332354 + Interview Questions in Secondary School in Math

4.	In triangle ABC, the measure of ∠B is 90°,BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and Fcorrespond to vertices A, B, and C, respectively, and each side of triangle DEF is 13 the length of the corresponding side of triangle ABC. What is the value of sinF?
Answer» *SOLUTION ☺️* *The* *third* *side* of ∆*ABC* is AB. *using PYTHAGORAS* *Theorem, it's* *length is 12. =) 12^2 +16^2= 20^2 =) Angle* F is *congruent to angle* C *and* so *the* *sin(angle* F) = *sin* (*ANGLEC) =) Sin* (*angle* C) = *opposite/Hypotenuse* =) AB/AC =) 12/20 =) 3/5 =) 0.6 *HOPE it* *helps* ✔️

4.

In triangle ABC, the measure of ∠B is 90°,BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and Fcorrespond to vertices A, B, and C, respectively, and each side of triangle DEF is 13 the length of the corresponding side of triangle ABC. What is the value of sinF?

Answer»

SOLUTION ☺️

The third side of ∆ABC is AB.

using PYTHAGORAS Theorem, it's length is 12.

=) 12^2 +16^2= 20^2

=) Angle F is congruent to angle C and so the sin(angle F) = sin (ANGLEC)

=) Sin (angle C) = opposite/Hypotenuse

=) AB/AC

=) 12/20

=) 3/5

=) 0.6

HOPE it helps ✔️

Discussion

5.	Evaluate using number line(1)4-(-2)(2)2 more than -7
Answer» HI mate 1) 4-(-2) = 6 and 2. more than -7 Is-5. I hope it help you

5.

Evaluate using number line(1)4-(-2)(2)2 more than -7

Answer»

HI mate

1) 4-(-2) = 6

and 2. more than -7 Is-5.

I hope it help you

Discussion

6.	Tan 30° + tan 120' + Sin 150+ Cos 210° + tan 330°=
Answer» HOPE it be correct answer =8

6.

Tan 30° + tan 120' + Sin 150+ Cos 210° + tan 330°=

Answer»

HOPE it be correct

answer =8

Discussion

7.	Which is never a factor of any number
Answer» Step-by-step EXPLANATION: ACCORDING to me 0(zero) is not a FACTOR of any NUMBER

7.

Which is never a factor of any number

Answer»

Step-by-step EXPLANATION:

ACCORDING to me 0(zero) is not a FACTOR of any NUMBER

Discussion

8.	Find a quadratic polynomial whose zeros are 3+√2and 3-√2
Answer» Answer: Step-by-step EXPLANATION: USE x²+SUM of zeroes +PRODUCTS of ZERO. Sum =-b/a and product =c/a

8.

Find a quadratic polynomial whose zeros are 3+√2and 3-√2

Answer»

Answer:

Step-by-step EXPLANATION:

USE x²+SUM of zeroes +PRODUCTS of ZERO. Sum =-b/a and product =c/a

Discussion

9.	Express standard form -36/84&-1301/1953
Answer» ANSWER: -3/7, -1301/1953 these are the RATIONAL NUMBERS in STANDARD FORM

9.

Express standard form -36/84&-1301/1953

Answer»

ANSWER:

-3/7, -1301/1953 these are the RATIONAL NUMBERS in STANDARD FORM

Discussion

10.	Find the number of sidesof a regular polygon , the sum of whoseinterior angles is 2700°
Answer» Answer: Step-by-step EXPLANATION: ANGLE sum of interior angles of a polygon = (n-2) × 180 2700 = 180n -360 2700 +360 = 180n 3060 = 180n n = 3060/180 n = 17 So no of SIDES = 17 Mark as brainliest

10.

Find the number of sidesof a regular polygon , the sum of whoseinterior angles is 2700°

Answer»

Answer:

Step-by-step EXPLANATION:

ANGLE sum of interior angles of a polygon = (n-2) × 180

2700 = 180n -360

2700 +360 = 180n

3060 = 180n

n = 3060/180

n = 17

So no of SIDES = 17

Mark as brainliest

Discussion

11.	It is given that 3a + 2b=5c, find the value of 27a cube + 8b cube - 125c cube if ABC=0
Answer» Step-by-step explanation: 27a³ + 8b³ - 125c³= (3A)³+ (2b)³ + (-5C)³ 3a + 2b = 5c 3a + 2b - 5c = 0 Hence, (3a)³ + (2b)^3 + (-5c)³ = 3 (3a) (2b)(-5c) = -90 ABC = -90 X 0 = 0.ans...

11.

It is given that 3a + 2b=5c, find the value of 27a cube + 8b cube - 125c cube if ABC=0

Answer»

Step-by-step explanation:

27a³ + 8b³ - 125c³= (3A)³+ (2b)³ + (-5C)³

3a + 2b = 5c

3a + 2b - 5c = 0

Hence, (3a)³ + (2b)^3 + (-5c)³ = 3 (3a) (2b)(-5c)

= -90 ABC = -90 X 0 = 0.ans...

Discussion

12.	Find the square root of the following number upto 2 places of decimal ( i )427
Answer» Its ANS is 20.66 is the SQUARE ROOT of 427

Discussion

13.	The multiplicative inverse of minus 4 upon 5 multiply minus 2 upon 3
Answer» Answer: no Step-by-step EXPLANATION: because it is not possible MINUS 5 UPON canont be cut

13.

