332354 + Interview Questions in Secondary School in Math

1.	2. Verify the following:(a) 18 x [7 +(-3)] = [18 x 71+ [18 (-3)
Answer» ANSWER: CONSIDER LHS Step-by-step explanation: 18×7-3=72 72=72

1.

2. Verify the following:(a) 18 x [7 +(-3)] = [18 x 71+ [18 (-3)

Answer»

ANSWER:

CONSIDER LHS

Step-by-step explanation:

18×7-3=72

72=72

Discussion

2.	Find the smallest number by which 3645 must be multipled to get a perfect square
Answer» ANSWER: its 5 slove it and see Step-by-step EXPLANATION: your WELCOME

2.

Find the smallest number by which 3645 must be multipled to get a perfect square

Answer»

ANSWER:

its 5

slove it and see

Step-by-step EXPLANATION:

your WELCOME

Discussion

3.	Which figure is formed if opposite side of quadrilateral are congruent and parallel but none of the angle is 90 degree
Answer» ANSWER: A PARALLELOGRAM Step-by-step explanation: A parallelogram is formed if opposite side of QUADRILATERAL are congeuent and PARALLEL but NONE of the angle is 90 degree. HOPE IT WILL HELP YOU...

3.

Which figure is formed if opposite side of quadrilateral are congruent and parallel but none of the angle is 90 degree

Answer»

ANSWER:

A PARALLELOGRAM

Step-by-step explanation:

A parallelogram is formed if opposite side of QUADRILATERAL are congeuent and PARALLEL but NONE of the angle is 90 degree.

HOPE IT WILL HELP YOU...

Discussion

4.	Find out the 2÷14=? What correct answer
Answer» Step-by-step EXPLANATION: HOPE this HELPS you and LOOK the ANSWER once

4.

Find out the 2÷14=? What correct answer

Answer»

Step-by-step EXPLANATION:

HOPE this HELPS you and LOOK the ANSWER once

Discussion

5.	Three hundred twenty six million two hundred six thousand one hundred and forty nine in numerals
Answer» ANSWER: 32626149 Step-by-step EXPLANATION: PLEASE MARK me BRAINLIEST answer

5.

Three hundred twenty six million two hundred six thousand one hundred and forty nine in numerals

Answer»

ANSWER:

32626149

Step-by-step EXPLANATION:

PLEASE MARK me BRAINLIEST answer

Discussion

6.	What must be added to 345269 to make it equal 6 crore
Answer» ANSWER: 599654731 Step-by-step EXPLANATION: *WRITE* 6 *crore* *Then* *subtract* it *from* 345269 *The* *answer* *will* *come* of *SUBTRACTION. if that* *value* *you* *will* *add* to 345269 6 *crore* *will* *come. Hope* *you* *will* *LIKE* it

6.

What must be added to 345269 to make it equal 6 crore

Answer»

ANSWER:

599654731

Step-by-step EXPLANATION:

WRITE 6 crore
Then subtract it from 345269
The answer will come of SUBTRACTION. if that value you will add to 345269 6 crore will come.
Hope you will LIKE it

Discussion

7.	Estimate first, then name the sum or difference?47+37=
Answer» ANSWER: Ans=84, it is SUM.. Step-by-step explanation: PLEASE MARK me BRAINLIEST answer

7.

Estimate first, then name the sum or difference?47+37=

Answer»

ANSWER:

Ans=84, it is SUM..

Step-by-step explanation:

PLEASE MARK me BRAINLIEST answer

Discussion

8.	42,63 find the HCF of the number using prime factorisation method
Answer» Answer: 2 Step-by-step explanation: 42÷2=24, 24÷2=12, 12÷2=6, 6÷2=3, 6÷3=2, 2÷2=2

8.

42,63 find the HCF of the number using prime factorisation method

Answer»

Answer:

2

Step-by-step explanation:

42÷2=24, 24÷2=12, 12÷2=6, 6÷2=3, 6÷3=2, 2÷2=2

Discussion

9.	Write the formula to find interest and write the meaning of each letter in it
Answer» Answer: SIMPLE INTEREST : P×R×T ÷ 100 P = PRINCIPLE R = Rate of Interest T = TIME

9.

