332354 + Interview Questions in Secondary School in Math

1.	If surface area of a sphere is 784πcm2 .Find its radius.
Answer» ong>Given: Surface area of SPHERE = 784 π cm² ⠀⠀⠀ To FIND: RADIUS of sphere? ⠀━━━━━━━━━━━━━━━━━━━━━━━ Sphere is a BALL shape where the surface is the same distance from the center at all points. ⠀⠀⠀ ⌬ Let radius of sphere be r cm. ⠀⠀⠀ We know that, ⠀⠀⠀ $\star\;{\boxed{\sf{\purple{TSA_{\;(sphere)} = 4 \pi r^2}}}}\\ \\$ Now, Putting values, ⠀⠀⠀ $:\implies\sf 4 \cancel{\pi} r^2 = 784 \cancel{ \pi}\\ \\$ $:\implies\sf 4 \times r^2 = 784\\ \\$ $:\implies\sf r^2 = 784 \times \dfrac{1}{4}\\ \\$ $:\implies\sf r^2 = 196\\ \\$ $:\implies\sf \sqrt{r^2} = \sqrt{196}\\ \\$ $:\implies{\boxed{\sf{\pink{r = 14\;cm}}}}\;\bigstar\\ \\$ $\therefore\;{\underline{\sf{Hence,\;Radius\;of\;sphere\;is\; \bf{14\;cm}.}}}$ ⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ $\qquad\qquad\boxed{\underline{\underline{\bigstar \: \bf\:More\:to\:know\:\bigstar}}} \\ \\$ TSA of hemisphere = 3πr² CSA of hemisphere = 2πr² Volume of sphere = 4/3 πr³ Volume of hemisphere = 2/3 πr³

1.

If surface area of a sphere is 784πcm2 .Find its radius.

Answer»

ong>Given:

Surface area of SPHERE = 784 π cm²

⠀⠀⠀

To FIND:

RADIUS of sphere?

⠀━━━━━━━━━━━━━━━━━━━━━━━

Sphere is a BALL shape where the surface is the same distance from the center at all points.

⠀⠀⠀

⌬ Let radius of sphere be r cm.

⠀⠀⠀

We know that,

⠀⠀⠀

$\star\;{\boxed{\sf{\purple{TSA_{\;(sphere)} = 4 \pi r^2}}}}\\ \\$

Now, Putting values,

⠀⠀⠀

$:\implies\sf 4 \cancel{\pi} r^2 = 784 \cancel{ \pi}\\ \\$

$:\implies\sf 4 \times r^2 = 784\\ \\$

$:\implies\sf r^2 = 784 \times \dfrac{1}{4}\\ \\$

$:\implies\sf r^2 = 196\\ \\$

$:\implies\sf \sqrt{r^2} = \sqrt{196}\\ \\$

$:\implies{\boxed{\sf{\pink{r = 14\;cm}}}}\;\bigstar\\ \\$

$\therefore\;{\underline{\sf{Hence,\;Radius\;of\;sphere\;is\; \bf{14\;cm}.}}}$

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

$\qquad\qquad\boxed{\underline{\underline{\bigstar \: \bf\:More\:to\:know\:\bigstar}}} \\ \\$

TSA of hemisphere = 3πr²

CSA of hemisphere = 2πr²

Volume of sphere = 4/3 πr³

Volume of hemisphere = 2/3 πr³

Discussion

2.	Simplify (√12+√3)(√12-√3)
Answer» ONG>ANSWER: (√12+√3)(√12-√3) (√12)²-(√3)² 12-3 9

2.

Simplify (√12+√3)(√12-√3)

Answer» ONG>ANSWER:

(√12+√3)(√12-√3)

(√12)²-(√3)²

12-3

9

Discussion

3.	निम्नलिखित समीकरणों को हल कीजिए x+7 -8xbata3 =17bata6 -5xbata2
Answer» ONG>ANSWER: what is BATA ?? i did not UNDERSTAND

3.

निम्नलिखित समीकरणों को हल कीजिए x+7 -8xbata3 =17bata6 -5xbata2

Answer» ONG>ANSWER:

what is BATA ??

i did not UNDERSTAND

Discussion

4.	Find Y if D= 15 &Dy=10
Answer» ONG>Answer: 3 _ 5 is the answer plz MARK as BRAINIEST

4.

Find Y if D= 15 &Dy=10

Answer» ONG>Answer:

3

_

5 is the answer

plz MARK as BRAINIEST

Discussion

5.	.ABCD is a parallelogram.If ∠A = (4x +13)° and ∠D=(5x-22)°,then measure of ∠B is --- * 97°83°180°133°
Answer» ONG>Step-by-step explanation: 83° is the ANSWER PLEASE THANK my answer

5.

