332354 + Interview Questions in Secondary School in Math

1.	Hey tell me (X+8) (x+10) is in the expanded form...??
Answer» ANSWER: (X+4)(X+2)(X+5)(X+2

1.

Hey tell me (X+8) (x+10) is in the expanded form...??

Answer»

(X+4)(X+2)(X+5)(X+2

2.	Supplement of 171degrees is
Answer» 19)₹;6);6;(&,?587?4&”) GOALS

Discussion

3.	How( \|a\|+\| b\|)^2 = (\|a-b\|)^2 ?
Answer» ANSWER: if you LIKE my answer then mark me as brilliant. no explanation is given below Step-by-step explanation: if if we put value of a and b same that is only one. so you will get the answer. explanation is given below. \|\| let a = 0 and b=0 put value of a and b in the LHS of the equation. ( \|a\| + \|b\| )^2 = LHS ( 0 +0) ^2 = 0 ^2 = 0 Now ,RHS (\|a-b\|)^2 put the value of a and b in the RHS of equation (0-0)^2= (0)^2 = 0 = LHS hence proved LHS can equal to to RHS when we put the value of a and b zero

3.

How( |a|+| b|)^2 = (|a-b|)^2 ?

Answer»

ANSWER:

if you LIKE my answer then mark me as brilliant.

no explanation is given below

Step-by-step explanation:

if if we put value of a and b same that is only one. so you will get the answer. explanation is given below. ||

let a = 0 and

b=0

put value of a and b in the LHS of the equation.

( |a| + |b| )^2 = LHS

( 0 +0) ^2 = 0 ^2

= 0

Now ,RHS

(|a-b|)^2

put the value of a and b in the RHS of equation

(0-0)^2= (0)^2

= 0 = LHS

hence proved LHS can equal to to RHS when we put the value of a and b zero

Discussion

4.	If the letters of the word arranged as in a dictionary . Find the rank of the word Mother
Answer» ANSWER (i) Arrange all the alphabets of WORD MOTHER in alphabetical order like [E, H, M, O, R, T] Now, strike off the first letter M from [E, H, M, O, R, T] Then count the no. of letter be fore M, and it is EQUAL to 2, which 5! Now, net word O, Then, count the no. of letter before O and it is equal to 2, which is COEFFICIENT of 4! Next letter T → 3! Next letter H → 2! and nett letter E → 1! So, Rank of the word is =2(5!)+2(4!)+3(3!)+1(2!)+0(1!)+1 =240+28+18+2+1 =309 word MOTHER is 309. my friend hope it will HELP u

4.

If the letters of the word arranged as in a dictionary . Find the rank of the word Mother

Answer»

ANSWER

(i) Arrange all the alphabets of WORD MOTHER in alphabetical order like [E, H, M, O, R, T]

Now, strike off the first letter M from [E, H, M, O, R, T]

Then count the no. of letter be fore M, and it is EQUAL to 2, which 5!

Now, net word O,

Then, count the no. of letter before O and it is equal to 2, which is COEFFICIENT of 4!

Next letter T → 3!

Next letter H → 2!

and nett letter E → 1!

So, Rank of the word is

=2(5!)+2(4!)+3(3!)+1(2!)+0(1!)+1

=240+28+18+2+1

=309

word MOTHER is 309.

my friend

hope it will HELP u

Discussion

5.	Six lakh seventy thousand fifty eight
Answer» ANSWER: what this Step-by-step EXPLANATION: MARK me as vriliant

5.

Six lakh seventy thousand fifty eight

Answer»

ANSWER:

what this

Step-by-step EXPLANATION:

MARK me as vriliant

Discussion

6.	233x=125 solve for the value of x
Answer» x=125/233 is the ANSWER of this QUESTION

Discussion

7.	In a party of 45 people , each likes tea or coffee or both . 35 people like tea and 20 people like coffee . Find the number of people who1. like both tea and coffee.2.do not like tea.3.do not like coffee
Answer» Step-by-step EXPLANATION: LIKE both TEA and COFFEE

7.

In a party of 45 people , each likes tea or coffee or both . 35 people like tea and 20 people like coffee . Find the number of people who1. like both tea and coffee.2.do not like tea.3.do not like coffee

Answer»

Step-by-step EXPLANATION:

LIKE both TEA and COFFEE

Discussion

8.	One-fifth of a number minus 4 gives 3. Find which of the following is the number. *1 point1) 202) 73) 154) 35
Answer» ANSWER: 4/35 is the answer of the QUESTION.

8.

One-fifth of a number minus 4 gives 3. Find which of the following is the number. *1 point1) 202) 73) 154) 35

Answer»

ANSWER:

4/35 is the answer of the QUESTION.

