332354 + Interview Questions in Secondary School in Math

1.	Solve the following pair of linear equations by the elimination method:(0***= 2 and = 4(B) x + y = a + b and ax - by = a-bº
Answer» ANSWER: PLEASE MARK me as a BRAINLIST and FOLLOW me

1.

Solve the following pair of linear equations by the elimination method:(0***= 2 and = 4(B) x + y = a + b and ax - by = a-bº

Answer»

ANSWER:

PLEASE MARK me as a BRAINLIST and FOLLOW me

Discussion

2.	Find2.(ortyand (not3(33+y
Answer» ANSWER: question kya HAI bhai damaj nahi AAYA

2.

Find2.(ortyand (not3(33+y

Answer»

ANSWER:

question kya HAI bhai damaj nahi AAYA

Discussion

3.	Find the square root of 1 52.7 696 in long division method
Answer» Step-by-step EXPLANATION: $\sqrt{152.7696 } \\ 12.36$

3.

Find the square root of 1 52.7 696 in long division method

Answer»

Step-by-step EXPLANATION:

$\sqrt{152.7696 } \\ 12.36$

Discussion

4.	46. If 4 men or 5 women or 7 boys can finish awork in 40 days, then the number of daystaken by 8 men, 15 women and 5 boys tofinish the work inNav
Answer» ANSWER:- I HOPE this is the CORRECT answer. please MARK it as BRAINLIEST.

4.

46. If 4 men or 5 women or 7 boys can finish awork in 40 days, then the number of daystaken by 8 men, 15 women and 5 boys tofinish the work inNav

Answer»

ANSWER:-

I HOPE this is the CORRECT answer.

please MARK it as BRAINLIEST.

Discussion

5.	Factorise:x^2 - 4ax - b^2 + 4a^2 = 0
Answer» ANSWER: *Hey* *here's* *your* *answer. Step-by-step EXPLANATION:* X^2-4ax+4a^2-b^2=0 x^2-22Ax+(2a)^2-(b)^2=0 (x-2a)^2-(b)^2=0 (x-2a-b)(x-2a+b)=0 x-2a-b=0 x-2a+b=0 x=b+2a x=2a-b Therefore, x= 2a+b or 2a-b

5.

Factorise:x^2 - 4ax - b^2 + 4a^2 = 0

Answer»

ANSWER:

Hey here's your answer.

Step-by-step EXPLANATION:

X^2-4ax+4a^2-b^2=0

x^2-2*2A*x+(2a)^2-(b)^2=0

(x-2a)^2-(b)^2=0

(x-2a-b)(x-2a+b)=0

x-2a-b=0 x-2a+b=0

x=b+2a x=2a-b

Therefore, x= 2a+b or 2a-b

Discussion

6.	(11) sin C, cos C2. In Fig. 8.13, find tan P-cot R.12 cm3
Answer» Step-by-step EXPLANATION: where is the FIGURE 8.13

6.

(11) sin C, cos C2. In Fig. 8.13, find tan P-cot R.12 cm3

Answer»

Step-by-step EXPLANATION:

where is the FIGURE 8.13

Discussion

7.	Find the discriminant of the quadratic equation 2xsquare plus x minus 4 is
Answer» Step-by-step EXPLANATION: PLS MARK as BRAINLIEST

7.

Find the discriminant of the quadratic equation 2xsquare plus x minus 4 is

Answer»

Step-by-step EXPLANATION:

PLS MARK as BRAINLIEST

Discussion

8.	Find the length of the longest rod that can be placed in a box 16cm long 10cm wide and 12cm hight
Answer» Step-by-step explanation: for a BOX that's DIAGONAL is the largest so, *diagonal* of that cuboid is = √(l^2+b^2+h^2) so, diagonal** is = √(16^2+10^2+12^2) = √(256+100+144) =√(500) = 10√5 please mark me as a BRAINLIST and FOLLOW me

8.