The multiplicative inverse of minus 4 upon 5 multiply minus 2 upon 3

Answer»

Answer:

no

Step-by-step EXPLANATION:

because it is not possible MINUS 5 UPON canont be cut

Discussion

14.	General solution of sin x minus cos x is equal to 1 is
Answer» ANSWER: $x = 2n\pi + \frac{\pi}{2} \\ where \: n \: is \: any \: integer \: number$ Find the ATTACHEMENT Step-by-step EXPLANATION: Hope this helps you

14.

General solution of sin x minus cos x is equal to 1 is

Answer»

ANSWER:

$x = 2n\pi + \frac{\pi}{2} \\ where \: n \: is \: any \: integer \: number$

Find the ATTACHEMENT

Step-by-step EXPLANATION:

Hope this helps you

Discussion

15.	Difficult questions on linear equations in one variable
Answer» 1. 5x-2/3 = 7/2 2. 2x sq. = 128 3. 4x/3 + 20/7 = 41 4. (3t - 2)/2 = (4T - 4)/8 Hope, it will help you.....

15.

Difficult questions on linear equations in one variable

Answer»

1. 5x-2/3 = 7/2

2. 2x sq. = 128

3. 4x/3 + 20/7 = 41

4. (3t - 2)/2 = (4T - 4)/8

Hope, it will help you.....

Discussion

16.	Find the least number to be added to 9598 to make it a perfect square
Answer» Step-by-step EXPLANATION: NUMBER is 9598 So,. 100square is just after to number 9598............ then,REQUIRED number is 10000-9598=402

16.

Find the least number to be added to 9598 to make it a perfect square

Answer»

Step-by-step EXPLANATION:

NUMBER is 9598

So,. 100square is just after to number 9598............

then,REQUIRED number is

10000-9598=402

Discussion

17.	Find out the number that comes next and complete the series: 4, 2, 5, 1, 6, ?
Answer» Answer: 0 Step-by-step explanation: 4-2=2 2+3=5 5-4=1 1+5=6 6-6=0

17.

Find out the number that comes next and complete the series: 4, 2, 5, 1, 6, ?

Answer»

Answer:

0

Step-by-step explanation:

4-2=2

2+3=5

5-4=1

1+5=6

6-6=0

Discussion

18.	Rationalize the denominator of :- 3/√3-√2+√5
Answer» Step-by-step EXPLANATION: HOPE it HELPS you in your LEARNING PROCESS.

18.

Rationalize the denominator of :- 3/√3-√2+√5

Answer»

Step-by-step EXPLANATION:

HOPE it HELPS you in your LEARNING PROCESS.

Discussion

19.	HiI am Gurjeet..back with my HHW question.(20 points question)Make summary,interview 50 people in and around your localaty.Find their monthly income.On this basis of this find the no. of people below poverty line.Make a frequency table and histogram for the same.Also find mean,median and mode of the collected data and interpret the result.Note:You can take random names and income of peoples.Please help na.^.^
Answer» Finally, After interviewing 50 PEOPLE, we observed- 10 People ==> Rs 30, 000 15 People ==> Rs 2, 000 5 people ==> Rs 7, 000 18 people ==> Rs 10, 000 2 people ===> Rs 40, 000 Total people = 50 ________________ Frequency table and HISTOGRAM you can clearly see in the attachment. ______________________________ Mean => (30,000 + 2,000+ 7,000+10,000+40,000)/5 = 89000/5 = 17, 800 Median => ( middle term ) So, arrange the salaries in ascending order ==> 2,000, 7,000, 10,000, 30,000, 40,000 so, the middle term is 10,000. Hence, median is 10, 000 Mode ==> VALUE which occurs the most. We can clearly see that Rs 10, 000 is the salary of 18 people. So, mode is 10, 000. ____________________________ Our observation says that 15 people got Rs 2,000 . Hence, they are not able to afford their basic needs of life. Therefore, 15 People in the locality are below poverty line. _________________________ Thanks

19.

HiI am Gurjeet..back with my HHW question.(20 points question)Make summary,interview 50 people in and around your localaty.Find their monthly income.On this basis of this find the no. of people below poverty line.Make a frequency table and histogram for the same.Also find mean,median and mode of the collected data and interpret the result.Note:You can take random names and income of peoples.Please help na.^.^

Answer»

Finally,

After interviewing 50 PEOPLE, we observed-

10 People ==> Rs 30, 000

15 People ==> Rs 2, 000

5 people ==> Rs 7, 000

18 people ==> Rs 10, 000

2 people ===> Rs 40, 000

Total people = 50

________________

Frequency table and HISTOGRAM you can clearly see in the attachment.

______________________________

Mean => (30,000 + 2,000+ 7,000+10,000+40,000)/5

= 89000/5

= 17, 800

Median => ( middle term )

So,

arrange the salaries in ascending order

==> 2,000, 7,000, 10,000, 30,000, 40,000

so, the middle term is 10,000.

Hence, median is 10, 000

Mode ==> VALUE which occurs the most.