Discussion

9.	The standard deviation for the set of numbers 1,4,5,7,8, is 2.45 nearly. If 10 is added toeach number then new standard deviation
Answer» Given :- The standard deviation for the set of numbers 1,4,5,7,8, is 2.45 nearly. If 10 is added TOEACH number then new standard deviation ? Solution :- → given set of numbers = 1, 4, 5 , 7 , 8 = Total 5 . → sum of numbers = 1 + 4 + 5 + 7 + 8 = 25 So, → MEAN of given numbers = (sum of numbers) / (Total number) → mean = (25 / 5) = 5 . Now, given that, 10 is added in each number . So, → New set of numbers = 1+10, 4+10, 5+10 , 7+10 , 8+10 = 11, 14, 15, 17 , 18 = Total 5 . → sum of new numbers = 11 + 14 + 15 + 17 + 18 = 75 So, → mean of new numbers = (sum of numbers) / (Total number) → mean = (75 / 5) = 15 . As, we can see now, The mean for the original set of numbers is 5 and for the new set of numbers is 15.. The change in the mean is 10 , which is equal to number we added in each number. Now, we know that, In statistical terms the set is affected by the number which affects the mean. Here, when we add the set of numbers by 10, the mean of the set ALSO gets affected by an increase of 10. Therefore, we can conclude that, Their will be no change in the standard deviation for the set of numbers . Hence, → standard deviation of new numbers = Original standard deviation ≈ 2.45 . (Ans.) Learn more :- What is the standard deviation of the number of recoveries among 48 patients when the probability of recovering is 0.75?... brainly.in/question/22779625

9.

The standard deviation for the set of numbers 1,4,5,7,8, is 2.45 nearly. If 10 is added toeach number then new standard deviation

Answer»

Given :- The standard deviation for the set of numbers 1,4,5,7,8, is 2.45 nearly. If 10 is added TOEACH number then new standard deviation ?

Solution :-

→ given set of numbers = 1, 4, 5 , 7 , 8 = Total 5 .

→ sum of numbers = 1 + 4 + 5 + 7 + 8 = 25

So,

→ MEAN of given numbers = (sum of numbers) / (Total number)

→ mean = (25 / 5) = 5 .

Now, given that, 10 is added in each number .

So,

→ New set of numbers = 1+10, 4+10, 5+10 , 7+10 , 8+10 = 11, 14, 15, 17 , 18 = Total 5 .

→ sum of new numbers = 11 + 14 + 15 + 17 + 18 = 75

So,

→ mean of new numbers = (sum of numbers) / (Total number)

→ mean = (75 / 5) = 15 .

As, we can see now, The mean for the original set of numbers is 5 and for the new set of numbers is 15..

The change in the mean is 10 , which is equal to number we added in each number.

Now, we know that,

In statistical terms the set is affected by the number which affects the mean.

Here, when we add the set of numbers by 10, the mean of the set ALSO gets affected by an increase of 10.

Therefore, we can conclude that,

Their will be no change in the standard deviation for the set of numbers .

Hence,

→ standard deviation of new numbers = Original standard deviation ≈ 2.45 . (Ans.)

Learn more :-

What is the standard deviation of the number of recoveries among 48 patients when the

probability of recovering is 0.75?...

brainly.in/question/22779625

Discussion

10.	The volume of a cube is 0.216 cubic metre find side of cube
Answer» ANSWER: Step-by-step EXPLANATION: LET a be the side of cube Volume of cube=a^3 Given a^3=0.216=216/1000 a=(216/1000)^1/3 a=6/10 a=0.6m Please mark as brainliest and THANK if it HELPS..

10.

The volume of a cube is 0.216 cubic metre find side of cube

Answer»

ANSWER:

Step-by-step EXPLANATION:

LET a be the side of cube

Volume of cube=a^3

Given a^3=0.216=216/1000

a=(216/1000)^1/3

a=6/10

a=0.6m

Please mark as brainliest and THANK if it HELPS..

Discussion

11.	When p(x) = x^3 - ax^2 + x is divided by (x - a)
Answer» Answer: HOPE u understand LIKE it FOLLOW me

11.

When p(x) = x^3 - ax^2 + x is divided by (x - a)

Answer»

Answer:

HOPE u understand

LIKE it

FOLLOW me

Discussion

12.	Find out the rarional number lying between -1/3 and 1/2
Answer» Answer: 1,-1/2 hopefully it HELP MARK as BRAINLIEST

12.

Find out the rarional number lying between -1/3 and 1/2

Answer»

Answer:

1,-1/2

hopefully it HELP MARK as BRAINLIEST

Discussion

13.	Cbrt of 0.000512 please explain me
Answer» Answer: 0.08 0.08 * 0.08 * 0.08 = 0.000512 hope it was HELPFUL

13.

Cbrt of 0.000512 please explain me

Answer»

Answer:

0.08

0.08 * 0.08 * 0.08 = 0.000512

hope it was HELPFUL

Discussion

14.	Factorise x minus y square - 9
Answer» ANSWER: PAGAL KHANE JA gfhfydududyidig

14.

Factorise x minus y square - 9

Answer»

ANSWER:

PAGAL KHANE JA gfhfydududyidig

Discussion

15.	Find the values of the following
Answer» Step-by-step EXPLANATION: cube ROOT of 1728=12 cube root of 125 = 5 cube root of 1000=10 cube root of 64=4 (12/5)*(10/4) after CUTTING the answer will be 6

15.

