332354 + Interview Questions in Secondary School in Math

1.	Two adjacent sides of a parallelogram are 24 cm and 18 cm. If the distance betweenlonger sides is 12 cm, find the distance between shorter sides.steps required
Answer» Given :- Adjacent sides parallelogram = 24cm & 18cm Distance between LONGER sides = 12cm We need to find :- Distance between shorter sides = ? Solution :- Let the distance between the shorter side be ‘x’ Lets take a parallelogram ABCD with base AB & base BC . However it has two bases so there will be two heights & let POINT E be the mid point of AB & point F be the mid point of BC . So the height will be DE & DF And here DE is the distance between longer sides = 12 DF is the distance between shorter sides = x Now as we know that Area = Base × Height → Area = AB × DE → Area = 24 × 12 → Area = 288cm² ....EQ(1) ♦ Area = BC × DF ♦ Area = 18 ( x ) ♦ Area = 18x cm² ….eq(2) By eq(1 & 2) ⇒ 288 = 18x ⇒ x = 288/18 ⇒ x = 16cm = distance between shorter sides Hence , distance between shorter sides = 16cm

1.

Two adjacent sides of a parallelogram are 24 cm and 18 cm. If the distance betweenlonger sides is 12 cm, find the distance between shorter sides.steps required

Answer»

Given :-

Adjacent sides parallelogram = 24cm & 18cm
Distance between LONGER sides = 12cm

We need to find :-

Distance between shorter sides = ?

Solution :-

Let the distance between the shorter side be ‘x’

Lets take a parallelogram ABCD with base AB & base BC . However it has two bases so there will be two heights & let POINT E be the mid point of AB & point F be the mid point of BC . So the height will be DE & DF

And here

DE is the distance between longer sides = 12
DF is the distance between shorter sides = x

Now as we know that

Area = Base × Height

→ Area = AB × DE

→ Area = 24 × 12

→ Area = 288cm² ....EQ(1)

♦ Area = BC × DF

♦ Area = 18 ( x )

♦ Area = 18x cm² ….eq(2)

By eq(1 & 2)

⇒ 288 = 18x

⇒ x = 288/18

⇒ x = 16cm = distance between shorter sides

Hence , distance between shorter sides = 16cm

Discussion

2.	Create a simple problem using the given data80 pineapples at 15.25 each, 3 pineapple got rotten,sold the rest at 20.00 each amount of gaingawin niyo pong problem
Answer» Answer: ARVIND bought 80 pineapples for 15.25 rs. each.3 of his pineapples GOT rotten.He sold the LEFT fruits at 20.00rs. each. Find the amount of gain he got.

2.

Create a simple problem using the given data80 pineapples at 15.25 each, 3 pineapple got rotten,sold the rest at 20.00 each amount of gaingawin niyo pong problem

Answer»

Answer:

ARVIND bought 80 pineapples for 15.25 rs. each.3 of his pineapples GOT rotten.He sold the LEFT fruits at 20.00rs. each. Find the amount of gain he got.

Discussion

3.	for finding AB andBC with the help of informaction given in figure complate following activity:
Answer» where is the FIGURE......

Discussion

4.	A Clock seen on a mirror shows quarter to three. What is the correct time shown by the Clock ?[A] 8 hours 15 minutes. [B] 9 hours 12 minutes. [C] 8 hours 17 minutes. [D] 9 hours 15 minutes
Answer» ANSWER: (d) Step-by-step EXPLANATION:

4.

A Clock seen on a mirror shows quarter to three. What is the correct time shown by the Clock ?[A] 8 hours 15 minutes. [B] 9 hours 12 minutes. [C] 8 hours 17 minutes. [D] 9 hours 15 minutes

Answer»

ANSWER:

(d)

Step-by-step EXPLANATION:

Discussion

5.	If p, q, r are in A.P. then pth,qth, rth terms of any A.P. are also in A.P.
Answer» YES, let take example 1,2,3,..... is anAP and 2,4,6....is another AP 1=p, 2=q,3=r in first AP. hence 1st term MEANS PTH term 2nd term means qth term 3rd term means RTH term let compare in 2nd AP pth term=2 qth term=4 rth term=6 2,4,6 is an AP d=2

5.