.ABCD is a parallelogram.If ∠A = (4x +13)° and ∠D=(5x-22)°,then measure of ∠B is --- * 97°83°180°133°

Answer» ONG>Step-by-step explanation:

83° is the ANSWER

PLEASE THANK my answer

Discussion

6.	Find the value of x in the following:(-3)n+1 × (-3)4= (-3)7
Answer» is the VALUE of x Step-by-step EXPLANATION: OPTION a is the ANSWER

6.

Find the value of x in the following:(-3)n+1 × (-3)4= (-3)7

Answer»

is the VALUE of x

Step-by-step EXPLANATION:

OPTION a is the ANSWER

Discussion

7.	Divide the following polynomials by synthetic division method. ( − 216 ) ÷ ( y-6)
Answer» ONG>Answer: 542 05._886-+5270 216

Discussion

8.	Choose the correct answer fill the blank 87, 56, 30, ....
Answer» ONG>Answer: 45 is the BLANK to be FILLED

8.

Choose the correct answer fill the blank 87, 56, 30, ....

Answer» ONG>Answer:

45 is the BLANK to be FILLED

Discussion

9.	Find the quadratic equation ifbone of the roots is2+
Answer» ong>Answer: For the quadratic equation if one root is 2+ 3 Other root is 2− 3 Sum of ROOTS=2+ 3 +2− 3 =4 Product of roots=(2+ 3 )(2− 3 )=4−3=1 ∴Quadratic equation is X 2 −4x+1=0 Step-by-step EXPLANATION: Hope it helps :) *FOLLOW* me *Mark* me *the* *bra*inliest

9.

Find the quadratic equation ifbone of the roots is2+

Answer»

ong>Answer:

For the quadratic equation if one root is 2+

3

Other root is 2−

3

Sum of ROOTS=2+

3

+2−

3

=4

Product of roots=(2+

3

)(2−

3

)=4−3=1

∴Quadratic equation is X

2

−4x+1=0

Step-by-step EXPLANATION:

Hope it helps :)

FOLLOW me

Mark me the brainliest

Discussion

10.	एक चतुर्भुज PORS खींचिए जिसमें PR एक विकर्ण हो तथा PQ एवं QR चतुर्भुज की संलग्न भुजाएँ हों। इस चतुर्भुज की विपरीत भुजाओं तथा संलग्न भुजाओं के युग्मों के बिंदु लिखिए।
Answer» ONG>ANSWER: I don't no this answer SORRY

Discussion

11.	Rio do those0 In which quadrant or an whichpoint bei(-3,-1) (4,2), (6,0) (-3,1)22
Answer» ONG>ANSWER: shouldn't we.? ............ . .. .. ...

11.

Rio do those0 In which quadrant or an whichpoint bei(-3,-1) (4,2), (6,0) (-3,1)22

Answer» ONG>ANSWER:

shouldn't we.?

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

.

..

...

Discussion

12.	1÷3(x+y+z) is a monomial binomial trinomial?
Answer» ONG>Answer: trinomial HOPE this answer HELPS

12.

1÷3(x+y+z) is a monomial binomial trinomial?

Answer» ONG>Answer:

trinomial

HOPE this answer HELPS

Discussion

13.	If the Coordinates of a point are (-3,4)then it line in :
Answer» ONG>ANSWER: SECOND quadrant Step-by-step explanation: second quadrant rule is (-X,y)

13.

If the Coordinates of a point are (-3,4)then it line in :

Answer» ONG>ANSWER:

SECOND quadrant

Step-by-step explanation:

second quadrant rule is (-X,y)

Discussion

14.	Point E lies on which quadrant
Answer» ong>ANSWER: what is the COORDINATE of pont E? Step-by-step EXPLANATION:

14.

Point E lies on which quadrant

Answer»

ong>ANSWER:

what is the COORDINATE of pont E?

Step-by-step EXPLANATION:

Discussion

15.	Option c is are always unequal and option d are always equal plzz solve
Answer» ONG>ANSWER: A is The Answer Step-by-step EXPLANATION: Because Both Cannot Be POSITIVE

15.

Option c is are always unequal and option d are always equal plzz solve

Answer» ONG>ANSWER:

A is The Answer

Step-by-step EXPLANATION:

Because Both Cannot Be POSITIVE

Discussion

16.	If a and b are co-prime numbers, the find the lcm of (a,b)
Answer» ong>ANSWER: If a and b are co prime then,, Lcm (a , b) = *a b Pls mark my answer as brainlist Pls FOLLOW me**

16.

