332354 + Interview Questions in Secondary School in Math

1.	Find the square root of the following numbers long division method the number is 10404
Answer» Answer: Step-by-step EXPLANATION: The answer is 102 Hope the PICTURE MIGHT help Please mark me as a brainliest

1.

Find the square root of the following numbers long division method the number is 10404

Answer»

Answer:

Step-by-step EXPLANATION:

The answer is 102

Hope the PICTURE MIGHT help

Please mark me as a brainliest

Discussion

2.	Express 97 as the sum of odd prime number
Answer» Answer: 29+31+37 is the SUM of 97

2.

Express 97 as the sum of odd prime number

Answer»

Answer:

29+31+37 is the SUM of 97

Discussion

3.	Do prime factorisaton method of 84 &98
Answer» ANSWER: SEE WHETHER is it HELPFUL to U....

3.

Do prime factorisaton method of 84 &98

Answer»

ANSWER:

SEE WHETHER is it HELPFUL to U....

Discussion

4.	Express 20 as sum of odd primes
Answer» ANSWER: 3+17=20...(3,17 are primes) 7+13=20..(7,13 are primes). hope my answer help you FOLLOW MEE ... (ㆁωㆁ*)...❤(ӦｖӦ｡).....(@^^)/~~~

4.

Express 20 as sum of odd primes

Answer»

ANSWER:

3+17=20...(3,17 are primes)

7+13=20..(7,13 are primes).

hope my answer help you FOLLOW MEE ...

(ㆁωㆁ*)...❤(ӦｖӦ｡).....(@^^)/~~~

Discussion

5.	A door with the width 4.20m has an arc as shown in the diagram.Find the radius of the arc, to the nearest cm. and find the length
Answer» Answer: PLEASE MARK brain LIST Step-by-step explanation: answer is 2.5×4

5.

A door with the width 4.20m has an arc as shown in the diagram.Find the radius of the arc, to the nearest cm. and find the length

Answer»

Answer:

PLEASE MARK brain LIST

Step-by-step explanation:

answer is 2.5×4

Discussion

6.	Find the point of intersection if X + Y = 6 and X + Y equal to 4
Answer» ANSWER: X+y=6 we have take X=0 than 0+y= 6 y =6. Step-by-step explanation: x+y=4 we have take X=0 than 0+ y= 4 y= 4

6.

Find the point of intersection if X + Y = 6 and X + Y equal to 4

Answer»

ANSWER:

X+y=6

we have take X=0

than

0+y= 6

y =6.

Step-by-step explanation:

x+y=4

we have take X=0

than

0+ y= 4

y= 4

Discussion

7.	Find the duration of exam all five bells went ata an expiry of halfan hour
Answer» Step-by-step EXPLANATION: *HALF* AN *HOUR* = 30 *FIVE* *BELLS* *DURATION* = 30/5 = 6 *PLEASE* *MARK* ME AS *BRILLIANT*

7.

Find the duration of exam all five bells went ata an expiry of halfan hour

Answer»

Step-by-step EXPLANATION:

HALF AN HOUR = 30

FIVE BELLS DURATION = 30/5 = 6

PLEASE MARK ME AS BRILLIANT

Discussion

8.	Write the integer which when multiplied by (-1) gives 0
Answer» Answer: 0 is the answer hope HELPS you

8.

Write the integer which when multiplied by (-1) gives 0

Answer»

Answer:

0 is the answer

hope HELPS you

Discussion

9.	Joseph jobs from one end a to the other end b of a straight 300m road in 2 minute 50 seconds and then turns around and jogs 100m back to point c in another 1 minute .what are joseph's average speeds and velocities in jogging (a)from a tob (b)from a to c
Answer» ANSWER: we U Glenys DIRK ISSUES dirk Ehud did she

9.

Joseph jobs from one end a to the other end b of a straight 300m road in 2 minute 50 seconds and then turns around and jogs 100m back to point c in another 1 minute .what are joseph's average speeds and velocities in jogging (a)from a tob (b)from a to c

Answer»

ANSWER:

we U Glenys DIRK ISSUES dirk Ehud did she

Discussion

10.	Find the least 5 digit number which is exactly divisible by 20 25 and 30 for class sixth standard
Answer» Answer: 30000 Step-by-step EXPLANATION: PLEASE MARK as BRAINLIEST

10.