Write the formula to find interest and write the meaning of each letter in it

Answer»

Answer:

SIMPLE INTEREST : P×R×T ÷ 100

P = PRINCIPLE

R = Rate of Interest

T = TIME

Discussion

10.	F(x)=x^2 G(x)=2x+1 find fog & gof
Answer» Answer: (FOG)(X)=F(G(X)) =f(2x+1) =(2x+1)² =4x²+1+4x (GOF)(X)=g(f(X)) =g(x²) =2x²+1

10.

F(x)=x^2 G(x)=2x+1 find fog & gof

Answer»

Answer:

(FOG)(X)=F(G(X))

=f(2x+1)

=(2x+1)²

=4x²+1+4x

(GOF)(X)=g(f(X))

=g(x²)

=2x²+1

Discussion

11.	SecA-tanA=2/3 then find secA
Answer» Answer: UR answer is attached above!! Ur answer is attached above!! HOPE it helps u!! Ur answer is attached above!! Hope it helps u!! Mark my answer as brainliest because only ONE brainliest answer is remaining!!

11.

SecA-tanA=2/3 then find secA

Answer»

Answer:

UR answer is attached above!!

Ur answer is attached above!! HOPE it helps u!!

Ur answer is attached above!! Hope it helps u!! Mark my answer as brainliest because only ONE brainliest answer is remaining!!

Discussion

12.	Ratio of 500 gram to 2 kg is equal to __
Answer» Answer: 500 gm : 2 kg in kg o.5 kg : 2kg in GRAMS 500 gm : 2000 gm

12.

Ratio of 500 gram to 2 kg is equal to __

Answer»

Answer:

500 gm : 2 kg

in kg

o.5 kg : 2kg

in GRAMS

500 gm : 2000 gm

Discussion

13.	APPLICATION OF PERIMETER OF RECTANGLE IN DAILY LIFE
Answer» Answer: USES of perimeter and area in daily life Fencing off an area to plot a crop. Since fences cost money for a given area you would want to minimize the perimeter. Planning the construction of a HOUSE. ... BUILDING a barn with box stalls for horses. ... WOOD. ... Building a swimming pool.

13.

APPLICATION OF PERIMETER OF RECTANGLE IN DAILY LIFE

Answer»

Answer:

USES of perimeter and area in daily life

Fencing off an area to plot a crop. Since fences cost money for a given area you would want to minimize the perimeter.

Planning the construction of a HOUSE. ...

BUILDING a barn with box stalls for horses. ...

WOOD. ...

Building a swimming pool.

Discussion

14.	4 times of a number is 20.what is the number
Answer» Answer: 5 Step-by-step explanation: 5×1=5 5×2=10 5×3=15 5×4=20

14.

4 times of a number is 20.what is the number

Answer»

Answer:

5

Step-by-step explanation:

5×1=5

5×2=10

5×3=15

5×4=20

Discussion

15.	Arrange the following numbers in ascending order.50, 60, 713, 5, 62.302, 4545782, 91655, 62, 310.
Answer» ANSWER: here is your answer Step-by-step explanation: 5,50,60,62,62.302,310,713,91655,4545782

15.

Arrange the following numbers in ascending order.50, 60, 713, 5, 62.302, 4545782, 91655, 62, 310.

Answer»

ANSWER:

here is your answer

Step-by-step explanation:

5,50,60,62,62.302,310,713,91655,4545782

Discussion

16.	[2(7.25) + 2(24)] -10 What is the discounted price in dollars and cents of the clothes Zoey bought?
Answer» Step-by-step explanation: GIVEN At a clothing store, ZOEY bought 2 shirts for $ 7.25 each and 2 pairs of jeans for $24 each. She used a coupon for $ 10 off the total price of the clothes. The discounted price of the clothes Zoey bought can be found using this EXPRESSION. [ 2 (7.25) + 2(24)] – 10 What is the discounted price in dollars and cents of the clothes Zoey bought? Now Zoey bought 2 shirts for $ 7.25 which will be 2 x 7.25 Also 2 pairs of jeans for $24 which will be 2 x 24 So the coupon used for $ 10 off on the total price is subtracted. So we have the expression [ 2(7.25) + 2(24)] – 10 14.50 + 48 – 10 62.50 – 10 $ 52.50 So the discounted price that Zoey bought will be $ 52.50 Reference link will be https://brainly.co.id/tugas/17606990

16.

