332354 + Interview Questions in Secondary School in Math

1.	The arithmetic mean between a and b is twice the geometric mean between a and b. Prove that a/b=7+4*3^1/2
Answer» 7+12^1/2 19^1/2 19/2 1/2*9

1.

The arithmetic mean between a and b is twice the geometric mean between a and b. Prove that a/b=7+4*3^1/2

Answer»

7+12^1/2

19^1/2

19/2

1/2*9

Discussion

2.	If x = (1 + √2 + √3) Then Find the value of 2x⁴ - 8x³ - 5x² +26x - 28.Given Options Are :1 ) √62 ) 2√33 ) 3√24 ) 6√6
Answer» ANSWER : $\underline{\bigstar\:\textsf{According to the Question Now :}}$ $:\implies\tt x = 1+\sqrt{2}+\sqrt{3}\\\\\\:\implies\tt x-1=\sqrt{2}+\sqrt{3}\\\\{\scriptsize\qquad\bf{\dag}\:\textsf{Squaring Both Sides}}\\\\:\implies\tt (x-1)^2=(\sqrt{2}+\sqrt{3})^2\\\\\\:\implies\tt x^2+1^2-(2.x.1)=(\sqrt{2})^2+(\sqrt{3})^2+(2.\sqrt{2}.\sqrt{3})\\\\\\:\implies\tt x^2+1-2x=2+3+2\sqrt{6}\\\\\\:\implies\tt x^2-2x-4=2\sqrt{6}\qquad\dfrac{\qquad}{}eq.(1)\\\\{\scriptsize\qquad\bf{\dag}\:\textsf{Squaring Both Sides}}\\\\:\implies\tt (x^2-2x-4)^2=(2\sqrt{6})^2\\$ $\\:\implies\tt (x^2)^2+(-2x)^2+(-4)^2+2[(x^2.-2x)+(-2x.-4)+(-4.x^2)]=(2.2.6)\\\\\\:\implies\tt x^4+4x^2+16+2[-2x^3+8x-4x^2]=24\\\\\\:\implies\tt x^4+4x^2+16-4x^3+16x-8x^2-24=0\\\\\\:\implies\tt x^4-4x^3-4x^2+16x-8=0\\\\{\scriptsize\qquad\bf{\dag}\:\textsf{Multiplying by 2 Both Sides}}\\\\:\implies\tt 2x^4-8x^3-8x^2+32x-16=0\\\\\\:\implies\tt2x^4-8x^3-5x^2-3x^2+26x+6x-16-12+12=0\\\\\\:\implies\tt(2x^4-8x^3-5x^2+26x-28)-3x^2+6x+12=0\\\\\\:\implies\tt2x^4-8x^3-5x^2+26x-28=3x^2-6x+12\\$ $\\:\implies\tt2x^4-8x^3-5x^2+26x-28=3(x^2-2x+4)\\\\{\scriptsize\qquad\bf{\dag}\:\textsf{Putting the value from eq.(1)}}\\\\:\implies\tt2x^4-8x^3-5x^2+26x-28=3(2\sqrt{6})\\\\\\:\implies\boxed{\tt2x^4-8x^3-5x^2+26x-28=6\sqrt{6}}$ ⠀ $\therefore\:\underline{\textsf{Required Value of the equation is \textbf{6$\sqrt{ \textbf6}$}}}$

2.

If x = (1 + √2 + √3) Then Find the value of 2x⁴ - 8x³ - 5x² +26x - 28.Given Options Are :1 ) √62 ) 2√33 ) 3√24 ) 6√6

Answer»

ANSWER :

$\underline{\bigstar\:\textsf{According to the Question Now :}}$

$:\implies\tt x = 1+\sqrt{2}+\sqrt{3}\\\\\\:\implies\tt x-1=\sqrt{2}+\sqrt{3}\\\\{\scriptsize\qquad\bf{\dag}\:\textsf{Squaring Both Sides}}\\\\:\implies\tt (x-1)^2=(\sqrt{2}+\sqrt{3})^2\\\\\\:\implies\tt x^2+1^2-(2.x.1)=(\sqrt{2})^2+(\sqrt{3})^2+(2.\sqrt{2}.\sqrt{3})\\\\\\:\implies\tt x^2+1-2x=2+3+2\sqrt{6}\\\\\\:\implies\tt x^2-2x-4=2\sqrt{6}\qquad\dfrac{\qquad}{}eq.(1)\\\\{\scriptsize\qquad\bf{\dag}\:\textsf{Squaring Both Sides}}\\\\:\implies\tt (x^2-2x-4)^2=(2\sqrt{6})^2\\$

