332354 + Interview Questions in Secondary School in Math

1.	104, ? ,96, 120, 83 what is number series in ? mark
Answer» Answer: 98 will be the MISSING NUMBER

1.

104, ? ,96, 120, 83 what is number series in ? mark

Answer»

Answer:

98 will be the MISSING NUMBER

Discussion

2.	Find the cost price selling price is equals to rupees 444 loss equals to 7.5%
Answer» Step-by-step EXPLANATION: CP = SP * 100/100- LOSS % 444 * 100/92.5 4.8 * 100 480

2.

Find the cost price selling price is equals to rupees 444 loss equals to 7.5%

Answer»

Step-by-step EXPLANATION:

CP = SP * 100/100- LOSS %

444 * 100/92.5

4.8 * 100

480

Discussion

3.	TV dekhna bahut pasand hai to aap ki Mataji Khoya barbadi lagti hai aapke aur Mataji ka bich jo sanvadh Honge 50 shabdo me me likhiye
Answer» Jyada TAR baat hiton SE HI hogi waise toh jab tv dekhna itna achha lagta HAI

Discussion

4.	EXERCISE 61. What would you subtract from 78,580 so that the difference is equal to the sum of24,082 and 13,5707
Answer» Answer: 24082+135707=78580+x Step-by-step EXPLANATION:

4.

EXERCISE 61. What would you subtract from 78,580 so that the difference is equal to the sum of24,082 and 13,5707

Answer»

Answer:

24082+135707=78580+x

Step-by-step EXPLANATION:

Discussion

5.	Find the square root of number 8081 by long division method
Answer» ANSWER: Here is your answer MATE but if it is HELPFUL so MARK as BRAINLIEST √8081 = 89.8943824719

5.

Find the square root of number 8081 by long division method

Answer»

ANSWER:

Here is your answer MATE but if it is HELPFUL so MARK as BRAINLIEST

√8081 = 89.8943824719

Discussion

6.	Define a * b = 2a + 2b - ab . For example 4 * 3 = 2 * 4 + 2 * 3 - 4 * 3 = 2 . If 3 * x = 2 * x , then x is( AMTI 2006)
Answer» Step-by-step EXPLANATION: $3 \times x = 2 \times 3 + 2 \times x - 3 \times x \\ but \: 3 \times x = 2 \times x ... given \\ so \: \: 2 \times x = 2 \times 3 + 2 \times x - 3 \times x \\ 2 \times 3 - 3 \times x = 0 \\ 6 = 3 \times x \\ x = \frac{6}{3} = 2 \\ ie \: \: \: x = 2$

6.

Define a * b = 2a + 2b - ab . For example 4 * 3 = 2 * 4 + 2 * 3 - 4 * 3 = 2 . If 3 * x = 2 * x , then x is( AMTI 2006)

Answer»

Step-by-step EXPLANATION:

$3 \times x = 2 \times 3 + 2 \times x - 3 \times x \\ but \: 3 \times x = 2 \times x ... given \\ so \: \: 2 \times x = 2 \times 3 + 2 \times x - 3 \times x \\ 2 \times 3 - 3 \times x = 0 \\ 6 = 3 \times x \\ x = \frac{6}{3} = 2 \\ ie \: \: \: x = 2$

Discussion

7.	How many terms are there in the A.P. -1 ,-5/6, -2/3,-1/2..........10/3?Also find its general term
Answer» ANSWER: n=27 CHECK the ATTACHMENT

7.

How many terms are there in the A.P. -1 ,-5/6, -2/3,-1/2..........10/3?Also find its general term

Answer»

ANSWER:

n=27 CHECK the ATTACHMENT

Discussion

8.	In figureAB=ACfind the value of x and y
Answer» *hence GET the ANSWER by CLICKING on the PIC,please select as brainliest answer.plz*

Discussion

9.	If a/3=b/4=c/5 then (a+b+c)/b=?
Answer» you can SEARCH this answer in GOOGLE or INTERNET my DEAR friend .

Discussion

10.	If one zero Of P(x) = x2 - 4x +1 is underoot2 +3,find the other Zero,
Answer» <P>Answer: 2 - √3 Step-by-step explanation: If one zero Of P(X) = x² - 4X +1 is 2 + √3, find the other Zero, Let say other Zero = α Sum of Zeroes = - b/a = - (-4)/1 = 4 => 2 + √3 + α = 4 => α = 2 - √3 other zero is 2 - √3 Verification (x - ( 2 + √3))(x - ( 2 - √3)) = x² - x(2 + √3 + 2 - √3) + ( 2 + √3)( 2 - √3) = x² - 4x + (4 -3) = x² - 4x + 1

10.