If p, q, r are in A.P. then pth,qth, rth terms of any A.P. are also in A.P.

Answer»

YES, let take example

1,2,3,..... is anAP

and 2,4,6....is another AP

1=p, 2=q,3=r in first AP.

hence 1st term MEANS PTH term

2nd term means qth term

3rd term means RTH term

let compare in 2nd AP

pth term=2

qth term=4

rth term=6

2,4,6 is an AP

d=2

Discussion

6.	Subtract 41 24 from -6123
Answer» $- 6123 - (4124) \\ - 6123 + ( - 4124) \\ here \: we \: will \: add \: the \: numbers \: and \: give \: the \: negative \: sign \\ \\ 6123 + \\ \frac{4124 \: \: \: \: }{10247 \: \: \: \: \: \: } \\ \\ \\ \: \: \: - 10247 \: is \: your \: answer. \\ hope \: you \: understood...$

6.

Subtract 41 24 from -6123

Answer»

$- 6123 - (4124) \\ - 6123 + ( - 4124) \\ here \: we \: will \: add \: the \: numbers \: and \: give \: the \: negative \: sign \\ \\ 6123 + \\ \frac{4124 \: \: \: \: }{10247 \: \: \: \: \: \: } \\ \\ \\ \: \: \: - 10247 \: is \: your \: answer. \\ hope \: you \: understood...$

Discussion

7.	Please give answers with step by step explanation
Answer» ANSWER: QWERTYMAN Step-by-step explanation: Question please GIVE ANSWERS with step by step explanation

7.

Please give answers with step by step explanation

Answer»

ANSWER:

QWERTYMAN

Step-by-step explanation:

Question

please GIVE ANSWERS with step by step explanation

Discussion

8.	Q.1. If matrix = [12 31 21] = [123121], FindA.B.
Answer» Step-by-step EXPLANATION: .................... so do if WELL

8.

Q.1. If matrix = [12 31 21] = [123121], FindA.B.

Answer»

Step-by-step EXPLANATION:

.................... so do if WELL

Discussion

9.	Pls help for this question and answer it, I will mark you as braniest.
Answer» Answer: 10 Step-by-step

9.

Pls help for this question and answer it, I will mark you as braniest.

Answer»

Answer:

10

Step-by-step

Discussion

10.	X+2/3-x+1/5=x-3/4-1
Answer» Step-by-step EXPLANATION: Refer to the attachment..... HOPE it HELPS u

10.

X+2/3-x+1/5=x-3/4-1

Answer»

Step-by-step EXPLANATION:

Refer to the attachment.....

HOPE it HELPS u

Discussion

11.	F(x)=x3+kx2-4x-12 এবং f(-2)=0 হলে দেখাওযে, √k একটি অমুলদ সংখ্যা
Answer» uueiiei3i3i4i490okkj3j3jjjji2o2o2o2oo22ii4ji4

Discussion

12.	1, The cost of a goat is Rs. 825. What is the cost of 5 goats?2,. There are 50 students in one class . How many students are there in 15 such classes?
Answer» Answer: 1. cost of a ONE GOAT= 825 total no. of goats=5 =825 * 5 ans = 4125 Step-by-step explanation: 2. no.of students in one class=50 total no.of CLASSES =15 =50*15 = 750

12.

1, The cost of a goat is Rs. 825. What is the cost of 5 goats?2,. There are 50 students in one class . How many students are there in 15 such classes?

Answer»

Answer:

1. cost of a ONE GOAT= 825

total no. of goats=5

=825

* 5

ans = 4125

Step-by-step explanation:

2. no.of students in one class=50

total no.of CLASSES =15

=50*15

= 750

Discussion

13.	Two verticle polos 200 & 80 m high stand apart onta horizon sal plane, The heidh of thept of intersection of lines joining the top of each pole to fool ofOther is
Answer» ANSWER: they STAND HORIZONTAL and VERTICAL PLANE

13.