[2(7.25) + 2(24)] -10 What is the discounted price in dollars and cents of the clothes Zoey bought?

Answer»

Step-by-step explanation:

GIVEN At a clothing store, ZOEY bought 2 shirts for $ 7.25 each and 2 pairs of jeans for $24 each. She used a coupon for $ 10 off the total price of the clothes. The discounted price of the clothes Zoey bought can be found using this EXPRESSION.

[ 2 (7.25) + 2(24)] – 10

What is the discounted price in dollars and cents of the clothes Zoey bought?

Now Zoey bought 2 shirts for $ 7.25 which will be 2 x 7.25
Also 2 pairs of jeans for $24 which will be 2 x 24
So the coupon used for $ 10 off on the total price is subtracted.
So we have the expression
[ 2(7.25) + 2(24)] – 10
14.50 + 48 – 10
62.50 – 10
$ 52.50
So the discounted price that Zoey bought will be $ 52.50

Reference link will be

https://brainly.co.id/tugas/17606990

Discussion

17.	Bharti is older than arti by 3 years. What will be the age of arti after 3 year if sum of there ages are 12?
Answer» ANSWER: 4 and a HALF Step-by-step EXPLANATION: because it is the answer

17.

Bharti is older than arti by 3 years. What will be the age of arti after 3 year if sum of there ages are 12?

Answer»

ANSWER:

4 and a HALF

Step-by-step EXPLANATION:

because it is the answer

Discussion

18.	Linera equation in two veriable
Answer» It is a CHAPTER of 8,9,10 CLASSES in MATHEMATICS SUBJECTS

Discussion

19.	Write how many metre and how many paise
Answer» ANSWER: If it is 20m to that will be 2000 paise. Hope this HELPS U mate Step-by-step EXPLANATION:

19.

Write how many metre and how many paise

Answer»

ANSWER:

If it is 20m to that will be 2000 paise.

Hope this HELPS U mate

Step-by-step EXPLANATION:

Discussion

20.	700 + 20 + 5 +9/ 100 write in decimal form
Answer» ANSWER: i don't KNOW about that

20.

700 + 20 + 5 +9/ 100 write in decimal form

Answer»

ANSWER:

i don't KNOW about that

Discussion

21.	Find the figure BOC is 70degree then find the AOC
Answer» Answer: Find the FIGURE BOC is 70degree then find the AOC Step-by-step explanation: MARK brainliest

21.

Find the figure BOC is 70degree then find the AOC

Answer»

Answer:

Find the FIGURE BOC is 70degree then find the AOC

Step-by-step explanation:

MARK brainliest

Discussion

22.	Which of the following number's square roots are irrational?(i) 100(ii) 14(iii) 72(iv) 1/144(v)507/867
Answer» ANSWER: OPTION 4 is your answer Step-by-step explanation: FOLLOW and MARK as brainly too

22.

Which of the following number's square roots are irrational?(i) 100(ii) 14(iii) 72(iv) 1/144(v)507/867

Answer»

ANSWER:

OPTION 4 is your answer

Step-by-step explanation:

FOLLOW and MARK as brainly too

Discussion

23.	Verify that (a+b)+c=a+(b+c) by takeing a=1 ,b=(-2/3) , c=(3/-4
Answer» YEAH BABY BOY GIRL baby baby I HOPE your girl

Discussion

24.	Write the largest odd number in ones place 532_ and write the number name of it.
Answer» ANSWER: Largest ODD number is 5329 . The number name 5329 - Five THOUSAND three hundred TWENTY nine.

24.

Write the largest odd number in ones place 532_ and write the number name of it.

Answer»

ANSWER:

Largest ODD number is

5329 .

The number name 5329 - Five THOUSAND three hundred TWENTY nine.