Find the length of the longest rod that can be placed in a box 16cm long 10cm wide and 12cm hight

Answer»

Step-by-step explanation:

for a BOX that's DIAGONAL is the largest so,

diagonal of that *cuboi***d is = √(l^2+b^2+h^2)

so, diagonal is = √(16^2+10^2+12^2)

= √(256+100+144)

=√(500)

= 10√5

please mark me as a BRAINLIST and FOLLOW me

Discussion

9.	Divide the product of 3 1/2 and 1 1/5 by 1 2/3
Answer» Answer: 7 Step-by-step EXPLANATION =(3 1/2×1 1/5)÷1 2/3 =(7/2×6/5)÷5/3 =7/2×6/5=21/5 =21/5÷5/3=7 now MARK as BRAINLEST DUDE

9.

Divide the product of 3 1/2 and 1 1/5 by 1 2/3

Answer»

Answer:

7

Step-by-step EXPLANATION

=(3 1/2×1 1/5)÷1 2/3

=(7/2×6/5)÷5/3

=7/2×6/5=21/5

=21/5÷5/3=7

now MARK as BRAINLEST DUDE

Discussion

10.	The diameter of the bullock cart wheel is 1.4 find the distance covered by it 1:50 rotation
Answer» ANSWER: ANS. 6.6 Step-by-step explanation: DISTANCE covered in 1 ROTATION = CIRCUMFERENCE of cart wheel circumference = 2πr =2 (22/7) 0.7 = 4.4 distance covered = 4.4(1.5) = 6.6

10.

The diameter of the bullock cart wheel is 1.4 find the distance covered by it 1:50 rotation

Answer»

ANSWER:

ANS. 6.6

Step-by-step explanation:

DISTANCE covered in 1 ROTATION = CIRCUMFERENCE of cart wheel

circumference = 2πr

=2 (22/7) 0.7 = 4.4

distance covered = 4.4(1.5)

= 6.6

Discussion

11.	If triangle ABC, angle B=90 find the x
Answer» Answer: where's you FIGURE bro...? I'm SORRY but FIRST UPLOAD you question CORRECTLY...

11.

If triangle ABC, angle B=90 find the x

Answer»

Answer:

where's you FIGURE bro...?

I'm SORRY but FIRST UPLOAD you question CORRECTLY...

Discussion

12.	Divide 84into two part such that one part is three times the other part .
Answer» Answer: 21 and 63 Step-by-step explanation: let ONE PART be X other part = 3X given: 3X + X = 84 4X = 84 X = 84/4 X = 21 so, 3X = 21 x 3 = 63 thus, the two no.s are 21 and 63

12.

Divide 84into two part such that one part is three times the other part .

Answer»

Answer:

21 and 63

Step-by-step explanation:

let ONE PART be X

other part = 3X

given:

3X + X = 84

4X = 84

X = 84/4

X = 21

so, 3X = 21 x 3 = 63

thus, the two no.s are 21 and 63

Discussion

13.	In an election 2795946 votes were found valid 2305 votes were found invalid and 305 persons did not vote. How many voters were registered in all
Answer» Answer: 2798556 Step-by-step explanation: no. of VALID votes=2795946 -(equation) 1 no. of invalid votes=2305 -2 no. of persons didn't vote=305 -3 therefore total no. of. votes registered =2798556(by ADDING EQ 1,2and3you GET)

13.

In an election 2795946 votes were found valid 2305 votes were found invalid and 305 persons did not vote. How many voters were registered in all

Answer»

Answer:

2798556

Step-by-step explanation:

no. of VALID votes=2795946 -(equation) 1

no. of invalid votes=2305 -2

no. of persons didn't vote=305 -3

therefore total no. of. votes registered =2798556(by ADDING EQ 1,2and3you GET)

Discussion

14.	Present worth of RS. 11660 due 9 months hence is RS. 11000 Find the rate of interest
Answer» ANSWER: HOPE it helps Step-by-step EXPLANATION: AMOUNT =₹11660. Time=9 months=9/12=3/4yrs principal=₹11000 SI=A-P=₹660 Rate of interest=100SI/PT 100660/110003/4 1006604/11000*3 =7.2

14.

Present worth of RS. 11660 due 9 months hence is RS. 11000 Find the rate of interest

Answer»

ANSWER:

HOPE it helps

Step-by-step EXPLANATION:

AMOUNT =₹11660. Time=9 months=9/12=3/4yrs

principal=₹11000

SI=A-P=₹660

Rate of interest=100*SI/P*T

100*660/11000*3/4

100*660*4/11000*3

=7.2

Discussion

15.	-4=5(-2) solve it and in the process
Answer» ANSWER: -4 = 5(-2) -4 = -10 -4+10 =0 6 Step-by-step EXPLANATION:

15.