$\\:\implies\tt (x^2)^2+(-2x)^2+(-4)^2+2[(x^2.-2x)+(-2x.-4)+(-4.x^2)]=(2.2.6)\\\\\\:\implies\tt x^4+4x^2+16+2[-2x^3+8x-4x^2]=24\\\\\\:\implies\tt x^4+4x^2+16-4x^3+16x-8x^2-24=0\\\\\\:\implies\tt x^4-4x^3-4x^2+16x-8=0\\\\{\scriptsize\qquad\bf{\dag}\:\textsf{Multiplying by 2 Both Sides}}\\\\:\implies\tt 2x^4-8x^3-8x^2+32x-16=0\\\\\\:\implies\tt2x^4-8x^3-5x^2-3x^2+26x+6x-16-12+12=0\\\\\\:\implies\tt(2x^4-8x^3-5x^2+26x-28)-3x^2+6x+12=0\\\\\\:\implies\tt2x^4-8x^3-5x^2+26x-28=3x^2-6x+12\\$

$\\:\implies\tt2x^4-8x^3-5x^2+26x-28=3(x^2-2x+4)\\\\{\scriptsize\qquad\bf{\dag}\:\textsf{Putting the value from eq.(1)}}\\\\:\implies\tt2x^4-8x^3-5x^2+26x-28=3(2\sqrt{6})\\\\\\:\implies\boxed{\tt2x^4-8x^3-5x^2+26x-28=6\sqrt{6}}$

⠀

$\therefore\:\underline{\textsf{Required Value of the equation is \textbf{6$\sqrt{ \textbf6}$}}}$

Discussion

3.	A tennis racket is on sale for 650.75 a box of six balls cost 110.5 is the same sale how much will both cost
Answer» Answer: Step-by-step explanation: Let tennis racket = x Let SIX BALLS = 6y Cost of tennis racket = ₹650.75 Cost of six balls = ₹110.5 Total cost = 650.75 + 110.5 = ₹ 761.25 According to the problem, x + 6y = 761.25 IF IT HELPS, PLS MARK IT AS BRAINLIEST ANSWER

3.

A tennis racket is on sale for 650.75 a box of six balls cost 110.5 is the same sale how much will both cost

Answer»

Answer:

Step-by-step explanation:

Let tennis racket = x

Let SIX BALLS = 6y

Cost of tennis racket = ₹650.75

Cost of six balls = ₹110.5

Total cost = 650.75 + 110.5

= ₹ 761.25

According to the problem,

x + 6y = 761.25

IF IT HELPS, PLS MARK IT AS BRAINLIEST ANSWER

Discussion

4.	Length of one side of a square is 5 cm . what is the length of all the sides of square
Answer» Answer: 5 Step-by-step explanation: because all the SIDES of square are EQUAL for EXAMPLE in a square ABCD AB = BC = CD= DA

4.

Length of one side of a square is 5 cm . what is the length of all the sides of square

Answer»

Answer:

5

Step-by-step explanation:

because all the SIDES of square are EQUAL

for EXAMPLE in a square ABCD

AB = BC = CD= DA

Discussion

5.	Sir/Mam in Real Numbers chapter in the question" Use Euclid’s division lemma to show that the cube of any positive integer is of the form9m, 9m + 1 or 9m +8" why we take 3 as the value.
Answer» ANSWER: ■●■In proving this QUESTION we take 3 as[ (b=3) in bq+r ] the value because: ◇taking b=9 will be too long to solve because we will have to solve all 9 cases where r=0,1,2,3,4,5,6,7,8. ◇ CUBE of expressions of the FORM 3q,3q+1,3q+2 are easily divided by 9 leaving simple remainders. For example: ♤(3q)^3=27q^3= 9(3q^3) = 9m ♤(3q+1)^3 = 27q^3 +1 +27q^2+ 9q =9(3q^3 +3q^2 +q) +1 =9m+1 ♤ (3q+2)^3=27q^3 +8 +54 q^2 +36q =9(3q^3 + 6q^2+4q) +8 = 9m+8. Ask for further EXPLANATION; if any.