We can clearly see that Rs 10, 000 is the salary of 18 people. So, mode is 10, 000.

____________________________

Our observation says that 15 people got Rs 2,000 . Hence, they are not able to afford their basic needs of life.

Therefore,

15 People in the locality are below poverty line.

_________________________

Thanks

Discussion

20.	Full solution neededDont spamUrgently needed
Answer» Answer: Option D Solved using FACTORISATION. FIND the ATTACHEMENT

20.

Full solution neededDont spamUrgently needed

Answer»

Answer:

Option D

Solved using FACTORISATION. FIND the ATTACHEMENT

Discussion

21.	If 3x−y=12, what is the value of 8x2y?
Answer» -y=12-3x y=3x-12 8x2y:: 8x2(3x-12) 16X(3x-12) ${48x}^{2} + 192x$ this will be the final answer as there is no VALUE of X and y to substitute in the GIVEN equation $hope \: \: it \: helps$ $pls \: mark \: brainliest$

Discussion

22.	10% of 190 Rs......
Answer» Step-by-step explanation: 10/100×190 =19 RS KEEP SMILING

22.

10% of 190 Rs......

Answer»

Step-by-step explanation:

10/100×190

=19 RS

KEEP SMILING

Discussion

23.	Sin A/1+sin A=1-cos A/sin A
Answer» ANSWER: behhehfgeug3hy4f4hb3j3jejehb4vrvrvodididjdjjcjcc

23.

Sin A/1+sin A=1-cos A/sin A

Answer»

ANSWER:

behhehfgeug3hy4f4hb3j3jejehb4vrvrvodididjdjjcjcc

Discussion

24.	Five rational numbers between -3/2 and 5/3
Answer» Answer: -31/20, -32/20, -33/20, -34/20, -35/20.................. Step-by-step explanation: multiply 10 with both numerator and denominator in both the NUMBERS which results in:- -30/20 and 50/30 within these numbers U can CHOOSE any 5 numbers and WRITE

24.

Five rational numbers between -3/2 and 5/3

Answer»

Answer:

-31/20, -32/20, -33/20, -34/20, -35/20..................

Step-by-step explanation:

multiply 10 with both numerator and denominator in both the NUMBERS which results in:-

-30/20 and 50/30

within these numbers U can CHOOSE any 5 numbers and WRITE

Discussion

25.	Rohit father is 27 years older than him and after 5 years their age ratio is 2:3 find their age
Answer» $\bf{\large{\underline{\underline{Answer:-}}}}$ The AGES of Rohit and Rohit's FATHER are 49 years and 76 years respectively. $\bf{\large{\underline{\underline{Explanation:-}}}}$ Given :- Rohit father is 27 years older than him. After 5 years their age ratio is 2 : 3 To find :- Their ages Solution :- LET the age of Rohit be x Rohit's father age = 27 years older than Rohit = (x + 27) After 5 years :- Rohit's age = (x + 5) Rohit's father age = [(x + 27) + 5] = (x + 27 + 5) = (x + 32) Ratio of ages of Rohit and Rohit's father after 5 years = 2 : 3 According to the question :- Equation formed :- $\boxed{\tt{ \dfrac{x + 5}{x + 32} = \dfrac{2}{3} }}$ By Cross multiplication $\tt{\implies{(x + 5)3 = 2(x + 32)}}$ $\tt{\implies{3x + 15 = 2x + 64}}$ $\tt{\implies{3x - 2x = 64 - 15}}$ $\tt{\implies{x = 49}}$ Rohit's age = x = 49 years Rohit's Father age = (x + 32) = (49 + 27) = 76 years $\bf{\large{\underline{\underline{Verification:-}}}}$ To know whether the answer is correct or not substitute ages of Rohit and Rohit's father age in the equation that is formed to solve. $\tt{ \dfrac{49 + 5}{76 + 5} = \dfrac{2}{3} }$ $\tt{\implies{ \dfrac{54}{81} = \dfrac{2}{3} }}$ $\tt{\implies{\dfrac{54 \div 27}{81 \div 27} = \dfrac{2}{3} }}$ $\tt{\implies{ \dfrac{2}{3} = \dfrac{2}{3} }}$ Therefore the ages of Rohit and Rohit's father are 49 years and 76 years respectively.

25.

Rohit father is 27 years older than him and after 5 years their age ratio is 2:3 find their age

Answer»

$\bf{\large{\underline{\underline{Answer:-}}}}$

The AGES of Rohit and Rohit's FATHER are 49 years and 76 years respectively.

$\bf{\large{\underline{\underline{Explanation:-}}}}$

Given :- Rohit father is 27 years older than him. After 5 years their age ratio is 2 : 3

To find :- Their ages

Solution :-

LET the age of Rohit be x

Rohit's father age = 27 years older than Rohit = (x + 27)

After 5 years :-

Rohit's age = (x + 5)

Rohit's father age = [(x + 27) + 5] = (x + 27 + 5) = (x + 32)

Ratio of ages of Rohit and Rohit's father after 5 years = 2 : 3

According to the question :-

Equation formed :-

$\boxed{\tt{ \dfrac{x + 5}{x + 32} = \dfrac{2}{3} }}$

By Cross multiplication

$\tt{\implies{(x + 5)3 = 2(x + 32)}}$

$\tt{\implies{3x + 15 = 2x + 64}}$

$\tt{\implies{3x - 2x = 64 - 15}}$

$\tt{\implies{x = 49}}$

Rohit's age = x = 49 years

Rohit's Father age = (x + 32) = (49 + 27) = 76 years

$\bf{\large{\underline{\underline{Verification:-}}}}$

To know whether the answer is correct or not substitute ages of Rohit and Rohit's father age in the equation that is formed to solve.