-4=5(-2) solve it and in the process

Answer»

ANSWER:

-4 = 5(-2)

-4 = -10

-4+10 =0

6

Step-by-step EXPLANATION:

Discussion

16.	97 - 13 is equals to 11z + 27
Answer» ANSWER: z = 57/11 Step-by-step explanation: see the attachment and plzz MARK me as BRAINLIEST answer...

16.

97 - 13 is equals to 11z + 27

Answer»

ANSWER:

z = 57/11

Step-by-step explanation:

see the attachment and plzz MARK me as BRAINLIEST answer...

Discussion

17.	Find the greatest no. of 5 digits exactly divisible by 9, 12, 15, 18, and 24
Answer» Answer: 99720 Step-by-step EXPLANATION: lowest COMMON factor (LCM) of 9 12 15 18 and 24 is 360 now,since we need to find the greatest 5 digit no. therefore we have to take the greatest 6 digit no. i.e 100000 NOW , 100000 ÷ 360 = 277.7777 greatest 5 digit no. is 360×277 = 99720

17.

Find the greatest no. of 5 digits exactly divisible by 9, 12, 15, 18, and 24

Answer»

Answer:

99720

Step-by-step EXPLANATION:

lowest COMMON factor (LCM) of 9 12 15 18 and 24 is 360

now,since we need to find the greatest 5 digit no. therefore we have to take the greatest 6 digit no. i.e 100000

NOW , 100000 ÷ 360 = 277.7777

greatest 5 digit no. is 360×277 = 99720

Discussion

18.	3^sin²x+3^sin²x=4 then \|sinx\|+\|cosx\|
Answer» ANSWER $\frac{ \sqrt{2} + <klux>1</klux>}{ \sqrt{<klux>3</klux>} }$ Step-by-step explanation: $6 {sin}^{2}x \: = 4$ $so \: sinx = \sqrt{ \frac{2}{3} }$ $cosx = \sqrt{ \frac{1}{3} }$ therefore \|sinx\| + \|cosx\| = 21/2 + 1/ 31/2

18.

3^sin²x+3^sin²x=4 then |sinx|+|cosx|

Answer»

ANSWER

$\frac{ \sqrt{2} + <klux>1</klux>}{ \sqrt{<klux>3</klux>} }$

Step-by-step explanation:

$6 {sin}^{2}x \: = 4$

$so \: sinx = \sqrt{ \frac{2}{3} }$

$cosx = \sqrt{ \frac{1}{3} }$

therefore |sinx| + |cosx| = 2*1/2 + 1/ 3*1/2

Discussion

19.	Two numbers are such that the ratio between them is 5:7.if is added to each of them, the ratio becomes 3:4.find the answer
Answer» Given:- Two numbers are such that the ratio between them is 5:7. If 7 is added to each of them, the ratio becomes 3:4. To find out:- Find the value of 5:7 ? Solution:- LET the ratio between two no be 5x : 7x. ★ According to the QUESTION, If 7 is added to each of them, the ratio becomes 3:4. 5x + 7 : 7x + 7 =3:4 ⇒ 5x + 7 / 7x + 7 = 3/4 By cross- multiplication ⇒ 4 ( 5x + 7 ) = 3 ( 7x + 7 ) ⇒20X + 28 = 21x + 21 ⇒ 21x - 20x = 28 - 21 ⇒ x = 7 Now, 5x = 5 × 7 = 35 7x = 7 × 7 = 49

19.

Two numbers are such that the ratio between them is 5:7.if is added to each of them, the ratio becomes 3:4.find the answer

Answer»

Given:-

Two numbers are such that the ratio between them is 5:7.

If 7 is added to each of them, the ratio becomes 3:4.

To find out:-

Find the value of 5:7 ?

Solution:-

LET the ratio between two no be 5x : 7x.

★ According to the QUESTION,

If 7 is added to each of them, the ratio becomes 3:4.