Find the least 5 digit number which is exactly divisible by 20 25 and 30 for class sixth standard

Answer»

Answer:

30000

Step-by-step EXPLANATION:

PLEASE MARK as BRAINLIEST

Discussion

11.	Write down a pair of integer whose differnce is -12
Answer» $\huge{\mathbb{\underline{\green{ANSWER}}}}$ There are unlimited numbers those DIFFERENCE is -12. Example:- 1, 13 2, 14 3, 15 0, 12 -1, -13 -2, -14 -3, -15 HOPE THIS HELPS YOU!!!!!!!!!!!!!! PLEASE MARK IT AS BRAINLIST!!!!!!!!!!!! ❤️#STAY HOME #STAY SAFE❤️

11.

Write down a pair of integer whose differnce is -12

Answer»

$\huge{\mathbb{\underline{\green{ANSWER}}}}$

There are unlimited numbers those DIFFERENCE is -12.

Example:-

1, 13
2, 14
3, 15
0, 12
-1, -13
-2, -14
-3, -15

HOPE THIS HELPS YOU!!!!!!!!!!!!!!

PLEASE MARK IT AS BRAINLIST!!!!!!!!!!!!

❤️#STAY HOME #STAY SAFE❤️

Discussion

12.	Find 23 rational number between -4/6 and 1/6
Answer» Answer: A RATIONAL number between 1/5 and 1/6 would be 1/2(1/5 + 1/6) = 1/2([6+5]/30) = 1/2(11/30) = 11/60 Now, 1/5 < 11/60 < 1/6 A rational number between 1/5 and 11/60 is 1/2([12+11]/60) = 1/2(23/60) = 23/120 And now, a rational number between 11/60 and 1/6 is 1/2([11+10]/60) = 1/2(21/60) = 21/120 That is, 1/5 < 23/120 < 11/60 < 21/120 < 1/6 So the required rational NUMBERS are, 23/120, 11/60 and 21/120 HOPE IT HELPS :)

12.

Find 23 rational number between -4/6 and 1/6

Answer»

Answer:

A RATIONAL number between 1/5 and 1/6 would be 1/2(1/5 + 1/6) = 1/2([6+5]/30) = 1/2(11/30) = 11/60

Now, 1/5 < 11/60 < 1/6

A rational number between 1/5 and 11/60 is 1/2([12+11]/60) = 1/2(23/60) = 23/120

And now, a rational number between 11/60 and 1/6 is 1/2([11+10]/60) = 1/2(21/60) = 21/120

That is, 1/5 < 23/120 < 11/60 < 21/120 < 1/6

So the required rational NUMBERS are, 23/120, 11/60 and 21/120

HOPE IT HELPS :)

Discussion

13.	Show that sin 8θ = 8 sin θ cos θ cos 2θ cos 4θ
Answer» ANSWER: Step-by-step EXPLANATION:I don't KNOW

13.

Show that sin 8θ = 8 sin θ cos θ cos 2θ cos 4θ

Answer»

ANSWER:

Step-by-step EXPLANATION:I don't KNOW

Discussion

14.	What should be subtracted from 24×2/3 to get 39
Answer» Answer: -23 Step-by-step explanation: 24×2/3= 16 SUBTRACT 39 and 16 to GET 23 so when we subtract-23 , ie, 16-(-23) we get 16 +23 =39

14.

What should be subtracted from 24×2/3 to get 39

Answer»

Answer:

-23

Step-by-step explanation:

24×2/3= 16

SUBTRACT 39 and 16 to GET 23

so when we subtract-23 ,

ie, 16-(-23) we get

16 +23 =39

Discussion

15.	ARITHMETIC PROGRESSION21. Find the sum of first 123 even natural numbers.Q2. Find the sum of all even numbers between 1 to 350.Q3. The A.P. in which 4th term is -15 and 9th term is --30. Find the sum of first 10 numbers.
Answer» ANSWER: did did SINCE SHIV duct ECTC SERVER recycling server

15.

ARITHMETIC PROGRESSION21. Find the sum of first 123 even natural numbers.Q2. Find the sum of all even numbers between 1 to 350.Q3. The A.P. in which 4th term is -15 and 9th term is --30. Find the sum of first 10 numbers.

Answer»

ANSWER:

did did SINCE SHIV duct ECTC SERVER recycling server

Discussion

16.	I though actual division prove that the polynomial 2x3+4x2+x-34 is exacty divisible by (x-2)
Answer» Step-by-step EXPLANATION: REMAINDER is 0 so x-2 is DIVISIBLE by 2x^3+4x^2+x-34

16.

I though actual division prove that the polynomial 2x3+4x2+x-34 is exacty divisible by (x-2)

Answer»

Step-by-step EXPLANATION:

REMAINDER is 0 so x-2 is DIVISIBLE by 2x^3+4x^2+x-34

Discussion

17.	8x2-5x-21 please answer my questions with solution it is that very important
Answer» ANSWER: as you can SEE in the graph of the function, the roots of this equation are unreal, HENCE solutions does not EXIST.