Two verticle polos 200 & 80 m high stand apart onta horizon sal plane, The heidh of thept of intersection of lines joining the top of each pole to fool ofOther is

Answer»

ANSWER:

they STAND HORIZONTAL and VERTICAL PLANE

Discussion

14.	Verify whether the following signals are periodic or aperiodic:1) X(t) = 3cos?l () t] – 20 ii) x(n)=(-1)" iii) x(t) = 5 + 4sin ()t + 3cos (6)iv) x(n= u(n)+ u(-n-1) v)*(t) = tu(t)
Answer» Step-by-step EXPLANATION: answer_2) X(N) =(-1)....

14.

Verify whether the following signals are periodic or aperiodic:1) X(t) = 3cos?l () t] – 20 ii) x(n)=(-1)" iii) x(t) = 5 + 4sin ()t + 3cos (6)iv) x(n= u(n)+ u(-n-1) v)*(t) = tu(t)

Answer»

Step-by-step EXPLANATION:

answer_2) X(N) =(-1)....

Discussion

15.	Find the interest on Rs.6200 at 3% per annum for 3 years?
Answer» ANSWER: RS. 558 Step-by-step EXPLANATION: INTEREST= P× R × T/100 =6200×3×3/100=558

15.

Find the interest on Rs.6200 at 3% per annum for 3 years?

Answer»

ANSWER:

RS. 558

Step-by-step EXPLANATION:

INTEREST= P× R × T/100

=6200×3×3/100=558

Discussion

16.	The expansion of ( x+1) (x-7) is ____????
Answer» ANSWER: x²+8x+7 Step-by-step EXPLANATION: Explanation in above PICTURE

16.

The expansion of ( x+1) (x-7) is ____????

Answer»

ANSWER:

x²+8x+7

Step-by-step EXPLANATION:

Explanation in above PICTURE

Discussion

17.	Factorise the following x(square)-36/49
Answer» ( 7 x + 6 ) ( 7 x − 6 ) Explanation: NOTE that 49 = 7 2 and 36 = 6 2 So we have 7 2 x 2 − 6 2 = ( 7 x ) 2 − 6 2 . This is in the FORM a 2 − b 2 which can be FACTORED to ( a + b ) ( a − b ) So here we have a = 7 x and b = 6 , so that WOULD be ( 7 x + 6 ) ( 7 x − 6 )

Discussion

18.	How to Divide {1284÷32}
Answer» Step-by-step explanation: 40.125...........❤ follow me.......

18.

How to Divide {1284÷32}

Answer»

Step-by-step explanation:

40.125...........❤

follow me.......

Discussion

19.	Given, 15cotA =8 find all trigonometric ratios of angles A
Answer» Answer :- 15/17 , 8/17 , 15/8 , 17/15 , 17/8 Given :- 15cotA = 8 To Find :- All trigonometric ratios of ANGLE A. Solution :- [ REFER TO THE ATTACHMENT ] → 15cotA = 8 → cotA = 8/15 = b/p = BC/AB From Pythagoras theorem ⇒ AC² = AB² + BC² ⇒ AC² = (15)² + (8)² ⇒ AC² = 225 + 64 ⇒ AC² = 289 ⇒ AC = √289 ⇒ AC = 17 Now sinA = p/h = AB/AC = 15/17 cosA = b/h = BC/AC = 8/17 tanA = p/b = AB/BC = 15/8 cosecA = h/p =AC/AB = 17/15 secA = h/b = AC/BC = 17/8 Where p = perpendicular b = base h = hypotenuse

19.

Given, 15cotA =8 find all trigonometric ratios of angles A

Answer»

Answer :-

15/17 , 8/17 , 15/8 , 17/15 , 17/8

Given :-

15cotA = 8

To Find :-

All trigonometric ratios of ANGLE A.

