Putting into 1.: a+1b+1=34∣a=7b10+32 (7b10+32)+1b+1=34∣32+1=52 7b10+52b+1=34∣7b10+52=7b+2510 7b+2510b+1=34∣b+1=b+11 7b+2510b+11=34∣αβγδ=αβ×δγ=αδβγ 7b+2510(b+1)=34∣×40(b+1) 4(7b+25)=30(b+1)∣ extend 28b+100=30b+30∣−28b−30,⟺ 2b=70∣÷2 b=35 a=7⋅3510+32=24510+32=492+32=49+32=522=26 The numbers are 26 and 35 .

15.

24. Two numbers are i added tonumber, the ratio becomes 7: 8. Find the numbers.(Ans. 10 and 14]5 If 10 be added to each number

Answer»

Answer:

Step-by-step EXPLANATION:

When 1 is added to each of the given two numbers, their ratio becomes 3:4 and when 5 is subtracted from each, the ratio becomes 7:10. What are the numbers?

Call the numbers a and b , we know:

a+1b+1=34

a−5b−5=710

Transforming 2. to a :

a−5b−5=710∣10(b−5)

10(a−5)=7(b−5)∣ EXTEND

10a−50=7b−35∣+50

10a=7b+15∣÷10

a=7b10+32

Putting into 1.:

a+1b+1=34∣a=7b10+32

(7b10+32)+1b+1=34∣32+1=52

7b10+52b+1=34∣7b10+52=7b+2510

7b+2510b+1=34∣b+1=b+11

7b+2510b+11=34∣αβγδ=αβ×δγ=αδβγ

7b+2510(b+1)=34∣×40(b+1)

4(7b+25)=30(b+1)∣ extend

28b+100=30b+30∣−28b−30,⟺

2b=70∣÷2

b=35

a=7⋅3510+32=24510+32=492+32=49+32=522=26

The numbers are 26 and 35 .

Discussion

16.	1. If a polynomial of degree 6 is divided by a polynomial of degree 2, then the degree of thequotient isequal to 4 equal to 2 less than 4 less than 2
Answer» ANSWER: EQUAL to 4 Step-by-step explanation: HOPE it helps u PO

16.

1. If a polynomial of degree 6 is divided by a polynomial of degree 2, then the degree of thequotient isequal to 4 equal to 2 less than 4 less than 2

Answer»

ANSWER:

EQUAL to 4

Step-by-step explanation:

HOPE it helps u PO

Discussion

17.	X( x² + x + 1 ) - ( x² + x + 1)
Answer» ANSWER: x³+x²+x-x²+x+1 x³+2x²+2x+1 this is the answer ✅✅✅✅✅✅✅✅✅✅ kkkkkk

17.

X( x² + x + 1 ) - ( x² + x + 1)

Answer»

ANSWER:

x³+x²+x-x²+x+1

x³+2x²+2x+1

this is the answer ✅✅✅✅✅✅✅✅✅✅

kkkkkk

Discussion

18.	The number remaining at the end in division is called the
Answer» Answer: remainder Step-by-step explanation: The number which divides is CALLED the divisor. The number which is the result of the division is called the quotient. If there is any number left over, it is called the remainder. The answer of a division OPERATION can be VERIFIED in the FOLLOWING manner: Quotient × Divisor + Remainder = Dividend. *please* *mark* as *brainliest* *answer*

18.

The number remaining at the end in division is called the

Answer»

Answer:

remainder

Step-by-step explanation:

The number which divides is CALLED the divisor. The number which is the result of the division is called the quotient. If there is any number left over, it is called the remainder. The answer of a division OPERATION can be VERIFIED in the FOLLOWING manner: Quotient × Divisor + Remainder = Dividend.

please mark as brainliest answer

Discussion

19.	If 3x - 1 = 5, then x=
Answer» Answer: 2 Step-by-step explanation: 3x- 1 = 5 3x = 5+1 3x = 6 x = 6/3 x = 2

19.

If 3x - 1 = 5, then x=

Answer»

Answer:

2

Step-by-step explanation:

3x- 1 = 5

3x = 5+1

3x = 6

x = 6/3

x = 2

Discussion

20.	Present cost of 1 litre Diesel is 86.91 then what will be the total cost of diesel in one week
Answer» Answer: 608.37 86.91x7=608.37 mark as BRAINLIEST

20.