17.

8x2-5x-21 please answer my questions with solution it is that very important

Answer»

ANSWER:

as you can SEE in the graph of the function, the roots of this equation are unreal, HENCE solutions does not EXIST.

Discussion

18.	Find all zeroes of polynomial p(x)=x²+(3-√2)x- 3√2,having one of its zeroes as √2
Answer» Step-by-step EXPLANATION: p(x)=x^2+(3minus ROOT 2)x MINUS 3 root 2 alpha×beta=c/a root 2×beta=minus 3 root2/1 beta=minus 3

18.

Find all zeroes of polynomial p(x)=x²+(3-√2)x- 3√2,having one of its zeroes as √2

Answer»

Step-by-step EXPLANATION:

p(x)=x^2+(3minus ROOT 2)x MINUS 3 root 2

alpha×beta=c/a

root 2×beta=minus 3 root2/1

beta=minus 3

Discussion

19.	A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters. Use 3.14 for π.
Answer» Answer: r of FLOWER BED = 20/2 = 10m r of OUTER CIRCLE = 10+4 = 14m area of outer circle = πr² = 3.14×14×14 = 615.44 m² area of flower bed = πr² = 3.14×10×10 = 314 m² area of sidewalk = 615.44-314 = 301.44m² ans. CHECK IT OUT!!

19.

A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters. Use 3.14 for π.

Answer»

Answer:

r of FLOWER BED = 20/2 = 10m

r of OUTER CIRCLE = 10+4 = 14m

area of outer circle = πr²

= 3.14×14×14

= 615.44 m²

area of flower bed = πr²

= 3.14×10×10

= 314 m²

area of sidewalk = 615.44-314

= 301.44m²

ans.

CHECK IT OUT!!

Discussion

20.	Which is the largest= 0. 62 , .47, 0.8 , 0.67, 0.53 , 0.09
Answer» 0.62 Pls MARK as BRAINLIEST ANSWER

Discussion

21.	Issa joged 2/3 of the way home from school. Then he got tired, so he walked the remaining 3,200m. How many kilometers did lssa from school to his house.
Answer» Answer: 9.6km Step-by-step explanation: To FIND the total kilometers, you have to add the 2/3 he jogged for to the 3200m so it is the 2/3 we're looking for. Since it was said that he WALKED the remaining 3200m it means that 3200m represents 1/3. So to get the total, you either do 3 x 3200m or 3200m x 2 which would give 6400m then you add that 6400m to 3200 which is 9600m. Then you have to change your answer to kilometres. 1000metres makes one KILOMETRE so 9600m/1000 would give 9.6km

21.

Issa joged 2/3 of the way home from school. Then he got tired, so he walked the remaining 3,200m. How many kilometers did lssa from school to his house.

Answer»

Answer:

9.6km

Step-by-step explanation:

To FIND the total kilometers, you have to add the 2/3 he jogged for to the 3200m so it is the 2/3 we're looking for.

Since it was said that he WALKED the remaining 3200m it means that 3200m represents 1/3.

So to get the total, you either do 3 x 3200m or 3200m x 2 which would give 6400m then you add that 6400m to 3200 which is 9600m.

Then you have to change your answer to kilometres.

1000metres makes one KILOMETRE so 9600m/1000 would give 9.6km

Discussion

22.	If a+1/a=problem and a unequal tof 0,then show that a^3+1/a^3=p (p^2-3)
Answer» ANSWER: ${\green{\underline{\underline{\huge{\mathfrak\red{your\:answer\:attached\:in\:the\:photo}}}}}}$

22.

If a+1/a=problem and a unequal tof 0,then show that a^3+1/a^3=p (p^2-3)

Answer»

ANSWER:

${\green{\underline{\underline{\huge{\mathfrak\red{your\:answer\:attached\:in\:the\:photo}}}}}}$

Discussion

23.	What is the another name of set builder form
Answer» Answer: RULE METHOD Step-by-step EXPLANATION: PLEASE MAKE a brainliest

23.

What is the another name of set builder form

Answer»

Answer:

RULE METHOD

Step-by-step EXPLANATION:

PLEASE MAKE a brainliest

Discussion

24.	In a pair of complementary angles, the measurement of the larger angle is three times that of the smaller angle. Find the measurements of the two angles .
Answer» ANSWER: ONE is 60DEGREE and other one is 240 DEGREE

24.

In a pair of complementary angles, the measurement of the larger angle is three times that of the smaller angle. Find the measurements of the two angles .