5x + 7 : 7x + 7 =3:4

⇒ 5x + 7 / 7x + 7 = 3/4

By cross- multiplication

⇒ 4 ( 5x + 7 ) = 3 ( 7x + 7 )

⇒20X + 28 = 21x + 21

⇒ 21x - 20x = 28 - 21

⇒ x = 7

Now,

5x = 5 × 7 = 35

7x = 7 × 7 = 49

Discussion

20.	The value of 0.23232323....+0.222222222........
Answer» Step-by-step EXPLANATION: __ __ __ 1) 0.23 + 0.22 = 0.45

20.

The value of 0.23232323....+0.222222222........

Answer»

Step-by-step EXPLANATION:

__ __ __

1) 0.23 + 0.22 = 0.45

Discussion

21.	Gopi deposit rupees 4500 is his bank account is in April 2016 in draw rupees 1350 form mein din mein 2016 if withdrawal of amount is represent by are negative integer then how will you represent the amount deposit find the balance in Gopi amount after the withdrawal
Answer» ANSWER: try to the you TUBE video Step-by-step explanation: fggd me know if you NEED anything ELSE from me PLEASE let me know if you need anything

21.

Gopi deposit rupees 4500 is his bank account is in April 2016 in draw rupees 1350 form mein din mein 2016 if withdrawal of amount is represent by are negative integer then how will you represent the amount deposit find the balance in Gopi amount after the withdrawal

Answer»

ANSWER:

try to the you TUBE video

Step-by-step explanation:

fggd me know if you NEED anything ELSE from me PLEASE let me know if you need anything

Discussion

22.	The rational number -18/-13 lies to the left of 0 on the number line.
Answer» ANSWER: This is RELATION number Step-by-step EXPLANATION: -18/-13 (-) +(-) =+ 18/13

22.

The rational number -18/-13 lies to the left of 0 on the number line.

Answer»

ANSWER:

This is RELATION number

Step-by-step EXPLANATION:

-18/-13

(-) +(-) =+

18/13

Discussion

23.	A=(2 ,-9) b=(1,2) slope of line
Answer» Step-by-step explanation: *slope* of a *line* = (*y2-y1)/(x2-x1) =(2+9)/(1-2) =11/-1 = -1 please* mark me as a brainlist and follow me

23.

A=(2 ,-9) b=(1,2) slope of line

Answer»

Step-by-step explanation:

slope of a line = (y2-y1)/(x2-x1)

=(2+9)/(1-2)

=11/-1

= -1

please mark me as a brainlist and follow me

Discussion

24.	Write the following cubes in the expanded form :-[a] {3a +4b}^3[b] {5p-3q}^3
Answer» ANSWER: please MARK me as a BRAINLIST *and* *FOLLOW* me

24.

Write the following cubes in the expanded form :-[a] {3a +4b}^3[b] {5p-3q}^3

Answer»

ANSWER:

please MARK me as a BRAINLIST and FOLLOW me

Discussion

25.	∧⇆∨Each square below represents one whole. What percent is represented by the shaded area?
Answer» ANSWER: SEE... Step-by-step explanation: 12/13×100%=92.31%....

25.

∧⇆∨Each square below represents one whole. What percent is represented by the shaded area?

Answer»

ANSWER:

SEE...

Step-by-step explanation:

12/13×100%=92.31%....

Discussion

26.	Where bracket is important in 8(16-4)
Answer» HI! with my OPINION the ANSWER is 96

26.

Where bracket is important in 8(16-4)

Answer»

HI! with my OPINION the ANSWER is 96

Discussion

27.	REPRESENT 17 BY 7 ON THE NUMBER LINE
Answer» Answer: sorry buddy Step-by-step EXPLANATION: We can't represent DIVISION in NUMBER line. We can only represent addition and subtraction.

27.

REPRESENT 17 BY 7 ON THE NUMBER LINE

Answer»

Answer:

sorry buddy

Step-by-step EXPLANATION:

We can't represent DIVISION in NUMBER line.

We can only represent addition and subtraction.

Discussion

28.	Without actually calculating the cubes, evaluate (-15)^3+ 9^3+ 6^3
Answer» ANSWER: Step-by-step EXPLANATION: (-15)^3+9^3+6^3 -3375+729+96= 2550

28.

Without actually calculating the cubes, evaluate (-15)^3+ 9^3+ 6^3

Answer»

ANSWER:

Step-by-step EXPLANATION:

(-15)^3+9^3+6^3

-3375+729+96=

2550

Discussion

29.	Which is the greatest number of 5 digits which is divisible by 12'24'48'60 '90
Answer» ANSWER: kya YARR BHEJA FRY HO gaya 12345678910

29.