If a and b are co-prime numbers, the find the lcm of (a,b)

Answer»

ong>ANSWER:

If a and b are co prime then,,

Lcm (a , b) = a * b

Pls mark my answer as brainlist

Pls FOLLOW me

Discussion

17.	2. A = Set of rational number. What*type of set is A
Answer» ong>Answer: In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.[1] Since q may be equal to 1, every integer is a rational number. The set of all rational numbers, often referred to as "the rationals", the field of rationals or the field of rational numbers is usually denoted by a boldface Q (or blackboard bold {\displaystyle \mathbb {Q} }\mathbb {Q} , Unicode /ℚ);[2][3] it was thus denoted in 1895 by Giuseppe Peano after quoziente, ITALIAN for The decimal expansion of a rational number either terminates after a finite number of digits, or begins to repeat the same finite sequence of digits over and over.[4] Moreover, any repeating or terminating decimal represents a rational number. These statements hold true not just for base 10, but also for any other integer base (e.g. binary, hexadecimal). A real number that is not rational is called irrational.[5] Irrational numbers include √2, π, e, and φ. The decimal expansion of an irrational number continues WITHOUT repeating. Since the set of rational numbers is countable, and the set of real numbers is uncountable, ALMOST all real numbers are irrational.[1] Rational numbers can be formally defined as equivalence classes of pairs of integers (p, q) with q ≠ 0, using the equivalence relation defined as follows: (p1, q1) ~ (p2, q2) if and only if p1q2 = p2q1. With this formal definition, the fraction p/q becomes the standard notation for the equivalence class of (p, q). Rational numbers together with addition and multiplication form a field which contains the integers, and is contained in any field containing the integers. In other words, the field of rational numbers is a prime field, and a field has characteristic zero if and only if it contains the rational numbers as a subfield. Finite extensions of Q are called algebraic number fields, and the algebraic closure of Q is the field of algebraic numbers.[6] In mathematical ANALYSIS, the rational numbers form a dense subset of the real numbers. The real numbers can be constructed from the rational numbers by completion, using Cauchy sequences, Dedekind cuts, or infinite DECIMALS (for more, see Construction of the real numbers).

17.

2. A = Set of rational number. What*type of set is A

Answer»

ong>Answer:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.[1] Since q may be equal to 1, every integer is a rational number. The set of all rational numbers, often referred to as "the rationals", the field of rationals or the field of rational numbers is usually denoted by a boldface Q (or blackboard bold {\displaystyle \mathbb {Q} }\mathbb {Q} , Unicode /ℚ);[2][3] it was thus denoted in 1895 by Giuseppe Peano after quoziente, ITALIAN for The decimal expansion of a rational number either terminates after a finite number of digits, or begins to repeat the same finite sequence of digits over and over.[4] Moreover, any repeating or terminating decimal represents a rational number. These statements hold true not just for base 10, but also for any other integer base (e.g. binary, hexadecimal).

A real number that is not rational is called irrational.[5] Irrational numbers include √2, π, e, and φ. The decimal expansion of an irrational number continues WITHOUT repeating. Since the set of rational numbers is countable, and the set of real numbers is uncountable, ALMOST all real numbers are irrational.[1]

Rational numbers can be formally defined as equivalence classes of pairs of integers (p, q) with q ≠ 0, using the equivalence relation defined as follows:

(p1, q1) ~ (p2, q2) if and only if p1q2 = p2q1.

With this formal definition, the fraction p/q becomes the standard notation for the equivalence class of (p, q).

Rational numbers together with addition and multiplication form a field which contains the integers, and is contained in any field containing the integers. In other words, the field of rational numbers is a prime field, and a field has characteristic zero if and only if it contains the rational numbers as a subfield. Finite extensions of Q are called algebraic number fields, and the algebraic closure of Q is the field of algebraic numbers.[6]

In mathematical ANALYSIS, the rational numbers form a dense subset of the real numbers. The real numbers can be constructed from the rational numbers by completion, using Cauchy sequences, Dedekind cuts, or infinite DECIMALS (for more, see Construction of the real numbers).

Discussion

18.	A tree casts a shadow 15 m long on the level of ground, when the angle of elevation of the sun is 45°.Find the height of the tree
Answer» ong>Step-by-step explanation: In △ABC, x h =TAN60 ∘ ⇒h=xtan60 ∘ ....(!) In △ABD, x+20 h =TAN45 ∘ ∴ x+20 xtan60 ∘ =tan45 ∘ [From EQUATION (1)] ⇒ 3 x=1×(x+20)⇒ 3 x=x+20 ⇒1.73x−x=20 ⇒x= 0.73 20 =27.39 Hence, height of tree =h=27.39× 3 =47.39 m.

18.

A tree casts a shadow 15 m long on the level of ground, when the angle of elevation of the sun is 45°.Find the height of the tree

Answer»

ong>Step-by-step explanation:

In △ABC,

x

h

=TAN60

∘

⇒h=xtan60

∘

....(!)

In △ABD,

x+20

h

=TAN45

∘

∴

x+20

xtan60

∘

=tan45

∘

[From EQUATION (1)]

⇒

3

x=1×(x+20)⇒

3

x=x+20

⇒1.73x−x=20

⇒x=

0.73

20

=27.39

Hence, height of tree =h=27.39×

3

=47.39 m.

Discussion

19.	1. What type of quadrilateral is it, whose diagonals does not intersect?
Answer» ONG>Answer: rhombus . . . hope you LIKE it

19.