$\tt{ \dfrac{49 + 5}{76 + 5} = \dfrac{2}{3} }$

$\tt{\implies{ \dfrac{54}{81} = \dfrac{2}{3} }}$

$\tt{\implies{\dfrac{54 \div 27}{81 \div 27} = \dfrac{2}{3} }}$

$\tt{\implies{ \dfrac{2}{3} = \dfrac{2}{3} }}$

Therefore the ages of Rohit and Rohit's father are 49 years and 76 years respectively.

Discussion

26.	If a-b=11,ab=-2,find a^3-b^3
Answer» I HOPE It will HELP you.

26.

If a-b=11,ab=-2,find a^3-b^3

Answer»

I HOPE It will HELP you.

Discussion

27.	Find the area of circle whose perimeter is 352m?
Answer» HII its tom85 perimeter of circle=2πr 2πr=352 r=176/π area of circle =πr^2 area of circle= 176π176/π^2=9864.968153 __________/\_________☺️ hope it MAY HELPS you DUDE

27.

Find the area of circle whose perimeter is 352m?

Answer»

HII its tom85

perimeter of circle=2*π*r

2πr=352

r=176/π

area of circle =πr^2

area of circle= 176*π*176/π^2=9864.968153

__________/\_________☺️

hope it MAY HELPS you DUDE

Discussion

28.	X + 3 by 7 - 2 x minus 5 by 3 is equal to 3 x minus 5 by 5 minus 25 solve this equation and check your answer
Answer» GIVEN : The EQUATION is $\frac{<klux>X</klux> + 3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$ solve this equation and check your answer TO FIND : The VALUE of x in the given equation. SOLUTION : Given equation is $\frac{x+3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$ Solving the given equation $\frac{x+3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$ as below : $\frac{x+3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$ $\frac{3(x+3)-7(2x-5)}{21}=\frac{3x-5-125}{5}$ By USING the distributive properties : i) a(x+y)=ax+ay ii) a(x-y)=ax-ay $\frac{3x+9-14x+35}{21}=\frac{3x-130}{5}$ $\frac{44-11x}{21}=\frac{3x-130}{5}$ 5(44-11x)=21(3x-130) By using the distributive property : a(x-y)=ax-ay 220-55x=63x-2730 Adding the like terms, -55x-63x=-2730-220 -118x=-2950 118x=2950 $x=\frac{2950}{118}$ x=25 ∴ the value of x in the given equation $\frac{x+3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$ is 25

28.

X + 3 by 7 - 2 x minus 5 by 3 is equal to 3 x minus 5 by 5 minus 25 solve this equation and check your answer

Answer»

GIVEN :

The EQUATION is $\frac{<klux>X</klux> + 3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$ solve this equation and check your answer

TO FIND :

The VALUE of x in the given equation.

SOLUTION :

Given equation is $\frac{x+3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$

Solving the given equation $\frac{x+3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$ as below :

$\frac{x+3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$

$\frac{3(x+3)-7(2x-5)}{21}=\frac{3x-5-125}{5}$

By USING the distributive properties :

i) a(x+y)=ax+ay

ii) a(x-y)=ax-ay

$\frac{3x+9-14x+35}{21}=\frac{3x-130}{5}$

$\frac{44-11x}{21}=\frac{3x-130}{5}$

5(44-11x)=21(3x-130)

By using the distributive property :

a(x-y)=ax-ay

220-55x=63x-2730

Adding the like terms,

-55x-63x=-2730-220

-118x=-2950

118x=2950

$x=\frac{2950}{118}$

x=25

∴ the value of x in the given equation $\frac{x+3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$ is 25

Discussion

29.	If three pieces of a table cloth cost Rs.112.5 then the number of pieces of table cloth available for Rs.487.5 is
Answer» Answer: Step-by-step explanation: APPLYING unitary method For RS 112.5 , 3 pieces of table cloth. For Rs 1 ---- 3/112.5 pieces For Rs 487.5 ----- 3/112.5 × 487.5 pieces = 1462.5/112.5 =13 table cloth Hope it is clear

29.

If three pieces of a table cloth cost Rs.112.5 then the number of pieces of table cloth available for Rs.487.5 is

Answer»

Answer:

Step-by-step explanation:

APPLYING unitary method

For RS 112.5 , 3 pieces of table cloth.