Present cost of 1 litre Diesel is 86.91 then what will be the total cost of diesel in one week

Answer»

Answer:

608.37

86.91x7=608.37

mark as BRAINLIEST

Discussion

21.	The value of cos 5π is
Answer» Answer: GOVERNMENT by the people especially : RULE of the majority. b : a government in which the SUPREME POWER is vested in the people and exercised by them directly or indirectly through a system of representation usually involving periodically held free elections. Step-by-step explanation: hope helpful to you

21.

The value of cos 5π is

Answer»

Answer:

GOVERNMENT by the people especially : RULE of the majority. b : a government in which the SUPREME POWER is vested in the people and exercised by them directly or indirectly through a system of representation usually involving periodically held free elections.

Step-by-step explanation:

hope helpful to you

Discussion

22.	QN014- 1500 families with 2 children were selected at randomly and the following data wererecorded.Number of girls in a 21familyNumber of families 475814211Compute the probability of a family chosen at random, having (i)2 girls (ii)1 girl (iii)no girlsdo this in graph
Answer» try until you SUCCEED my FRIEND ok hope it's HELPFUL to you mark as brainlist plea

22.

QN014- 1500 families with 2 children were selected at randomly and the following data wererecorded.Number of girls in a 21familyNumber of families 475814211Compute the probability of a family chosen at random, having (i)2 girls (ii)1 girl (iii)no girlsdo this in graph

Answer»

try until you SUCCEED my FRIEND

ok

hope it's HELPFUL to you

mark as brainlist

plea

Discussion

23.	Division is used for sharing
Answer» ANSWER: YES it is USE for SHARING

23.

Division is used for sharing

Answer»

ANSWER:

YES it is USE for SHARING

Discussion

24.	the expression ax²+bx+1 takes the value of 1 and 4 when x takes the value of 2 and 3 respectively. Find the value of expression when x takes the value 4. someone help please
Answer» ANSWER: Ans =35x Step-by-step EXPLANATION: it was HELPFUL for you Mark as Brainlist

24.

the expression ax²+bx+1 takes the value of 1 and 4 when x takes the value of 2 and 3 respectively. Find the value of expression when x takes the value 4. someone help please

Answer»

ANSWER:

Ans =35x

Step-by-step EXPLANATION:

it was HELPFUL for you Mark as Brainlist

Discussion

25.	) Find two numbers whose sum is 100 and whose ratio is 16:9,
Answer» Answer: c U at WORK and I don't KNOW what I WANT to GO

25.

) Find two numbers whose sum is 100 and whose ratio is 16:9,

Answer»

Answer:

c U at WORK and I don't KNOW what I WANT to GO

Discussion

26.	What is the formula of (a+√b)^3
Answer» ANSWER: a^3+b^3+3a^2b+3ab^2 is the IDENTITY

26.

What is the formula of (a+√b)^3

Answer»

ANSWER:

a^3+b^3+3a^2b+3ab^2 is the IDENTITY

Discussion

27.	Give the geometric representations of y=3 as an equation. (1) In one variable(2) In two variables
Answer» ANSWER: please mark me as a BRAINLIEST Step-by-step EXPLANATION: answer bta dunga OK message KAR dunga tujko

27.

Give the geometric representations of y=3 as an equation. (1) In one variable(2) In two variables

Answer»

ANSWER:

please mark me as a BRAINLIEST

Step-by-step EXPLANATION:

answer bta dunga OK message KAR dunga tujko

Discussion

28.	What is polygon define it
Answer» ANSWER: A flat shape with at least three, and usually five or more, angles and STRAIGHT sides Step-by-step explanation: In geometry, a polygon is a plane figure that is described by a finite number of straight line segments CONNECTED to form a CLOSED polygonal chain or polygonal circuit. The solid plane region, the bounding circuit, or the two TOGETHER, may be called a polygon

28.

What is polygon define it

Answer»

ANSWER:

A flat shape with at least three, and usually five or more, angles and STRAIGHT sides

Step-by-step explanation:

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments CONNECTED to form a CLOSED polygonal chain or polygonal circuit. The solid plane region, the bounding circuit, or the two TOGETHER, may be called a polygon

Discussion

29.	I can fly but I have no wings I can cry but I have no eyes who l am?
Answer» ANSWER: CLOUDS Step-by-step EXPLANATION: PLEASE MARK AS BRAINLIEST

29.

I can fly but I have no wings I can cry but I have no eyes who l am?