Discussion

25.	Verify each of the following is an A.P or not?(i) x+y, (x+1)+y, (x+1)+(y+1),- - -(ii) x, 2x+1, 3x+2, 4x+3, - - - (iii) x, 2x, 3x, 4x, - - -
Answer» ANSWER: (i)x+1+y-x-y=1,x+1+y+1-x-1-y=1 since,it is an AP (II)it is an AP (III)it is an AP

25.

Verify each of the following is an A.P or not?(i) x+y, (x+1)+y, (x+1)+(y+1),- - -(ii) x, 2x+1, 3x+2, 4x+3, - - - (iii) x, 2x, 3x, 4x, - - -

Answer»

ANSWER:

(i)x+1+y-x-y=1,x+1+y+1-x-1-y=1

since,it is an AP

(II)it is an AP

(III)it is an AP

Discussion

26.	Solve the following2) 6y+10=-2
Answer» Step-by-step explanation: 6y= -2-10 or,6y= -12 or,y= -2 hope it'll HELP you PLEASE MAKE it BRAINLIEST ANSWER

26.

Solve the following2) 6y+10=-2

Answer»

Step-by-step explanation:

6y= -2-10

or,6y= -12

or,y= -2

hope it'll HELP you PLEASE MAKE it BRAINLIEST ANSWER

Discussion

27.	IS 0 A RATIONAL NUMBER
Answer» ANSWER: no ZERO is not a RATIONAL NUMBER

27.

IS 0 A RATIONAL NUMBER

Answer»

ANSWER:

no ZERO is not a RATIONAL NUMBER

Discussion

28.	If Alpha & Beta are the zeroes of polynomial x^2-7x+10 then form a quadratic polynomial whose zeroes are half the zeroes of given polynomial.
Answer» ANSWER: $\alpha + \beta = 7 \\ \alpha \beta = 10 \\ \\ {x}^{2} - ( \frac{ \alpha }{2} + \frac{ \beta }{2} )x + \frac{ \alpha }{2} \times \frac{ \beta }{2} = 0 \\ {x}^{2} - \frac{1}{2} ( \alpha + \beta )x + \frac{ \alpha \beta }{4} = 0 \\ \\ {x}^{2} - \frac{7}{2} x - \frac{10}{4} = 0$

28.

If Alpha & Beta are the zeroes of polynomial x^2-7x+10 then form a quadratic polynomial whose zeroes are half the zeroes of given polynomial.

Answer»

ANSWER:

$\alpha + \beta = 7 \\ \alpha \beta = 10 \\ \\ {x}^{2} - ( \frac{ \alpha }{2} + \frac{ \beta }{2} )x + \frac{ \alpha }{2} \times \frac{ \beta }{2} = 0 \\ {x}^{2} - \frac{1}{2} ( \alpha + \beta )x + \frac{ \alpha \beta }{4} = 0 \\ \\ {x}^{2} - \frac{7}{2} x - \frac{10}{4} = 0$

Discussion

29.	Solve the following simultaneous equations graphically.(1) x + y = 6 ; x - y = 4
Answer» X + y = 6 x - y = 4 --------------- by elimination method, 2X = 2 x = 2/2 x = 1 sub/: x = 1 in eqn 1 + y = 6 y = 6-1 y = 5

29.

Solve the following simultaneous equations graphically.(1) x + y = 6 ; x - y = 4

Answer»

X + y = 6

x - y = 4

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

by elimination method,

2X = 2

x = 2/2

x = 1

sub/: x = 1 in eqn

1 + y = 6

y = 6-1

y = 5

Discussion

30.	Calculate the area..if The area of each box is 1cm square
Answer» Answer: 21 SQUARE cm Step-by-step EXPLANATION: AVOID the ONE who is small than HALF of the block.

30.

Calculate the area..if The area of each box is 1cm square

Answer»

Answer:

21 SQUARE cm

Step-by-step EXPLANATION:

AVOID the ONE who is small than HALF of the block.

Discussion

31.	Add(i) (2/3-5,2) and (3+2/2)
Answer» Step-by-step explanation: 2/3-5=-13/3and 3+2/2=8/2=4

31.