Solution :-

[ REFER TO THE ATTACHMENT ]

→ 15cotA = 8

→ cotA = 8/15 = b/p = BC/AB

From Pythagoras theorem

⇒ AC² = AB² + BC²

⇒ AC² = (15)² + (8)²

⇒ AC² = 225 + 64

⇒ AC² = 289

⇒ AC = √289

⇒ AC = 17

Now

sinA = p/h = AB/AC = 15/17
cosA = b/h = BC/AC = 8/17
tanA = p/b = AB/BC = 15/8
cosecA = h/p =AC/AB = 17/15
secA = h/b = AC/BC = 17/8

Where

p = perpendicular
b = base
h = hypotenuse

Discussion

20.	A sum of money is invested at a rate of 40% per annum. What is the minimum number of years after which it will become double if the interest is compounded annually?
Answer» Answer: PLEASE can i have Brainliest I would very appreciate it SOO much? Step-by-step EXPLANATION:

20.

A sum of money is invested at a rate of 40% per annum. What is the minimum number of years after which it will become double if the interest is compounded annually?

Answer»

Answer:

PLEASE can i have Brainliest I would very appreciate it SOO much?

Step-by-step EXPLANATION:

Discussion

21.	6, 9, 13, 21, 38, 71, ?
Answer» Answer: Step-by-step explanation: Ans:129 1) find difference between two CONTINUOUS no. 2) add odd no. In series For example.. Difference between 9 and 6 is 3 and first odd no. Is 1 so 9+3=12 12+1=13 Now..for second no. Next odd no. Is 3 so we have to do sum of 3 with 1 i.e. 3+1=4 so 13-9=4 difference 13+4=17+4=11 Remember odd no. Have to add with last adding no. So.. 9+3=12+1=13. (diff. BET. 6 nd 9 is 3) 13+4=17+4=21. (diff.bet.13 nd 9 is 4 )(1+3=4) 21+8=29+9=38 ( diff.bet.13 nd 21 is8)(4+5=9) 38+17=55+16=71 (diff.bet.38 nd 21 is 17)(9+7=16) 71+33=104+25=129 (diff.bet.38 nd 71 is 33)(16+9=25)

21.

6, 9, 13, 21, 38, 71, ?

Answer»

Answer:

Step-by-step explanation:

Ans:129

1) find difference between two CONTINUOUS no.

2) add odd no. In series

For example..

Difference between 9 and 6 is 3 and first odd no. Is 1 so

9+3=12

12+1=13

Now..for second no. Next odd no. Is 3 so we have to do sum of 3 with 1 i.e. 3+1=4 so

13-9=4 difference

13+4=17+4=11

Remember odd no. Have to add with last adding no.

So.. 9+3=12+1=13. (diff. BET. 6 nd 9 is 3)

13+4=17+4=21. (diff.bet.13 nd 9 is 4 )(1+3=4)

21+8=29+9=38 ( diff.bet.13 nd 21 is8)(4+5=9)

38+17=55+16=71 (diff.bet.38 nd 21 is 17)(9+7=16)

71+33=104+25=129 (diff.bet.38 nd 71 is 33)(16+9=25)

Discussion

22.	Find the zeroes of the following quadratic polynomials and verify the relatiomship between the zeroes and cofficients1) x2-2x-8
Answer» Answer: -8 x2 and -2x will be cutted Step-by-step EXPLANATION: FOLLOW me and MARK as brainliest

22.

Find the zeroes of the following quadratic polynomials and verify the relatiomship between the zeroes and cofficients1) x2-2x-8

Answer»

Answer:

-8

x2 and -2x will be cutted

Step-by-step EXPLANATION:

FOLLOW me and MARK as brainliest

Discussion

23.	Q11. रिंडे सिँउठ हिते प्टिव प्लाप्ठ (R) मेव थापउवठठी मंठाहठापरावते \| Find theprobability of getting one red (R)apple from the given figure.दिए गए चित्रसे एक लाल (R) सेब प्राप्त करने की संभावना कापता लगाएं।
Answer» ANSWER: I am not FAKE but I am BROKEN

23.

Q11. रिंडे सिँउठ हिते प्टिव प्लाप्ठ (R) मेव थापउवठठी मंठाहठापरावते | Find theprobability of getting one red (R)apple from the given figure.दिए गए चित्रसे एक लाल (R) सेब प्राप्त करने की संभावना कापता लगाएं।

Answer»

ANSWER:

I am not FAKE but I am BROKEN

Discussion

24.	In the given graph the number of people having books more than 20 and less than 40 is __________.
Answer» ANSWER: Number of people having more than 20 books are 27 Number of people having less than 40 books are 8

24.