Answer»

ANSWER:

ONE is 60DEGREE and other one is 240 DEGREE

Discussion

25.	(729)^1/2 solve this
Answer» ANSWER: (729)^1/2 = √(3^6) = 3^3 =27 (answer)

25.

(729)^1/2 solve this

Answer»

ANSWER:

(729)^1/2

= √(3^6)

= 3^3

=27 (answer)

Discussion

26.	Find remainder when x^3-ax^2+4x-a is divided by(x-a) prove it
Answer» ANSWER: I THINK the REMAINDER be 3A

26.

Find remainder when x^3-ax^2+4x-a is divided by(x-a) prove it

Answer»

ANSWER:

I THINK the REMAINDER be 3A

Discussion

27.	Number name from 1000 to 1030
Answer» Answer: Tujhe number NAME nhi aate .. ok FINE Tu ik KAM Kar one two ten hi Yaad Kar le VASE hi Kar lena Step-by-step explanation:

27.

Number name from 1000 to 1030

Answer»

Answer:

Tujhe number NAME nhi aate .. ok FINE Tu ik KAM Kar one two ten hi Yaad Kar le VASE hi Kar lena

Step-by-step explanation:

Discussion

28.	What least number should be replace for * so that the number 67301*2is exactly divisible by 9?
Answer» ANSWER: it WOULD be 8 because the sum of all digits are 19 if we ADD 8 it would be 27 that is DIVISIBLE by 9

28.

What least number should be replace for * so that the number 67301*2is exactly divisible by 9?

Answer»

ANSWER:

it WOULD be 8 because the sum of all digits are 19 if we ADD 8 it would be 27 that is DIVISIBLE by 9

Discussion

29.	If you subtract 5 from 50 five times , what will be Left ?
Answer» Answer: 55 - 5 = 50 THEREFORE ,the difference between 55 and 5 is 50 OR 5 - 50(5) 5- 50 x 5 45 x 5 = -225 OR 5 - 55 = -50 Because you asked the question starting with 5 ,I have a CONFUSION for your question so I wrote all the possible ways I hope it helps U and don't forget to comment and follow me,while you are at it mark me the brainliest.....

29.

If you subtract 5 from 50 five times , what will be Left ?

Answer»

Answer:

55 - 5 = 50

THEREFORE ,the difference between 55 and 5 is 50

OR

5 - 50(5)

5- 50 x 5

45 x 5

= -225

OR

5 - 55 = -50

Because you asked the question starting with 5 ,I have a CONFUSION for your question so I wrote all the possible ways

I hope it helps U and don't forget to comment and follow me,while you are at it mark me the brainliest.....

Discussion

30.	The number of solution (s) of the linear pair x + 37y = 123 and 21x − 41y = 125
Answer» Step-by-step explanation: I think infinitely MANY... HOPE IT HELPS... PLEASE MARK BRAINLIEST...

30.

The number of solution (s) of the linear pair x + 37y = 123 and 21x − 41y = 125

Answer»

Step-by-step explanation:

I think infinitely MANY...

HOPE IT HELPS...

PLEASE MARK BRAINLIEST...

Discussion

31.	Find the value of the polynomial 2x3-13xsquare +17x+12 at the following value of x is 0
Answer» ANSWER: MARK me as a brilliant and ALSO FOLLOW me

31.

Find the value of the polynomial 2x3-13xsquare +17x+12 at the following value of x is 0

Answer»

ANSWER:

MARK me as a brilliant

and ALSO FOLLOW me

Discussion

32.	Round off 2.449gram to the nearest 1/100gram
Answer» Answer: 3.500 sorry I NEED POINTS

32.

Round off 2.449gram to the nearest 1/100gram

Answer»

Answer:

3.500

sorry I NEED POINTS

Discussion

33.	Solution of (D^3 - D) y = 0 is **
Answer»

Discussion

34.	6. If x = a cos^3theta and y = b sin^3theta, prove that (x/a)^2/3+(y/b)^2/3= 1.
Answer» $Hello$ HI here's your ANSWER

34.

6. If x = a cos^3theta and y = b sin^3theta, prove that (x/a)^2/3+(y/b)^2/3= 1.

Answer»

$Hello$

HI here's your ANSWER

Discussion

35.	Q.5 and6 is my doubts pls clear it
Answer» ANSWER: Friend ,if I will solve no 5 then you can easily do no 6. $\huge\boxed{\fcolorbox{red}{yellow}{explanation}}$ ATQ x × x = 0.1764 so, x² = 0.1764 $x = \sqrt{0.1764}$ x = 0.42 so ,the fraction is 42/100. hope it HELPS you

35.