Find the values of the following

Answer»

Step-by-step EXPLANATION:

cube ROOT of 1728=12

cube root of 125 = 5

cube root of 1000=10

cube root of 64=4

(12/5)*(10/4)

after CUTTING the answer will be 6

Discussion

16.	We no16) (-36)+(-9(f) 0+ (-12)1. Evaluate each of the following:(a) (-30)+10 (b50+(-5)(d)/49) + (49) (e) 13+ [(-2) + 1](g) (-31) + [(-30) + (-1)](h) [(-36) - 12) = 3 () [(-6)+5)],= [(-2) + 1]b)
Answer» ANSWER: 16)(-45) f=12 Step-by-step EXPLANATION: Answer is this

16.

We no16) (-36)+(-9(f) 0+ (-12)1. Evaluate each of the following:(a) (-30)+10 (b50+(-5)(d)/49) + (49) (e) 13+ [(-2) + 1](g) (-31) + [(-30) + (-1)](h) [(-36) - 12) = 3 () [(-6)+5)],= [(-2) + 1]b)

Answer»

ANSWER:

16)(-45) f=12

Step-by-step EXPLANATION:

Answer is this

Discussion

17.	The value of this problem?
Answer» GIVEN:- $\rm{\sqrt{\dfrac{1.21\times{0.9}}{1.1\times{0.11}}}}$ To Find:- The Value of given EQUATION. How To Solve? As here it is given that whole equation is under SQUARE, FIRST we will multiply it and bring it in simple form. After bringing it is simplest form we will square it. Now, $\implies\rm{\sqrt{\dfrac{1.21\times{0.9}}{1.1\times{0.11}}}}$ $\implies\rm{\sqrt{\dfrac{1.089}{0.121}}}$ $\implies\rm{\sqrt{\dfrac{\cancel{1.089}}{\cancel{0.121}}}}$ $\implies\rm{\sqrt{9}}$ $\implies\rm{ <klux>3</klux>}$ . Hence, The value of $\rm{\sqrt{\dfrac{1.21\times{0.9}}{1.1\times{0.11}}}}$ is 3.

17.

The value of this problem?

Answer»

GIVEN:-

$\rm{\sqrt{\dfrac{1.21\times{0.9}}{1.1\times{0.11}}}}$

To Find:-

The Value of given EQUATION.

How To Solve?

As here it is given that whole equation is under SQUARE, FIRST we will multiply it and bring it in simple form.

After bringing it is simplest form we will square it.

Now,

$\implies\rm{\sqrt{\dfrac{1.21\times{0.9}}{1.1\times{0.11}}}}$

$\implies\rm{\sqrt{\dfrac{1.089}{0.121}}}$

$\implies\rm{\sqrt{\dfrac{\cancel{1.089}}{\cancel{0.121}}}}$

$\implies\rm{\sqrt{9}}$

$\implies\rm{ <klux>3</klux>}$ .

Hence, The value of $\rm{\sqrt{\dfrac{1.21\times{0.9}}{1.1\times{0.11}}}}$ is 3.

Discussion

18.	What number added to 89.376 gives 1000 ?
Answer» Answer: 910.624 Step-by-step explanation: LET the number be X so, 89.376 + x = 1000 x = 1000 - 89.376 hence x = 910.624

18.

What number added to 89.376 gives 1000 ?

Answer»

Answer:

910.624

Step-by-step explanation:

LET the number be X

so, 89.376 + x = 1000

x = 1000 - 89.376

hence x = 910.624

Discussion

19.	In a triangle ABC AB=3cm, BC=4cm, CA=4cm, then Semiparameters5
Answer» So, we have a Right Angled Triangle ABC, where AB = 3 cm, BC = 4 cm and AC = 5 cm (Angle B = 90 Degrees) and we WANT to find the length of BD, which is the perpendicular drawn from B on AC meeting AC at D. There are several ways of going about it. Using similar TRIANGLES Using Area of Triangle ABC in 2 ways Using Area of Triangle ABC and Areas of Triangles ABD and BDC With similar Triangles: Triangle ABC is similar to Triangle ADB (Since corresponding angles are same). Therefore BC / AC = DB / AB, so we have 4 / 5 = DB / 3 Thus DB (i. e. BD) = 43 / 5 = 2.4 Using Area of triangle ABC in 2 ways: Area of Triangle ABC = 1/2 Base * Height = 1/2 * 4 * 3 = 6 Area of Triangle ABC is also equal to 1/2 * AC * BD = 1/2 * 5 * BD But we ALREADY know that it is 6, and equating (1/2 * 5)*BD with 6, we get BD = 12/5 = 2.4 Using Area of Triangle ABC and Areas of Triangles ABD and BDC: This is pretty similar to 2 above, albeit a bit complex and this is being left as an exercise. Thus, the required answer is 2.4

19.