In the given graph the number of people having books more than 20 and less than 40 is __________.

Answer»

ANSWER:

Number of people having more than 20 books are 27

Number of people having less than 40 books are 8

Discussion

25.	You start at 3,2 and move 2 units right and 1 unit upPLZ HELP
Answer» ANSWER: QWADSXZC Step-by-step EXPLANATION:

25.

You start at 3,2 and move 2 units right and 1 unit upPLZ HELP

Answer»

ANSWER:

QWADSXZC

Step-by-step EXPLANATION:

Discussion

26.	What is the value of 937 × 101 using distributive property
Answer» Ehhshshshsbbdjsnsbshhsbdh

Discussion

27.	A function f that represents the price of the book if a P 100 price reduction applies
Answer» ANSWER: HAPPY children's DAY have a nice day Step-by-step EXPLANATION: nice day

27.

A function f that represents the price of the book if a P 100 price reduction applies

Answer»

ANSWER:

HAPPY children's DAY have a nice day

Step-by-step EXPLANATION:

nice day

Discussion

28.	Compare \|238\|__\|-238\|A.B.C.D.
Answer» ANSWER: OPTION D : > Step-by-step EXPLANATION: option D is the RIGHT answer

28.

Compare |238|__|-238|A.B.C.D.

Answer»

ANSWER:

OPTION D : >

Step-by-step EXPLANATION:

option D is the RIGHT answer

Discussion

29.	Find the circumcente of the triangle formed by the points(-5, 7) (13, 2) , (-5, 6) answer
Answer» i don't KNOW that what is the ANSWER

Discussion

30.	Please answer the question... Please follow me..
Answer» ANSWER: uteuiohf6i00ihgfrthfdtikh FFS EY

30.

Please answer the question... Please follow me..

Answer»

ANSWER:

uteuiohf6i00ihgfrthfdtikh FFS EY

Discussion

31.	The factors of 6x2 +5x – 6 are
Answer» Step-by-step EXPLANATION: GIVEN EXPRESSION is 6X 2 +5x−6 6x 2 +9x−4x−6 3x(2x+3)−2(2x+3) (2x+3)(3x−2).

31.

The factors of 6x2 +5x – 6 are

Answer»

Step-by-step EXPLANATION:

GIVEN EXPRESSION is 6X

2

+5x−6

6x

2

+9x−4x−6

3x(2x+3)−2(2x+3)

(2x+3)(3x−2).

Discussion

32.	Find the sales price if the cost is $1200 and loss percent is 25
Answer» Given:- Cost price(C.P) = Rs. 1200 Loss % = 25 To FIND:- Find the selling price (S.P) ..? Solution:- We have, The cost price is rupees 1200 and loss percent is 25. we know that, The selling price. => S.P = (100 - Loss%)/100 × C.P According to QUESTION:- => S.P = (100 - 25)/100 × 1200 => S.P = 75/100 × 1200 => S.P = 75 × 12 => S.P = 900 The selling price = Rs. 900 Hence, the selling price is Rs. 900. Some Important:- Profit:- Profit = S.P - C.P S.P = C.P + Profit C.P = S.P - Profit Profit% = (Profit/C.P) × 100 Loss:- Loss% = C.P - S.P C.P = S.P + Loss S.P = C.P - Loss Loss% = (Loss/C.P) × 100

32.

Find the sales price if the cost is $1200 and loss percent is 25

Answer»

Given:-

Cost price(C.P) = Rs. 1200
Loss % = 25

To FIND:-

Find the selling price (S.P) ..?

Solution:-

We have,

The cost price is rupees 1200 and loss percent is 25.

we know that,

The selling price.

=> S.P = (100 - Loss%)/100 × C.P

According to QUESTION:-

=> S.P = (100 - 25)/100 × 1200

=> S.P = 75/100 × 1200

=> S.P = 75 × 12

=> S.P = 900

The selling price = Rs. 900

Hence, the selling price is Rs. 900.