5.

Sir/Mam in Real Numbers chapter in the question" Use Euclid’s division lemma to show that the cube of any positive integer is of the form9m, 9m + 1 or 9m +8" why we take 3 as the value.

Answer»

ANSWER:

■●■In proving this QUESTION we take 3 as[ (b=3) in bq+r ] the value because:

◇taking b=9 will be too long to solve because we will have to solve all 9 cases where r=0,1,2,3,4,5,6,7,8.

◇ CUBE of expressions of the FORM

3q,3q+1,3q+2 are easily divided by 9 leaving simple remainders.

For example:

♤(3q)^3=27q^3= 9(3q^3) = 9m

♤(3q+1)^3 = 27q^3 +1 +27q^2+ 9q

=9(3q^3 +3q^2 +q) +1

=9m+1

♤ (3q+2)^3=27q^3 +8 +54 q^2 +36q

=9(3q^3 + 6q^2+4q) +8

= 9m+8.

Ask for further EXPLANATION; if any.

Discussion

6.	if 75 persons can sleep in a room 25m by 10m. if each person requires 20m3 of air. find the height of the room
Answer» ANSWER: air in room = volume of room air required by 75 persons = 20×75 = 1500 m^3 dimensions of room => 25 , 10 and x. (x=height) volume = 25×10× x volume = 250x 1500 /250 = x => x= 6 => height of the room 6 m Hope it helps Byyy.......;

6.

if 75 persons can sleep in a room 25m by 10m. if each person requires 20m3 of air. find the height of the room

Answer»

ANSWER:

air in room = volume of room

air required by 75 persons = 20×75

= 1500 m^3

dimensions of room

=> 25 , 10 and x. (x=height)

volume = 25×10× x

volume = 250x

1500 /250 = x

=> x= 6

=> height of the room 6 m

Hope it helps

Byyy.......;

Discussion

7.	if a shopkeeper sells 5lemons cost rupees 14 and earns a profit of 40% then find the cost price of 1 dozen lemon which he bought
Answer» ANSWER: 24 RUPEES is the answer

7.

if a shopkeeper sells 5lemons cost rupees 14 and earns a profit of 40% then find the cost price of 1 dozen lemon which he bought

Answer»

ANSWER:

24 RUPEES is the answer

Discussion

8.	If radius is 14cm then it's diameter is_
Answer» ANSWER: DIAMETER is 28 cm. Step-by-step EXPLANATION: hope it's help you

8.

If radius is 14cm then it's diameter is_

Answer»

ANSWER:

DIAMETER is 28 cm.

Step-by-step EXPLANATION:

hope it's help you

Discussion

9.	थॉमस एक कार्य को 80 दिन में पूरा कर सकता है वह इस कार्य पर 10 दिन कार्य करता है अजय अकेले शेष कार्य को 42 दिन में पूरा कर सकता है दोनों मिलकर कार्य को कितने दिन में पूरा कर लेंगे24 दिन25 दिन30 दिन35 दिन
Answer» ANSWER: MAY be 35 days Step-by-step explanation: MARK as brainliest

9.

थॉमस एक कार्य को 80 दिन में पूरा कर सकता है वह इस कार्य पर 10 दिन कार्य करता है अजय अकेले शेष कार्य को 42 दिन में पूरा कर सकता है दोनों मिलकर कार्य को कितने दिन में पूरा कर लेंगे24 दिन25 दिन30 दिन35 दिन

Answer»

ANSWER:

MAY be 35 days

Step-by-step explanation:

MARK as brainliest

Discussion

10.	2×2×6×6×7×7×6×7×7×7
Answer» ANSWER: 421616807 1,45,21,248 therefore the answer is =1,45,21,248 Step-by-step explanation: Hope it hepls you please mark it as brainliest✌

10.