1. What type of quadrilateral is it, whose diagonals does not intersect?

Answer» ONG>Answer:

rhombus

.

hope you LIKE it

Discussion

20.	Plot the points (-3,0), (2,2),(-2,-3),(2,4),(0,4)and (-1,-3) on a gragph paper
Answer» ONG>ANSWER: it is an QUADILATERAL .

20.

Plot the points (-3,0), (2,2),(-2,-3),(2,4),(0,4)and (-1,-3) on a gragph paper

Answer» ONG>ANSWER:

it is an QUADILATERAL .

Discussion

21.	A person facing north walks 3km turn left and walk 4km again walks 3km after turning right then turns right and 12km what is the displacement from the starting point and which direction he is facing ?
Answer» is ur ANSWER mate Since a person is moving towards North for 3km DIRECTION of movement - North therefore ↑North - 3km Now the person turns to walk 4km further Direction of movement - West therefore ↑North - 3km and ←West - 4km Now the person walks 3km after turning right Direction of movement - North therefore ↑North - 3km + 3km = 6km and ←West - 4km In the end the person turns right again and moves forward the 12km in EAST direction Direction of movement - East (opposite to West) Therefore ↑North - 6km and ←West - (4km - 12km) = -8km Here we get West direction in negative therefore we will replace it by East and -8km by its additive inverse i.e 8km Therefore ↑North - 6km → East - 8km Here a formation of a right TRIANGLE can be observed.... Where 8km and 6m are lengths of its legs Therefore by Applying Pythagoras theorem (Displacement)² = (Northen Displacement)² + (Eastern Displacement)² or (Displacement)² = (6km)² + (8km)² = 36km² + 64km² = 100km² or Displacement = √(100km²) = 10KM

21.

A person facing north walks 3km turn left and walk 4km again walks 3km after turning right then turns right and 12km what is the displacement from the starting point and which direction he is facing ?

Answer»

is ur ANSWER mate

Since a person is moving towards North for 3km

DIRECTION of movement - North

therefore ↑North - 3km

Now the person turns to walk 4km further

Direction of movement - West

therefore ↑North - 3km

and ←West - 4km

Now the person walks 3km after turning right

Direction of movement - North

therefore ↑North - 3km + 3km = 6km

and ←West - 4km

In the end the person turns right again and moves forward the 12km in EAST direction

Direction of movement - East (opposite to West)

Therefore ↑North - 6km

and ←West - (4km - 12km) = -8km

Here we get West direction in negative

therefore we will replace it by East and -8km by its additive inverse i.e 8km

Therefore ↑North - 6km

→ East - 8km

Here a formation of a right TRIANGLE can be observed....

Where 8km and 6m are lengths of its legs

Therefore by Applying Pythagoras theorem

(Displacement)² = (Northen Displacement)² + (Eastern Displacement)²

or (Displacement)² = (6km)² + (8km)²

= 36km² + 64km²

= 100km²

or Displacement = √(100km²)

= 10KM

Discussion

22.	In Factorise16x5-144x3
Answer» ONG>Answer: 16x 3 (X 2 −9) ⇒16x 3 (x−3)(x+3)

22.

In Factorise16x5-144x3

Answer» ONG>Answer:

16x

3

(X

2

−9)

⇒16x

3

(x−3)(x+3)

Discussion

23.	Y= 2x² +2²+ a²dy/dx =
Answer» ong>ANSWER: answer = 4x+2a hope it's help you PLEASE mark as BRILLIANT and FOLLOW me please

23.

Y= 2x² +2²+ a²dy/dx =

Answer»

ong>ANSWER:

answer = 4x+2a

hope it's help you

PLEASE mark as BRILLIANT and FOLLOW me please

Discussion

24.	Divide the following polynomials by synthetic division method. ( 3 − 216 ) ÷ ( y-6)
Answer» ONG>Answer: (3-216)/(y-6) 213/(y-6) y= -213/6 35.5 is answer IHOPE U UNDERSTAND

24.

Divide the following polynomials by synthetic division method. ( 3 − 216 ) ÷ ( y-6)

Answer» ONG>Answer:

(3-216)/(y-6)

213/(y-6)

y= -213/6

35.5 is answer

IHOPE U UNDERSTAND

Discussion

25.	When a line segment is divided into ratio 1.2 how many total parts is it divided into ?
Answer» ONG>Answer: 12 Step-by-step EXPLANATION:

25.

When a line segment is divided into ratio 1.2 how many total parts is it divided into ?

Answer» ONG>Answer:

12

Step-by-step EXPLANATION:

Discussion

26.	09) The cube of a number a) is always +veb) is always -vec) can be +ve or -ved) can never be zero
Answer» ONG>ANSWER: CORRECT answer is OPTION a

Discussion

27.	Subtract (x+y) from 3x-4y +7z.
Answer» ong>Answer: (3x-4y+7z)-(x+y) Step-by-step EXPLANATION: hope it will help u PLZ FOLLOW me and mark brainliest ans

27.

