332354 + Interview Questions in Secondary School in Math

1.	The area of a parellogram where one of its diagonal =6.8cm and the perpendicular distance of this diagonal from the opposite vertes is of length 4cm
Answer» Step-by-step explanation: 1/26.84=13.6 2*13.6=27.2

1.

The area of a parellogram where one of its diagonal =6.8cm and the perpendicular distance of this diagonal from the opposite vertes is of length 4cm

Answer»

Step-by-step explanation:

1/2*6.8*4=13.6

2*13.6=27.2

Discussion

2.	Find nature of root of following quadratic equations 2x^2-6+3=0
Answer» ANSWER: NATURE of ROOTS is REAL and DISTINCT !!

2.

Find nature of root of following quadratic equations 2x^2-6+3=0

Answer»

ANSWER:

NATURE of ROOTS is REAL and DISTINCT !!

Discussion

3.	Find the value if:1°×2°+3°×4°+5°×6°
Answer» Step-by-step EXPLANATION: HOPE it HELPS THANK me LATER

3.

Find the value if:1°×2°+3°×4°+5°×6°

Answer»

Step-by-step EXPLANATION:

HOPE it HELPS

THANK me LATER

Discussion

4.	8. One general equation for a combined variation is y = k xz/w.Solve for k in terms of the other variables.
Answer» ANSWER: K= yw/xz Step-by-step EXPLANATION: y = k xz/w ⇒ ⇒ k= yw/xz

4.

8. One general equation for a combined variation is y = k xz/w.Solve for k in terms of the other variables.

Answer»

ANSWER:

K= yw/xz

Step-by-step EXPLANATION:

y = k xz/w ⇒

⇒ k= yw/xz

Discussion

5.	7. If y varies directly w³, and y = 25 when w = 5, find the value of y when w = 2.
Answer» Answer: 8/5 Step-by-step explanation: If y varies DIRECTLY w³, and y = 25 when W = 5, find the value of y when w = 2. Given: y=kw³, where K is COEFFICIENT When w=5 y= k5³= 125k and y=25 125k=25 k=25/125= 1/5* As the value of k is KNOWN, we have new equation: y= w³ / 5 For w=2 we have y= 2³/5= 8/5 Answer: 8/5

5.

7. If y varies directly w³, and y = 25 when w = 5, find the value of y when w = 2.

Answer»

Answer:

8/5

Step-by-step explanation:

If y varies DIRECTLY w³, and y = 25 when W = 5, find the value of y when w = 2.

Given:

y=kw³, where K is COEFFICIENT

When w=5

y= k*5³= 125k and y=25

125k=25

k=25/125= 1/5

As the value of k is KNOWN, we have new equation:

y= w³ / 5

For w=2 we have

y= 2³/5= 8/5

Answer: 8/5

Discussion

6.	Let be an angle, with 0≤x
Answer» ANSWER: SEE in GOOGLE for ANSWEE

6.

Let be an angle, with 0≤x

Answer»

ANSWER:

SEE in GOOGLE for ANSWEE

Discussion

7.	6. The heat loss h (in Watts) through a single-pane glass window varies jointly with the window’s area A (in square metres) and the difference between the inside and outside temperatures d (in Kelvins).a. Write an equation relating h, A, d, and a constant, k.b. A single-pane window with an area of 1 square metre and a temperature difference of 1 Kelvin has a heat loss of 5.7 Watts. What is the heat loss through a single-pane window with an area of 2.5 square metres and a temperature difference of 20 Kelvins?
Answer» Answer: 10-20 A double-pane WINDOW consists of TWO layers of glass separated by a stagnant ... Heat transfer is one-dimensional in the axial direction ... 3 Thermal conductivities are constantenergy rating system for windows. ... Simplified heat loss through any given surface is ... Thermal PERFORMANCE of windows, doors and ... Single glazing – virtually obsolete apart from3.2 Evaluation of the mean temperature difference in a heat exchanger . ... reactor is on the order of one million watts per square meter. ... Reasonable values of h range over about six. I hope you like it STAY home and stay safe HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII please mark me as brainlist Step-by-step explanation:

7.

6. The heat loss h (in Watts) through a single-pane glass window varies jointly with the window’s area A (in square metres) and the difference between the inside and outside temperatures d (in Kelvins).a. Write an equation relating h, A, d, and a constant, k.b. A single-pane window with an area of 1 square metre and a temperature difference of 1 Kelvin has a heat loss of 5.7 Watts. What is the heat loss through a single-pane window with an area of 2.5 square metres and a temperature difference of 20 Kelvins?

Answer»

Answer:

10-20 A double-pane WINDOW consists of TWO layers of glass separated by a stagnant ... Heat transfer is one-dimensional in the axial direction ... 3 Thermal conductivities are constantenergy rating system for windows. ... Simplified heat loss through any given surface is ... Thermal PERFORMANCE of windows, doors and ... Single glazing – virtually obsolete apart from3.2 Evaluation of the mean temperature difference in a heat exchanger . ... reactor is on the order of one million watts per square meter. ... Reasonable values of h range over about six.