Add(i) (2/3-5,2) and (3+2/2)

Answer»

Step-by-step explanation:

2/3-5=-13/3and

3+2/2=8/2=4

Discussion

32.	For the cost function () = 2 − 5 + 100, the average cost of producing 20 items is_________.
Answer» Answer: Now to find AC increasing, we will differentiate the function of average cost and see at critical points. dx d(AC) =2− x 2 50 =0⇒x=−5,5 Now if we plot it on number LINE we can see that functions VALUE increases from (−∞,−5),(5,∞) and DECREASES from (−5,5). Hence range of values of the OUTPUT x, for which AC is increasing is (−∞,−5)∪(5,∞) Step-by-step explanation: please give thank and please mark as brilliant

32.

For the cost function () = 2 − 5 + 100, the average cost of producing 20 items is_________.

Answer»

Answer:

Now to find AC increasing, we will differentiate the function of average cost and see at critical points.

dx

d(AC)

=2−

x

2

50

=0⇒x=−5,5

Now if we plot it on number LINE we can see that functions VALUE increases from (−∞,−5),(5,∞) and DECREASES from (−5,5).

Hence range of values of the OUTPUT x, for which AC is increasing is (−∞,−5)∪(5,∞)

Step-by-step explanation:

please give thank and please mark as brilliant

Discussion

33.	find the zeroes of the quadratic polynomials 4x²-x-4 and verify the relationship between the zeroes and the coefficients.
Answer» Answer: this QUESTION is not factorable as it is WRONG so no answer will come. check it FIRST again and then WRITE

33.

find the zeroes of the quadratic polynomials 4x²-x-4 and verify the relationship between the zeroes and the coefficients.

Answer»

Answer:

this QUESTION is not factorable as it is WRONG so no answer will come. check it FIRST again and then WRITE

Discussion

34.	What do you mean by homicide
Answer» Answer: Homicide is the act of one human KILLING another. A homicide REQUIRES only a volitional act by another person that RESULTS in death, and thus a homicide may result from accidental, RECKLESS, or NEGLIGENT acts even if there is no intent to cause harm.

34.

What do you mean by homicide

Answer»

Answer:

Homicide is the act of one human KILLING another. A homicide REQUIRES only a volitional act by another person that RESULTS in death, and thus a homicide may result from accidental, RECKLESS, or NEGLIGENT acts even if there is no intent to cause harm.

Discussion

35.	If a2 = 4 and a5 = 13 then find a10
Answer» Step-by-step explanation: A2 = a+ d 4 = a+d----------1 A5 = a+ 4D 13 = a+d+3d ------2 from 1, a+d=4 13 = 4+3d 9 = 3d d = 3 putting value of d in 1 4 = a+ 3 a = 1 A10 = a+9d = 1+ 9(3) = 1+ 27 =28

35.

If a2 = 4 and a5 = 13 then find a10

Answer»

Step-by-step explanation:

A2 = a+ d

4 = a+d----------1

A5 = a+ 4D

13 = a+d+3d ------2

from 1, a+d=4

13 = 4+3d

9 = 3d

d = 3

putting value of d in 1

4 = a+ 3

a = 1

A10 = a+9d

= 1+ 9(3)

= 1+ 27

=28

Discussion

36.	If p(x)= x³+3x²+2x-1 them p(0) p(-1) p(2)
Answer» Step-by-step EXPLANATION: FACTOR 3x2+2x+5 =3x2+2x+5 Answer: 3x2+2x+5

36.

If p(x)= x³+3x²+2x-1 them p(0) p(-1) p(2)

Answer»

Step-by-step EXPLANATION:

FACTOR 3x2+2x+5

=3x2+2x+5

Answer:

3x2+2x+5

Discussion

37.	the heights of two triangles having same base are 4 cm and 6 cm what is the ratio of their corresponding areas?
Answer» Answer: 2:3 Step-by-step EXPLANATION: Assume 2 as base *Area* of triangle(1)=1/2**base***height* =1/224 =4 *Area* of *triangle (2)=1/2*base***height* =1/226 =6 ratio of 4and6 is 2:3

37.

the heights of two triangles having same base are 4 cm and 6 cm what is the ratio of their corresponding areas?