Q.5 and6 is my doubts pls clear it

Answer»

ANSWER:

Friend ,if I will solve no 5 then you can easily do no 6.

$\huge\boxed{\fcolorbox{red}{yellow}{explanation}}$

ATQ

x × x = 0.1764

so,

x² = 0.1764

$x = \sqrt{0.1764}$

x = 0.42

so ,the fraction is 42/100.

hope it HELPS you

Discussion

36.	A notebook has 120 pages . half of them are filled by raja and half of the remaining pages are filled by rani . How many pages are left bank ? answer in explained
Answer» RAJA FILLED 120/2 = 60 REMAINING = 60 rani filled 60/2 = 30 remaining = 30

36.

A notebook has 120 pages . half of them are filled by raja and half of the remaining pages are filled by rani . How many pages are left bank ? answer in explained

Answer»

RAJA FILLED 120/2 = 60

REMAINING = 60

rani filled 60/2 = 30

remaining = 30

Discussion

37.	Where do the line pair x/a + y/b =1 and X/b + y/a = 1 interest ?
Answer» Step-by-step explanation: x/a+y/b=1 x/b+y/a=1 x(1/a-1/b)+y(1/b-1/a)=0 x=y hence P.I lies on the LINE x-y=0 here is your answer i HOPE this answer will HELP you have a nice day

37.

Where do the line pair x/a + y/b =1 and X/b + y/a = 1 interest ?

Answer»

Step-by-step explanation: x/a+y/b=1

x/b+y/a=1

x(1/a-1/b)+y(1/b-1/a)=0

x=y

hence P.I lies on the LINE x-y=0

here is your answer

i HOPE this answer will HELP you

have a nice day

Discussion

38.	Factorise t^2 -4t +1 =0
Answer» ANSWER: FACTORISE it by QUADRATIC FORMULA

38.

Factorise t^2 -4t +1 =0

Answer»

ANSWER:

FACTORISE it by QUADRATIC FORMULA

Discussion

39.	a rectangular field is 16 metre long and 10 M broad there is a path of equal with all around inside it if the area of the path is 120 square find the width of the path
Answer» Answer: please mark me as a brainliest Let width of the PATH be xm. Area of the outer rectangle = (16 + 2x) (10 + 2x) = 160 + 32X + 20X + 4x2 = 160 + 52x + 4x2 Area of the inner rectangle = 16m X 10M = 160m2 Area of the path = 160 + 52x + 4x2 - 160 = 120 or, 4x2 + 52x - 120 = 0 or, X2 + 13x - 30 = 0 or, (x + 15) (x - 2) = 0 or, x = -15, 2 As width can not be negative x = 2 m i. e. width of the path = 2 m

39.

a rectangular field is 16 metre long and 10 M broad there is a path of equal with all around inside it if the area of the path is 120 square find the width of the path

Answer»

Answer:

please mark me as a brainliest

Let width of the PATH be xm.

Area of the outer rectangle

= (16 + 2x) (10 + 2x)

= 160 + 32X + 20X + 4x2

= 160 + 52x + 4x2

Area of the inner rectangle

= 16m X 10M

= 160m2

Area of the path

= 160 + 52x + 4x2 - 160 = 120

or, 4x2 + 52x - 120 = 0

or, X2 + 13x - 30 = 0

or, (x + 15) (x - 2) = 0

or, x = -15, 2

As width can not be negative x = 2 m

i. e. width of the path = 2 m

Discussion

40.	State and prove interior angle and theorem for triangleplease please answer me fast
Answer» Step-by-step explanation: Consider a ∆ABC, as shown in the figure below. To prove the above property of triangles, draw a LINE PQ←→ parallel to the side BC of the given triangle. Proof for Angle SUM Property of a Triangle Since PQ is a STRAIGHT line, it can be concluded that: ∠PAB + ∠BAC + ∠QAC = 180° ………(1) SincePQ\|\|BC and AB, AC are transversals, Therefore, ∠QAC = ∠ACB (a pair of alternate angle) Also, ∠PAB = ∠CBA (a pair of alternate angle) Substituting the value of ∠QAC and∠PAB in equation (1), ∠ACB + ∠BAC + ∠CBA= 180° Thus, the sum of the interior angles of a triangle is 180°.

40.

State and prove interior angle and theorem for triangleplease please answer me fast

Answer»

Step-by-step explanation:

Consider a ∆ABC, as shown in the figure below. To prove the above property of triangles, draw a LINE PQ←→ parallel to the side BC of the given triangle.