If one zero Of P(x) = x2 - 4x +1 is underoot2 +3,find the other Zero,

Answer»

<P>Answer:

2 - √3

Step-by-step explanation:

If one zero Of P(X) = x² - 4X +1 is 2 + √3,

find the other Zero,

Let say other Zero = α

Sum of Zeroes = - b/a = - (-4)/1 = 4

=> 2 + √3 + α = 4

=> α = 2 - √3

other zero is 2 - √3

Verification

(x - ( 2 + √3))(x - ( 2 - √3))

= x² - x(2 + √3 + 2 - √3) + ( 2 + √3)( 2 - √3)

= x² - 4x + (4 -3)

= x² - 4x + 1

Discussion

11.	Find the answer of these questions
Answer» Answer: square root the NUMBERS using long DIVISION method. The REMAINDER is the answer

11.

Find the answer of these questions

Answer»

Answer:

square root the NUMBERS using long DIVISION method. The REMAINDER is the answer

Discussion

12.	Draw a graph of the equation x+6y=12please do this question
Answer» ANSWER: x+6y=12 x+y=6÷12 66 and

12.

Draw a graph of the equation x+6y=12please do this question

Answer»

ANSWER:

x+6y=12

x+y=6÷12

66 and

Discussion

13.	1) 05 +4J (10)45-(-6){4-6-2} +3{5+(-2)*(-6)}
Answer» Step-by-step EXPLANATION: what MEANS J and * in the QUESTION

13.

1) 05 +4J (10)45-(-6){4-6-2} +3{5+(-2)*(-6)}

Answer»

Step-by-step EXPLANATION:

what MEANS J and * in the QUESTION

Discussion

14.	√2 is a polynomial of degree? (i) 1 (ii) 2 (iii) 0 (iv) 3
Answer» ANSWER: 0 is the answer it is a ZERO POLYNOMIAL

14.

√2 is a polynomial of degree? (i) 1 (ii) 2 (iii) 0 (iv) 3

Answer»

ANSWER:

0 is the answer it is a ZERO POLYNOMIAL

Discussion

15.	Solution of -300-(-125)+(-50)-75
Answer» ANSWER: -300 - (- 125)+ (-50) - 75 = -300+ 125- 50 - 75 = 125 -300 - 50 - 75 = 125 - 425 = -30 0

15.

Solution of -300-(-125)+(-50)-75

Answer»

ANSWER:

-300 - (- 125)+ (-50) - 75

= -300+ 125- 50 - 75

= 125 -300 - 50 - 75

= 125 - 425

= -30 0

Discussion

16.	Write the roman numerals is 85,42,1623,399,97,30
Answer» ANSWER: VIIV IVII IVIIIIII IIIIXIX IXVII XXX Step-by-step EXPLANATION:

16.

Write the roman numerals is 85,42,1623,399,97,30

Answer»

ANSWER:

VIIV

IVII

IVIIIIII

IIIIXIX

IXVII

XXX

Step-by-step EXPLANATION:

Discussion

17.	if speed of a motor boat is 30km/h.how far would The motor boat in 4&half hour .how much time this motor boat will take to go 90km
Answer» ANSWER: part1 S=30km/h t=4 1/2 hrs distance= SPEEDtime 304.5=135km part 2 d=90km s=30km/h t=distance DIVIDED by speed i.e 90/30=3hrs

17.

if speed of a motor boat is 30km/h.how far would The motor boat in 4&half hour .how much time this motor boat will take to go 90km

Answer»

ANSWER:

part1

S=30km/h

t=4 1/2 hrs

distance= SPEED*time

30*4.5=135km

part 2

d=90km

s=30km/h

t=distance DIVIDED by speed

i.e 90/30=3hrs

Discussion

18.	Write the roman numerals is 576
Answer» Step-by-step explanation: 576 = DLXXVI is the ROMAN NUMBER of 576

18.