Answer»

ANSWER:

CLOUDS

Step-by-step EXPLANATION:

PLEASE MARK AS BRAINLIEST

Discussion

30.	6g 3dg 2 cg 5mg into grams
Answer» ANSWER:Step-by-step explanation:1) 6grams = 61= 6grams2) 3dg = 310 =30grams3) 2cg = 2÷100 = 0.02grams4) 5mg = 5÷1000 = 0.005I ====== 6.325 GRAMS

Discussion

31.	The perimeter of a semicircle with the radius of 33
Answer» ANSWER: the anwer is 103.7 104 approx Step-by-step explanation: PIE X r 22/7 x 33

31.

The perimeter of a semicircle with the radius of 33

Answer»

ANSWER:

the anwer is 103.7

104 approx

Step-by-step explanation:

PIE X r

22/7 x 33

Discussion

32.	If Rs.10,000 amounts to Rs.13,310 in 3 years at compound Interest,find the rate of interest.
Answer» Given: Principal = Rs. 10000 Amount = Rs. 13,310 Time = 3 years What To Find: We have to find the rate (R) of the COMPUND INTEREST. How To Find: To find the rate, we will use, $\sf{A = P \bigg(1 + \dfrac{R}{100} \bigg)^T}$ And subtitute the values and solve. Solution: Using the formula, ⇒ $\sf{A = P \bigg(1 + \dfrac{R}{100} \bigg)^T}$ Substitute the values, ⇒ $\sf{13310 = 10000 \bigg(1 + \dfrac{R}{100} \bigg)^3}$ Take 10000 to LHS, ⇒ $\sf{ \dfrac{13310}{10000} = \bigg( 1 + \dfrac{R}{100} \bigg)^3$ Take 100 as the LCM in the brackets, ⇒ $\sf{ \dfrac{13310}{10000} = \bigg( \dfrac{100 + R}{100} \bigg)^3$ Take the cube (3) to LHS, ⇒ $\sf{\sqrt[3]{\dfrac{13310}{10000}} = \dfrac{100 + R}{100}}$ Simplify 13310 by 10000, ⇒ $\sf{\sqrt[3]{1.331} = \dfrac{100 + R}{100}}$ Find the cube root of 1.331, ⇒ $\sf{1.1 = \dfrac{100 + R}{100}}$ Take 100 to LHS, ⇒ 1.1 × 100 = 100 + R Multiply 1.1 by 100, ⇒ 110 = 100 + R Take 100 to LHS, ⇒ 110 - 100 = R Subtract 100 from 110, ⇒ 10 = R ∴ Thus, the rate of interest is 10 %.

32.

If Rs.10,000 amounts to Rs.13,310 in 3 years at compound Interest,find the rate of interest.

Answer»

Given:

Principal = Rs. 10000
Amount = Rs. 13,310
Time = 3 years

What To Find:

We have to find the rate (R) of the COMPUND INTEREST.

How To Find:

To find the rate, we will use,

$\sf{A = P \bigg(1 + \dfrac{R}{100} \bigg)^T}$

And subtitute the values and solve.

Solution:

Using the formula,

⇒ $\sf{A = P \bigg(1 + \dfrac{R}{100} \bigg)^T}$

Substitute the values,

⇒ $\sf{13310 = 10000 \bigg(1 + \dfrac{R}{100} \bigg)^3}$

Take 10000 to LHS,

⇒ $\sf{ \dfrac{13310}{10000} = \bigg( 1 + \dfrac{R}{100} \bigg)^3$

Take 100 as the LCM in the brackets,

⇒ $\sf{ \dfrac{13310}{10000} = \bigg( \dfrac{100 + R}{100} \bigg)^3$

Take the cube (3) to LHS,

⇒ $\sf{\sqrt[3]{\dfrac{13310}{10000}} = \dfrac{100 + R}{100}}$

Simplify 13310 by 10000,

⇒ $\sf{\sqrt[3]{1.331} = \dfrac{100 + R}{100}}$

Find the cube root of 1.331,

⇒ $\sf{1.1 = \dfrac{100 + R}{100}}$

Take 100 to LHS,

⇒ 1.1 × 100 = 100 + R

Multiply 1.1 by 100,

⇒ 110 = 100 + R

Take 100 to LHS,

⇒ 110 - 100 = R

Subtract 100 from 110,

⇒ 10 = R

∴ Thus, the rate of interest is 10 %.