2×2×6×6×7×7×6×7×7×7

Answer»

ANSWER:

4*216*16807
1,45,21,248

therefore the answer is =1,45,21,248

Step-by-step explanation:

Hope it hepls you

please mark it as brainliest✌

Discussion

11.	2 x minus 6 Y is equal to 3 if the value of x is -3 what is the value of Y
Answer» ANSWER: $y = \frac{ - 3}{2}$ Step-by-step EXPLANATION: $given \: that \\ 2x - 6y = 3 \\ \\ value \: of \: x \: = - 3 \\ 2( - 3) - 6y = 3 \\ - 6 - 6y = 3 \\ - 6y = 3 + 6 \\ - 6y = 9 \\ y = \frac{9}{ - 6} \\ y = \frac { - 3}{2}$ PLEASE MARK IT BRAINILIEST

11.

2 x minus 6 Y is equal to 3 if the value of x is -3 what is the value of Y

Answer»

ANSWER:

$y = \frac{ - 3}{2}$

Step-by-step EXPLANATION:

$given \: that \\ 2x - 6y = 3 \\ \\ value \: of \: x \: = - 3 \\ 2( - 3) - 6y = 3 \\ - 6 - 6y = 3 \\ - 6y = 3 + 6 \\ - 6y = 9 \\ y = \frac{9}{ - 6} \\ y = \frac { - 3}{2}$

PLEASE MARK IT BRAINILIEST

Discussion

12.	The sum of a number and its reciprocal is 5/2 Represent this situation as
Answer» ANSWER: if the NUMBER is 2/5 it RECIPROCAL WOULD be 5/2 if they are ADDED = 2/5+5/2 = 2.9

12.

The sum of a number and its reciprocal is 5/2 Represent this situation as

Answer»

ANSWER:

if the NUMBER is 2/5 it RECIPROCAL WOULD be 5/2

if they are ADDED

= 2/5+5/2

= 2.9

Discussion

13.	1 . to construct a unique parallelogram,the minimum number of measurements required is______.2. The value of (6-¹ - 8-¹) is ____3 . No. of cubes of side 3 cm that can be cut from a cuboid of dimensions 12cm×9 cm × 6cm is ____.4 . Value of 33²-27² is ___
Answer» Ⓗⓔⓨ ⓜⓐⓣⓔ ⓗⓔⓡⓔ ⓐⓡⓔ ⓨⓞⓤⓡ ⓐⓝⓢⓦⓔⓡⓢ- 1. 3(There is no explanation) 2. 1/24 3. 24 4. 360 Step-by-step explanation: Explanations 2,3,4 in the PHOTO attached.

13.

1 . to construct a unique parallelogram,the minimum number of measurements required is____.2. The value of (6-¹ - 8-¹) is 3 . No. of cubes of side 3 cm that can be cut from a cuboid of dimensions 12cm×9 cm × 6cm is .4 . Value of 33²-27² is _

Answer»

Ⓗⓔⓨ ⓜⓐⓣⓔ ⓗⓔⓡⓔ ⓐⓡⓔ ⓨⓞⓤⓡ ⓐⓝⓢⓦⓔⓡⓢ-

1. 3(There is no explanation)

2. 1/24

3. 24

4. 360

Step-by-step explanation:

Explanations 2,3,4 in the PHOTO attached.

Discussion

14.	The diameter of two silver discs are in the ratio of 2:3 . what will be the ratio of their areas.
Answer» Answer:22/4327.75 Step-by-step EXPLANATION:

14.

The diameter of two silver discs are in the ratio of 2:3 . what will be the ratio of their areas.

Answer»

Answer:22/4327.75

Step-by-step EXPLANATION:

Discussion

15.	Find the length of the longest pole that can be placed in a room of dimension 10m×10m×5m .
Answer» ★ Question find the LENGTH of the LONGEST pole that can be placed in a room of dimension 10m×10m×5m . ★ Answer ↪concept : The longest pole that can be put in the CUBOID will be the the longest diagonal of a cuboid. diagonal of cuboid $= \sqrt{l {}^{2} + h {}^{2} + b {}^{2} }$ the longest pole that can be placed in room = diagonal of room $= \sqrt{10 {}^{2} + 10 {}^{2} + 5 {}^{2} }$ $= \sqrt{100 + 100 + 25}$ $= \sqrt{225}$ $= 15 \: m$ therefore ;the length of the longest pole that can be placed in a room of dimension 10m×10m×5m is 15 m. Follow me mark answer as BRAINLIST

15.