Write the roman numerals is 576

Answer»

Step-by-step explanation:

576 = DLXXVI is the ROMAN NUMBER of 576

Discussion

19.	Show that x-2 is a factor of 5x^2 +15x-50
Answer» Step-by-step EXPLANATION: HI mate here is your answer PLEASE REMARK my answer as a BRAINLIST answer

19.

Show that x-2 is a factor of 5x^2 +15x-50

Answer»

Step-by-step EXPLANATION:

HI mate here is your answer PLEASE REMARK my answer as a BRAINLIST answer

Discussion

20.	Write the roman numericals 137
Answer» ANSWER: CXXXVII That's the ROMAN FORM

20.

Write the roman numericals 137

Answer»

ANSWER:

CXXXVII

That's the ROMAN FORM

Discussion

21.	Find the value of 1 divided by 3 root 4 raise to the power of minus 5
Answer» ANSWER: OH MATHS I HATE maths.....

21.

Find the value of 1 divided by 3 root 4 raise to the power of minus 5

Answer»

ANSWER:

OH MATHS

I HATE maths.....

Discussion

22.	Simplify 1/4 +[1/2 × 1/2÷{1/2×1/2÷1/2+( 1/2 ÷ 1/2 ) } ]
Answer» ANSWER: answer is 7/4 Step-by-step explanation: 1/4+(1/21/2 / (1/2 1/2 / 1/2 + (1/2 / 1/2))) is 7/4

22.

Simplify 1/4 +[1/2 × 1/2÷{1/2×1/2÷1/2+( 1/2 ÷ 1/2 ) } ]

Answer»

ANSWER:

answer is 7/4

Step-by-step explanation:

1/4+(1/2*1/2 / (1/2 * 1/2 / 1/2 + (1/2 / 1/2))) is 7/4

Discussion

23.	2)To obtain the zero of the linear polynomial (4x - 5).
Answer» ANSWER: X =5/4 Step-by-step EXPLANATION:

23.

2)To obtain the zero of the linear polynomial (4x - 5).

Answer»

ANSWER:

X =5/4

Step-by-step EXPLANATION:

Discussion

24.	If (x÷3+1, y-2÷3)=(1÷3, 1÷3)find x andy
Answer» ANSWER: HERE IS YOUR ANSWER MATE

24.

If (x÷3+1, y-2÷3)=(1÷3, 1÷3)find x andy

Answer»

ANSWER:

HERE IS YOUR ANSWER MATE

Discussion

25.	If sin A and cos A are roots of the equation then the relation among p, q and m is:
Answer»

Discussion

26.	With steps plz answer my question
Answer»

Discussion

27.	Express each of the following as a fraction in simplest form 0.3
Answer» Answer: 3/10 we will PUT out the . and put 10 over there

27.

Express each of the following as a fraction in simplest form 0.3

Answer»

Answer:

3/10

we will PUT out the . and put 10 over there

Discussion

28.	Sin 20 + sin 40 - sin 80
Answer» welcome to the CONCEPT of trigonometry. formula used : sinx-siny= 2cos{(x+y)÷2 }sin {(x-y)÷2) $\sin(<klux>20</klux>) + \sin(40) - \sin(80)$ =2cos 60 sin (-20) + sin20 =sin20[ -2cos60 +1] ( cos60=1/2) =sin20(0) =0 i hope it help you

28.

Sin 20 + sin 40 - sin 80

Answer»

welcome to the CONCEPT of trigonometry.

formula used :

sinx-siny= 2cos{(x+y)÷2 }sin {(x-y)÷2)

$\sin(<klux>20</klux>) + \sin(40) - \sin(80)$

=2cos 60 sin (-20) + sin20

=sin20[ -2cos60 +1] ( cos60=1/2)

=sin20(0)

=0

i hope it help you

Discussion

29.	In a survey 70% of those owned a car 75% of those owned TV. If 55% owned TV and car. What percent of those did not owned either TV or Car
Answer» Answer: 25shdhdudjdjksisjjs

29.

In a survey 70% of those owned a car 75% of those owned TV. If 55% owned TV and car. What percent of those did not owned either TV or Car

Answer»

Answer:

25shdhdudjdjksisjjs

Discussion

30.	For what rate of si will an amount double itself in 5yrs
Answer» ANSWER: SI RATE will be APPROX 18%

30.