Which is the greatest number of 5 digits which is divisible by 12'24'48'60 '90

Answer»

ANSWER:

kya YARR BHEJA FRY HO gaya 12345678910

Discussion

30.	Write the set of the following letters of the word in Roster form i) DIFFERENCE ii)TAMILNADU
Answer» Answer: Write the set of the following letters of the word in Roster form i) DIFFERENCE II)TAMILNADU Step-by-step EXPLANATION: Write the set of the following following of the word in Roster form i) DIFFERENCE Write the set of the following letters of the word following Roster form i) DIFFERENCE ii)TAMILNADU

30.

Write the set of the following letters of the word in Roster form i) DIFFERENCE ii)TAMILNADU

Answer»

Answer:

Write the set of the following letters of the word in Roster form i) DIFFERENCE II)TAMILNADU

Step-by-step EXPLANATION:

Write the set of the following following of the word in Roster form i) DIFFERENCE Write the set of the following letters of the word following Roster form i) DIFFERENCE ii)TAMILNADU

Discussion

31.	Express the H.C.F. 30and 36 in the form of 30x + 36y
Answer» ANSWER: what you NEED about ANYONE ELSE will not UNDERSTAND

31.

Express the H.C.F. 30and 36 in the form of 30x + 36y

Answer»

ANSWER:

what you NEED about ANYONE ELSE will not UNDERSTAND

Discussion

32.	My question is 11:3:3+1/2
Answer» SOLUTION - REFER ATTACHMENT

32.

My question is 11:3:3+1/2

Answer»

SOLUTION - REFER ATTACHMENT

Discussion

33.	Q.10 Fraction(a) Write numerator and denominator of fraction45(b) Write three equivalent fractions for3(c) Arrange in ascending order3' 5' 7' 4(d)2 1Arrange in descending order1 3 47' 7' 7' 7(e) Write fraction for shaded part(1)Write equivalent fraction of 14 by reducing.16(g) Write two like fractions for 3520(h) Convert into mixed fraction321 3 5 4(i) Tick (V) Unlike fractions7² 75² 73
Answer» Answer: (a) NUMERATOR 4 denominator 5 Step-by-step EXPLANATION: here is your answer pls MARK as brainlest

33.

Q.10 Fraction(a) Write numerator and denominator of fraction45(b) Write three equivalent fractions for3(c) Arrange in ascending order3' 5' 7' 4(d)2 1Arrange in descending order1 3 47' 7' 7' 7(e) Write fraction for shaded part(1)Write equivalent fraction of 14 by reducing.16(g) Write two like fractions for 3520(h) Convert into mixed fraction321 3 5 4(i) Tick (V) Unlike fractions7² 75² 73

Answer»

Answer:

(a) NUMERATOR 4

denominator 5

Step-by-step EXPLANATION:

here is your answer

pls MARK as brainlest

Discussion

34.	(3t-2)/4 - (2t+3)/3 = 2/3 - tguys please answer this
Answer» ANSWER: t = 10/13 Step-by-step EXPLANATION: see the attachment and MARK my answer as brainliest answer....

34.

(3t-2)/4 - (2t+3)/3 = 2/3 - tguys please answer this

Answer»

ANSWER:

t = 10/13

Step-by-step EXPLANATION:

see the attachment and MARK my answer as brainliest answer....

Discussion

35.	-3.5 is a ______ number
Answer» ANSWER: -3.5 is a WHOLE number. Step-by-step EXPLANATION:

35.

-3.5 is a ______ number

Answer»

ANSWER:

-3.5 is a WHOLE number.

Step-by-step EXPLANATION:

Discussion

36.	Simplify. -65/14 ÷13/7
Answer» Step-by-step EXPLANATION: (-65/14)÷(13/7) =(65×7)/(14×13) =5/2 = 2.5

36.

Simplify. -65/14 ÷13/7

Answer»

Step-by-step EXPLANATION:

(-65/14)÷(13/7)

=(65×7)/(14×13)

=5/2

= 2.5

Discussion

37.	Which of the following rational number is the greatest ?a) 3/−7b) −5/14 c)−16/56d) −13/28
Answer» ANSWER d)-13/28. THANKS! HOPE it HELPS.