Discussion

33.	If cos a + 2cos b + cos c = 2 then a, b, c are
Answer» COS A + 2cos B + cos C = 2 => cos A + cos C = 2 (1 - cos B) => (b²+c²-a²)/2bc + (c²+a²-b²)/2ca = 2[1 - (a²+b²-c²)/2ab] => a(b²+c²-a²) + b(c²+a²-b²) = 2c[2ab - (a²+b²-c²)] => ab² + ac² -a³ + bc² + ba² - b³ = 2c[2ab - (a²+b²-c²)] => ab² + ba² + ac² + bc² - a³ - b³ = 2c[2ab - (a²+b²-c²)] => ab(a+b) + c²(a+b) - (a+b)(a²-ab+b²) = 2c[2ab - (a²+b²-c²)] => (a+b)(ab+c² - a²+ab-b²) = 2c[2ab - (a²+b²-c²)] => (a+b)[2ab - (a²+b²-c²)] = 2c[2ab - (a²+b²-c²)] => a+b = 2c => SIDES of the triangle are in A.P.

33.

If cos a + 2cos b + cos c = 2 then a, b, c are

Answer»

COS A + 2cos B + cos C = 2

=> cos A + cos C = 2 (1 - cos B)

=> (b²+c²-a²)/2bc + (c²+a²-b²)/2ca = 2[1 - (a²+b²-c²)/2ab]

=> a(b²+c²-a²) + b(c²+a²-b²) = 2c[2ab - (a²+b²-c²)]

=> ab² + ac² -a³ + bc² + ba² - b³ = 2c[2ab - (a²+b²-c²)]

=> ab² + ba² + ac² + bc² - a³ - b³ = 2c[2ab - (a²+b²-c²)]

=> ab(a+b) + c²(a+b) - (a+b)(a²-ab+b²) = 2c[2ab - (a²+b²-c²)]

=> (a+b)(ab+c² - a²+ab-b²) = 2c[2ab - (a²+b²-c²)]

=> (a+b)[2ab - (a²+b²-c²)] = 2c[2ab - (a²+b²-c²)]

=> a+b = 2c

=> SIDES of the triangle are in A.P.

Discussion

34.	The arithmetic mean of 10 observationsis 7.5. The sum of all observationsis
Answer» Answer: 75 Step-by-step EXPLANATION: MEAN = SUM of all OBSERVATION/ TOTAL no. of observation 7.5 = sum of all observation/10 75 = sum of all observation.

34.

The arithmetic mean of 10 observationsis 7.5. The sum of all observationsis

Answer»

Answer:

75

Step-by-step EXPLANATION:

MEAN = SUM of all OBSERVATION/ TOTAL no. of observation

7.5 = sum of all observation/10

75 = sum of all observation.

Discussion

35.	The radii of two concentric circles are 13 and 8. A chord of the outer circle touches the inner circle . Find the length of that chord.
Answer» Answer: The radius of two concentric circles are 13 cm and 8 cm. AB is the diameter of the BIGGER circle and BD is tangent to the SMALLER circle touching at D and the bigger circle at E. Point A is joined to D. What is the length of AD? answer:- Concentric circles with centre O. Radius OB of bigger circle = 13cm, Radius OD of smaller circle = 8cm. EB is tangent to the inner circle at point D. So, OD is perpendicular to EB.( as tangent is perpendicular to the radius segment through the point of contact.) Construction: Join AD & Join AE. PROOF: In right triangle ODB DB² = OB² — OD² ( by pythagoras law) DB² = 13² — 8² = 169 — 64 = 105 => DB = √105 => ED = √105 ( as perpendicular OD from the centre of the circle O, to a chord EB , bisects the chord) Now in triangle AEB, angle AEB = 90°( as angle on a semi circle is a right angle). And, OD // AE & OD = 1/2 AE ( as, segment joining the mid points of any 2 sides of a triangle is parallel to the third side & also half of it. So, AE = 16cm Now, in right triangle AED, AD² = AE² + ED² => AD² = 16² + (√105)² => AD² = 256 +105 => AD² = 361 => AD = √361 = 19cm

35.

The radii of two concentric circles are 13 and 8. A chord of the outer circle touches the inner circle . Find the length of that chord.