Subtract (x+y) from 3x-4y +7z.

Answer»

ong>Answer:

(3x-4y+7z)-(x+y)

Step-by-step EXPLANATION:

hope it will help u

PLZ FOLLOW me

and mark brainliest ans

Discussion

28.	What should be added to 4/9 to give -5/18
Answer» ONG>Answer: -13/18 Step-by-step explanation: Let the required number be X. ==: 4/9 + x = -5/18 ==: x = -5/18 - 4/9 ==: x = -5/18 - 8/18 ==: x = -13/18 Pls MARK my answer as brainlist Pls FOLLOW me

28.

What should be added to 4/9 to give -5/18

Answer» ONG>Answer:

-13/18

Step-by-step explanation:

Let the required number be X.

==: 4/9 + x = -5/18

==: x = -5/18 - 4/9

==: x = -5/18 - 8/18

==: x = -13/18

Pls MARK my answer as brainlist

Pls FOLLOW me

Discussion

29.	Find the smallest number by which 400 must be multiplied to get a perfect cube
Answer» ong>ANSWER: It should be MULTIPLIED by 2 * 2 * 5 = 50 Step-by-step explanation: ==: 400 = 2 * 2 * 2 * 2 * 5 * 5 ==: ∛400 = ∛2 * 2 * 2 * 2 * 5 * 5 ==: ∛400 = 2 ∛2 * 5 * 5 Hence it should be multiplied by 2 * 2 * 5 = 50 Pls MARK my answer as brainlist Pls FOLLOW me

29.

Find the smallest number by which 400 must be multiplied to get a perfect cube

Answer»

ong>ANSWER:

It should be MULTIPLIED by 2 * 2 * 5 = 50

Step-by-step explanation:

==: 400 = 2 * 2 * 2 * 2 * 5 * 5

==: ∛400 = ∛2 * 2 * 2 * 2 * 5 * 5

==: ∛400 = 2 ∛2 * 5 * 5

Hence it should be multiplied by 2 * 2 * 5 = 50

Pls MARK my answer as brainlist

Pls FOLLOW me

Discussion

30.	A juice stand sells lemonade for $2 per cup and orange juice for $3 per cup. The juice stand sells a total of 100 cups of juice for $240. Write and solve a system of linear equations to find the number of cups of lemonade and the number of cups of orange sold. Help plez....
Answer» ong>Answer: LET lemonade be X therefore ORANGE 100-x therefore 2x + 3(100 - x) = 240 2x + 300 - 3X = 240 x = 60 100-x = 40 mark brainliest PLS T-T

30.

A juice stand sells lemonade for $2 per cup and orange juice for $3 per cup. The juice stand sells a total of 100 cups of juice for $240. Write and solve a system of linear equations to find the number of cups of lemonade and the number of cups of orange sold. Help plez....

Answer»

ong>Answer:

LET lemonade be X

therefore ORANGE 100-x

therefore

2*x + 3*(100 - x) = 240

2x + 300 - 3X = 240

x = 60

100-x = 40

mark brainliest PLS T-T

Discussion

31.	Find Y if D= 15 & Dy =10
Answer» ong>Answer: 2D + 25 = 25/2 y= 12.5 plz RATE and LIKE my answer

31.

Find Y if D= 15 & Dy =10

Answer»

ong>Answer:

2D + 25 = 25/2 y= 12.5 plz RATE and LIKE my answer

Discussion

32.	Write four rational number from the following -1\4, -2\, -3\12
Answer» ONG>Answer: -1/4,-2/8,-3/12,-4/16 Step-by-step EXPLANATION: itsnot EASY THINK abt it

32.

Write four rational number from the following -1\4, -2\, -3\12

Answer» ONG>Answer:

-1/4,-2/8,-3/12,-4/16

Step-by-step EXPLANATION:

itsnot EASY THINK abt it

Discussion

33.	A quadrilateral has three accute angle each measuring 70 degree , find the measure of the forth angle is options a) 70 degreeb) 85 degree c) 120 degree d) 150 degreepls answer it fast it's very urgent pls
Answer» ONG>ANSWER: I not UNDERSTAND this QUESTION

Discussion

34.	The Squareof a number increasedProducts as 3 times the Number
Answer» ONG>Answer: sorry Step-by-step explanation: EITHER question is not completed or SOMETHING is RONG here

34.

The Squareof a number increasedProducts as 3 times the Number

Answer» ONG>Answer:

sorry

Step-by-step explanation:

EITHER question is not completed or SOMETHING is RONG here

Discussion

35.	1heсtare =.metre square
Answer» ong>Answer: 10000 METRE square Step-by-step explanation: unit of AREA in the metric SYSTEM equal to 100 ares, or 10,000 square metres,

35.