For what rate of si will an amount double itself in 5yrs

Answer»

ANSWER:

SI RATE will be APPROX 18%

Discussion

31.	Find a quadratic polynomial whose zeros are 5+â2&5-â2
Answer» Answer: x²- 25x +25- a^4 is the QUADRATIC equation. Step-by-step EXPLANATION: Given the roots of the quadratic equation are 5+a² and 5-a² The SUM of roots= 25 The product of roots= 25-a^4 the general FORMAT of a quadratic equation= x² - (sum of roots)×x + product of roots of the quadratic equation x²- 25x +25- a^4

31.

Find a quadratic polynomial whose zeros are 5+â2&5-â2

Answer»

Answer:

x²- 25x +25- a^4 is the QUADRATIC equation.

Step-by-step EXPLANATION:

Given the roots of the quadratic equation are 5+a² and 5-a²

The SUM of roots= 25

The product of roots= 25-a^4

the general FORMAT of a quadratic equation= x² - (sum of roots)×x + product of roots of the quadratic equation

x²- 25x +25- a^4

Discussion

32.	2. Collect statistical data of air pollution for the last 5 years of thecities like Delhi, Mumbai and Calcutta using bar Graphs
Answer» Answer: The data represented in the graph below is curated from the open-source statistics from US Embassy. In the list of major particulate pollution rankings of cities worldwide, 14 of the 20 cities with highest pollution levels are located in India. India's financial capital Mumbai is one of the most polluted megacities across the globe. In 2013, 2014 and 2015's STATISTICAL data on air pollution, five (on an average) Indian cities ranked in top 20 polluted urban areas, but this got worse in recent YEARS. Since 2016, 14 out of 20 most polluted megacities are in India. High resolution link for statistical graph: HTTPS://ibb.co/5KFbxq2

32.

2. Collect statistical data of air pollution for the last 5 years of thecities like Delhi, Mumbai and Calcutta using bar Graphs

Answer»

Answer:

The data represented in the graph below is curated from the open-source statistics from US Embassy. In the list of major particulate pollution rankings of cities worldwide, 14 of the 20 cities with highest pollution levels are located in India. India's financial capital Mumbai is one of the most polluted megacities across the globe. In 2013, 2014 and 2015's STATISTICAL data on air pollution, five (on an average) Indian cities ranked in top 20 polluted urban areas, but this got worse in recent YEARS. Since 2016, 14 out of 20 most polluted megacities are in India.

High resolution link for statistical graph:

HTTPS://ibb.co/5KFbxq2

Discussion

33.	Formula for trigonometric ratios of compound angles
Answer» Answer: Step-by-step EXPLANATION: sin(A + B) = SINA cosB + coA sinB sin(A – B) = sinA cosB – COSA sinB cos(A + B) = cosA cosB – sinA sinB cos(A – B) = cosA cosB + sinA sinB tan(A + B) = tanA + tan B/ 1 - tan A tanB tan(A – B) = tanA - tan B/ 1 + tan A tan B sin(A + B) sin(A – B) = sin2A – sin2B = cos2B – COS2A. cos(A + B) = cos(A – B) = cos2A – sin2A – sin2B = cos2B – sin2A.

33.

Formula for trigonometric ratios of compound angles

Answer»

Answer:

Step-by-step EXPLANATION:

sin(A + B) = SINA cosB + coA sinB

sin(A – B) = sinA cosB – COSA sinB

cos(A + B) = cosA cosB – sinA sinB

cos(A – B) = cosA cosB + sinA sinB

tan(A + B) = tanA + tan B/ 1 - tan A tanB

tan(A – B) = tanA - tan B/ 1 + tan A tan B

sin(A + B) sin(A – B) = sin2A – sin2B = cos2B – COS2A.

cos(A + B) = cos(A – B) = cos2A – sin2A – sin2B = cos2B – sin2A.

Discussion

34.	Express the following in exponential form log 5power125
Answer» ANSWER: LOG5 125= 3 ...................

34.

Express the following in exponential form log 5power125

Answer»

ANSWER:

LOG5 125= 3

...................

Discussion

35.	Integers revisions gvrh
Answer» gvrh MEANS...........??

Discussion

36.	48-7+[14+{16divide20+5}]
Answer» Answer: 2.84 Step-by-step EXPLANATION:

36.