Answer»

Answer:

The radius of two concentric circles are 13 cm and 8 cm. AB is the diameter of the BIGGER circle and BD is tangent to the SMALLER circle touching at D and the bigger circle at E. Point A is joined to D. What is the length of AD?

answer:- Concentric circles with centre O. Radius OB of bigger circle = 13cm, Radius OD of smaller circle = 8cm.

EB is tangent to the inner circle at point D. So, OD is perpendicular to EB.( as tangent is perpendicular to the radius segment through the point of contact.)

Construction: Join AD & Join AE.

PROOF: In right triangle ODB

DB² = OB² — OD² ( by pythagoras law)

DB² = 13² — 8² = 169 — 64 = 105

=> DB = √105

=> ED = √105 ( as perpendicular OD from the centre of the circle O, to a chord EB , bisects the chord)

Now in triangle AEB, angle AEB = 90°( as angle on a semi circle is a right angle).

And, OD // AE & OD = 1/2 AE ( as, segment joining the mid points of any 2 sides of a triangle is parallel to the third side & also half of it.

So, AE = 16cm

Now, in right triangle AED,

AD² = AE² + ED²

=> AD² = 16² + (√105)²

=> AD² = 256 +105

=> AD² = 361

=> AD = √361 = 19cm

Discussion

36.	Ii) Write the vertex opposite to the side RT of ARST.
Answer» Step-by-step explanation: *Vertex opposite to the side RT of ARST = Vertex S.* can you PLEASE attach the image if possible *hope* it *helps* *you* *have* a GREAT DAY AHEAD ☺️...

36.

Ii) Write the vertex opposite to the side RT of ARST.

Answer»

Step-by-step explanation:

Vertex opposite to the side RT of ARST = Vertex S.

can you PLEASE attach the image if possible

hope it helps you

have a GREAT DAY AHEAD ☺️...

Discussion

37.	Express the following angle in radians of 120 degree
Answer» Step-by-step explanation: 2π/3 radian I HOPE that will be HELP you

37.

Express the following angle in radians of 120 degree

Answer»

Step-by-step explanation:

2π/3 radian

I HOPE that will be HELP you

Discussion

38.	Draw two circles of the same radii .A is the Centre of one circle and B is the centre of the other circle .Draw one of the circle in such away that it passes through the centre of the circle.
Answer» ANSWER: C is the answer of this QUESTION

38.

Draw two circles of the same radii .A is the Centre of one circle and B is the centre of the other circle .Draw one of the circle in such away that it passes through the centre of the circle.

Answer»

ANSWER:

C is the answer of this QUESTION

Discussion

39.	If a×cos x + b × cos x = c, then the value of (a × sin x – b²cos x)² is
Answer» Step-by-step explanation: sin² (X + y) HINT: cos² x + cos² y – 2cos x × cos y × cos(x + y) {SINCE cos(x + y) = cos x × cos y – SIN x × sin y } = cos² x + cos² y – 2cos x × cos y × (cos x × cos y – sin x × sin y) = cos² x + cos² y – 2cos² x × cos² y + 2cos x × cos y × sin x × sin y = cos² x + cos² y – cos² x × cos² y – cos² x × cos² y + 2cos x × cos y × sin x × sin y = (cos² x – cos² x × cos² y) + (cos² y – cos² x × cos² y) + 2cos x × cos y × sin x × sin y = cos² x(1- cos² y) + cos² y(1 – cos² x) + 2cos x × cos y × sin x × sin y = sin² y × cos² x + sin² x × cos² y + 2cos x × cos y × sin x × sin y (since sin² x + cos² x = 1 ) = sin² x × cos² y + sin² y × cos² x + 2cos x × cos y × sin x × sin y = (sin x × cos y)² + (sin y × cos x)² + 2cos x × cos y × sin x × sin y = (sin x × cos y + sin y × cos x)² = {sin (x + y)}² = sin² (x + y)

39.