In a triangle ABC AB=3cm, BC=4cm, CA=4cm, then Semiparameters5

Answer»

So, we have a Right Angled Triangle ABC, where AB = 3 cm, BC = 4 cm and AC = 5 cm (Angle B = 90 Degrees) and we WANT to find the length of BD, which is the perpendicular drawn from B on AC meeting AC at D.

There are several ways of going about it.

Using similar TRIANGLES

Using Area of Triangle ABC in 2 ways

Using Area of Triangle ABC and Areas of Triangles ABD and BDC

With similar Triangles:

Triangle ABC is similar to Triangle ADB (Since corresponding angles are same).

Therefore BC / AC = DB / AB, so we have

4 / 5 = DB / 3

Thus DB (i. e. BD) = 4*3 / 5 = 2.4

Using Area of triangle ABC in 2 ways:

Area of Triangle ABC = 1/2 * Base * Height

= 1/2 * 4 * 3

= 6

Area of Triangle ABC is also equal to

1/2 * AC * BD

= 1/2 * 5 * BD

But we ALREADY know that it is 6, and equating (1/2 * 5)*BD with 6, we get BD = 12/5 = 2.4

Using Area of Triangle ABC and Areas of Triangles ABD and BDC:

This is pretty similar to 2 above, albeit a bit complex and this is being left as an exercise.

Thus, the required answer is 2.4

Discussion

20.	Prove that the sides opposite to equal angles of a triangle are equal
Answer» Answer: Step-by-step explanation: From the given information: ∠ B A C = ∠ B C A And: A B = B C To prove that A B = B C , we will need to construct an ANGLE bisector B D to ∠ A B C . THUS: ∠ A B D = ∠ C B D by construction. We have two triangles, △ A B D and △ C B D . For the two triangles, the side B D is common. Therefore, using the AAS postulate for congruence, we can say that △ A B D ≅ △ B C D SINCE ∠ B A C ≅ ∠ B C A , ∠ A B D ≅ ∠ C B D and B D ≅ B D . Therefore, by the corresponding sides of congruent triangles, we can as well conclude that B A = B C

20.

Prove that the sides opposite to equal angles of a triangle are equal

Answer»

Answer:

Step-by-step explanation:

From the given information:

∠

B

A

C

=

∠

B

C

A

And:

A

B

=

B

C

To prove that

A

B

=

B

C

, we will need to construct an ANGLE bisector

B

D

to

∠

A

B

C

. THUS:

∠

A

B

D

=

∠

C

B

D

by construction.

We have two triangles,

△

A

B

D

and

△

C

B

D

. For the two triangles, the side

B

D

is common.

Therefore, using the AAS postulate for congruence, we can say that

△

A

B

D

≅

△

B

C

D

SINCE

∠

B

A

C

≅

∠

B

C

A

,

∠

A

B

D

≅

∠

C

B

D

and

B

D

≅

B

D

.

Therefore, by the corresponding sides of congruent triangles, we can as well conclude that

B

A

=

B

C

Discussion

21.	If 2 power x+1 = 3 power x-1 then x=
Answer» Answer: x + 1 = 3 x = 3 - 1 :. x = 2 Step-by-step explanation: x - 1 = 3 x = 3 + 1 :.x = 4 HUMBLE REQUEST: If you think that my answer is BETTER than others please MAKE me a brainliest so that I can help you more faster ☺️☺️

21.

If 2 power x+1 = 3 power x-1 then x=

Answer»

Answer:

x + 1 = 3

x = 3 - 1

:. x = 2

Step-by-step explanation:

x - 1 = 3

x = 3 + 1

:.x = 4

HUMBLE REQUEST:

If you think that my answer is BETTER than others please MAKE me a brainliest so that I can help you more faster ☺️☺️

Discussion

22.	1. List any four symmetrical objects from your home or school.
Answer» ANSWER: LUNCH BOX and pencil box PALM of our hand sits of our school Thank you

22.

1. List any four symmetrical objects from your home or school.

Answer»

ANSWER:

LUNCH BOX and pencil box

PALM of our hand

sits of our school

Thank you

Discussion

23.	(2 underroot 3 - 5 underroot 2 and ( underroot 3+2underoot2)
Answer» Answer: (2✓3 - 5✓2) (✓3 + 2✓2) 2✓3✓3 roots get cancelled 23=6 2✓32✓2 4✓32=4✓6 -5✓2✓3= -5✓6 -5✓25✓2 roots are cancelled -52=-10 finally addition 6+4✓6+(-5✓6)+(-10) 6 + 4✓6 - 5✓6 -10 -4 -5✓6 +4✓6 ANSWER MARK* ME THE BRAINLIEST IF YOU LIKE MY ANSWER

23.