48-7+[14+{16divide20+5}]

Answer»

Answer:

2.84

Step-by-step EXPLANATION:

Discussion

37.	For what value of k the following pair has infinitenumber of solutions. (k-3)x + 3y = k and k(x+y)=12
Answer» Answer: k=+-6 Step-by-step explanation: on expanding, (k-3)x +3Y =k ...eq 1 kx+ky =12 ...eq 2 Here LET consider that, a=(k-3) , b= 3 , c=k A=k , B=k , C=12 These EQUATION has infinite solution,so, a/A=b/B=c/C (k-3)/k = 3/k = k/12 Now,On equating, 3/k = k/12 k2 = 36 On taking square root both side, k= +-6 "k2 means k has power of 2 on it" thanq...

37.

For what value of k the following pair has infinitenumber of solutions. (k-3)x + 3y = k and k(x+y)=12

Answer»

Answer:

k=+-6

Step-by-step explanation:

on expanding, (k-3)x +3Y =k ...eq 1

kx+ky =12 ...eq 2

Here LET consider that,

a=(k-3) , b= 3 , c=k

A=k , B=k , C=12

These EQUATION has infinite solution,so,

a/A=b/B=c/C

(k-3)/k = 3/k = k/12

Now,On equating,

3/k = k/12

k2 = 36

On taking square root both side,

k= +-6

"k2 means k has power of 2 on it"

thanq...

Discussion

38.	Definition of rational numbers and integers
Answer» Hey mate Rational no. - The no. in the FORM of p/q and q is not equal to 0 and both p,q are integers is CALLED rational no. Integers - All the POSITIVE and negative no. including 0 is called integer. Friend if you LIKE my answer please follow me and mark me as brainliest

38.

Definition of rational numbers and integers

Answer»

Hey mate

Rational no. - The no. in the FORM of p/q and q is not equal to 0 and both p,q are integers is CALLED rational no.

Integers - All the POSITIVE and negative no. including 0 is called integer.

Friend if you LIKE my answer please follow me and mark me as brainliest

Discussion

39.	The sides of a rectangle are inthe ratio 2:3 and its perimeter is 50 cm . find its sides
Answer» LET, the sides be 2x and 3x (according to ratio). So, LENGTH = 2x Breadth = 3x Given, Perimeter = 50 cm =>2(Length + Breadth) = 50 cm => 2 (5x) = 50 cm => 10 x = 50 cm => x = 50/10 = 5 cm Therefore, length = 2x = 2 * 5cm = 10 cm and Breadth = 3x= 3 * 5cm = 15 cm

39.

The sides of a rectangle are inthe ratio 2:3 and its perimeter is 50 cm . find its sides

Answer»

LET, the sides be 2x and 3x (according to ratio).

So, LENGTH = 2x

Breadth = 3x

Given,

Perimeter = 50 cm

=>2(Length + Breadth) = 50 cm

=> 2 (5x) = 50 cm

=> 10 x = 50 cm

=> x = 50/10 = 5 cm

Therefore, length = 2x = 2 * 5cm = 10 cm

and Breadth = 3x= 3 * 5cm = 15 cm

Discussion

40.	the position of particle x depends on time t according to the relation x =(3m/s)t-(1m/s^2)t^2 yhe speed of the particleat t=2 s is
Answer» ANSWER: hiiiiiiiiiiiiiiiiiiiiiiiiiiii

40.

the position of particle x depends on time t according to the relation x =(3m/s)t-(1m/s^2)t^2 yhe speed of the particleat t=2 s is

Answer»

ANSWER:

hiiiiiiiiiiiiiiiiiiiiiiiiiiii

Discussion

41.	Change each of these to a mixed number.
Answer» Answer: 8/3= 2 2/3 13/4= 3 1/4 17/5= 3 2/5 19/7= 2 5/7

41.

Change each of these to a mixed number.

Answer»

Answer:

8/3= 2 2/3

13/4= 3 1/4

17/5= 3 2/5

19/7= 2 5/7

Discussion

42.	If a^2+b^2=13 and ab=6,find (i)a-b
Answer» ANSWER: Step-by-step EXPLANATION:

42.