37.

Which of the following rational number is the greatest ?a) 3/−7b) −5/14 c)−16/56d) −13/28

Answer»

ANSWER

d)-13/28.

THANKS! HOPE it HELPS.

Discussion

38.	(0.3)-2 ÷ (0.4)2 and (1/-16)-1/4
Answer» Step-by-step EXPLANATION: Here, 0.3 - 2 ÷ ( 0.2) 2 0.3 - 2 ÷ 0.4 0.3 - 5 - 4.7 answer and, 1/-16 X -1/4 -1 / -64 1/64 answer

38.

(0.3)-2 ÷ (0.4)2 and (1/-16)-1/4

Answer»

Step-by-step EXPLANATION:

Here,

0.3 - 2 ÷ ( 0.2) 2

0.3 - 2 ÷ 0.4

0.3 - 5

- 4.7 answer

and,

1/-16 X -1/4

-1 / -64

1/64 answer

Discussion

39.	Which is the biggest prime number
Answer» Answer: Largest KNOWN prime number. The largest known prime number (as of January 2020) is 282,589,933 − 1, a number which has 24,862,048 DIGITS when WRITTEN in BASE 10. It was found VIA a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018.

39.

Which is the biggest prime number

Answer»

Answer:

Largest KNOWN prime number. The largest known prime number (as of January 2020) is 282,589,933 − 1, a number which has 24,862,048 DIGITS when WRITTEN in BASE 10. It was found VIA a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018.

Discussion

40.	three coins are tossed simultaneously 100 times. the following outcomes are recorded._______________________________________________outcome 3 tails 2tails 1tails no tails _______________________________________________________ frequency 23 28 23 26 _______________________________________________________ find the probability of coming up more then one tail. solve this and i give you like
Answer» Answer: 51/100 Step-by-step EXPLANATION: FAVOURABLE OUTCOMES = 51 Total outcomes = 100 P(E)= 51/100

40.

three coins are tossed simultaneously 100 times. the following outcomes are recorded.___________________outcome 3 tails 2tails 1tails no tails _ frequency 23 28 23 26 _____________________________ find the probability of coming up more then one tail. solve this and i give you like

Answer»

Answer:

51/100

Step-by-step EXPLANATION:

FAVOURABLE OUTCOMES = 51

Total outcomes = 100

P(E)= 51/100

Discussion

41.	Each square below represents one whole. What percent is represented by the shaded area?
Answer» xhgxutzd Answer: cghoy Step-by-step EXPLANATION: gyiicyictuc7c0cyotx

41.

Each square below represents one whole. What percent is represented by the shaded area?

Answer»

xhgxutzd

Answer:

cghoy

Step-by-step EXPLANATION:

gyiicyictuc7c0cyotx

Discussion

42.	I without actual division show that7is a factor of 7770077.
Answer» Step-by-step EXPLANATION: check this do u WANT expaination then MARK me as brainliest

42.

I without actual division show that7is a factor of 7770077.

Answer»

Step-by-step EXPLANATION:

check this

do u WANT expaination then MARK me as brainliest

Discussion

43.	Do the circled question i.e. 6 and 8Refer to the attachment, Thank you! (You can skip Graph question If graph ain't available)
Answer» 6. If the work done by a body on application of a constant force is directly PROPORTIONAL to the distance travelled by the body, express this in the form of an equation in two VARIABLES and draw the graph of the same by taking the constant force as 5 units. Also read from the graph the work done when the distance travelled by the body is (i) 0 units (ii) 2 units Sol: Assume that the distance travelled be x and work done be y. Work done by body is directly proportional to distance travelled. So, y ∝ x If we REMOVE the SIGN of proporinalty then there comes a constant k. So, y = kx. (force = k = 5 units) → y = 5x Now, take value of x = 0, 1, -1. On solving we get, y = 0, 5, -5 (Plot the graph taking x as 0, 1, -1 and y as 0, 5, -5) (i) 2 units Means x = 2 y = 5(2) = 10 So, work done is 10 units (ii) 0 units (x = 0) y = 5(0) = 0 units Work done is 0 units 7. In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius: F = (9/5)C + 32 (i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis. (ii) If the temperature is 30°C, what is the temperature in Fahrenheit? (iii) If the temperature is 95°F, what is the temperature in Celsius? (iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius? (v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it. Sol: (i)Given that, F = (9/5)C + 32 Now, first take F as 0 then C as 0. → 0 = (9/5)C + 32 [ F as 0 ] → -9/5 C = 32 → C = 32 × -5/9 → C = -17.78 → F = (9/5)(0) + 32 [ C as 0 ] → F = 32 (ii) If temperature is 30°C then, → F = (9/5)C + 32 → 5F - 9C = 160 ..............(1st equation) → 5F - 9C = 160 → 5F - 9(30) = 160 → 5F - 270 = 160 → 5F = 430 → F = 86°F (iii) If temperature is 95° F then, → 5F - 9C = 160 → 5(95)- 9C = 160 → 475 - 9C = 160 → 315 = 9C → C = 35° (iv) If temperature is 0°C then, → 5F - 9(0) = 160 → 5F = 160 → F = 32°F If the temperature is 0°F then, → 5(0) - 9C = 160 → -9C = 160 → C = -17.8°C (v) Yes, for this we have to take both temperature same or equal i.e. C = F → 5F - 9C = 160 → 5F - 9F = 160 → -4F= 160 → F = -40 Therefore, F = C = -40°

43.

Do the circled question i.e. 6 and 8Refer to the attachment, Thank you! (You can skip Graph question If graph ain't available)

Answer»

6. If the work done by a body on application of a constant force is directly PROPORTIONAL to the distance travelled by the body, express this in the form of an equation in two VARIABLES and draw the graph of the same by taking the constant force as 5 units. Also read from the graph the work done when the distance travelled by the body is

(i) 0 units (ii) 2 units

Sol: Assume that the distance travelled be x and work done be y.

Work done by body is directly proportional to distance travelled. So,

y ∝ x

If we REMOVE the SIGN of proporinalty then there comes a constant k. So, y = kx.

(force = k = 5 units)

→ y = 5x

Now, take value of x = 0, 1, -1. On solving we get,

y = 0, 5, -5

(Plot the graph taking x as 0, 1, -1 and y as 0, 5, -5)

(i) 2 units

Means x = 2

y = 5(2) = 10

So, work done is 10 units

(ii) 0 units (x = 0)

y = 5(0) = 0 units

Work done is 0 units

7. In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius: F = (9/5)C + 32

(i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis.

(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?

(iii) If the temperature is 95°F, what is the temperature in Celsius?

(iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius?

(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.

Sol: (i)Given that, F = (9/5)C + 32

Now, first take F as 0 then C as 0.

→ 0 = (9/5)C + 32 [ F as 0 ]

→ -9/5 C = 32

→ C = 32 × -5/9

→ C = -17.78

→ F = (9/5)(0) + 32 [ C as 0 ]

→ F = 32

(ii) If temperature is 30°C then,

→ F = (9/5)C + 32

→ 5F - 9C = 160 ..............(1st equation)

→ 5F - 9C = 160

→ 5F - 9(30) = 160

→ 5F - 270 = 160

→ 5F = 430

→ F = 86°F

(iii) If temperature is 95° F then,

→ 5F - 9C = 160

→ 5(95)- 9C = 160

→ 475 - 9C = 160

→ 315 = 9C

→ C = 35°

(iv) If temperature is 0°C then,

→ 5F - 9(0) = 160

→ 5F = 160

→ F = 32°F

If the temperature is 0°F then,

→ 5(0) - 9C = 160

→ -9C = 160

→ C = -17.8°C

(v) Yes, for this we have to take both temperature same or equal i.e. C = F

→ 5F - 9C = 160

→ 5F - 9F = 160

→ -4F= 160

→ F = -40

Therefore, F = C = -40°

Discussion

44.	f(x) = x^3 + ax^2 + bx + 3. given that when f(x) is divided by (x + 2) the remainder is 7, show that 2a - b = 6
Answer» Answer: So a=3 and b=8 Step-by-step explanation: f(x)=2X 3 +ax 2 −bx+3 At x=2 f(2)=15 f(1)=0 f(x)=2x 3 +ax 2 −bx+3 f(1)= 2+a-b+3=0 a-b+5=0......A f(x)= 2x 3 +ax 2 −bx+3 f(2)=2(2 3 )+a(2 2 )−2b+3=15 4a-2b=-4 Multiply A by 2 and subtract from above EQUATION 4a-2b=-4 2a-2b+10=0 2a-10=-4 2a= 6 a=3 From A 3-b+5=0 8-b=0 b=8 So a=3 and b=8