Proof for Angle SUM Property of a Triangle

Since PQ is a STRAIGHT line, it can be concluded that:

∠PAB + ∠BAC + ∠QAC = 180° ………(1)

SincePQ||BC and AB, AC are transversals,

Therefore, ∠QAC = ∠ACB (a pair of alternate angle)

Also, ∠PAB = ∠CBA (a pair of alternate angle)

Substituting the value of ∠QAC and∠PAB in equation (1),

∠ACB + ∠BAC + ∠CBA= 180°

Thus, the sum of the interior angles of a triangle is 180°.

Discussion

41.	How to exit 13 no and go to home
Answer» Here are some STEPS:- He will go to 9th patient. Comes back to 13 as there is no CORONA patient. Then, 14,15,16,12,11,10,6,5,1,2,3,7,8,4. Hence rescued. Mark brainliest.

41.

How to exit 13 no and go to home

Answer»

Here are some STEPS:-

He will go to 9th patient.
Comes back to 13 as there is no CORONA patient.
Then, 14,15,16,12,11,10,6,5,1,2,3,7,8,4.

Hence rescued.

Mark brainliest.

Discussion

42.	What can you say cot=1/tan?is it defined?why?
Answer» Answer: yes Step-by-step explanation: cot = adj/OPP we KNOW that tan=sin/COS sin = opp /hyp and cos =adj/hyp => tan =opp/hyp//adj /hyp =opp/adj => tan =opp/adj RECIPROCAL 1/tan=adj/opp=cot hence proved mark as brianlist

42.

What can you say cot=1/tan?is it defined?why?

Answer»

Answer:

yes

Step-by-step explanation:

cot = adj/OPP

we KNOW that tan=sin/COS

sin = opp /hyp and cos =adj/hyp

=> tan =opp/hyp//adj /hyp =opp/adj

=> tan =opp/adj

RECIPROCAL

1/tan=adj/opp=cot

hence proved

mark as brianlist

Discussion

43.	A big fish tank can hold 36 litres of water when filled to the brim . It is 3/8 filled . If 1/2 of the water is removed, how much more water must be added in order to fill the brim .
Answer» ANSWER: you should CHECK this -1/8×36 L THINK it is CORRECT

43.

A big fish tank can hold 36 litres of water when filled to the brim . It is 3/8 filled . If 1/2 of the water is removed, how much more water must be added in order to fill the brim .

Answer»

ANSWER:

you should CHECK this -1/8×36 L THINK it is CORRECT

Discussion

44.	Please answer fast !!
Answer» Question :– ▪︎ If ${ \bold{ \: \: \sqrt{3} = 1.732 \: \: }}$ , then find the value of ${ \bold{ \: \: \sqrt{ \dfrac{2 - \sqrt{3} }{2 + \sqrt{3} } } = ? \: \: }} \\$ ANSWER :– $\\ \longrightarrow { \red{ \boxed{ \bold{ \: \: \sqrt{ \dfrac{2 - \sqrt{3} }{2 + \sqrt{3} } } = \: \: \pm \: (0.268) \: \: }}}} \\$ EXPLANATION :– GIVEN :– $\\ { \bold{ \: \implies \sqrt{3} = 1.732 \: \: }} \\$ TO FIND :– $\\ { \bold{ \: \: \implies \sqrt{ \dfrac{2 - \sqrt{3} }{2 + \sqrt{3} } } = ? \: \: }} \\$ SOLUTION :– $\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \: \: \: \sqrt{ \dfrac{2 - \sqrt{3} }{2 + \sqrt{3} } } \: \: }} \\$ • Now RATIONALIZATION – $\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \: \: \: \sqrt{ \dfrac{2 - \sqrt{3} }{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } } \: \: }} \\$ $\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \: \: \: \sqrt{ \dfrac{(2 - \sqrt{3} )^{2} }{ {(2)}^{2} - ( \sqrt{3})^{2} } } \: \: }} \\$ $\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \: \: \: \sqrt{ \dfrac{(2 - \sqrt{3} )^{2} }{4 - 3}} \: \: }} \\$ $\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \: \: \: \sqrt{ {(2 - \sqrt{3} )^{2} }} \: \: }} \\$ $\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \pm (2 - \sqrt{3}) }} \\$ • Now put the value of ${ \bold{ \: \sqrt{3} \: \: - }}$ $\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \pm \: (2 - 1.732) }} \\$ $\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \pm \: (0.268) }} \\$ HENCE , ${ \bold{ \: \: \sqrt{ \dfrac{2 - \sqrt{3} }{2 + \sqrt{3} } } = \: \: \pm \: (0.268) \: \: }} \\$ $\\ \bigstar \: \: \large { \red{ \bold{ \underline{used \: \: formula} } : - }} \\$ $\\ { \blue{ \bold{(1) \: \: \: (a - b)(a + b) = {a}^{2} - {b}^{2} }}} \\$ $\\ { \blue{ \bold{(2) \: \: \: {(a -b)}^{2} = {a}^{2} + {b}^{2} - 2ab }}} \\$

44.