If a^2+b^2=13 and ab=6,find (i)a-b

Answer»

ANSWER:

Step-by-step EXPLANATION:

Discussion

43.	See figure 2.19. Find RP and PSusing the information given in triangle PSR
Answer» ANSWER: $\sin(30) = \frac{ps}{rs} \\ ie \: \: \: ps \: = rs \times \sin(30) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \times \frac{1}{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \\ similarly \: \cos(30) = \frac{rs}{pr} \\ thus \: \: \: pr = rs \times \cos(30) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \times \frac{ \sqrt{3} }{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \sqrt{3}$

43.

See figure 2.19. Find RP and PSusing the information given in triangle PSR

Answer»

ANSWER:

$\sin(30) = \frac{ps}{rs} \\ ie \: \: \: ps \: = rs \times \sin(30) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \times \frac{1}{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \\ similarly \: \cos(30) = \frac{rs}{pr} \\ thus \: \: \: pr = rs \times \cos(30) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \times \frac{ \sqrt{3} }{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \sqrt{3}$

Discussion

44.	How many number between 1 and 100 are exactly divisible by 7
Answer» 14 no. dear The no.s are - 7,14,21,28,35,42,49,56,63,70,77,84,91 and 98. If it helped you , PLEASE FOLLOW me and mark me as BRAINLIEST

44.

How many number between 1 and 100 are exactly divisible by 7

Answer»

14 no. dear

The no.s are -

7,14,21,28,35,42,49,56,63,70,77,84,91 and 98.

If it helped you , PLEASE FOLLOW me and mark me as BRAINLIEST

Discussion

45.	2x+3y=5; 3x-9=4y solve the equation by substitution, elimination, cross multiplication and graphical method
Answer» ANSWER: I don't NORMALLY do no no

45.

2x+3y=5; 3x-9=4y solve the equation by substitution, elimination, cross multiplication and graphical method

Answer»

ANSWER:

I don't NORMALLY do no

no

Discussion

46.	.Total number of atoms represented by the compound CuSO..5H O is(A) 27(B) 21(C) 5(D) 8
Answer» Answer: Hello DEAR User__________ Here is Your Answer...!! ____________________ Explanation:Answer: GIVEN formula of blue VITRIOL i.e. copper sulphate We have to find tatal numbers of ATOMS here CuSO₄.5H₂O Total number of Cu atom = 1 Total number of S atom = 1 Total number of O atoms = 4+5=9 Total number of H atoms = 5 × 2 =10 Tatal numbers of atoms in CuSO₄.5H₂O = 1+1+9+10=21 So option B is correct. Hope it is clear to you.

46.

.Total number of atoms represented by the compound CuSO..5H O is(A) 27(B) 21(C) 5(D) 8

Answer»

Answer:

Hello DEAR User__________

Here is Your Answer...!!

____________________

Explanation:Answer:

GIVEN formula of blue VITRIOL i.e. copper sulphate

We have to find tatal numbers of ATOMS here

CuSO₄.5H₂O

Total number of Cu atom = 1

Total number of S atom = 1

Total number of O atoms = 4+5=9

Total number of H atoms = 5 × 2 =10

Tatal numbers of atoms in CuSO₄.5H₂O = 1+1+9+10=21

So option B is correct.

Hope it is clear to you.

Discussion

47.	if x sin3 theta + y cos3 theta = sin theta cos theta and x sintheta = y cos theta prove that x2 - y2 = 1
Answer» Answer: xsin³∅ + ycos³∅ = sin∅. cos∅ X.sin³∅ + cos²∅.(ycos∅) = sin∅.cos∅ use xsin∅= ycos∅ in above xsin³∅ + cos²∅.xsin∅ = sin∅.cos∅ xsin∅( sin²∅ + cos²∅) = sin∅.cos∅ xsin∅ = sin∅.cos∅ x = cos∅ so, y = sin∅ now we KNOW, sin²∅ + cos²∅ = 1 put sin∅ = y cos∅ = x hence, x² + y² = 1 Step-by-step EXPLANATION:Hope i helped you guys PLS R8 5 STARS if it was helpful. bye!!!!

47.

if x sin3 theta + y cos3 theta = sin theta cos theta and x sintheta = y cos theta prove that x2 - y2 = 1

Answer»

Answer: xsin³∅ + ycos³∅ = sin∅. cos∅

X.sin³∅ + cos²∅.(ycos∅) = sin∅.cos∅

use xsin∅= ycos∅ in above

xsin³∅ + cos²∅.xsin∅ = sin∅.cos∅

xsin∅( sin²∅ + cos²∅) = sin∅.cos∅

xsin∅ = sin∅.cos∅

x = cos∅

so, y = sin∅

now we KNOW,

sin²∅ + cos²∅ = 1

put sin∅ = y

cos∅ = x

hence, x² + y² = 1

Step-by-step EXPLANATION:Hope i helped you guys PLS R8 5 STARS if it was helpful. bye!!!!