(2 underroot 3 - 5 underroot 2 and ( underroot 3+2underoot2)

Answer»

Answer:

(2✓3 - 5✓2) (✓3 + 2✓2)

2✓3*✓3

roots get cancelled

2*3=6

2✓3*2✓2

4✓3*2=4✓6

-5✓2*✓3=

-5✓6

-5✓2*5✓2

roots are cancelled

-5*2=-10

finally addition

6+4✓6+(-5✓6)+(-10)

6 + 4✓6 - 5✓6 -10

-4 -5✓6 +4✓6

ANSWER

MARK ME THE BRAINLIEST IF YOU LIKE MY ANSWER

Discussion

24.	Find the roots of quadratic equation by the factorisation method 2/5x^2-x-3/5=0
Answer» Step-by-step EXPLANATION: °°°Mark me as brainliest°°°

24.

Find the roots of quadratic equation by the factorisation method 2/5x^2-x-3/5=0

Answer»

Step-by-step EXPLANATION:

°°°Mark me as brainliest°°°

Discussion

25.	n a bag, there are 150 balls. If 10% are red balls, 20% are green balls and 40% are yellow balls and 30% are blue balls, what is the probability of picking either a red ball or a blue ball?
Answer» RED BALL's probability=10/100100 =10 Blue ball=30/100100 =30

25.

n a bag, there are 150 balls. If 10% are red balls, 20% are green balls and 40% are yellow balls and 30% are blue balls, what is the probability of picking either a red ball or a blue ball?

Answer»

RED BALL's probability=10/100*100

=10

Blue ball=30/100*100

=30

Discussion

26.	Represent thesenumber on the samenumber line (1) 3/4 (2) -7/4
Answer» Step-by-step EXPLANATION: I HOPE this ANSWER MAY HELP you

26.

Represent thesenumber on the samenumber line (1) 3/4 (2) -7/4

Answer»

Step-by-step EXPLANATION:

I HOPE this ANSWER MAY HELP you

Discussion

27.	Simplify root 5+root 3 / root80 + root 48 - root 45 - root 27
Answer» Answer: 1 Step-by-step EXPLANATION: SOLVED by just SIMPLIFICATION of the TERMS

27.

Simplify root 5+root 3 / root80 + root 48 - root 45 - root 27

Answer»

Answer:

1

Step-by-step EXPLANATION:

SOLVED by just SIMPLIFICATION of the TERMS

Discussion

28.	Find the length of three medians of the triangle whose vertices are (2,-4) , (6,-2) and (-4,2)
Answer» ANSWER: (5,7) Step-by-step EXPLANATION: I HOPE it will HELP U

28.

Find the length of three medians of the triangle whose vertices are (2,-4) , (6,-2) and (-4,2)

Answer»

ANSWER:

(5,7)

Step-by-step EXPLANATION:

I HOPE it will HELP U

Discussion

29.	find the value of k if x is equals to 3 and Y is equals to 2 is a solution of the equation 4x + came minus 1 y=16
Answer» ANSWER: SORRY I didn't KNOW the answer PLEASE FOLLOW me

29.

find the value of k if x is equals to 3 and Y is equals to 2 is a solution of the equation 4x + came minus 1 y=16

Answer»

ANSWER:

SORRY I didn't KNOW the answer PLEASE FOLLOW me

Discussion

30.	3x+2y=5 and 6x+4y=10 ifa1/a2 than these simultaneous equations have
Answer» $\huge\boxed{\underline{\underline{\green{Solution}}}}$ $\displaystyle \: \longmapsto \: \:$ FORMULA TO BE IMPLEMENTED A PAIR of Straight Lines $\displaystyle \: a_1x+b_1y+c_1=0 \: and \: \: a_2x+b_2y+c_2=0$ have infinite NUMBER of solutions if $\displaystyle \: \: \frac{a_1}{a_2} = \frac{b_1}{b_2}=\frac{c_1}{c_2}$ $\displaystyle \: \longmapsto \: \:$ CALCULATION : GIVEN pair of linear EQUATIONS $3x +2y = 5 \: \: and \: \: 6x + 4y =10$ Comparing with $\displaystyle \: a_1x+b_1y+c_1=0 \: and \: \: a_2x+b_2y+c_2=0$ We get $\displaystyle \: a_1 = 3 \: , \: b_1 = 2 \: , c_1= 5 \: and \: \: a_2 = 6 \: , \: b_2 = 4\: , \: \: c_2= 10$ $\displaystyle \: \frac{a_1}{a_2} = \frac{3}{6} = \frac{1}{2}$ $\displaystyle \: \frac{b_1}{b_2} = \frac{2}{4} = \frac{1}{2}$ $\displaystyle \: \frac{c_1}{c_2} = \frac{5}{10} = \frac{1}{2}$ So $\displaystyle \: \: \frac{a_1}{a_2} = \frac{b_1}{b_2}=\frac{c_1}{c_2}$ Hence given SYSTEM of equations have infinite number of solutions

30.