1heсtare =.metre square

Answer»

ong>Answer:

10000 METRE square

Step-by-step explanation:

unit of AREA in the metric SYSTEM equal to 100 ares, or 10,000 square metres,

Discussion

36.	2) Write an equation of the following statement: The sumof y and 4 is 9
Answer» ong>ANSWER: y+4=9 *PLS* *MARK* ME AS *THE* *BRAINLIEST* *AND* *FOLLOW* ME *PLS* ....

36.

2) Write an equation of the following statement: The sumof y and 4 is 9

Answer»

ong>ANSWER:

y+4=9

PLS MARK ME AS THE BRAINLIEST AND FOLLOW ME PLS ....

Discussion

37.	Calculate the no. of moles in 0.31 g of sodium oxide
Answer» ong>Step-by-step explanation: The molecular mass of natrium OXIDE is 61.98 g ⋅ m o l − 1 . If 5 m o l natrium react, then 5 2 m o l × 61.98 g ⋅ m o l − 1 = 154.95 g natrium oxide should result. So what have I DONE here? First, I had a balanced chemical equation (this is the important step; is it balanced?). Then I used the stoichiometry to get the MOLAR quantity of product, and converted this molar quantity to mass. If this is not clear, I am willing to have another go.

37.

Calculate the no. of moles in 0.31 g of sodium oxide

Answer»

ong>Step-by-step explanation:

The molecular mass of natrium OXIDE is

61.98

g

⋅

m

o

l

−

1

. If

5

m

o

l

natrium react, then

5

2

m

o

l

×

61.98

g

⋅

m

o

l

−

1

=

154.95

g

natrium oxide should result.

So what have I DONE here? First, I had a balanced chemical equation (this is the important step; is it balanced?). Then I used the stoichiometry to get the MOLAR quantity of product, and converted this molar quantity to mass. If this is not clear, I am willing to have another go.

Discussion

38.	Solve 2x - 3/4y = 3 and 5x – 2y = 7 using elimination method.
Answer» ong>Answer: here it is Step-by-step explanation: respectively. Step-by-step explanation: Equation 1 :\frac{2x-3y}{4}= 3 4 2x−3y =3 2x-3y= 122x−3y=12 Equation 2 : 5x = 2Y + 75x=2y+7 5x-2y=75x−2y=7 Plot the both equations on the graph 2x-3y= 122x−3y=12 -- Green line 5x-2y=75x−2y=7 -- Purple line The point of intersection will provide the solution. So, Intersection point = (-0.273,-4.182) Hence The value of x and y is -0.273 and -4.182 respectively. pls MARK me as brilliant

38.

Solve 2x - 3/4y = 3 and 5x – 2y = 7 using elimination method.

Answer»

ong>Answer:

here it is

Step-by-step explanation:

respectively.

Step-by-step explanation:

Equation 1 :\frac{2x-3y}{4}= 3

4

2x−3y

=3

2x-3y= 122x−3y=12

Equation 2 : 5x = 2Y + 75x=2y+7

5x-2y=75x−2y=7

Plot the both equations on the graph

2x-3y= 122x−3y=12 -- Green line

5x-2y=75x−2y=7 -- Purple line

The point of intersection will provide the solution.

So, Intersection point = (-0.273,-4.182)

Hence The value of x and y is -0.273 and -4.182 respectively.

pls MARK me as brilliant

Discussion

39.	Prove root 3 is irrational
Answer» the attachment Step-by-step EXPLANATION: PLEASE MARK as BRAINLIEST

39.

Prove root 3 is irrational

Answer»

the attachment

Step-by-step EXPLANATION:

PLEASE MARK as BRAINLIEST

Discussion

40.	((81/16)×{25/9)÷(5)2)
Answer» ER-: =45/32 =1.40625

40.

((81/16)×{25/9)÷(5)2)

Answer» ER-:

=45/32

=1.40625

Discussion

41.	If SP of an article at loss of 30% is Rs 42 the CP of article is
Answer» align="absmiddle" alt="\sf{\bold{\GREEN{\UNDERLINE{\underline{Given}}}}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Csf%7B%5Cbold%7B%5Cgreen%7B%5Cunderline%7B%5Cunderline%7BGiven%7D%7D%7D%7D%7D%20" title="\sf{\bold{\green{\underline{\underline{Given}}}}}"> Selling Price = Rs. 42 loss = 30% ______________________ $\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$ Cost price = ?? ______________________ $\sf{\bold{\green{\underline{\underline{Solution}}}}}$ ⠀⠀⠀⠀ $\sf{\red{\boxed{\bold{Cost\: price = \dfrac{100}{100-loss}\times SP}}}}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ CP = \dfrac{100}{70} \times 42 }}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ CP = \dfrac{10}{7} \times 42 }}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ CP = 10 \times 6 }}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ CP = Rs. 60 }}$ ⠀⠀⠀⠀ ⠀⠀⠀⠀ ______________________ $\sf{\bold{\green{\underline{\underline{Answer}}}}}$ Cost price of an article = Rs. 60 ⠀⠀⠀⠀ Verification :- ⠀⠀ $\sf{\red{\boxed{\bold{Loss = CP - SP}}}}$ ⠀⠀⠀⠀ loss = 60 - 42 ⠀⠀⠀⠀ loss = Rs. 18 ⠀⠀⠀⠀ $\sf{\red{\boxed{\bold{loss\% = \dfrac{loss}{CP}\times 100}}}}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ loss\% = \dfrac{18}{60} \times 100 }}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ loss\% = \dfrac{18}{6} \times 10 }}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ loss\% = 3 \times 10}}$ ⠀⠀⠀⠀ $\sf:\implies \: {\bold{ loss\% = <klux>30</klux>\% }}$ ⠀⠀⠀⠀ ....Hence Verified