If a×cos x + b × cos x = c, then the value of (a × sin x – b²cos x)² is

Answer»

Step-by-step explanation:

sin² (X + y)

HINT:

cos² x + cos² y – 2cos x × cos y × cos(x + y)

{SINCE cos(x + y) = cos x × cos y – SIN x × sin y }

= cos² x + cos² y – 2cos x × cos y × (cos x × cos y – sin x × sin y)

= cos² x + cos² y – 2cos² x × cos² y + 2cos x × cos y × sin x × sin y

= cos² x + cos² y – cos² x × cos² y – cos² x × cos² y + 2cos x × cos y × sin x × sin y

= (cos² x – cos² x × cos² y) + (cos² y – cos² x × cos² y) + 2cos x × cos y × sin x × sin y

= cos² x(1- cos² y) + cos² y(1 – cos² x) + 2cos x × cos y × sin x × sin y

= sin² y × cos² x + sin² x × cos² y + 2cos x × cos y × sin x × sin y (since sin² x + cos² x = 1 )

= sin² x × cos² y + sin² y × cos² x + 2cos x × cos y × sin x × sin y

= (sin x × cos y)² + (sin y × cos x)² + 2cos x × cos y × sin x × sin y

= (sin x × cos y + sin y × cos x)²

= {sin (x + y)}²

= sin² (x + y)

Discussion

40.	A book contain 92 pages numbered from 1 to 92. a page is chosen at random. what is the probability that the page choose and its numbered 80?
Answer» 1/92 It SEEMS HOPE this HELPS : )

40.

A book contain 92 pages numbered from 1 to 92. a page is chosen at random. what is the probability that the page choose and its numbered 80?

Answer»

1/92 It SEEMS

HOPE this HELPS : )

Discussion

41.	ए कंपनी सेल प्रोडक्ट ए एंड बी डी कंपनी में का प्रॉफिट ऑफ ₹40 एंड ₹30 पर यूनिट ऑफ प्रोडक्ट एंड बी रिस्पेक्ट ले बिट्टू प्रोडक्ट आफ प्रोड्यूस इन कॉमन प्रोडक्शन प्रोसेस एंड सॉलि़ड इन टू डिफरेंट मार्केट द प्रोडक्शन प्रोसेस है स्टॉप टोटल कैपेसिटी आफ 30,000 मैन होमवर्क 13 टो प्रोड्यूस द यूनिट ऑफ ए एंड 1st यूनिट ऑफ दीदी मार्केट हैज बीन सरवाइव एंड कंपनी ऑफिशियल सीन द मैक्सिमम नंबर ऑफ लिमिट ऑफ ए दैट कैन बी सॉलिड इज यूनिट एंड 20 रिस्पेक्टिवली सब्जेक्ट कंबीनेशन फॉर द प्रोडक्शन ऑफ ए पी पी मॉडल
Answer» ANSWER: hdthdgxg hsujxg jsxydyjdycjdbydjcgcuenbdyxjcnvhcduyxuxncychcgctbchctchc the crhdbstgshstshgsgdbx Step-by-step EXPLANATION: jehdhdhfhchhchchcjhsyhcgt ndndnd to be a PART ofgsvhxyydhxhxtjjdhxytcjux

41.

ए कंपनी सेल प्रोडक्ट ए एंड बी डी कंपनी में का प्रॉफिट ऑफ ₹40 एंड ₹30 पर यूनिट ऑफ प्रोडक्ट एंड बी रिस्पेक्ट ले बिट्टू प्रोडक्ट आफ प्रोड्यूस इन कॉमन प्रोडक्शन प्रोसेस एंड सॉलि़ड इन टू डिफरेंट मार्केट द प्रोडक्शन प्रोसेस है स्टॉप टोटल कैपेसिटी आफ 30,000 मैन होमवर्क 13 टो प्रोड्यूस द यूनिट ऑफ ए एंड 1st यूनिट ऑफ दीदी मार्केट हैज बीन सरवाइव एंड कंपनी ऑफिशियल सीन द मैक्सिमम नंबर ऑफ लिमिट ऑफ ए दैट कैन बी सॉलिड इज यूनिट एंड 20 रिस्पेक्टिवली सब्जेक्ट कंबीनेशन फॉर द प्रोडक्शन ऑफ ए पी पी मॉडल

Answer»

ANSWER:

hdthdgxg hsujxg jsxydyjdycjdbydjcgcuenbdyxjcnvhcduyxuxncychcgctbchctchc the crhdbstgshstshgsgdbx

Step-by-step EXPLANATION:

jehdhdhfhchhchchcjhsyhcgt ndndnd to be a PART ofgsvhxyydhxhxtjjdhxytcjux

Discussion

42.	The value of cos² x + cos² y – 2cos x × cos y × cos (x + y) is
Answer» Cos²x+cos²y-2cosx.cosy.COS(x+y) cos²x+1-sin²y-2cosx.cosy.cos(x+y) 1+cos²x-sin²y-2cosx.cosy.cos(x+y) 1+cos(x+y).cos(x-y)-2cosx.cosy.cos(x+y) 1+cos(x+y){ cos(x-y)-2cosx.cosy } 1+cos(x+y){ cosx.cosy-sinx.siny-2cosx.cosy } 1+cos(x+y){ -cosx.cosy + sinx.siny } 1-cos(x+y){ cosx.cosy-sinxsiny } 1-cos(x+y).cos(x+y) 1-cos²(x+y) sin²(x+y).