For Rs 1 ---- 3/112.5 pieces

For Rs 487.5 ----- 3/112.5 × 487.5 pieces

= 1462.5/112.5

=13 table cloth

Hope it is clear

Discussion

30.	which values of P and Q, will the following pair of linear equations have infinitely many solutions for4 X + 5 Y = 2 ,( 2 p+ 7q) X + (p+8q) Y =2q-p+1
Answer» Answer: p = -1 and q = 2 Step-by-step explanation: 4x + 5Y - 2 = 0 (2p+7Q)x + (p+8q)y - (2q-p+1) = 0 given eq. is infinite solution so, a1/a2 = b1/b2 = c1/c2 4/(2p+7q) = 5/(p+7q) = -2/[-(2q-p+1)] on COMPARING a1/a2 = c1/c2 4/(2p + 7q) = 2/(2q - p + 1) 4(2q - p +1) = 2(2p + 7q) 8q - 4p + 4 = 4p + 14q 4p + 14q - 8q + 4p = 4 8p + 6q = 4 --------------------(1) now, b1/b2 = c1/c2 5/(p + 7q) = 2/(2q - p + 1) 5(2q - p + 1) = 2(p + 8q) 10q - 5q + 5 = 2p + 16q 2p + 16q - 10q + 5p = 5 7p + 6q = 5 ---------------------(2) on subtract eq. 1 and 2 8p + 6q = 4 7p + 6q = 5 - - - .................................... p = -1 PUT the value of p in eq. 1 8p + 6q = 4 8(-1) + 6q = 4 -8 + 6q = 4 6q = 4 + 8 6q = 12 q = 12/6 q = 2

30.

which values of P and Q, will the following pair of linear equations have infinitely many solutions for4 X + 5 Y = 2 ,( 2 p+ 7q) X + (p+8q) Y =2q-p+1

Answer»

Answer:

p = -1 and q = 2

Step-by-step explanation:

4x + 5Y - 2 = 0

(2p+7Q)x + (p+8q)y - (2q-p+1) = 0

given eq. is infinite solution

so, a1/a2 = b1/b2 = c1/c2

4/(2p+7q) = 5/(p+7q) = -2/[-(2q-p+1)]

on COMPARING

a1/a2 = c1/c2

4/(2p + 7q) = 2/(2q - p + 1)

4(2q - p +1) = 2(2p + 7q)

8q - 4p + 4 = 4p + 14q

4p + 14q - 8q + 4p = 4

8p + 6q = 4 --------------------(1)

now, b1/b2 = c1/c2

5/(p + 7q) = 2/(2q - p + 1)

5(2q - p + 1) = 2(p + 8q)

10q - 5q + 5 = 2p + 16q

2p + 16q - 10q + 5p = 5

7p + 6q = 5 ---------------------(2)

on subtract eq. 1 and 2

8p + 6q = 4

7p + 6q = 5

- - -

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

p = -1

PUT the value of p in eq. 1

8p + 6q = 4

8(-1) + 6q = 4

-8 + 6q = 4

6q = 4 + 8

6q = 12

q = 12/6

q = 2

Discussion

31.	Use Euclid's division lemma to show that the cube of any positive integer is of the form9m.9m + 1 or 9m +8.
Answer» Answer: 9m =9 q 9m= 3×3 q 9m= 3 m Step-by-step EXPLANATION: ........ ... .

31.

Use Euclid's division lemma to show that the cube of any positive integer is of the form9m.9m + 1 or 9m +8.

Answer»

Answer:

9m =9 q

9m= 3×3 q

9m= 3 m

Step-by-step EXPLANATION:

........

...

.

Discussion

32.	1000+7555-6959-3+666+985+666=?
Answer» hi MATE .simple yr fisrst ADD POSITIVE terms then negative terms or ( use bodmas RULE) 1000+7555-6959-3+666+985+666 =10,872-6962= 3910

32.

1000+7555-6959-3+666+985+666=?

Answer»

hi MATE .simple yr

fisrst ADD POSITIVE terms then negative terms or ( use bodmas RULE)

1000+7555-6959-3+666+985+666

=10,872-6962= 3910

Discussion

33.	Sin square 60°-cos square 60°= sin 30°
Answer» ANSWER: Step-by-step EXPLANATION: sin^2 60°-cos^2 60° = sin30° (√3/2)^2 -(1/2)^2 =1/2 3/4-1/4=1/2 3-1/4=1/2 2/4=1/2 1/2=1/2 THEREFORE,LHS=RHs

33.

Sin square 60°-cos square 60°= sin 30°

Answer»

ANSWER:

Step-by-step EXPLANATION:

sin^2 60°-cos^2 60° = sin30°

(√3/2)^2 -(1/2)^2 =1/2

3/4-1/4=1/2

3-1/4=1/2

2/4=1/2

1/2=1/2

THEREFORE,LHS=RHs

Discussion

34.	Can anyone plsss answer them it's imp plss
Answer» HENCE PROVED a×(b+c) = AB + AC

34.

Can anyone plsss answer them it's imp plss

Answer»

HENCE PROVED

a×(b+c) = AB + AC

Discussion

35.	Find Value of A and B if (√3-1)/(√3+1)=a-b√3
Answer» Here is your ANSWER, HOPE you MARK my answer as the BRAINIEST

35.

Find Value of A and B if (√3-1)/(√3+1)=a-b√3

Answer»

Here is your ANSWER,

HOPE you MARK my answer as the BRAINIEST

Discussion

36.	X + 33x – 52x – 535
Answer» ANSWER: X-3+3x-5+2x-5 x+3x+2x-3-5-5 6x-7 6x=-7 or x= -7-6 or x = -13

36.