Answer»

Answer:

2:3

Step-by-step EXPLANATION:

Assume 2 as base

Area of triangle(1)=1/2*base*height

=1/2*2*4

=4

Area of triangle (2)=1/2*base*height

=1/2*2*6

=6

ratio of 4and6 is 2:3

Discussion

38.	kirti bookstore sold books worth ₹2,85,891 in the first week of June and books worth ₹4,00,768 in the second week of the month. how much was the sale for the two weeks together? in which week the sale greater and by how much
Answer» CLICK on the above PICTURE PLEASE MARK BRAINLIEST

38.

kirti bookstore sold books worth ₹2,85,891 in the first week of June and books worth ₹4,00,768 in the second week of the month. how much was the sale for the two weeks together? in which week the sale greater and by how much

Answer»

CLICK on the above PICTURE

PLEASE MARK BRAINLIEST

Discussion

39.	સૂત્ર ની રીતે દ્રીઘાત સમીકરણ ના બીજ મેળવો 3x²-5x+3=0
Answer» ANSWER: I don't know what is this language but I didn't UNDERSTOOD this question ALSO but can you send in English language PLEASE

39.

સૂત્ર ની રીતે દ્રીઘાત સમીકરણ ના બીજ મેળવો 3x²-5x+3=0

Answer»

ANSWER:

I don't know what is this language but I didn't UNDERSTOOD this question ALSO but can you send in English language PLEASE

Discussion

40.	11^179 last three digit.Please answer first
Answer» Step-by-step explanation: 11^179 =672749994932560009201

40.

11^179 last three digit.Please answer first

Answer»

Step-by-step explanation:

11^179

=672749994932560009201

Discussion

41.	Y227xZx?2,2 Xaa+-ly7.xºlza
Answer» ANSWER: qrgvihhgskfjkhsxkidm

41.

Y227xZx?2,2 Xaa+-ly7.xºlza

Answer»

ANSWER:

qrgvihhgskfjkhsxkidm

Discussion

42.	D8 Read the zeroes of polynomial x ²-3 and verify the relationship between the coefficients and zeroes
Answer» ANSWER: RELATIONSHIP between the ZEROES and the COEFFICIENTS is $\alpha + \beta = 0 \\ \alpha \beta = - 3$

42.

D8 Read the zeroes of polynomial x ²-3 and verify the relationship between the coefficients and zeroes

Answer»

ANSWER:

RELATIONSHIP between the ZEROES and the COEFFICIENTS is

$\alpha + \beta = 0 \\ \alpha \beta = - 3$

Discussion

43.	Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q issome integer.
Answer» Step-by-step EXPLANATION: SEE that is COMPLETE INFORMATION

43.

Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q issome integer.

Answer»

Step-by-step EXPLANATION:

SEE that is COMPLETE INFORMATION

Discussion

44.	the heights of two triangles having same base are 4 cm and 6 cm what is the ratio of their corresponding areas
Answer» ANSWER: NONINININKNKNVJNN no NONO

44.

the heights of two triangles having same base are 4 cm and 6 cm what is the ratio of their corresponding areas

Answer»

ANSWER:

NONINININKNKNVJNN no NONO

Discussion

45.	find the zeros of polynomial p(x)=x²+2x-15and also verify the relationship between the zeros and coefficients
Answer» ANSWER: HOPE it HELPS you Thanku

45.

find the zeros of polynomial p(x)=x²+2x-15and also verify the relationship between the zeros and coefficients

Answer»

ANSWER:

HOPE it HELPS you

Thanku

Discussion

46.	On the level ground, the angle of elevation of a tower is 30°. On moving 20 m nearer, the angle of elevation is 60°. The height of the tower is
Answer» $\huge\underline\mathfrak\pink{Answer}$ LET AS be the TOWER and BD be the ground. Let H be the HEIGHT of the tower. In ΔADB, $\sf \: tan \: 30 \degree = \frac{h}{20+x} \\ \\ \sf \implies \frac{1}{ \sqrt{3} } = \frac{h}{20+x} \\ \\ \sf \implies \: h= \frac{20+x}{ \sqrt{3} } \\$ In ΔADB, $\sf \implies \: tan \: 60 \degree = \frac{h}{x} \\ \\ \sf \implies\: h= \sqrt{3} x \\ \\ \sf \: Now, \sqrt{3} = \frac{20+x}{ \sqrt{3} } \\ \\ \sf \implies \: 3x=20+x \\ \\\sf \implies \: x=10 \\ \\ \sf \implies \: h= \sqrt{3} ×10=10 \sqrt{3} \: m$

46.