3x+2y=5 and 6x+4y=10 ifa1/a2 than these simultaneous equations have

Answer»

$\huge\boxed{\underline{\underline{\green{Solution}}}}$

$\displaystyle \: \longmapsto \: \:$ FORMULA TO BE IMPLEMENTED

A PAIR of Straight Lines

$\displaystyle \: a_1x+b_1y+c_1=0 \: and \: \: a_2x+b_2y+c_2=0$

have infinite NUMBER of solutions if $\displaystyle \: \: \frac{a_1}{a_2} = \frac{b_1}{b_2}=\frac{c_1}{c_2}$

$\displaystyle \: \longmapsto \: \:$ CALCULATION :

GIVEN pair of linear EQUATIONS

$3x +2y = 5 \: \: and \: \: 6x + 4y =10$

Comparing with

$\displaystyle \: a_1x+b_1y+c_1=0 \: and \: \: a_2x+b_2y+c_2=0$

We get

$\displaystyle \: a_1 = 3 \: , \: b_1 = 2 \: , c_1= 5 \: and \: \: a_2 = 6 \: , \: b_2 = 4\: , \: \: c_2= 10$

$\displaystyle \: \frac{a_1}{a_2} = \frac{3}{6} = \frac{1}{2}$

$\displaystyle \: \frac{b_1}{b_2} = \frac{2}{4} = \frac{1}{2}$

$\displaystyle \: \frac{c_1}{c_2} = \frac{5}{10} = \frac{1}{2}$

So $\displaystyle \: \: \frac{a_1}{a_2} = \frac{b_1}{b_2}=\frac{c_1}{c_2}$

Hence given SYSTEM of equations have infinite number of solutions

Discussion

31.	3. Find the centre of a circle passing through the points (6,-6), (3,-7) and (3, 3).
Answer» Answer: 1 ST one is 0 Step-by-step explanation: the circle RADIUS is 6

31.

3. Find the centre of a circle passing through the points (6,-6), (3,-7) and (3, 3).

Answer»

Answer:

1 ST one is 0

Step-by-step explanation:

the circle RADIUS is 6

Discussion

32.	Respresent the following number on a number line (a) +8 (b) _10
Answer» Step-by-step explanation: HOPE u understood PLZ make my answer BRANLIEST......

32.

Respresent the following number on a number line (a) +8 (b) _10

Answer»

Step-by-step explanation:

HOPE u understood PLZ make my answer BRANLIEST......

Discussion

33.	In angle ABC ANGLE B =90
Answer» Step-by-step EXPLANATION: this ANSWER may use FULL to u

33.

In angle ABC ANGLE B =90

Answer»

Step-by-step EXPLANATION:

this ANSWER may use FULL to u

Discussion

34.	V11Prove that V2 is an irrational number. Hence, show that 3 - V2 is an irrationanumber.
Answer» Step-by-step explanation: ANSWER: let us ASSUME that √2 is a rational number ∴we find co prime a and b(≠0) such that √2=a/b ⇒b√2=a squaring on both sides and rearranging the term, we get 2b²=a² ∴2 divides a² and 2 divides a also (∵theorem) let a=2c for some integer c ∴2b²=4c² ⇒b²=2c² ∴2 divides b² and 2 divides b also (∵theorem) ∴a and b have atleast 2 as their common factor but this contradicts the FACT that a and b are co prime . this contradiction has arisen because of our INCORRECT assumption that √2 is rational so we can conclude that √2 is irrational . (ii)let us assume that 3/√2 is rational then we find co prime a and b(≠0) such that 3/√2=a/b ∴3b=√2a ⇒3b/a=√2 ∴√2 is rational (∵ a and b are integers and ∴3b/a is also rational) but this contradicts the fact that √2 is irrational so we can conclude that 3/√2 is irrational i hope this is helpful for you so please FOLLOW me and mark me as brainlists

34.

V11Prove that V2 is an irrational number. Hence, show that 3 - V2 is an irrationanumber.

Answer»

Step-by-step explanation:

ANSWER:

let us ASSUME that √2 is a rational number

∴we find co prime a and b(≠0) such that √2=a/b

⇒b√2=a

squaring on both sides and rearranging the term, we get

2b²=a²

∴2 divides a² and

2 divides a also (∵theorem)

let a=2c for some integer c

∴2b²=4c²

⇒b²=2c²

∴2 divides b² and

2 divides b also (∵theorem)

∴a and b have atleast 2 as their common factor

but this contradicts the FACT that a and b are co prime .

this contradiction has arisen because of our INCORRECT assumption that √2 is rational

so we can conclude that √2 is irrational .

(ii)let us assume that 3/√2 is rational

then we find co prime a and b(≠0) such that 3/√2=a/b

∴3b=√2a

⇒3b/a=√2

∴√2 is rational (∵ a and b are integers and ∴3b/a is also rational)

but this contradicts the fact that √2 is irrational

so we can conclude that 3/√2 is irrational

i hope this is helpful for you so please FOLLOW me and mark me as brainlists

Discussion

35.	Please answer this question 45+45=45 (prove it) please..........
Answer» ANSWER: this STATEMENT is false 45+45=90 not 45

35.

Please answer this question 45+45=45 (prove it) please..........