I hope you like it

STAY home and stay safe

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII please mark me as brainlist

Step-by-step explanation:

Discussion

8.	5. Suppose x varies inversely with y and y varies inversely with z. How does x vary with z? Justify your answer algebraically.
Answer» Step-by-step explanation: HOPE it's helpful for you!!! Have a great day AHEAD!!!

8.

5. Suppose x varies inversely with y and y varies inversely with z. How does x vary with z? Justify your answer algebraically.

Answer»

Step-by-step explanation:

HOPE it's helpful for you!!!

Have a great day AHEAD!!!

Discussion

9.	4. Write an equation for the given relationship.(a) x varies inversely with y and directly with z.(b) y varies jointly with z and the square root of x.
Answer» ANSWER: (a) X varies inversely with y and directly with z. x=kz/y, K is coefficient (b) y varies jointly with z and the square ROOT of x. y= kz√x, k is coefficient

9.

4. Write an equation for the given relationship.(a) x varies inversely with y and directly with z.(b) y varies jointly with z and the square root of x.

Answer»

ANSWER:

(a) X varies inversely with y and directly with z.

x=kz/y, K is coefficient

(b) y varies jointly with z and the square ROOT of x.

y= kz√x, k is coefficient

Discussion

10.	3. The variable z varies jointly with x and y. Use the given values to writean equation relating x, y and z. Then find z when x = 4.a. x = ⅜, y = 16/17, z = 3/2b. x = ⅚, y = 3/10, z = 8
Answer» Step-by-step EXPLANATION: The variable z varies JOINTLY with x and y. USE the given VALUES to write an equation relating x, y and z. z=kxy, k is coefficient Find z when x = 4 z=4ky a. x = ⅜, y = 16/17, z = 3/2 3/2=k3/816/7 3/2=k6/7 k=62/37 k=4/7* b. x = ⅚, y = 3/10, z = 8 8=k5/63/10 8=k1/2 k=82 k=16

10.

3. The variable z varies jointly with x and y. Use the given values to writean equation relating x, y and z. Then find z when x = 4.a. x = ⅜, y = 16/17, z = 3/2b. x = ⅚, y = 3/10, z = 8

Answer»

Step-by-step EXPLANATION:

The variable z varies JOINTLY with x and y. USE the given VALUES to write

an equation relating x, y and z.

z=kxy, k is coefficient

Find z when x = 4

z=4ky

a. x = ⅜, y = 16/17, z = 3/2

3/2=k*3/8*16/7
3/2=k*6/7
k=6*2/3*7
k=4/7

b. x = ⅚, y = 3/10, z = 8

8=k*5/6*3/10
8=k*1/2
k=8*2
k=16

Discussion

11.	∞Σn₋₁ 4(1/3)ⁿ⁻₁need help finding the sum of the geometric series
Answer» Answer: CORRECT Answer is 6 4+4[(1/3)]+4[(1/3)^2+..... .............+INFINITE] 4[1/(1-1/3)] 43/2=6 Step-by-step explanation:*

11.

∞Σn₋₁ 4(1/3)ⁿ⁻₁need help finding the sum of the geometric series

Answer»

Answer:

CORRECT Answer is 6

4+4[(1/3)]+4[(1/3)^2+..... .............+INFINITE]

4[1/(1-1/3)]

4*3/2=6

Step-by-step explanation:

Discussion

12.	ORFind four Numbers in A.P. such that the sum of 2nd and 3rd terms is 22andthe product of 1st and 4th term is 85.51. In an equilateral triangle ABCD is a point on BC, such thatBD ==BC. Prove that 9AD2 = 7AB23B.ORBL and CM are medians of a triangle ABC,\|A=90° Prove that 4(BL2 + CM2) = 5BC2
Answer» Step-by-step EXPLANATION: T2+T3=22 a+d+a+2d=22 2a+3d=22 3d=22-2a a(a+3d)=85 a^2+3ad=85 a^2+a(22-2a)=85 a^2+22a-2a^2=85 22a-a^2=85 a^2-22a+85=0 a^2-(17+5)a+85=0 a^2-17a-5a+85=0 a(a-17)-5(a-17)=0 a=5 or 17 if a=5 3d=22-10 d=4 if a=17 3d=22-34 d=-4 if a=5 and d=4 Ap=5,9,13,17...... if a=17 and d=-4 Ap=17,13.9.5.... _______________________________________

12.

ORFind four Numbers in A.P. such that the sum of 2nd and 3rd terms is 22andthe product of 1st and 4th term is 85.51. In an equilateral triangle ABCD is a point on BC, such thatBD ==BC. Prove that 9AD2 = 7AB23B.ORBL and CM are medians of a triangle ABC,|A=90° Prove that 4(BL2 + CM2) = 5BC2

Answer»

Step-by-step EXPLANATION:

T2+T3=22

a+d+a+2d=22

2a+3d=22

3d=22-2a

a(a+3d)=85

a^2+3ad=85

a^2+a(22-2a)=85

a^2+22a-2a^2=85

22a-a^2=85

a^2-22a+85=0

a^2-(17+5)a+85=0

a^2-17a-5a+85=0

a(a-17)-5(a-17)=0

a=5 or 17

if a=5

3d=22-10

d=4

if a=17

3d=22-34

d=-4

if a=5 and d=4

Ap=5,9,13,17......

if a=17 and d=-4

Ap=17,13.9.5....