41.

If SP of an article at loss of 30% is Rs 42 the CP of article is

Answer»

align="absmiddle" alt="\sf{\bold{\GREEN{\UNDERLINE{\underline{Given}}}}}" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=%5Csf%7B%5Cbold%7B%5Cgreen%7B%5Cunderline%7B%5Cunderline%7BGiven%7D%7D%7D%7D%7D%20" title="\sf{\bold{\green{\underline{\underline{Given}}}}}">

Selling Price = Rs. 42
loss = 30%

______________________

$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

Cost price = ??

______________________

$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{Cost\: price = \dfrac{100}{100-loss}\times SP}}}}$

⠀⠀⠀⠀

$\sf:\implies \: {\bold{ CP = \dfrac{100}{70} \times 42 }}$

⠀⠀⠀⠀

$\sf:\implies \: {\bold{ CP = \dfrac{10}{7} \times 42 }}$

⠀⠀⠀⠀

$\sf:\implies \: {\bold{ CP = 10 \times 6 }}$

⠀⠀⠀⠀

$\sf:\implies \: {\bold{ CP = Rs. 60 }}$

⠀⠀⠀⠀

______________________

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

Cost price of an article = Rs. 60

⠀⠀⠀⠀

Verification :-

⠀⠀

$\sf{\red{\boxed{\bold{Loss = CP - SP}}}}$

⠀⠀⠀⠀

loss = 60 - 42

⠀⠀⠀⠀

loss = Rs. 18

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{loss\% = \dfrac{loss}{CP}\times 100}}}}$

⠀⠀⠀⠀

$\sf:\implies \: {\bold{ loss\% = \dfrac{18}{60} \times 100 }}$

⠀⠀⠀⠀

$\sf:\implies \: {\bold{ loss\% = \dfrac{18}{6} \times 10 }}$

⠀⠀⠀⠀

$\sf:\implies \: {\bold{ loss\% = 3 \times 10}}$

⠀⠀⠀⠀

$\sf:\implies \: {\bold{ loss\% = <klux>30</klux>\% }}$

⠀⠀⠀⠀

....Hence Verified

Discussion

42.	cost of wheats is directly proportional to it's weight. if cost of 5kg wheats is 225then find the cost of 1quintal wheats
Answer» ONG>ANSWER: Rs.4500 Step-by-step EXPLANATION:

42.

cost of wheats is directly proportional to it's weight. if cost of 5kg wheats is 225then find the cost of 1quintal wheats

Answer» ONG>ANSWER:

Rs.4500

Step-by-step EXPLANATION:

Discussion

43.	tailor bought 12peaces of clothes .each measuring 2\5mater. he stiched two curtain to each measuring 2 1\8 meter .calculate the length of remaining clothe
Answer» llllllllllllllllllßgjkiyfdv

Discussion

44.	Solve using cross multiplication: 4x – 7y +28 = 07x – 5y – 9 = 0
Answer» ONG>ANSWER: This is the answer in your QUESTION mark me as BRAINLIEST answer

Discussion

45.	Point Q.N.35 a trapezium has:a. One pair of opposite sides parallelb. Two pair of opposite sides parallel to each otherc. All its sides are equald. All angles are equal
Answer» his is the ANSWER jhhdh

45.