X + 33x – 52x – 535

Answer»

ANSWER:

X-3+3x-5+2x-5

x+3x+2x-3-5-5

6x-7

6x=-7

or x= -7-6

or x = -13

Discussion

37.	3. An army contingent of 616 members is to march behind an army band of 32 members ina parade. The two groups are to march in the same number of columns. What is themaximum number of columns in which they can march?Use Euclid's division lemma to show that the square of any positive integer is either ofthe form 3m or 3m + 1 for some integer m.[Hint: Letx be any positive integer then it is of the form 37, 3q + 1 or 39+2. Now squareeach of these and show that they can be rewritten in the form 3m or 3m + 1.)Use Euclid's division lemma to show that the cube of any positive integer is of the form* 9m, 9m + 1 or 9m +8.The Fundamental Theorem of Arithmeticyour earlier classes, you have seen that any natural number can be written as aroduct of its prime factors. For instance, 2 = 2,4 = 2 * 2,253 = 11 x 23, and so on.Jow, let us try and look at natural numbers from the other direction. That is, can anyatural number be obtained by multiplying prime numbers? Let us see.Take any collection of prime numbers, say 2, 3, 7, 11 and 23. If we multiplyme or all of these numbers, allowing them to repeat as many times as we wish.e can produce a large collection of positive integers (In fact, infinitely many).Let us list a few
Answer» Answer: 1.)616 =2³37*11 32. =2power5 HCF=2³ HCF=8 2.)a=bq+r =3m² =9m² =3(3m)² We have shown that square if any POSITIVE integer will be in the form of 3N where m is some integer. (3m+1)²=3m²+2(3m)(1)+1² =9m²+6m+1 =3(3m²+2m) +1 We have shown that square of any positive integer will be in the form of 3q+1 where q is some integer

37.

3. An army contingent of 616 members is to march behind an army band of 32 members ina parade. The two groups are to march in the same number of columns. What is themaximum number of columns in which they can march?Use Euclid's division lemma to show that the square of any positive integer is either ofthe form 3m or 3m + 1 for some integer m.[Hint: Letx be any positive integer then it is of the form 37, 3q + 1 or 39+2. Now squareeach of these and show that they can be rewritten in the form 3m or 3m + 1.)Use Euclid's division lemma to show that the cube of any positive integer is of the form* 9m, 9m + 1 or 9m +8.The Fundamental Theorem of Arithmeticyour earlier classes, you have seen that any natural number can be written as aroduct of its prime factors. For instance, 2 = 2,4 = 2 * 2,253 = 11 x 23, and so on.Jow, let us try and look at natural numbers from the other direction. That is, can anyatural number be obtained by multiplying prime numbers? Let us see.Take any collection of prime numbers, say 2, 3, 7, 11 and 23. If we multiplyme or all of these numbers, allowing them to repeat as many times as we wish.e can produce a large collection of positive integers (In fact, infinitely many).Let us list a few

Answer»

Answer:

1.)616 =2³*3*7*11

32. =2power5

HCF=2³

HCF=8

2.)a=bq+r

=3m²

=9m²

=3(3m)²

We have shown that square if any POSITIVE integer will be in the form of 3N where m is some integer.

(3m+1)²=3m²+2(3m)(1)+1²

=9m²+6m+1

=3(3m²+2m) +1

We have shown that square of any positive integer will be in the form of

3q+1 where q is some integer

Discussion

38.	Answer this question number :-1,2,3,4,5....Of class 8th....answer fast ....it's very urgent. ....☺ ☺ ☺ ❤❤❤☺ ☺ ☺
Answer» ANSWER: PLEASE REFER to the ATTACHMENT

38.

Answer this question number :-1,2,3,4,5....Of class 8th....answer fast ....it's very urgent. ....☺ ☺ ☺ ❤❤❤☺ ☺ ☺

Answer»

ANSWER:

PLEASE REFER to the ATTACHMENT

Discussion

39.	Answer it fast .no spam answer.
Answer» Step-by-step explanation: 2a(a-3b)+5B(a-3b) (2a+5b)(a-3b) this is your ANSWER....

39.

Answer it fast .no spam answer.

Answer»

Step-by-step explanation:

2a(a-3b)+5B(a-3b)

(2a+5b)(a-3b)

this is your ANSWER....

Discussion

40.	What percentage is 40 paisa of 42 rupees
Answer» Step-by-step explanation: Converting from a decimal to a PERCENTAGE is done by MULTIPLYING the decimal VALUE by 100 and ADDING %. Example: 0.10 BECOMES 0.10 x 100 = 10% Example: 0.675 becomes 0.675 x 100 = 67.5%

40.

What percentage is 40 paisa of 42 rupees

Answer»

Step-by-step explanation:

Converting from a decimal to a PERCENTAGE is done by MULTIPLYING the decimal VALUE by 100 and ADDING %.