_______________________________________

Discussion

13.	Solve the following quadratic equation, giving your answer in surd form.2x^2 + 20x + 12 = 0
Answer» Step-by-step EXPLANATION: HOPE it helps hope U can understand I have solved ROUGHLY

13.

Solve the following quadratic equation, giving your answer in surd form.2x^2 + 20x + 12 = 0

Answer»

Step-by-step EXPLANATION:

HOPE it helps

hope U can understand

I have solved ROUGHLY

Discussion

14.	A point (-5 , 4) is mapped onto (-1 , -1 ) by a translation , find the image of (-4 , 5 ) under the same translation.
Answer» Step-by-step EXPLANATION: this will be ANSWER ACCORDING to me

14.

A point (-5 , 4) is mapped onto (-1 , -1 ) by a translation , find the image of (-4 , 5 ) under the same translation.

Answer»

Step-by-step EXPLANATION:

this will be ANSWER

ACCORDING to me

Discussion

15.	In a survey of 300 adults, 15% did not know how to ride a bike. How many people can ride a bike ?
Answer» ANSWER: 255 is the answer of your QUESTION

15.

In a survey of 300 adults, 15% did not know how to ride a bike. How many people can ride a bike ?

Answer»

ANSWER:

255 is the answer of your QUESTION

Discussion

16.	Write the following rational number in decimal form 18/42
Answer» ANSWER: *THEREFORE, 18:42 = 0.42857 in DECIMAL FORM.*

16.

Write the following rational number in decimal form 18/42

Answer»

ANSWER:

THEREFORE, 18:42 = 0.42857 in DECIMAL FORM.

Discussion

17.	Find the value x in(_247) ÷ (×)=13
Answer» ANSWER: -19 Step-by-step EXPLANATION: (-247)÷13 = X -19 = x

17.

Find the value x in(_247) ÷ (×)=13

Answer»

ANSWER:

-19

Step-by-step EXPLANATION:

(-247)÷13 = X

-19 = x

Discussion

18.	If the sum of zeroes of polynomial 5multiply2 -4kx+2is8 then what is the value of k is
Answer» ANSWER: OK NICE QUESTION how it i answer this QUESTIN

18.

If the sum of zeroes of polynomial 5multiply2 -4kx+2is8 then what is the value of k is

Answer»

ANSWER:

OK NICE QUESTION how it i answer this QUESTIN

Discussion

19.	Find the missing number Circle Mai value hai 7 9 ? 51
Answer» ANSWER: 35 is the answer of your QUESTION

19.

Find the missing number Circle Mai value hai 7 9 ? 51

Answer»

ANSWER:

35 is the answer of your QUESTION

Discussion

20.	Cos4theta-cos2theta=sin4theta-sin2theta
Answer» Step-by-step explanation: Proof :- We have , LHS = cos ^4 theta - cos ^2 theta = cos^2 theta ( cos^2 theta - 1) = -sin^2 theta cos^2 theta ........(1) RHS = sin^4 theta - sin ^2 theta = sin^2 theta ( sin^2 theta -1) = - sin^2 theta • cos^2 theta ............(2) From (1) and (2), we have LHS = RHS cos^4 theta - cos^2 theta = sin^4 theta - sin^2 theta Hence , proved PLEASE MARK it as BRAINLIEST and follow me please

20.

Cos4theta-cos2theta=sin4theta-sin2theta

Answer»

Step-by-step explanation:

Proof :-

We have , LHS =

cos ^4 theta - cos ^2 theta

= cos^2 theta ( cos^2 theta - 1)

= -sin^2 theta cos^2 theta ........(1)

RHS =

sin^4 theta - sin ^2 theta

= sin^2 theta ( sin^2 theta -1)

= - sin^2 theta • cos^2 theta ............(2)

From (1) and (2), we have

LHS = RHS

cos^4 theta - cos^2 theta = sin^4 theta - sin^2 theta

Hence , proved

PLEASE MARK it as BRAINLIEST and follow me please

Discussion

21.	If a is a matrix of order 23 and b is an order of matrix 32What is the order of matrix (ab)
Answer» ❤ $\huge\mathfrak{\underline{\underline{\red{Answer:-}}}}$ a 2x3 b 3x2 ab = 2X2

21.

If a is a matrix of order 23 and b is an order of matrix 32What is the order of matrix (ab)

Answer»

❤ $\huge\mathfrak{\underline{\underline{\red{Answer:-}}}}$

a 2x3

b 3x2

ab = 2X2

Discussion

22.	Simplify these expression and find their values if X= 3,a = -1,b= -23A + 5 - 8 x + 1
Answer» ANSWER: The answer is 27 3A + 5 - 8x + 1 = 3A + 5 + 1 - 8x = 3(-1) + 6 + 8(3) = -3 + 6 + 24 = 27 Step-by-step EXPLANATION:

22.