Answer»

ANSWER:

this STATEMENT is false

45+45=90 not 45

Discussion

36.	How many natural number lie between 52 and 62 ? ( a) 9 (b) 10 (c) 11 (d) 12
Answer» Answer: A)9. As,the numbers between 52 and 62 are 53,54,55,56,57,58,59,60,61. HOPE IT HELPS YOU.. PLEASE MARK me as BRAINLIEST..

36.

How many natural number lie between 52 and 62 ? ( a) 9 (b) 10 (c) 11 (d) 12

Answer»

Answer:

A)9.

As,the numbers between 52 and 62 are 53,54,55,56,57,58,59,60,61.

HOPE IT HELPS YOU..

PLEASE MARK me as BRAINLIEST..

Discussion

37.	Name of first lesson of state board telugu launguage class 10
Answer» the FIRST LESSON name of TELUGU SUBJECT is Mathru bumi. means our MOTHER earth..

37.

Name of first lesson of state board telugu launguage class 10

Answer»

the FIRST LESSON name of TELUGU SUBJECT is Mathru bumi.

means our MOTHER earth..

Discussion

38.	Answer the question with explaination
Answer» Answer: 1234.×2788÷28+27-22=u will GET the answer thank u Step-by-step EXPLANATION: MARK me BRAINLEIST

38.

Answer the question with explaination

Answer»

Answer:

1234.×2788÷28+27-22=u will GET the answer

thank u

Step-by-step EXPLANATION:

MARK me BRAINLEIST

Discussion

39.	4.(1) 0 (2) 1 (3) 225+26+27+-------- 100=?(1) 4750 (2) 5050 (3)5350
Answer» Answer: 5050. is the CORRECT answer. HOPE THIS HELPS YOU. PLEASE MARK IT BRAINLIEST

39.

4.(1) 0 (2) 1 (3) 225+26+27+-------- 100=?(1) 4750 (2) 5050 (3)5350

Answer»

Answer:

5050. is the CORRECT answer.

HOPE THIS HELPS YOU.

PLEASE MARK IT BRAINLIEST

Discussion

40.	Pls answer this question.l
Answer» ANSWER: C is the CORRECT answer HOPE IT HELPS YOU

40.

Pls answer this question.l

Answer»

ANSWER:

C is the CORRECT answer

HOPE IT HELPS YOU

Discussion

41.	रमेश बाजार गयाl (अपूर्ण वर्तमान काल
Answer» रमेश बाज़ार गया। PLS MARK as BRAINLIEST

41.

रमेश बाजार गयाl (अपूर्ण वर्तमान काल

Answer»

रमेश बाज़ार गया।

PLS MARK as BRAINLIEST

Discussion

42.	My last question is find 5 rational number between - 3/5 and 5 / 3
Answer» Answer: You can actually FIND MANY more. Step-by-step EXPLANATION: If I help you, Mark me as brainliest.

42.

My last question is find 5 rational number between - 3/5 and 5 / 3

Answer»

Answer:

You can actually FIND MANY more.

Step-by-step EXPLANATION:

If I help you, Mark me as brainliest.

Discussion

43.	4. What should be multiplied to thefollowing numbers to make them aperfect cube?a) 2,200 b) 1,340 c) 3,378
Answer» Answer: 2200 MULTIPLY by 3378 Step-by-step EXPLANATION:

43.

4. What should be multiplied to thefollowing numbers to make them aperfect cube?a) 2,200 b) 1,340 c) 3,378

Answer»

Answer:

2200 MULTIPLY by 3378

Step-by-step EXPLANATION:

Discussion

44.	(3) 2 7 hours(4) 37 hours83. X can do of a work in 10 days. Y can do 40% of the work in 4 days and Zcan doof the work in 13 days. Who will complete of work first?3(1) X(2) Y(3) Z(4) X & Z both84. A can do a piece of work in 7 days of 9 hours each where as B can do the samework in 6 days of 7 hours each. How long will they take to do the worktogether, working 8hours a day(1) 2 days(2) 3 days (3) 3 4 days (4) 4 days2 585. When 5 percent is lost in grinding wheat, a country has to import 20 million bagsto make up of the loss. But when only 2 percent is lost, it has to import 15million bags. What is the quantity of wheat which grows in the country inmillion bags?2
Answer» when 5percent is lost in grinding wheat a country has to import 20million bags

Discussion

45.	A car driver observed that a bus was 40m ahead of the car and after 20 secondsthe car was 60 m ahead of the bus. If thespeed of the bus is 38 kmph, then findthe speed of the car (in kmph).402418
Answer» Step-by-step EXPLANATION: HENCE the RELATIVE SPEED i.e. speed of CAR is 12km/h

45.