Example: 0.10 BECOMES 0.10 x 100 = 10%

Example: 0.675 becomes 0.675 x 100 = 67.5%

Discussion

41.	SWILL106On what sum will the difference between the simple and compound interest for 3 yearsat 10% p.a. is 232-50?The simple interest on a certain sum for 3 years is 1080 and the compound intereston the same sum at the same rate for 2 years is 741.60. Find:(i) the rate of interest(ii) the principal.8 In what time will 2400 amount to 2646 at 10% p.a. compounded semi-annually?9 Sudarshan invested 60000 in a finance company and received 579860 after 1 years.Find the rate of interest per annum compounded half-yearly.The population of a city is 320000. If the annual birth rate is 9.2% and the annual deathrate is 1.7%, calculate the population of the town after 3 years.Hint. Net growth rate = 9.2% – 1.7% = 7.5%.11 The cost of a car, purchased 2 years ago, depreciates at the rate of 20% every year. Ifits present worth is 315600, find :(i) its purchase price(ii) its value after 3 years.12 Amar Singh started a business with an initial investment of 400000. In the first year,he incurred a loss of 4%. However, during the second year, he earned a profit of 5%which in the third year rose to 10%. Calculate his net profit for the entire period of3 years.
Answer» GRETCHEN MODERN been MARCH Marchdrawn

Discussion

42.	Find the HCF 125 and 75. Express it in linear combination.
Answer» Answer: 25 Step-by-step EXPLANATION: 75=1,5,25,75 125=1,5,25,125 It's HCF =25

42.

Find the HCF 125 and 75. Express it in linear combination.

Answer»

Answer:

25

Step-by-step EXPLANATION:

75=1,5,25,75

125=1,5,25,125

It's HCF =25

Discussion

43.	Factorise-6x^2+5x-6 Pls do step by step will marked as brainliest
Answer» ANSWER: Step-by-step explanation: 6x^2+5x-6 =6x^2+9x-4x-6 =3x(2x+3)-2(2x+3) =(3x-2)(2x+3) HOPE it HELPS

43.

Factorise-6x^2+5x-6 Pls do step by step will marked as brainliest

Answer»

ANSWER:

Step-by-step explanation:

6x^2+5x-6

=6x^2+9x-4x-6

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

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

HOPE it HELPS

Discussion

44.	A vertical pole of length 6 metre cast a shadow 4 metre long on the ground and at the same time a tower Casts a shadow 28 long .find the height of the tower.
Answer» Answer: 42 mts Step-by-step EXPLANATION: SIMPLE RATIO and proportion question. try to picture the scenario

44.

A vertical pole of length 6 metre cast a shadow 4 metre long on the ground and at the same time a tower Casts a shadow 28 long .find the height of the tower.

Answer»

Answer:

42 mts

Step-by-step EXPLANATION:

SIMPLE RATIO and proportion question. try to picture the scenario

Discussion

45.	Pls answer...... it's urgent...
Answer» Step-by-step explanation: ANSWER:-(13) k=6,4 (14) k=(2/3),(-1) ... SOLUTION of both questions is in the PICS ...

45.

Pls answer...... it's urgent...

Answer»

Step-by-step explanation:

ANSWER:-(13) k=6,4

(14) k=(2/3),(-1) ...

SOLUTION of both questions is in the PICS ...

Discussion

46.	45967 , 60589 , 15827 , 72459 in A.O
Answer» Answer: 15837 < 45967 < 60589 < 72459

46.

45967 , 60589 , 15827 , 72459 in A.O

Answer»

Answer:

15837 < 45967 < 60589 < 72459

Discussion

47.	From which number should-11 by 4 be subtracted to give-11 by 4??
Answer» ANSWER: -11/2 Step-by-step EXPLANATION: a - (-11/4) = (-11/4) a +(11/4) = (-11/4) a = (-11/4) - (11/4) = -(22/4) = -(11/2)

47.

From which number should-11 by 4 be subtracted to give-11 by 4??

Answer»

ANSWER:

-11/2

Step-by-step EXPLANATION:

a - (-11/4) = (-11/4)

a +(11/4) = (-11/4)

a = (-11/4) - (11/4) = -(22/4) = -(11/2)

Discussion

48.	Rahul makes a cuboid of plasticine of sides 3cm×3cm×5cm. How many such cuboids will he need to form a cube?
Answer» Step-by-step EXPLANATION: Prime factorisation (So that we can find the number to multiply to get perfect cube) so the prime factors are 3 , 3 and 5 We must have triplets in the factors.If triplets are not there we should multiply the numbers such as there is a PAIR of 3 and single 5 so one 3 is less from its triplet and pair of 5 is less from its triplet. So multiply these numbers 355=75 Therefore 75 number of cuboids are needed

48.

Rahul makes a cuboid of plasticine of sides 3cm×3cm×5cm. How many such cuboids will he need to form a cube?

Answer»

Step-by-step EXPLANATION:

Prime factorisation

(So that we can find the number to multiply to get perfect cube)

so the prime factors are 3 , 3 and 5

We must have triplets in the factors.If triplets are not there we should multiply the numbers such as there is a PAIR of 3 and single 5 so one 3 is less from its triplet and pair of 5 is less from its triplet.

So multiply these numbers 3*5*5=75

Therefore 75 number of cuboids are needed

Discussion

49.	Not Understand that perimeter formula not understand
Answer» ANSWER: But what is the QUESTION

49.

Not Understand that perimeter formula not understand

Answer»

ANSWER:

But what is the QUESTION

Discussion

50.	Definition of various types of numbers in maths with suitable
Answer» ANSWER: SORRY I am in 7 STANDARD so I can't sorry

50.