Simplify these expression and find their values if X= 3,a = -1,b= -23A + 5 - 8 x + 1

Answer»

ANSWER:

The answer is 27

3A + 5 - 8x + 1 = 3A + 5 + 1 - 8x = 3(-1) + 6 + 8(3) = -3 + 6 + 24 = 27

Step-by-step EXPLANATION:

Discussion

23.	Root 2-1+root 6 by root 5
Answer» $\huge{\boxed{\mathcal\pink{\fcolorbox{red}{orange}{solution}}}}$ $\frac{ \sqrt{2 - 1} + \sqrt{6} }{5}$ $☺️☺️☺️☺️☺️☺️☺️$ $☺️☺️☺️☺️☺️☺️☺️$ $☺hi HEARTIE here☺️$ $☺️☺️☺️☺️☺️☺️☺️$ $☺hi HEARTIE here☺️$ ➻❥T꙰H꙰A꙰N꙰K꙰Y꙰O꙰U꙰➻❥ $☺️☺️☺️☺️☺️☺️☺️$ $☺hi HEARTIE here☺️$ ➻❥T꙰H꙰A꙰N꙰K꙰Y꙰O꙰U꙰➻❥ ♡ＬＯＶＥＹＯＵＲＳＥＬＦ♡ $☺️☺️☺️☺️☺️☺️☺️$ $☺hi HEARTIE here☺️$ ➻❥T꙰H꙰A꙰N꙰K꙰Y꙰O꙰U꙰➻❥ ♡ＬＯＶＥＹＯＵＲＳＥＬＦ♡❤️❤️ MARK me brainliest❤️❤️ $☺️☺️☺️☺️☺️☺️☺️$ $☺hi HEARTIE here☺️$ $☺️☺️☺️☺️☺️☺️☺️$ ➻❥T꙰H꙰A꙰N꙰K꙰Y꙰O꙰U꙰➻❥ ♡ＬＯＶＥＹＯＵＲＳＥＬＦ♡❤️❤️ Mark me brainliest❤️❤️

23.

Root 2-1+root 6 by root 5

Answer»

$\huge{\boxed{\mathcal\pink{\fcolorbox{red}{orange}{solution}}}}$

$\frac{ \sqrt{2 - 1} + \sqrt{6} }{5}$

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Discussion

24.	S.p and c.p $50.00 and $80.00
Answer» CP= $80 SP= $50 SINCE CP>SP THEREFORE LOSS

24.

S.p and c.p $50.00 and $80.00

Answer»

CP= $80

SP= $50

SINCE CP>SP

THEREFORE LOSS

Discussion

25.	3. Three consecutive integers added upto 63. What are theseintegers?
Answer» Answer: 20,21,22 Step-by-step EXPLANATION: let the NUMBERS be x,x+1,x+2 so , ACCORDING to the question x+x+1+x+2=63 3x+3=63 3x=63-3 3x=60 x=60/3 x=20 so the integers are 20,21,22

25.

3. Three consecutive integers added upto 63. What are theseintegers?

Answer»

Answer:

20,21,22

Step-by-step EXPLANATION:

let the NUMBERS be x,x+1,x+2

so , ACCORDING to the question

x+x+1+x+2=63

3x+3=63

3x=63-3

3x=60

x=60/3

x=20

so the integers are 20,21,22

Discussion

26.	What is the length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple?22294142
Answer» Step-by-step explanation: 29 is answer Add SQUARE of both then UNDEROOT

26.

What is the length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple?22294142

Answer»

Step-by-step explanation:

29 is answer

Add SQUARE of both then UNDEROOT

Discussion

27.	2. Sum of the digits of a two digit number is 7.When we interchangethe digits, it is found that the resulting new number is greaterthan the original number by 45. What is the two-digit number?
Answer» Answer : The required TWO DIGIT number is 16 Given : Sum of the digits of a two digit number is 7 When the digits are interchanged , it is found that resulting new number is greater than the original number by 45. To Find : The two digit number Solution : Let US consider the digits be x and y respectively Therefore , the two digit number is $\sf \dashrightarrow 10x + y$ According to question $\sf \implies x + y = 7......(1)$ Again by question $\sf \implies 10y + x = 10x + y + 45 \\\\ \sf \implies 10y - y + x - 10x = 45 \\\\ \sf\implies 9y - 9x = 45\\\\ \sf \implies 9(y-x)=45\\\\ \sf\implies y - x = 5 ........(2)$ Adding (1) and (2) we have , $\sf \implies x + y + y - x = 7+5\\\\ \sf\implies 2y = 12 \\\\ \sf\implies y = 6$ Putting the value of y in (1) $\sf\implies x + 6 = 7 \\\\ \sf \implies x = 7-6\\\\ \sf\implies x = 1$ Thus , the required number is $\sf\dashrightarrow 10\times1+6\\\\ \sf\dashrightarrow 16$ Read more about similar type of question , the link is provided below : brainly.in/question/18000883

27.

2. Sum of the digits of a two digit number is 7.When we interchangethe digits, it is found that the resulting new number is greaterthan the original number by 45. What is the two-digit number?

Answer»

Answer :

The required TWO DIGIT number is 16

Given :

Sum of the digits of a two digit number is 7
When the digits are interchanged , it is found that resulting new number is greater than the original number by 45.