Please answer fast !!

Answer»

Question :–

▪︎ If ${ \bold{ \: \: \sqrt{3} = 1.732 \: \: }}$ , then find the value of ${ \bold{ \: \: \sqrt{ \dfrac{2 - \sqrt{3} }{2 + \sqrt{3} } } = ? \: \: }} \\$

ANSWER :–

$\\ \longrightarrow { \red{ \boxed{ \bold{ \: \: \sqrt{ \dfrac{2 - \sqrt{3} }{2 + \sqrt{3} } } = \: \: \pm \: (0.268) \: \: }}}} \\$

EXPLANATION :–

GIVEN :–

$\\ { \bold{ \: \implies \sqrt{3} = 1.732 \: \: }} \\$

TO FIND :–

$\\ { \bold{ \: \: \implies \sqrt{ \dfrac{2 - \sqrt{3} }{2 + \sqrt{3} } } = ? \: \: }} \\$

SOLUTION :–

$\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \: \: \: \sqrt{ \dfrac{2 - \sqrt{3} }{2 + \sqrt{3} } } \: \: }} \\$

• Now RATIONALIZATION –

$\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \: \: \: \sqrt{ \dfrac{2 - \sqrt{3} }{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } } \: \: }} \\$

$\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \: \: \: \sqrt{ \dfrac{(2 - \sqrt{3} )^{2} }{ {(2)}^{2} - ( \sqrt{3})^{2} } } \: \: }} \\$

$\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \: \: \: \sqrt{ \dfrac{(2 - \sqrt{3} )^{2} }{4 - 3}} \: \: }} \\$

$\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \: \: \: \sqrt{ {(2 - \sqrt{3} )^{2} }} \: \: }} \\$

$\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \pm (2 - \sqrt{3}) }} \\$

• Now put the value of ${ \bold{ \: \sqrt{3} \: \: - }}$

$\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \pm \: (2 - 1.732) }} \\$

$\\ { \bold{ \: \: \: \: \: \: \: \: = \: \: \pm \: (0.268) }} \\$

HENCE , ${ \bold{ \: \: \sqrt{ \dfrac{2 - \sqrt{3} }{2 + \sqrt{3} } } = \: \: \pm \: (0.268) \: \: }} \\$

$\\ \bigstar \: \: \large { \red{ \bold{ \underline{used \: \: formula} } : - }} \\$

$\\ { \blue{ \bold{(1) \: \: \: (a - b)(a + b) = {a}^{2} - {b}^{2} }}} \\$

$\\ { \blue{ \bold{(2) \: \: \: {(a -b)}^{2} = {a}^{2} + {b}^{2} - 2ab }}} \\$

Discussion

45.	Guess the cube roots of following perfect cubes:. 729,512,10648,79507,18193
Answer» Answer: 729,512,10648,79507 are the PERFECT cubes HOPE IT HELPS PLEASE MARK ME AS THE BRAINLIEST

45.

Guess the cube roots of following perfect cubes:. 729,512,10648,79507,18193

Answer»

Answer:

729,512,10648,79507 are the PERFECT cubes

HOPE IT HELPS

PLEASE MARK ME AS THE BRAINLIEST

Discussion

46.	Evaluate the following. . please answer this question
Answer» Step-by-step EXPLANATION: do it by SQUARE ROOTS......

46.

Evaluate the following. . please answer this question

Answer»

Step-by-step EXPLANATION:

do it by SQUARE ROOTS......

Discussion

47.	एरिया आफ ट्रेपीजियम
Answer» (SUM of PARALLEL SIDES) × DISTANCE b/w them ×1/2 (समानांतर भुजाओं का जोड़)×समानांतर भुजाओं के बीच की दूरी ×1/2

47.