Definition of various types of numbers in maths with suitable

Answer»

ANSWER:

SORRY I am in 7 STANDARD so I can't sorry

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

What do you mean by Geometry? Answer in 60-150 words

Solve for x a/ax-1 + b/bx-1 =a+b​

Divide and check your answer 18925 divided by 15​

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SOLUTION ☺️

Evaluate using number line(1)4-(-2)(2)2 more than -7​

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Difficult questions on linear equations in one variable

Find the least number to be added to 9598 to make it a perfect square

Find out the number that comes next and complete the series: 4, 2, 5, 1, 6, ?

Rationalize the denominator of :- 3/√3-√2+√5​

________________

Frequency table and HISTOGRAM you can clearly see in the attachment.

______________________________

Mean => (30,000 + 2,000+ 7,000+10,000+40,000)/5

Median => ( middle term )

so, the middle term is 10,000.

____________________________

_________________________

Thanks

Full solution neededDont spamUrgently needed​

If 3x−y=12, what is the value of 8x2y? ​

10% of 190 Rs......​

Sin A/1+sin A=1-cos A/sin A​

Five rational numbers between -3/2 and 5/3​

Rohit father is 27 years older than him and after 5 years their age ratio is 2:3 find their age​

If a-b=11,ab=-2,find a^3-b^3​

Find the area of circle whose perimeter is 352m?​

X + 3 by 7 - 2 x minus 5 by 3 is equal to 3 x minus 5 by 5 minus 25 solve this equation and check your answer​

x=25

∴ the value of x in the given equation is 25

If three pieces of a table cloth cost Rs.112.5 then the number of pieces of table cloth available for Rs.487.5 is​

which values of P and Q, will the following pair of linear equations have infinitely many solutions for4 X + 5 Y = 2 ,( 2 p+ 7q) X + (p+8q) Y =2q-p+1​

p = -1

q = 2

Use Euclid's division lemma to show that the cube of any positive integer is of the form9m.9m + 1 or 9m +8.​

1000+7555-6959-3+666+985+666=?

Sin square 60°-cos square 60°= sin 30°

Can anyone plsss answer them it's imp plss ​

Find Value of A and B if (√3-1)/(√3+1)=a-b√3​

X + 33x – 52x – 535​

Answer this question number :-1,2,3,4,5....Of class 8th....answer fast ....it's very urgent. ....☺ ☺ ☺ ❤❤❤☺ ☺ ☺

Answer it fast .no spam answer.​

this is your ANSWER....

What percentage is 40 paisa of 42 rupees​

Find the HCF 125 and 75. Express it in linear combination.​

Factorise-6x^2+5x-6 Pls do step by step will marked as brainliest

A vertical pole of length 6 metre cast a shadow 4 metre long on the ground and at the same time a tower Casts a shadow 28 long .find the height of the tower.

Pls answer...... it's urgent...

45967 , 60589 , 15827 , 72459 in A.O

From which number should-11 by 4 be subtracted to give-11 by 4??

Rahul makes a cuboid of plasticine of sides 3cm×3cm×5cm. How many such cuboids will he need to form a cube?

Not Understand that perimeter formula not understand

Definition of various types of numbers in maths with suitable

Solve for x a/ax-1 + b/bx-1 =a+b

Divide and check your answer 18925 divided by 15

In triangle ABC, the measure of ∠B is 90°,BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and Fcorrespond to vertices A, B, and C, respectively, and each side of triangle DEF is 13 the length of the corresponding side of triangle ABC. What is the value of sinF?

Evaluate using number line(1)4-(-2)(2)2 more than -7

Tan 30° + tan 120' + Sin 150+ Cos 210° + tan 330°=

Which is never a factor of any number

Rationalize the denominator of :- 3/√3-√2+√5

Full solution neededDont spamUrgently needed

If 3x−y=12, what is the value of 8x2y?

10% of 190 Rs......

Sin A/1+sin A=1-cos A/sin A

Five rational numbers between -3/2 and 5/3

Rohit father is 27 years older than him and after 5 years their age ratio is 2:3 find their age

If a-b=11,ab=-2,find a^3-b^3

Find the area of circle whose perimeter is 352m?

X + 3 by 7 - 2 x minus 5 by 3 is equal to 3 x minus 5 by 5 minus 25 solve this equation and check your answer

∴ the value of x in the given equation $\frac{x+3}{7} -\frac{(2x-5)}{3}=\frac{3x-5}{5}-25$ is 25

If three pieces of a table cloth cost Rs.112.5 then the number of pieces of table cloth available for Rs.487.5 is

which values of P and Q, will the following pair of linear equations have infinitely many solutions for4 X + 5 Y = 2 ,( 2 p+ 7q) X + (p+8q) Y =2q-p+1

Use Euclid's division lemma to show that the cube of any positive integer is of the form9m.9m + 1 or 9m +8.

Can anyone plsss answer them it's imp plss

Find Value of A and B if (√3-1)/(√3+1)=a-b√3

X + 33x – 52x – 535

Answer it fast .no spam answer.

What percentage is 40 paisa of 42 rupees

Find the HCF 125 and 75. Express it in linear combination.