To Find :

The two digit number

Solution :

Let US consider the digits be x and y respectively

Therefore , the two digit number is

$\sf \dashrightarrow 10x + y$

According to question

$\sf \implies x + y = 7......(1)$

Again by question

$\sf \implies 10y + x = 10x + y + 45 \\\\ \sf \implies 10y - y + x - 10x = 45 \\\\ \sf\implies 9y - 9x = 45\\\\ \sf \implies 9(y-x)=45\\\\ \sf\implies y - x = 5 ........(2)$

Adding (1) and (2) we have ,

$\sf \implies x + y + y - x = 7+5\\\\ \sf\implies 2y = 12 \\\\ \sf\implies y = 6$

Putting the value of y in (1)

$\sf\implies x + 6 = 7 \\\\ \sf \implies x = 7-6\\\\ \sf\implies x = 1$

Thus , the required number is

$\sf\dashrightarrow 10\times1+6\\\\ \sf\dashrightarrow 16$

Read more about similar type of question , the link is provided below :

brainly.in/question/18000883

Discussion

28.	Find the sum of all the odd numbers between 27 and 361 inclusive.
Answer» Answer: 32592 Step-by-step explanation: In this question we know the first term and the last term,and we also know that all the numbers to be taken sum off are odd; hence we can conclude that a(i.e. first term)=27 d(COMMON difference)=2 n th term is 361 Thus we will apply formula nth term= a+(n-1)d ; [here n is the total no. of terms in a SERIES] Or 361=27+(n-1)2 Or 361-27+2=2N Or 336=2n therefore n=168 so now we have a=27, d=2, L or nth term= 361 Thus we can apply the formula of summesion of an AP( arithematic progressionn)= {n(a+L)}/2 Or {168(27+361)}/2 Or {168(388)}/2 Or {65184}/2 = 32592

28.

Find the sum of all the odd numbers between 27 and 361 inclusive.

Answer»

Answer:

32592

Step-by-step explanation:

In this question we know the first term and the last term,and we also know that all the numbers to be taken sum off are odd;

hence we can conclude that

a(i.e. first term)=27
d(COMMON difference)=2
n th term is 361

Thus we will apply formula

nth term= a+(n-1)d ; [here n is the total no. of terms in a SERIES]

Or 361=27+(n-1)2

Or 361-27+2=2N

Or 336=2n

therefore n=168

so now we have

a=27,
d=2,
L or nth term= 361

Thus we can apply the formula of summesion of an AP( arithematic progressionn)= {n(a+L)}/2

Or {168(27+361)}/2

Or {168(388)}/2

Or {65184}/2

= 32592

Discussion

29.	গুনক ৩৬৭ গুনফল ০ হলে গুন্য কত?
Answer» Answer: Step-by-step explanation: SORRY DUDE CAN'T UNDERSTAND UR LANGUAGE.........

29.

গুনক ৩৬৭ গুনফল ০ হলে গুন্য কত?

Answer»

Answer:

Step-by-step explanation:

SORRY DUDE CAN'T UNDERSTAND UR LANGUAGE.........

Discussion

30.	Find the area of the quadrilateral ABCD given in the picture given above
Answer» Answer: 73.5 Step-by-step EXPLANATION: AREA of TRAPEZIUM is (a+b)h/2 a=6 b=15 h=7 (6+15)×7/2 73.5

30.

Find the area of the quadrilateral ABCD given in the picture given above

Answer»

Answer:

73.5

Step-by-step EXPLANATION:

AREA of TRAPEZIUM is

(a+b)h/2

a=6

b=15

h=7

(6+15)×7/2

73.5

Discussion

31.	Radha makes a cuboid of plasticine of sides 3cm×3cm×4cm. How many such cuboids will she need to form a cube?
Answer» Step-by-step explanation: The least integer side of cube is the L.C.M. of sides of small CUBOID 3,3,4 i.e. =12 which is completely DIVISIBLE by each of three sides of small cuboid hence the NUMBER of cuboids 3cm×3cm×4cm =VOLUME of cube of side 12 cmvolume of cuboid of sides 3cm×3cm×4cm =12^3/3×3×4 =48

31.

Radha makes a cuboid of plasticine of sides 3cm×3cm×4cm. How many such cuboids will she need to form a cube?

Answer»

Step-by-step explanation:

The least integer side of cube is the L.C.M. of sides of small CUBOID 3,3,4 i.e. =12 which is completely DIVISIBLE by each of three sides of small cuboid hence the NUMBER of cuboids 3cm×3cm×4cm