42.

The value of cos² x + cos² y – 2cos x × cos y × cos (x + y) is

Answer»

Cos²x+cos²y-2cosx.cosy.COS(x+y)

cos²x+1-sin²y-2cosx.cosy.cos(x+y)

1+cos²x-sin²y-2cosx.cosy.cos(x+y)

1+cos(x+y).cos(x-y)-2cosx.cosy.cos(x+y)

1+cos(x+y){ cos(x-y)-2cosx.cosy }

1+cos(x+y){ cosx.cosy-sinx.siny-2cosx.cosy }

1+cos(x+y){ -cosx.cosy + sinx.siny }

1-cos(x+y){ cosx.cosy-sinxsiny }

1-cos(x+y).cos(x+y)

1-cos²(x+y)

sin²(x+y).

Discussion

43.	With weights a transition "T' is said to be enabled under marking miff:A vte.p.M(p)>=w(p,t)OVtet. M(p)>=w(p,t)CV pep.M(t)>=w(pt)DVpet. M(p)>=w(p.t)Refresh
Answer» ANSWER: SORRY I didn't KNOW the answer

43.

With weights a transition "T' is said to be enabled under marking miff:A vte.p.M(p)>=w(p,t)OVtet. M(p)>=w(p,t)CV pep.M(t)>=w(pt)DVpet. M(p)>=w(p.t)Refresh

Answer»

ANSWER:

SORRY I didn't KNOW the answer

Discussion

44.	What is the distance covered by a car travelling at a speed of 40 kmph in 15 minutes
Answer» Answer: 10km Step-by-step explanation: 1 HOUR---------------- 40km 60 MINUTES--------40 km 15 minutes---------(40/60)*15=10km

44.

What is the distance covered by a car travelling at a speed of 40 kmph in 15 minutes

Answer»

Answer:

10km

Step-by-step explanation:

1 HOUR---------------- 40km

60 MINUTES--------40 km

15 minutes---------(40/60)*15=10km

Discussion

45.	Radical of the surd 5 * cube root of 7
Answer» Step-by-step EXPLANATION: oah-vzpe-iux i am a gir.l if you are ALSO a gir.l COME WAITING for you

45.

Radical of the surd 5 * cube root of 7

Answer»

Step-by-step EXPLANATION:

oah-vzpe-iux

i am a gir.l if you are ALSO a gir.l COME WAITING for you

Discussion

46.	Which of the following gives benzoic acid on oxidation
Answer» Answer: carbon dioxide Step-by-step explanation: PLEASE MARK me as the brainliest answer . I will give you 98 extra POINTS .

46.

Which of the following gives benzoic acid on oxidation

Answer»

Answer:

carbon dioxide

Step-by-step explanation:

PLEASE MARK me as the brainliest answer . I will give you 98 extra POINTS .

Discussion

47.	13by11×16 as a mixed fraction
Answer» Answer: PLEASE mark me as the brainliest answer Step-by-step explanation: I KNOW the full ANS but if you mark me as the brainliest answer then I will answer your question please don't feel BAD but please mark me as the brainliest answer .

47.

13by11×16 as a mixed fraction

Answer»

Answer:

PLEASE mark me as the brainliest answer

Step-by-step explanation:

I KNOW the full ANS but if you mark me as the brainliest answer then I will answer your question please don't feel BAD but please mark me as the brainliest answer .

Discussion

48.	1 m/s = 18/5 km/h. Explain this equation.
Answer» 1 m/s = 18/5 kmph we know an hour has 60 minutes. and we also know each hour has 60 SECONDS. so we should calculate How many seconds are there in 1 hour. 60×60 seconds = 3600 seconds. Next we should calculate How many meters are there in 1 km. so, 1km = 1000 m to convert m/s we should divide seconds / meters 3600 / 1000 = 18/5 Therefore, 1 m/s = 18/5 kmph Hope this helps you. Mark me as BRAINLEIST you will get 3 points for making me as brainleist. Thank you for your QUESTION it had HELPED me to think about it.