On the level ground, the angle of elevation of a tower is 30°. On moving 20 m nearer, the angle of elevation is 60°. The height of the tower is

Answer»

$\huge\underline\mathfrak\pink{Answer}$

LET AS be the TOWER and BD be the ground.

Let H be the HEIGHT of the tower.

In ΔADB,

$\sf \: tan \: 30 \degree = \frac{h}{20+x} \\ \\ \sf \implies \frac{1}{ \sqrt{3} } = \frac{h}{20+x} \\ \\ \sf \implies \: h= \frac{20+x}{ \sqrt{3} } \\$

In ΔADB,

$\sf \implies \: tan \: 60 \degree = \frac{h}{x} \\ \\ \sf \implies\: h= \sqrt{3} x \\ \\ \sf \: Now, \sqrt{3} = \frac{20+x}{ \sqrt{3} } \\ \\ \sf \implies \: 3x=20+x \\ \\\sf \implies \: x=10 \\ \\ \sf \implies \: h= \sqrt{3} ×10=10 \sqrt{3} \: m$

Discussion

47.	Estimate the value of the following to the nearest ten 97multiple 12
Answer» ANSWER: 97 × 12 = 1,164 = 1,160 Step-by-step explanation: HOPE it HELPS please mark brainlist answer

47.

Estimate the value of the following to the nearest ten 97multiple 12

Answer»

ANSWER:

97 × 12 =

1,164

= 1,160

Step-by-step explanation:

HOPE it HELPS please mark brainlist answer

Discussion

48.	IF THE SUM OF 12 MARKS IS 510 ,THEN WHAT IS THE AVERAGE
Answer» ANSWER: idk Step-by-step EXPLANATION: ____________6272-#72-26#-

48.

IF THE SUM OF 12 MARKS IS 510 ,THEN WHAT IS THE AVERAGE

Answer»

ANSWER:

idk

Step-by-step EXPLANATION:

____________6272-#72-26#-

Discussion

49.	Find the projection of the vector [2i-3j+6k] on the vector [i+2j+2k].
Answer» $\large\underline{\bf{Solution-}}$ $\rm :\longmapsto\:Let \: \vec{a} = 2\hat{i} - 3\hat{j} + 6\hat{k}$ and $\rm :\longmapsto\:Let \: \vec{b} = \hat{i} + 2\hat{j} + 2\hat{k}$ We KNOW, $\red{\bf :\longmapsto\:Projection \: of \: \vec{a} \: on \: \vec{b} = \dfrac{\vec{a}.\vec{b}}{ \|\vec{b}\| }}$ CONSIDER, $\rm :\longmapsto\:\vec{a}.\vec{b}$ $\: \: \rm = \: \: (2\hat{i} - 3\hat{j} + 6\hat{k}).(\hat{i} + 2\hat{j} + 2\hat{k})$ $\: \: \rm = \: \: 2 - 6 + 12$ $\: \: \rm = \: \: 8$ $\boxed{\bf\implies \:\vec{a}.\vec{b} = 8}$ Consider, $\rm :\longmapsto\: \|\vec{b}\|$ $\: \: \rm = \: \: \sqrt{ {(1)}^{2} + {(2)}^{2} + {(2)}^{2} }$ $\: \: \rm = \: \: \sqrt{1 + 4 + 4}$ $\: \: \rm = \: \: \sqrt{9}$ $\: \: \rm = \: \: 3$ $\boxed{\bf\implies \: \|\vec{b}\| = 3}$ HENCE, ${\bf :\longmapsto\:Projection \: of \: \vec{a} \: on \: \vec{b} = \dfrac{\vec{a}.\vec{b}}{ \|\vec{b}\| } = \dfrac{8}{3} }$ ADDITIONAL INFORMATION :- $\boxed{ \sf \: \vec{a}.\vec{b} = \|\vec{a}\| \|\vec{b}\| cos \theta}$ $\boxed{ \sf \: \|\vec{a} \times \vec{b}\| = \|\vec{a}\| \|\vec{b}\| sin\theta}$ $\boxed{ \sf \: \vec{a}.\vec{b} = 0 \implies \: \vec{a} \: \perp \: \vec{b}}$ $\boxed{ \sf \: \vec{a} \times \vec{b} = 0 \implies \: \vec{a} \: \parallel \: \vec{b}}$ $\boxed{ \sf \: \vec{a}.\vec{a} = { \|\vec{a}\| }^{2} }$ $\boxed{ \sf \: \vec{a} \times \vec{a} = 0}$ $\boxed{ \sf \: \vec{a}.\vec{b} = \vec{b}.\vec{a}}$ $\boxed{ \sf \: \vec{a} \times \vec{b} = - \vec{b} \times \vec{a}}$