Point Q.N.35 a trapezium has:a. One pair of opposite sides parallelb. Two pair of opposite sides parallel to each otherc. All its sides are equald. All angles are equal

Answer»

his is the ANSWER jhhdh

Discussion

46.	Plz give me solutions solve the D ONE
Answer» ong>SOLUTION for (c) PART LHS $\large\sf { \frac{1+ sin \theta }{ cos \theta} + \frac{ cos \theta}{ 1 + sin \theta}}$ $\large\sf { = \frac{(1+sin \theta)^{2} + cos^{2}}{cos \theta (1+ sin \theta}}$ $\large\sf { = \frac{ 1+ ( sin^{2} \theta + cos^{2} \theta) + 2 \ sin \theta}{ cos \theta (1+ sin \theta)}}$ $\large\sf { = \frac{2( 1 + sin \theta)}{ cos \theta ( 1 + sin \theta}}$ $\large\sf { = 2 sec \theta}$ $\large\rm{ \therefore }$ LHS = RHS Solution for (d) part ( for fig. refer to Attachment) given height of tower $\large\sf { CD = 50 m}$ let the height of building , $\large\sf { AB = h}$ in RIGHT angled $\large\sf { \triangle BDC}$ , $\large\sf { tan \ 60^{ \circ} = \frac{CD}{BD}}$ $\large\sf { \implies \sqrt{3} = \frac{50}{BD}}$ $\large\sf { \therefore BD = \frac{50}{ \sqrt{3}} m }$ In right angled △ABD, $\large\sf { tan \ 30^{ \circ} = \frac{AB}{BD}}$ $\large\sf { = \frac{1}{ \sqrt{3}} = \frac{h}{ \frac{50}{\sqrt{3}}} }$ $\large\sf { \therefore h = \frac{50}{3}}$ $\large\sf{ h = 16.66 m}$

46.

Plz give me solutions solve the D ONE

Answer»

ong>SOLUTION for (c) PART

LHS

$\large\sf { \frac{1+ sin \theta }{ cos \theta} + \frac{ cos \theta}{ 1 + sin \theta}}$

$\large\sf { = \frac{(1+sin \theta)^{2} + cos^{2}}{cos \theta (1+ sin \theta}}$

$\large\sf { = \frac{ 1+ ( sin^{2} \theta + cos^{2} \theta) + 2 \ sin \theta}{ cos \theta (1+ sin \theta)}}$

$\large\sf { = \frac{2( 1 + sin \theta)}{ cos \theta ( 1 + sin \theta}}$

$\large\sf { = 2 sec \theta}$

$\large\rm{ \therefore }$ LHS = RHS

Solution for (d) part ( for fig. refer to Attachment)

given height of tower $\large\sf { CD = 50 m}$

let the height of building , $\large\sf { AB = h}$

in RIGHT angled $\large\sf { \triangle BDC}$ ,

$\large\sf { tan \ 60^{ \circ} = \frac{CD}{BD}}$

$\large\sf { \implies \sqrt{3} = \frac{50}{BD}}$

$\large\sf { \therefore BD = \frac{50}{ \sqrt{3}} m }$

In right angled △ABD,

$\large\sf { tan \ 30^{ \circ} = \frac{AB}{BD}}$

$\large\sf { = \frac{1}{ \sqrt{3}} = \frac{h}{ \frac{50}{\sqrt{3}}} }$

$\large\sf { \therefore h = \frac{50}{3}}$

$\large\sf{ h = 16.66 m}$

Discussion

47.	व्हाट टाइप ऑफ़ क्वाड्रीलेटरल इज इट यूज़ डायगोनल डस नॉट इंटरसेक्ट
Answer» ong>Step-by-step explanation: What TYPE of QUADRILATERAL is it USING diagonal does not INTERSECT

47.

व्हाट टाइप ऑफ़ क्वाड्रीलेटरल इज इट यूज़ डायगोनल डस नॉट इंटरसेक्ट

Answer»

ong>Step-by-step explanation:

What TYPE of QUADRILATERAL is it USING diagonal does not INTERSECT

Discussion

48.	Write vector form of laws of gravitation
Answer» ong>Answer: NEWTON's Law of Gravitation states that everybody in this UNIVERSE attracts every other body with a force which is directly proportional to the product of their MASSES and is inversely proportional to the square of the distance between them. →F12=−Gm1m2r2^r21. Step-by-step explanation: i think my ans. is helpful to u PLZ GIVE me brainliest mark and follow me

48.

Write vector form of laws of gravitation

Answer»

ong>Answer:

NEWTON's Law of Gravitation states that everybody in this UNIVERSE attracts every other body with a force which is directly proportional to the product of their MASSES and is inversely proportional to the square of the distance between them. →F12=−Gm1m2r2^r21.

Step-by-step explanation:

i think my ans. is helpful to u

PLZ GIVE me brainliest mark and follow me

Discussion

49.	The length of diagonal of a square is 17√2. then find its perimeter.
Answer» ONG>ANSWER: side square pls MARK me as the brainliest answer

49.

The length of diagonal of a square is 17√2. then find its perimeter.

Answer» ONG>ANSWER:

side square

pls MARK me as the brainliest answer

Discussion

50.	Pawan medical supplies medicines on some medicines the rate of GST is 18%then what is CGSTand UTGST
Answer» ONG>Answer: GST IS 18%THEN CGST AND UTGST 90 %

Discussion

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______________________

______________________

______________________

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व्हाट टाइप ऑफ़ क्वाड्रीलेटरल इज इट यूज़ डायगोनल डस नॉट इंटरसेक्ट

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