=VOLUME of cube of side 12 cmvolume of cuboid of sides 3cm×3cm×4cm

=12^3/3×3×4

=48

Discussion

32.	1. Determine whether x and y show a direct variation or inverse variation, or neither and fill in the blank space.X 1.5 2.5 4 5Y 20 12 7.5
Answer» $From \: the \: given \: data$ $Let \: x_{1} = 1.5, x_{2} = 2.5 , x_{3} = 4, x_{4} = 5 ,$ $and \: y_{1} = 20, y_{2} = 12, y_{3} = 7 t, y_{4} = \red{?}$ $i) \frac{x_{1}}{y_{1}} = \frac{1.5}{20} = 0.075$ $ii) \frac{x_{2}}{y_{2}} = \frac{2.5}{12} = 0.208$ $\blue{ \frac{x_{1}}{y_{1}} \neq \frac{x_{2}}{y_{2}}}$ $\therefore x \: not \: directly \:varies \: to \:y$ $Now, x_{1} \times y_{1} = 1.5 \times 20 = 30$ $x_{2} \times y_{2} = 2.5 \times 12 = 30$ $x_{3} \times y_{3} = 4 \times 7.5 = 30$ $\pink { x_{1} \times y_{1} = x_{2} \times y_{2} = x_{3} \times y_{3}}$ $\therefore \green { x \: and \: y \: show \: inverse }$ $\green{ variation}$ $Now, x_{4} \times y_{4} = 30$ $\implies 5 \times y_{4} = 30$ $\implies y_{4} = \frac{30}{5}$ $\implies y_{4} = 6$ •••♪

32.

1. Determine whether x and y show a direct variation or inverse variation, or neither and fill in the blank space.X 1.5 2.5 4 5Y 20 12 7.5

Answer»

$From \: the \: given \: data$

$Let \: x_{1} = 1.5, x_{2} = 2.5 , x_{3} = 4, x_{4} = 5 ,$

$and \: y_{1} = 20, y_{2} = 12, y_{3} = 7 t, y_{4} = \red{?}$

$i) \frac{x_{1}}{y_{1}} = \frac{1.5}{20} = 0.075$

$ii) \frac{x_{2}}{y_{2}} = \frac{2.5}{12} = 0.208$

$\blue{ \frac{x_{1}}{y_{1}} \neq \frac{x_{2}}{y_{2}}}$

$\therefore x \: not \: directly \:varies \: to \:y$

$Now, x_{1} \times y_{1} = 1.5 \times 20 = 30$

$x_{2} \times y_{2} = 2.5 \times 12 = 30$

$x_{3} \times y_{3} = 4 \times 7.5 = 30$

$\pink { x_{1} \times y_{1} = x_{2} \times y_{2} = x_{3} \times y_{3}}$

$\therefore \green { x \: and \: y \: show \: inverse }$

$\green{ variation}$

$Now, x_{4} \times y_{4} = 30$

$\implies 5 \times y_{4} = 30$

$\implies y_{4} = \frac{30}{5}$

$\implies y_{4} = 6$

•••♪

Discussion

33.	24), Four times the difference in ages of C and A is one more then the age of B. percentage of A's age to C's age is 75%. if the ratio of B's age 5 years hence to C's age age 1 year ago is 4:3. Find the average of ages A and C. a) 20 (b) 19 (C) 12 (d) 14 (e) None
Answer» Answer: 14 Step-by-step EXPLANATION: A is 12, B is 15, C is 16 (12 + 16) / 2 = 14

33.

24), Four times the difference in ages of C and A is one more then the age of B. percentage of A's age to C's age is 75%. if the ratio of B's age 5 years hence to C's age age 1 year ago is 4:3. Find the average of ages A and C. a) 20 (b) 19 (C) 12 (d) 14 (e) None

Answer»

Answer:

14

Step-by-step EXPLANATION:

A is 12, B is 15, C is 16

(12 + 16) / 2 = 14

Discussion

34.	an invoice quotes a price of $620 subject to discounts of 30%, 15% and 5%. what is the selling price?
Answer» Given : an invoice QUOTES a price of $620 subject to discounts of 30%, 15% and 5%. To find : what is the selling price Solution: Successive DISCOUNT of 30%, 15% and 5%. Selling price = 620 (1 - 30/100)(1 - 15/100)(1 - 5/100) = 620 (0.7)(0.85)(0.95) = 350.455 $ selling price = 350.455 $ Detailed Solution : price = $620 30% discount = (30/100)620 = 186 $ price after discount = 620 - 186 = 434 $ 15 % Discount = (15/100)434 = 65.1$ price after discount = 434 - 65.1 = 368.9$ 5% Discount = (5/100)368.9 = 18.455% final selling Price = 350.455 $ Learn more: What is equivalent discount of three successive discount of 10 ... brainly.in/question/7961270 the difference between a 40% discount on 2000 rupees and ... brainly.in/question/8003895

34.

an invoice quotes a price of $620 subject to discounts of 30%, 15% and 5%. what is the selling price?

Answer»

Given : an invoice QUOTES a price of $620 subject to discounts of 30%, 15% and 5%.

To find : what is the selling price

Solution:

Successive DISCOUNT of 30%, 15% and 5%.

Selling price = 620 (1 - 30/100)(1 - 15/100)(1 - 5/100)

= 620 (0.7)(0.85)(0.95)

= 350.455 $

selling price = 350.455 $

Detailed Solution :

price = $620

30% discount = (30/100)620 = 186 $

price after discount = 620 - 186 = 434 $

15 % Discount = (15/100)434 = 65.1$

price after discount = 434 - 65.1 = 368.9$

5% Discount = (5/100)368.9 = 18.455%

final selling Price = 350.455 $

Learn more:

What is equivalent discount of three successive discount of 10 ...

brainly.in/question/7961270

the difference between a 40% discount on 2000 rupees and ...

brainly.in/question/8003895

Discussion

35.	Solve this question correctly and the correct awnser will be marked as brainliest.
Answer» Answer: The answer is- (a) 64 DEGREES (B) 84 degrees Step-by-step EXPLANATION:

35.