48.

1 m/s = 18/5 km/h. Explain this equation.

Answer»

1 m/s = 18/5 kmph

we know an hour has 60 minutes.

and we also know each hour has 60 SECONDS.

so we should calculate How many seconds are there in 1 hour.

60×60 seconds = 3600 seconds.

Next we should calculate How many meters are there in 1 km.

so, 1km = 1000 m

to convert m/s we should divide seconds / meters

3600 / 1000 = 18/5

Therefore, 1 m/s = 18/5 kmph

Hope this helps you.

Mark me as BRAINLEIST you will get 3 points for making me as brainleist.

Thank you for your QUESTION it had HELPED me to think about it.

Discussion

49.	Find the product using properties a. -17*-29
Answer» Step-by-step EXPLANATION: -17×-29 17×29 17×(30-1) 510-17 493

49.

Find the product using properties a. -17*-29

Answer»

Step-by-step EXPLANATION:

-17×-29

17×29

17×(30-1)

510-17

493

Discussion

50.	Find the solution to 3.5y = 7
Answer» ANSWER: 7÷3.5=y Thus; 2 is the answer

50.

Find the solution to 3.5y = 7

Answer»

ANSWER:

7÷3.5=y

Thus; 2 is the answer

Discussion

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Find the mode of the following distribution.​

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Step-by-step explanation:

Where,

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MatrixA=[1/0 0/1]thenA² is equalto...

If 10 be added to four times a certain number, the result is 5 less than five times the number. Find the number.

FIND THE MODULUS OF THE RESULTANT INTEGERS. THUS, l3-9l=?

X²⁰⁰² + 10x²⁰⁰¹ ÷ 10x²⁰⁰⁰ = 957.9

Find the derrivative of y= cosx^3.sin^2(x^5)

How many students got 6 marks?

24. Two numbers are i added tonumber, the ratio becomes 7: 8. Find the numbers.(Ans. 10 and 14]5 If 10 be added to each number

1. If a polynomial of degree 6 is divided by a polynomial of degree 2, then the degree of thequotient isequal to 4 equal to 2 less than 4 less than 2

X( x² + x + 1 ) - ( x² + x + 1)

The number remaining at the end in division is called the

If 3x - 1 = 5, then x=

Present cost of 1 litre Diesel is 86.91 then what will be the total cost of diesel in one week

QN014- 1500 families with 2 children were selected at randomly and the following data wererecorded.Number of girls in a 21familyNumber of families 475814211Compute the probability of a family chosen at random, having (i)2 girls (ii)1 girl (iii)no girlsdo this in graph

Division is used for sharing

the expression ax²+bx+1 takes the value of 1 and 4 when x takes the value of 2 and 3 respectively. Find the value of expression when x takes the value 4. someone help please

) Find two numbers whose sum is 100 and whose ratio is 16:9,

What is the formula of (a+√b)^3

Give the geometric representations of y=3 as an equation. (1) In one variable(2) In two variables

What is polygon define it

I can fly but I have no wings I can cry but I have no eyes who l am?

6g 3dg 2 cg 5mg into grams

ANSWER:Step-by-step explanation:1) 6grams = 61= 6grams2) 3dg = 310 =30grams3) 2cg = 2÷100 = 0.02grams4) 5mg = 5÷1000 = 0.005I ====== 6.325 GRAMS

If Rs.10,000 amounts to Rs.13,310 in 3 years at compound Interest,find the rate of interest.

The arithmetic mean of 10 observationsis 7.5. The sum of all observationsis

The radii of two concentric circles are 13 and 8. A chord of the outer circle touches the inner circle . Find the length of that chord.

Ii) Write the vertex opposite to the side RT of ARST.

Express the following angle in radians of 120 degree

Draw two circles of the same radii .A is the Centre of one circle and B is the centre of the other circle .Draw one of the circle in such away that it passes through the centre of the circle.

A book contain 92 pages numbered from 1 to 92. a page is chosen at random. what is the probability that the page choose and its numbered 80?

With weights a transition "T' is said to be enabled under marking miff:A vte.p.M(p)>=w(p,t)OVtet. M(p)>=w(p,t)CV pep.M(t)>=w(pt)DVpet. M(p)>=w(p.t)Refresh