Find the length of the longest pole that can be placed in a room of dimension 10m×10m×5m .

Answer»

★ Question

find the LENGTH of the LONGEST pole that can be placed in a room of dimension 10m×10m×5m .

★ Answer

↪concept :

The longest pole that can be put in the CUBOID will be the the longest diagonal of a cuboid.

diagonal of cuboid

$= \sqrt{l {}^{2} + h {}^{2} + b {}^{2} }$

the longest pole that can be placed in room

= diagonal of room

$= \sqrt{10 {}^{2} + 10 {}^{2} + 5 {}^{2} }$

$= \sqrt{100 + 100 + 25}$

$= \sqrt{225}$

$= 15 \: m$

therefore ;the length of the longest pole that can be placed in a room of dimension 10m×10m×5m

is 15 m.

Follow me

mark answer as BRAINLIST

Discussion

16.	The place value of 3 in 27.638 is
Answer» ANSWER: the PLACE of 3 is TENTH.

16.

The place value of 3 in 27.638 is

Answer»

ANSWER:

the PLACE of 3 is TENTH.

Discussion

17.	The sum of 0.70+0.71+0.72+ ....+ to 50 terms is
Answer» ANSWER: Answer is in the ATTACHMENT.

17.

The sum of 0.70+0.71+0.72+ ....+ to 50 terms is

Answer»

ANSWER:

Answer is in the ATTACHMENT.

Discussion

18.	Men 5 can do work in 15 days then how many days require for 1 men?
Answer» Answer: 5 can do WORK in 15 DAYS 1 can do the work in 15× 5 = 75 days

18.

Men 5 can do work in 15 days then how many days require for 1 men?

Answer»

Answer:

5 can do WORK in 15 DAYS

1 can do the work in 15× 5

= 75 days

Discussion

19.	Gauri, the youngest one at home, was playing with a pack of cards. She lost a card. Later on, two cards were drawn at random from the incomplete pack. Both came out to be spade. Can you tell us the probability that lost card is a heart.
Answer» $\frac{13}{49?}$

19.

Gauri, the youngest one at home, was playing with a pack of cards. She lost a card. Later on, two cards were drawn at random from the incomplete pack. Both came out to be spade. Can you tell us the probability that lost card is a heart.

Answer»

$\frac{13}{49?}$

Discussion

20.	The interest on ₹6000 at 5% p.a.for 4 years is?
Answer» ANSWER: INTEREST =6000×5×4/100=120 ₹

20.

The interest on ₹6000 at 5% p.a.for 4 years is?

Answer»

ANSWER:

INTEREST =6000×5×4/100=120 ₹

Discussion

21.	Total surface area of a cylinder of height 5.5cm is 198cm2 find its radius
Answer» $Let \: r \:and \: h \:are \: radius \:and \:height \\of \: a \: cylinder \: respectively$ $h = 5.5 \:cm$ $\boxed { \pink { TSA \: of \: a\: cylinder = 2\pi r(r+h) }}$ $Total \: Surface\:Area \: of \:the \: cylinder \\= 198 \:cm^{2} \:(given)$ $\implies 2\pi r(r+h) = 198$ $\implies 2 \times \frac{22}{7} \times r(r+5.5)= 198$ $\implies 2r(r + 5.5) = 198 \times \frac{7}{22}$ $\implies 2r^{2} + 11r = 63$ $\implies 2r^{2} + 11r - 63 = 0$ /* Splitting the middle TERM,we GET / $\implies 2r^{2} + 18r - 7r - 63 = 0$ $\implies 2r( r + 9 ) - 7( r + 9 ) = 0$ $\implies ( r + 9 )( 2r - 7 ) = 0$ $\implies ( r + 9 ) = 0 \: Or \: 2r - 7 = 0$ $\implies r = -9\: Or \: 2r = 7$ $\implies r = -9\: Or \: r = \frac{7}{2}$ / r should not be NEGATIVE */ Therefore., $\red { Radius \:of \:the \: cylinder }$ $\green { = \frac{7}{2} \:cm = 3.5 \:cm }$ •••♪

21.