Discussion

48.	Represent root 6.8 on a number line
Answer» Given : √6.8 , root 6.8 To find : To be represented on Number LINE Solution: Step 1 : Draw a Number line Step 2 : Take a point A at - 6.8 on Number line Step 3 : Using Appropriate Compass Width taking 1 & -6.8 as center draw arcs on both sides of number line intersecting at X & Y Step 4 : Join X & Y intersecting number line at M ( - 2.9 ) we could also directly take -2.9 point Step 5 : Taking point M as center and compass width upto A (-6.8) or point 1 Draw a semicircle Step 6 : Draw a right angle at O (zero) on number line intersecting semicircle at P Step 7 : Taking O (zero) as center & taking compass width = OP draw an arc intersecting number line on positive side at B point B represent √6.8 on number line OP² = ((6.8 + 1)/2)² - ((6.8 + 1)/2 - 1)² = 3.9² - 2.9² = (3.9 + 2.9)(3.9 - 2.9) = (6.8)(1) = 6.8 => OP = √6.8 Learn more: represent √8.7 on a number line - Brainly.in brainly.in/question/6101797 Represent root 17 on number line by spiral method - Brainly.in brainly.in/question/545530

48.

Represent root 6.8 on a number line

Answer»

Given : √6.8 , root 6.8

To find : To be represented on Number LINE

Solution:

Step 1 : Draw a Number line

Step 2 : Take a point A at - 6.8 on Number line

Step 3 : Using Appropriate Compass Width taking 1 & -6.8 as center draw arcs on both sides of number line intersecting at X & Y

Step 4 : Join X & Y intersecting number line at M ( - 2.9 ) we could also directly take -2.9 point

Step 5 : Taking point M as center and compass width upto A (-6.8) or point 1 Draw a semicircle

Step 6 : Draw a right angle at O (zero) on number line intersecting semicircle at P

Step 7 : Taking O (zero) as center & taking compass width = OP draw an arc intersecting number line on positive side at B

point B represent √6.8 on number line

OP² = ((6.8 + 1)/2)² - ((6.8 + 1)/2 - 1)²

= 3.9² - 2.9²

= (3.9 + 2.9)(3.9 - 2.9)

= (6.8)(1)

= 6.8

=> OP = √6.8

Learn more:

represent √8.7 on a number line - Brainly.in

brainly.in/question/6101797

Represent root 17 on number line by spiral method - Brainly.in

brainly.in/question/545530

Discussion

49.	If a, b, c, d are positive real numbers such that a/3 = a+b/4 = a+b+c/5 = a+b+c+d/6, then a/b+2c+3d is: (a) 1/2(b) 1(c) 2(d) not determinable
Answer» ANSWER: d Step-by-step EXPLANATION: this is because of RATIONAL no.s

49.

If a, b, c, d are positive real numbers such that a/3 = a+b/4 = a+b+c/5 = a+b+c+d/6, then a/b+2c+3d is: (a) 1/2(b) 1(c) 2(d) not determinable

Answer»

ANSWER:

d

Step-by-step EXPLANATION:

this is because of RATIONAL no.s

Discussion

50.	6. 118 - [121 + (11 x 11)-(-4) - {3-9-2)}]7. 15 - (-3) (4-7-3) + 3 (5 + (-3)(-6)}8. 121 [17 - (15-3 (7-4)}]9. (14-7)(8 +(3+7-1)}]10. 81[59 - 78+ (13-2*5)} ]
Answer» Answer: 9 no QUESTION KAH 119 and 7 kah 66

50.

6. 118 - [121 + (11 x 11)-(-4) - {3-9-2)}]7. 15 - (-3) (4-7-3) + 3 (5 + (-3)(-6)}8. 121 [17 - (15-3 (7-4)}]9. (14-7)(8 +(3+7-1)}]10. 81[59 - 78+ (13-2*5)} ]

Answer»

Answer:

9 no QUESTION KAH 119

and 7 kah 66

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