44.

f(x) = x^3 + ax^2 + bx + 3. given that when f(x) is divided by (x + 2) the remainder is 7, show that 2a - b = 6

Answer»

Answer:

So a=3 and b=8

Step-by-step explanation:

f(x)=2X

3

+ax

2

−bx+3

At x=2

f(2)=15

f(1)=0

f(x)=2x

3

+ax

2

−bx+3

f(1)= 2+a-b+3=0

a-b+5=0......A

f(x)= 2x

3

+ax

2

−bx+3

f(2)=2(2

3

)+a(2

2

)−2b+3=15

4a-2b=-4

Multiply A by 2 and subtract from above EQUATION

4a-2b=-4

2a-2b+10=0

2a-10=-4

2a= 6

a=3

From A

3-b+5=0

8-b=0

b=8

So a=3 and b=8

Discussion

45.	3/2x+2/3y=5,5/x-3/y=1 plz solve
Answer» ANSWER: x = 1/2, y = 1/3 Step-by-step explanation: ATTACHED IMAGE for explanation *please mark the answer as brainliest,thanks*

45.

3/2x+2/3y=5,5/x-3/y=1 plz solve

Answer»

ANSWER:

x = 1/2, y = 1/3

Step-by-step explanation:

ATTACHED IMAGE for explanation

please mark the answer as brainliest,thanks

Discussion

46.	Class 10 math questions
Answer» ANSWER: HOPE this example will help you. please MARK it as BRAINLIEST.

46.

Class 10 math questions

Answer»

ANSWER:

HOPE this example will help you.

please MARK it as BRAINLIEST.

Discussion

47.	6 by 3 root 2 - 2 root 3 = a root 2 - b root 3 find and b
Answer» Answer: We can MULTIPLY both top and bottom by 3+√2 (the CONJUGATE of 3−√2), which won't change the value of the fraction: 13−√2 × 3+√23+√2 = 3+√232−(√2)2 = 3+√27 (The denominator becomes (a+b)(a−b) = a2 − b2 which simplifies to 9−2=7) mark it as branlist ..follow me PLS..

47.

6 by 3 root 2 - 2 root 3 = a root 2 - b root 3 find and b

Answer»

Answer:

We can MULTIPLY both top and bottom by 3+√2 (the CONJUGATE of 3−√2), which won't change the value of the fraction:

13−√2 × 3+√23+√2 = 3+√232−(√2)2 = 3+√27

(The denominator becomes (a+b)(a−b) = a2 − b2 which simplifies to 9−2=7)

mark it as branlist

..follow me PLS..

Discussion

48.	Without actual division show thatis a Factor of 7770077.
Answer» Step-by-step EXPLANATION: have a GREAT DAY with your FAMILY and FRIENDS

48.

Without actual division show thatis a Factor of 7770077.

Answer»

Step-by-step EXPLANATION:

have a GREAT DAY with your FAMILY and FRIENDS

Discussion

49.	three coins are tossed simultaneously 100 times. the following outcomes are recorded.__________________________________________________________outcome 3 tails 2tails 1tails no tails _______________________________________________________ frequency 23 28 23 26 _______________________________________________________ find the probability of coming up more then one tail. solve this and i give you like
Answer» ANSWER: SORRY but I THINK that WRONG question. Please CHECK.

49.

three coins are tossed simultaneously 100 times. the following outcomes are recorded.______________________________outcome 3 tails 2tails 1tails no tails _ frequency 23 28 23 26 _____________________________ find the probability of coming up more then one tail. solve this and i give you like

Answer»

ANSWER:

SORRY but I THINK that WRONG question.

Please CHECK.

Discussion

50.	Limx->0 (8^x-4^x)/4x
Answer» ANSWER: SORRY WEN WRONG Step-by-step explanation: 8-4=2x-4x 4=2x x=2

50.

Limx->0 (8^x-4^x)/4x

Answer»

ANSWER:

SORRY WEN WRONG

Step-by-step explanation:

8-4=2x-4x

4=2x

x=2

Discussion

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