Some Important:-

Profit:-

Profit = S.P - C.P
S.P = C.P + Profit
C.P = S.P - Profit

Profit% = (Profit/C.P) × 100

Loss:-

Loss% = C.P - S.P
C.P = S.P + Loss
S.P = C.P - Loss

Loss% = (Loss/C.P) × 100

Discussion

33.	एक लठठे का 1/2 भागरंगा हुआ हैरंगे भागका3/4 भागलाल रंग से रंगा हुआ है तो बताओ कि पूरे लठठे का कितना भाग लाल रंग से रंगा हुआ है
Answer» Step-by-step explanation: The blind spot is where the OPTIC nerve and blood vessels leave the eyeball. The optic nerve is connected to the brain. It carries images to the brain, where they're processed. This is how we know what we're SEEING. Our eyes SEE the object or image, and our brain INTERPRETS it.

33.

एक लठठे का 1/2 भागरंगा हुआ हैरंगे भागका3/4 भागलाल रंग से रंगा हुआ है तो बताओ कि पूरे लठठे का कितना भाग लाल रंग से रंगा हुआ है

Answer»

Step-by-step explanation:

The blind spot is where the OPTIC nerve and blood vessels leave the eyeball. The optic nerve is connected to the brain. It carries images to the brain, where they're processed. This is how we know what we're SEEING. Our eyes SEE the object or image, and our brain INTERPRETS it.

Discussion

34.	The product of two successiv multiples of 5 is 30 what are the values of there multipes
Answer» Answer: ANSWER Ans : 15, 20 or -15, -20 Hint : LET the successive multiples of 5 be 5x and 5(x + 1). Then, 5x.5(x + 1) = 300 ⇒x^2+ x = 12 ⇒x ^2 + x - 12 = 0 Step-by-step explanation: plzz mark it brainliest and FOLLOW me to SOLVE your doubt instantly

34.

The product of two successiv multiples of 5 is 30 what are the values of there multipes

Answer»

Answer:

ANSWER

Ans : 15, 20 or -15, -20

Hint :

LET the successive multiples of 5 be 5x and 5(x + 1). Then,

5x.5(x + 1) = 300 ⇒x^2+ x = 12 ⇒x ^2 + x - 12 = 0

Step-by-step explanation:

plzz mark it brainliest and FOLLOW me to SOLVE your doubt instantly

Discussion

35.	Find the distributive property of 625×102
Answer» ANSWER: 63750 is your answer PLEASE MAKE me BRAINLIST

35.

Find the distributive property of 625×102

Answer»

ANSWER:

63750 is your answer

PLEASE MAKE me BRAINLIST

Discussion

36.	Write any four 3 digit number that are divisible by both 5 and 10
Answer» Answer: 100 200 300 400 these r the numbers which are three-digit and also DIVISIBLE by both 5 and 10 ...BTS ARMY forever....

36.

Write any four 3 digit number that are divisible by both 5 and 10

Answer»

Answer:

100

200

300

400

these r the numbers which are three-digit and also DIVISIBLE by both 5 and 10

...BTS ARMY forever....

Discussion

37.	Write the set (x:xeR and 0
Answer» ANSWER: QEWRWR3533 UJHFRHNDC VN J CJGM CJNCJN NJCGCFJNFGV NJCH CVFGNHC G VNJ VNJ GVNJH Step-by-step EXPLANATION:

37.

Write the set (x:xeR and 0

Answer»

ANSWER:

QEWRWR3533 UJHFRHNDC VN J CJGM CJNCJN NJCGCFJNFGV NJCH CVFGNHC G VNJ VNJ GVNJH

Step-by-step EXPLANATION:

Discussion

38.	Sinx+cosecx= 2 then sinxsinx +cosecxcosecx is ?
Answer» Step-by-step EXPLANATION: six+cosec=2 sinx=2-cosecx SUBSTITUTE it in what you WANT to CALCULATE.

38.

Sinx+cosecx= 2 then sinxsinx +cosecxcosecx is ?