एरिया आफ ट्रेपीजियम

Answer»

(SUM of PARALLEL SIDES) × DISTANCE b/w them ×1/2

(समानांतर भुजाओं का जोड़)×समानांतर भुजाओं के बीच की दूरी ×1/2

Discussion

48.	a motar boat goes down the strem 30km and again returns to the starting point in a total time of 4h 30 min if the speed of stream is 5km then find the speed of motar boat in still
Answer» Step-by-step explanation: Speed of motor boat in still water is 15 km/h. Step-by-step explanation: The speed of the boat in still water is 15 km/hr. Total time taken by the motorboat = 4 hrs 30 minutes = 4 ½ hr = (9/2) hrs The distance travelled by boat during downstream = 30 km The speed of the stream = 5 km/hr Let the speed of the boat in still water be “x” km/hr. So, The speed of the boat downstream = (x + 5) km/hr The speed of the boat upstream = (x - 5) km/hr and, Time taken to travel downstream = 30/(x+5) Time taken taken to travel upstream = 30/(x-5) Therefore, according to the question, we can write the EQ. as, [30/(x+5)] + [30/(x-5)] = 9/2 ⇒ 30 [(x-5+x+5)/{(x-5)(x+5)}] = 9/2 ⇒ 30 [(2x) / (x² - 25)] = 9/2 ⇒ 10 [(2x) / (x² - 25)] = 3/2 ⇒ 40X = 3x² – 75 ⇒ 3x² – 40x – 75 = 0 ⇒ 3x² – 45x + 5x – 75 = 0 ⇒ 3x(x-15) + 5(x-15) = 0 ⇒ (x-15)(3x+5) = 0 ⇒ x = 15 or -5/3 Neglecting the NEGATIVE value ⇒ x = 15 km/hr ← speed of the boat in still water ----------------------------------------------------------------------------------------- *hope* it *HELPS* U ✔

48.

a motar boat goes down the strem 30km and again returns to the starting point in a total time of 4h 30 min if the speed of stream is 5km then find the speed of motar boat in still

Answer»

Step-by-step explanation:

Speed of motor boat in still water is 15 km/h.

Step-by-step explanation:

The speed of the boat in still water is 15 km/hr.

Total time taken by the motorboat = 4 hrs 30 minutes = 4 ½ hr = (9/2) hrs

The distance travelled by boat during downstream = 30 km

The speed of the stream = 5 km/hr

Let the speed of the boat in still water be “x” km/hr.

So,

The speed of the boat downstream = (x + 5) km/hr

The speed of the boat upstream = (x - 5) km/hr

and,

Time taken to travel downstream = 30/(x+5)

Time taken taken to travel upstream = 30/(x-5)

Therefore, according to the question, we can write the EQ. as,

[30/(x+5)] + [30/(x-5)] = 9/2

⇒ 30 [(x-5+x+5)/{(x-5)(x+5)}] = 9/2

⇒ 30 [(2x) / (x² - 25)] = 9/2

⇒ 10 [(2x) / (x² - 25)] = 3/2

⇒ 40X = 3x² – 75

⇒ 3x² – 40x – 75 = 0

⇒ 3x² – 45x + 5x – 75 = 0

⇒ 3x(x-15) + 5(x-15) = 0

⇒ (x-15)(3x+5) = 0

⇒ x = 15 or -5/3

Neglecting the NEGATIVE value

⇒ x = 15 km/hr ← speed of the boat in still water

-----------------------------------------------------------------------------------------

hope it HELPS U ✔

Discussion

49.	12. (a - b + c)2 + (b-c + a)2 + 2(a - b + c)(b-c + a)
Answer» Answer: 4a^2 Step-by-step EXPLANATION: We know a^2 + B^2 + 2ab = ( a + b )^2 we will APPLY the same here. ⇒ ( a - b + c )^2 + ( b - c + a )^2 + 2( a - b + c )( b - c + a ) ⇒ [ ( a - b + c ) + ( b - c + a ) ]^2 ⇒ [ a - b + c + b - c + a ]^2 ⇒ [ a + a - b + b + c - c ]^2 ⇒ [ 2A ]^2 ⇒ 4a^2

49.

12. (a - b + c)2 + (b-c + a)2 + 2(a - b + c)(b-c + a)

Answer»

Answer:

4a^2

Step-by-step EXPLANATION:

We know a^2 + B^2 + 2ab = ( a + b )^2

we will APPLY the same here.

⇒ ( a - b + c )^2 + ( b - c + a )^2 + 2( a - b + c )( b - c + a )

⇒ [ ( a - b + c ) + ( b - c + a ) ]^2

⇒ [ a - b + c + b - c + a ]^2

⇒ [ a + a - b + b + c - c ]^2

⇒ [ 2A ]^2

⇒ 4a^2

Discussion

50.	If pq=p+q+p/q , then the value of 8X2 is
Answer» Answer: *82=8+2+8/2 =10+4 =14**

50.

If pq=p+q+p/q , then the value of 8X2 is

Answer»

Answer:

8*2=8+2+8/2

=10+4

=14

Discussion

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