Solve this question correctly and the correct awnser will be marked as brainliest.

Answer»

Answer:

The answer is-

(a) 64 DEGREES

(B) 84 degrees

Step-by-step EXPLANATION:

Discussion

36.	Find the volue of x for which the distance between the points P( 2,_3)and Q(x,5) is 10 units
Answer» Answer: Step-by-step explanation: GIVEN: Two POINTS be A(2,-3),B(x,5) DISTANCE between AB = 10 units Distance formula = $\sqrt{(x2-x1)^2+(y2-y1)^2}$ $\sqrt{(x-2)^{2} +(5+3)^{2} }$ = 10 $(x-2)^{2} +8^{2} =100$ $(x-2)^{2} = 100-64 = 36\\ (x-2) = 6\\ x=8$

36.

Find the volue of x for which the distance between the points P( 2,_3)and Q(x,5) is 10 units

Answer»

Answer:

Step-by-step explanation:

GIVEN:

Two POINTS be A(2,-3),B(x,5)

DISTANCE between AB = 10 units

Distance formula = $\sqrt{(x2-x1)^2+(y2-y1)^2}$

$\sqrt{(x-2)^{2} +(5+3)^{2} }$ = 10

$(x-2)^{2} +8^{2} =100$

$(x-2)^{2} = 100-64 = 36\\ (x-2) = 6\\ x=8$

Discussion

37.	7/5-under root3 what is the answer
Answer» Answer: The answer is 35 + 7 root3/22 Step-by-step EXPLANATION: By RATIONALIZING the denominator

37.

7/5-under root3 what is the answer

Answer»

Answer:

The answer is 35 + 7 root3/22

Step-by-step EXPLANATION:

By RATIONALIZING the denominator

Discussion

38.	26 +21+16+.....+x=11 then x=?
Answer» Step-by-step EXPLANATION: HOPE it HELPS you.....

38.

26 +21+16+.....+x=11 then x=?

Answer»

Step-by-step EXPLANATION:

HOPE it HELPS you.....

Discussion

39.	The difference between the greatest and smallest number which when rounded of a number to the nearest hundred as 9980 is
Answer» Answer: 10000 THINK so it will HELP you PLZ MARK me as BRAINLIEST

39.

The difference between the greatest and smallest number which when rounded of a number to the nearest hundred as 9980 is

Answer»

Answer:

10000

THINK so it will HELP you

PLZ MARK me as BRAINLIEST

Discussion

40.	Ram has 8 balls .it contains 0.25,0.5,0.75 kgs.he served to 3 children.They have a same weighted balls.The balls are assembled in 5,2,1 balls in each one respectively
Answer» ANSWER: USUD dudhd didijs x883 dbdhdbf hdhddnnd heud

40.

Ram has 8 balls .it contains 0.25,0.5,0.75 kgs.he served to 3 children.They have a same weighted balls.The balls are assembled in 5,2,1 balls in each one respectively

Answer»

ANSWER:

USUD dudhd didijs x883 dbdhdbf hdhddnnd heud

Discussion

41.	Writethree polynomials and create three questions
Answer» Answer: Dear i)Polynomial of degree 2. x^{2} +x+1 has no real roots. Question:SHOW that, x^{2} +x+1 has no real roots. ii)Polynomial of degree 11 (x+3)^{4} (x-2)^7 having x=-3 and x=2 real roots Question:Find roots of (x+3)^{4} (x-2)^7 iii)Polynomial of degree 9 (x-3)^{4} (x+2)^5 having x=3 and x=-2 real roots. Question:Find roots of (x-3)^{4} (x+2)^5 Hope it helps Thanks Read more on Brainly.in - brainly.in/question/5482645#readmore

41.

Writethree polynomials and create three questions

Answer»

Answer:

Dear

i)Polynomial of degree 2.

x^{2} +x+1 has no real roots.

Question:SHOW that, x^{2} +x+1 has no real roots.

ii)Polynomial of degree 11

(x+3)^{4} (x-2)^7

having x=-3 and x=2 real roots

Question:Find roots of (x+3)^{4} (x-2)^7

iii)Polynomial of degree 9

(x-3)^{4} (x+2)^5

having x=3 and x=-2 real roots.

Question:Find roots of (x-3)^{4} (x+2)^5

Hope it helps

Thanks

Read more on Brainly.in - brainly.in/question/5482645#readmore

Discussion

42.	A=2,b=3then a=bq+r now find the answer
Answer» a=2 b=3 therefore 2=3q+r it is IMPOSSIBLE

42.

A=2,b=3then a=bq+r now find the answer

Answer»

a=2

b=3

therefore

2=3q+r

it is IMPOSSIBLE

Discussion

43.	(x-5)^2(x+2)^3(x-4)/(x-3)^4 less than or equal to 0
Answer» ANSWER: ⓗⓤ ⓜⓐⓣⓔⓢ ⓗⓔⓡⓔ ⓘⓢ ⓨⓞⓤⓡ ⓐⓝⓢⓦⓔⓡ:- (x-5) ^2(x+2) ^3(x-4) /(x-3) ^4 is equal to 0

43.