Answer»

Step-by-step EXPLANATION:

six+cosec=2

sinx=2-cosecx

SUBSTITUTE it in what you WANT to CALCULATE.

Discussion

39.	What is the product of the number 24/0.24
Answer» Answer: 5.76 Step-by-step EXPLANATION: HOPE it will HELP you

39.

What is the product of the number 24/0.24

Answer»

Answer:

5.76

Step-by-step EXPLANATION:

HOPE it will HELP you

Discussion

40.	The measures of two complementary angles are (4x +8)° and (x- 13)°.Find x°
Answer» $\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\purple{R}}}}$

Discussion

41.	8.23 can be written as sum of consecutive odd number Options (a) 3+5(b)1+3+3+1(c)1+5+3(d)4+3+1
Answer» $\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\purple{R}}}}$

Discussion

42.	Find the distance between the point (_4,3) and(2,_3)
Answer» ANSWER: By PYTHAGORAS theorem, DISTANCE between ORIGIN and point = √(4^2 + 3^2) =√(16+9) = √25 = 5 units.

42.

Find the distance between the point (_4,3) and(2,_3)

Answer»

ANSWER:

By PYTHAGORAS theorem, DISTANCE between ORIGIN and point = √(4^2 + 3^2) =√(16+9) = √25 = 5 units.

Discussion

43.	Rationalize the denominator of 3√2/3√2-2√3
Answer» Answer : = 3 + √6 Step-by-step explanation : $\underline{\underline{\bf <klux>RATIONALIZING</klux> \ factor:}}$ $\bigstar$ The factor of multiplication by which rationalization is done, is CALLED as rationalizing factor. $\bigstar$ If the product of two surds is a RATIONAL NUMBER, then each surd is a rationalizing factor to other. $\bigstar$ For EXAMPLE, rationalizing factor of (3 + √2) is (3 - √2) ___________________________ $\bf =\frac{3\sqrt{2}}{3\sqrt{2}-2\sqrt{3}}$ Rationalizing factor = 3√2 + 2√3 $\bf =\frac{3\sqrt{2}}{3\sqrt{2}-2\sqrt{3}} \times \frac{3\sqrt{2}+2\sqrt{3}}{3\sqrt{2}+2\sqrt{3}} \\\\\\ =\frac{3\sqrt{2}(3\sqrt{2}+2\sqrt{3})}{(3\sqrt{2}-2\sqrt{3})(3\sqrt{2}+2\sqrt{3})} \\\\\\ =\frac{9(\sqrt{2})^2+6\sqrt{6}}{(3\sqrt{2})^2-(2\sqrt{3})^2} \\\\\\ =\frac{9(2)+6\sqrt{6}}{9(2)-4(3)} \\\\\\ =\frac{18+6\sqrt{6}}{18-12} \\\\\\ =\frac{6(3+\sqrt{6})}{6} \\\\\\ =3+\sqrt{6}$

43.

Rationalize the denominator of 3√2/3√2-2√3

Answer»

Answer :

= 3 + √6

Step-by-step explanation :

$\underline{\underline{\bf <klux>RATIONALIZING</klux> \ factor:}}$

$\bigstar$ The factor of multiplication by which rationalization is done, is CALLED as rationalizing factor.

$\bigstar$ If the product of two surds is a RATIONAL NUMBER, then each surd is a rationalizing factor to other.

$\bigstar$ For EXAMPLE, rationalizing factor of (3 + √2) is (3 - √2)

___________________________

$\bf =\frac{3\sqrt{2}}{3\sqrt{2}-2\sqrt{3}}$

Rationalizing factor = 3√2 + 2√3

$\bf =\frac{3\sqrt{2}}{3\sqrt{2}-2\sqrt{3}} \times \frac{3\sqrt{2}+2\sqrt{3}}{3\sqrt{2}+2\sqrt{3}} \\\\\\ =\frac{3\sqrt{2}(3\sqrt{2}+2\sqrt{3})}{(3\sqrt{2}-2\sqrt{3})(3\sqrt{2}+2\sqrt{3})} \\\\\\ =\frac{9(\sqrt{2})^2+6\sqrt{6}}{(3\sqrt{2})^2-(2\sqrt{3})^2} \\\\\\ =\frac{9(2)+6\sqrt{6}}{9(2)-4(3)} \\\\\\ =\frac{18+6\sqrt{6}}{18-12} \\\\\\ =\frac{6(3+\sqrt{6})}{6} \\\\\\ =3+\sqrt{6}$