49.

Find the projection of the vector [2i-3j+6k] on the vector [i+2j+2k].

Answer»

$\large\underline{\bf{Solution-}}$

$\rm :\longmapsto\:Let \: \vec{a} = 2\hat{i} - 3\hat{j} + 6\hat{k}$

and

$\rm :\longmapsto\:Let \: \vec{b} = \hat{i} + 2\hat{j} + 2\hat{k}$

We KNOW,

$\red{\bf :\longmapsto\:Projection \: of \: \vec{a} \: on \: \vec{b} = \dfrac{\vec{a}.\vec{b}}{ |\vec{b}| }}$

CONSIDER,

$\rm :\longmapsto\:\vec{a}.\vec{b}$

$\: \: \rm = \: \: (2\hat{i} - 3\hat{j} + 6\hat{k}).(\hat{i} + 2\hat{j} + 2\hat{k})$

$\: \: \rm = \: \: 2 - 6 + 12$

$\: \: \rm = \: \: 8$

$\boxed{\bf\implies \:\vec{a}.\vec{b} = 8}$

Consider,

$\rm :\longmapsto\: |\vec{b}|$

$\: \: \rm = \: \: \sqrt{ {(1)}^{2} + {(2)}^{2} + {(2)}^{2} }$

$\: \: \rm = \: \: \sqrt{1 + 4 + 4}$

$\: \: \rm = \: \: \sqrt{9}$

$\: \: \rm = \: \: 3$

$\boxed{\bf\implies \: |\vec{b}| = 3}$

HENCE,

${\bf :\longmapsto\:Projection \: of \: \vec{a} \: on \: \vec{b} = \dfrac{\vec{a}.\vec{b}}{ |\vec{b}| } = \dfrac{8}{3} }$

ADDITIONAL INFORMATION :-

$\boxed{ \sf \: \vec{a}.\vec{b} = |\vec{a}| |\vec{b}| cos \theta}$

$\boxed{ \sf \: |\vec{a} \times \vec{b}| = |\vec{a}| |\vec{b}| sin\theta}$

$\boxed{ \sf \: \vec{a}.\vec{b} = 0 \implies \: \vec{a} \: \perp \: \vec{b}}$

$\boxed{ \sf \: \vec{a} \times \vec{b} = 0 \implies \: \vec{a} \: \parallel \: \vec{b}}$

$\boxed{ \sf \: \vec{a}.\vec{a} = { |\vec{a}| }^{2} }$

$\boxed{ \sf \: \vec{a} \times \vec{a} = 0}$

$\boxed{ \sf \: \vec{a}.\vec{b} = \vec{b}.\vec{a}}$

$\boxed{ \sf \: \vec{a} \times \vec{b} = - \vec{b} \times \vec{a}}$

Discussion

50.	Ab²-bc²-ab+c²Factorise the following
Answer» ANSWER: a for APPLE B for ball Step-by-step EXPLANATION: C for cuttie

50.

Ab²-bc²-ab+c²Factorise the following

Answer»

ANSWER:

a for APPLE

B for ball

Step-by-step EXPLANATION:

C for cuttie

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