(x-5)^2(x+2)^3(x-4)/(x-3)^4 less than or equal to 0

Answer»

ANSWER:

ⓗⓤ ⓜⓐⓣⓔⓢ ⓗⓔⓡⓔ ⓘⓢ ⓨⓞⓤⓡ ⓐⓝⓢⓦⓔⓡ:-

(x-5) ^2(x+2) ^3(x-4) /(x-3) ^4

is equal to 0

Discussion

44.	Which of the following geometrical figure we mark arrow noational on both sides of it ?a) line segment b) line c) point d) Ray
Answer» ANSWER: LINE sgment Step-by-step EXPLANATION: HOPE this HELPFUL

44.

Which of the following geometrical figure we mark arrow noational on both sides of it ?a) line segment b) line c) point d) Ray

Answer»

ANSWER:

LINE sgment

Step-by-step EXPLANATION:

HOPE this HELPFUL

Discussion

45.	find the smallest number by which each of the following numbers must be divided to obtain a perfect cube 729
Answer» 249 MUST be MULTIPLIED by 3 to obtain 729 hope my answer is helpful please follow me on Brainly

45.

find the smallest number by which each of the following numbers must be divided to obtain a perfect cube 729

Answer»

249 MUST be MULTIPLIED by 3 to obtain 729

hope my answer is helpful

please follow me on Brainly

Discussion

46.	Write 5 equivalent rational number to -7/9 -3/7
Answer» $\huge\mathfrak{\underline{\underline{\red{Answer:-}}}}$ 4/7= 8/14, 12/21, 16/28, 20/35, 24/42 -6/4= -12/8, -18/12, -24/16, -30/20, -36/24 4/5= 8/10, 12/15, 16/20, 20/25, 24/30 1/5= 2/10, 3/15, 4/20, 5/25, 6/30

46.

Write 5 equivalent rational number to -7/9 -3/7

Answer»

$\huge\mathfrak{\underline{\underline{\red{Answer:-}}}}$

4/7= 8/14, 12/21, 16/28, 20/35, 24/42

-6/4= -12/8, -18/12, -24/16, -30/20, -36/24

4/5= 8/10, 12/15, 16/20, 20/25, 24/30

1/5= 2/10, 3/15, 4/20, 5/25, 6/30

Discussion

47.	বিষয় বস্তুরএ্যাসাইনমেন্ট/নির্ধারিতকাজরানামমসংক্ষিপ্ত প্রশ্ন:১. ইসলামের সাথে ইমানের সম্পর্ক খুবই নিবিড়” কথাটিব্যাখ্যা কর।২. কপটতার নিদর্শন গুলাে কী কী?৩. নবি-রাসুলের পার্থক্য বর্ণনা কর।৪. হাশরের ময়দানে কয় ধরণের শাফায়াত কার্যকর হবে?ব্যাখ্যা কর।
Answer» ANSWER: which is this LANGUAGE

47.

বিষয় বস্তুরএ্যাসাইনমেন্ট/নির্ধারিতকাজরানামমসংক্ষিপ্ত প্রশ্ন:১. ইসলামের সাথে ইমানের সম্পর্ক খুবই নিবিড়” কথাটিব্যাখ্যা কর।২. কপটতার নিদর্শন গুলাে কী কী?৩. নবি-রাসুলের পার্থক্য বর্ণনা কর।৪. হাশরের ময়দানে কয় ধরণের শাফায়াত কার্যকর হবে?ব্যাখ্যা কর।

Answer»

ANSWER:

which is this LANGUAGE

Discussion

48.	Hrs Min 11 30 - 8 50-------------------------=
Answer» Answer is 3 hours and 20 MINUTES MARK me as brainlist and GIVE me thanks

Discussion

49.	Pls help me with this question.NO SPAM.....
Answer» ANSWER: a is the RIGHT answer.................

49.

Pls help me with this question.NO SPAM.....

Answer»

ANSWER:

a is the RIGHT answer.................

Discussion

50.	A. B और C एक टैंक से जुड़े तीन वाल्व है। A और B मिलकर टैंक को 6 घंटे में भर सकते हैं। B और Cमिलकर टैक को 10 घंटे में भर सकते हैं। A और C मिलकर टैंक को 72 घंटे में भर सकते हैं। A अकेला टैंक कोभरने में कुल कितना समय लेगा?
Answer» ANSWER: $\huge\mathbb\purple{ANSWER}$

50.

A. B और C एक टैंक से जुड़े तीन वाल्व है। A और B मिलकर टैंक को 6 घंटे में भर सकते हैं। B और Cमिलकर टैक को 10 घंटे में भर सकते हैं। A और C मिलकर टैंक को 72 घंटे में भर सकते हैं। A अकेला टैंक कोभरने में कुल कितना समय लेगा?

Answer»

ANSWER:

$\huge\mathbb\purple{ANSWER}$

Discussion

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