A car driver observed that a bus was 40m ahead of the car and after 20 secondsthe car was 60 m ahead of the bus. If thespeed of the bus is 38 kmph, then findthe speed of the car (in kmph).402418

Answer»

Step-by-step EXPLANATION:

HENCE the RELATIVE SPEED i.e. speed of CAR is 12km/h

Discussion

46.	The energy of photon is 3×10^-19joule it's momentum
Answer» Answer: gsyeegd Step-by-step EXPLANATION: tfydhrcevsvshxjjSada hdCNN Hansen utensil RACISM NATURAL natural Jack

46.

The energy of photon is 3×10^-19joule it's momentum

Answer»

Answer:

gsyeegd

Step-by-step EXPLANATION:

tfydhrcevsvshxjjSada hdCNN Hansen utensil RACISM NATURAL natural Jack

Discussion

47.	Calculate the pressure exerted by a girl if her mass is 70 kg and area of her foot 1 is 149 cm2 and foot 2 is 151 cm2
Answer» Answer: 2.286 N/m^2 Step-by-step explanation: In your question it is already mentioned that the mass of the gali 70 kg so we only need to multiply the acceleration due to GRAVITY and we will get the force.then the force will be divided by the area which is already mentioned and we will get the answer. and ALSO I need to mention that the formula of pressure is force divided by area. and its SI unit is Newton per metre square or PASCAL. Hopefully this helped you. For any issues you can drop a comment or rate 5 stars if accurate.

47.

Calculate the pressure exerted by a girl if her mass is 70 kg and area of her foot 1 is 149 cm2 and foot 2 is 151 cm2

Answer»

Answer:

2.286 N/m^2

Step-by-step explanation:

In your question it is already mentioned that the mass of the gali 70 kg so we only need to multiply the acceleration due to GRAVITY and we will get the force.then the force will be divided by the area which is already mentioned and we will get the answer. and ALSO I need to mention that the formula of pressure is force divided by area. and its SI unit is Newton per metre square or PASCAL. Hopefully this helped you. For any issues you can drop a comment or rate 5 stars if accurate.

Discussion

48.	Compute ( -2/3) + (5/4) = ______.
Answer» ANSWER: Step-by-step EXPLANATION: -2/3+5/4 LCM=12 -8/12+15/12=7/12

48.

Compute ( -2/3) + (5/4) = ______.

Answer»

ANSWER:

Step-by-step EXPLANATION:

-2/3+5/4 LCM=12

-8/12+15/12=7/12

Discussion

49.	Integration of tan x/Sec²x
Answer» ANSWER: ∫tanxsec2(X)dx=tan2(x)2+C. Step-by-step explanation: PLEASE MARK me as brainleast

49.

Integration of tan x/Sec²x

Answer»

ANSWER:

∫tanxsec2(X)dx=tan2(x)2+C.

Step-by-step explanation:

PLEASE MARK me as brainleast

Discussion

50.	(b) 8 x 53 x (125)5. Pind the product, using suitable properties:(a) 26 X (-48) + (-48) X (-36)(c) 15 x(-25) x (-4) (-10)ir *625 (-35) + (-625) x 65(g) (-17) (-29)(d) (-41) x 102(f) 7 x (50 - 2)(h) (-57) x (-19) + 57
Answer» Answer: Here, we will use the following RULES, (+)×(−)=(−) (−)×(+)=(−) (−)×(−)=(+) (+)×(+)=(+) (a)26×(−48)+(−48)×(−36)=−48(26−36)=−48×−10=480 (b)8×53×(−125)=(−125×8)×53=−1000×53=−53000 (C)15×(−25)×(−4)×(−10)=100×(−150)=−15000 (d)(−41)×102=(−40−1)×(100+2)=−4000−80−100−2=−4182 (E)625×(−35)+(−625)×65=625×(−35−65)=625×(−100)=62500 (F)7×(50−2)=750−14=736 (g)(−17)×(−29)=(−20+3)×(−30+1)=600−20−90+3=493 (h)(−57)×(−19)+57=−57(−19−1)=−57×(−20)=1140

50.

(b) 8 x 53 x (125)5. Pind the product, using suitable properties:(a) 26 X (-48) + (-48) X (-36)(c) 15 x(-25) x (-4) (-10)ir *625 (-35) + (-625) x 65(g) (-17) (-29)(d) (-41) x 102(f) 7 x (50 - 2)(h) (-57) x (-19) + 57

Answer»

Answer:

Here, we will use the following RULES,

(+)×(−)=(−)

(−)×(+)=(−)

(−)×(−)=(+)

(+)×(+)=(+)

(a)26×(−48)+(−48)×(−36)=−48(26−36)=−48×−10=480

(b)8×53×(−125)=(−125×8)×53=−1000×53=−53000

(C)15×(−25)×(−4)×(−10)=100×(−150)=−15000

(d)(−41)×102=(−40−1)×(100+2)=−4000−80−100−2=−4182

(E)625×(−35)+(−625)×65=625×(−35−65)=625×(−100)=62500

(F)7×(50−2)=750−14=736

(g)(−17)×(−29)=(−20+3)×(−30+1)=600−20−90+3=493

(h)(−57)×(−19)+57=−57(−19−1)=−57×(−20)=1140

Discussion

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