Discussion

44.	Prove that 1/2(sino/1+coso + 1+coso/sino)= 1/sino
Answer» ANSWER: xlbxogxkffztkxlyzkg_dFztxy7'7_7&74756"&,'hxivifiducylxtjsitsitdypfjfjzkfxgk+_fkTozfjdj94_9&55₹9₹69₹60'+0&96"9&9"06_+_0695₹69#9₹#5₹59₹#&58#(#)&(&&)₹₹69₹69#7+79+4<{^©÷*&_7099337-0#+

44.

Prove that 1/2(sino/1+coso + 1+coso/sino)= 1/sino

Answer»

ANSWER:

xlbxogxkffztkxlyzkg_dFztxy7'7_7&74756"&,'hxivifiducylxtjsitsitdypfjfjzkfxgk+_fkTozfjdj94*_9&5*5₹9₹69₹60'+0&96"9&9"06_+_06*95₹69#9₹#5₹59₹#&58#(#)&(&*&)₹₹69₹69#7+79+4<{^©÷*&_7099337-0#+

Discussion

45.	Start with the 4th Fibonacci number
Answer» Answer: 2 is the FOURTH number. Step-by-step EXPLANATION: (0),(0+1),(1+1=2),

45.

Start with the 4th Fibonacci number

Answer»

Answer:

2 is the FOURTH number.

Step-by-step EXPLANATION:

(0),(0+1),(1+1=2),

Discussion

46.	I wanted to ask fifth root of 13And the whole3.1 of STD 8
Answer» Answer: HAPPY CHILDREN's day Step-by-step explanation: have a NICE day

46.

I wanted to ask fifth root of 13And the whole3.1 of STD 8

Answer»

Answer:

HAPPY CHILDREN's day

Step-by-step explanation:

have a NICE day

Discussion

47.	Convert 0.26 bar in the form of p/q
Answer» Step-by-step explanation: PLEASE tell, whats the STORY of them big puppys ..... HOPE you find it on GOOGLE search day

47.

Convert 0.26 bar in the form of p/q

Answer»

Step-by-step explanation:

PLEASE tell, whats the STORY of them big puppys ..... HOPE you find it on GOOGLE search day

Discussion

48.	If p (x) = x3+3x +4,find p (- 1 )
Answer» <P> Step-by-step EXPLANATION: p (x) = X3 + 3X + 4 $p ( - 1) = ( - 1)3 + 3 \times ( - 1) + 4 \\ = - 1 - 3 + 4 \\ = - 4 + 4 \\ = 0$

48.

If p (x) = x3+3x +4,find p (- 1 )

Answer»

<P>

Step-by-step EXPLANATION:

p (x) = X3 + 3X + 4

$p ( - 1) = ( - 1)3 + 3 \times ( - 1) + 4 \\ = - 1 - 3 + 4 \\ = - 4 + 4 \\ = 0$

Discussion

49.	ABCPQR. Length of median drawn from point B is 4 and length of median drawn from point Q isA (APQR)16= ?A (AABC)6416
Answer» Answer: i dont yrr sry i can't help U Step-by-step explanation: plz dear mark me BRAINLIST plz

49.

ABCPQR. Length of median drawn from point B is 4 and length of median drawn from point Q isA (APQR)16= ?A (AABC)6416

Answer»

Answer:

i dont yrr sry i can't help U

Step-by-step explanation:

plz dear mark me BRAINLIST plz

Discussion

50.	12½% of 440 kgplease
Answer» Answer: 55kg Step-by-step explanation: 25/2%×440 kg =25/200×440kg =55kg

50.

12½% of 440 kgplease

Answer»

Answer:

55kg

Step-by-step explanation:

25/2%×440 kg

=25/200×440kg

=55kg

Discussion

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