Total surface area of a cylinder of height 5.5cm is 198cm2 find its radius

Answer»

$Let \: r \:and \: h \:are \: radius \:and \:height \\of \: a \: cylinder \: respectively$

$h = 5.5 \:cm$

$\boxed { \pink { TSA \: of \: a\: cylinder = 2\pi r(r+h) }}$

$Total \: Surface\:Area \: of \:the \: cylinder \\= 198 \:cm^{2} \:(given)$

$\implies 2\pi r(r+h) = 198$

$\implies 2 \times \frac{22}{7} \times r(r+5.5)= 198$

$\implies 2r(r + 5.5) = 198 \times \frac{7}{22}$

$\implies 2r^{2} + 11r = 63$

$\implies 2r^{2} + 11r - 63 = 0$

/* Splitting the middle TERM,we GET */

$\implies 2r^{2} + 18r - 7r - 63 = 0$

$\implies 2r( r + 9 ) - 7( r + 9 ) = 0$

$\implies ( r + 9 )( 2r - 7 ) = 0$

$\implies ( r + 9 ) = 0 \: Or \: 2r - 7 = 0$

$\implies r = -9\: Or \: 2r = 7$

$\implies r = -9\: Or \: r = \frac{7}{2}$

/* r should not be NEGATIVE */

Therefore.,

$\red { Radius \:of \:the \: cylinder }$

$\green { = \frac{7}{2} \:cm = 3.5 \:cm }$

•••♪

Discussion

22.	L= 15cm b= 8 cm depth= 8cm how many square foot it is?
Answer» ANSWER: AREA =15×8×8 =960CM SQUARE

22.

L= 15cm b= 8 cm depth= 8cm how many square foot it is?

Answer»

ANSWER:

AREA =15×8×8

=960CM SQUARE

Discussion

23.	What is the formula of °c
Answer» Step-by-step EXPLANATION: C÷100 =F÷180 THIS IS THE MOST POPULAR FORMULA. PLEASE MARK As BRILLIANT

23.

What is the formula of °c

Answer»

Step-by-step EXPLANATION:

C÷100 =F÷180

THIS IS THE MOST POPULAR FORMULA.

PLEASE MARK As BRILLIANT

Discussion

24.	Question number 18Guys please help me
Answer» ANSWER: here is your answer! once you TRY it yourself!

24.

Question number 18Guys please help me

Answer»

ANSWER:

here is your answer!

once you TRY it yourself!

Discussion

25.	How to draw a semicircle of diameter 6.2 CM
Answer» ANSWER: GIVEN , diameter=6.2cm therefore, radius=6.2/2 =3.1 now take MEASUREMENT of 3.1 cm in a compass. draw a circle..... this is the REQUIRED circle.....

25.

How to draw a semicircle of diameter 6.2 CM

Answer»

ANSWER:

GIVEN ,

diameter=6.2cm

therefore, radius=6.2/2

=3.1

now take MEASUREMENT of 3.1 cm in a compass.

draw a circle.....

this is the REQUIRED circle.....

Discussion

26.	Complete this equation puzzlhow this answer 66came?
Answer» Answer: H bhfcvj hgcjure sarhom mhvr vrjifs h FDC vgitrdg grduv Step-by-step EXPLANATION: v hda js dk.

26.

Complete this equation puzzlhow this answer 66came?

Answer»

Answer:

H bhfcvj hgcjure sarhom mhvr vrjifs h FDC vgitrdg grduv

Step-by-step EXPLANATION:

v hda js dk.

Discussion

27.	Plz help me with this question.
Answer» Answer: ∠AOB = 36° Angle subtended by chord AB at centre = 144° Step-by-step EXPLANATION: To find-----> AC = AB , ∠ ABC = 72° , OA and OB are tangents . To find------> 1) ∠ AOB 2) Angle subtended by the chord AB at the centre . Solution------> In Δ ABC , AC = AB ( given ) => ∠ ABC = ∠ ACB = 72° ( angles opposite to EQUAL sides are equal ) Let centre of circle is O¹ , so angle subtended by chord on centre is ∠BO¹A . Now , we know that angle subtended by a chord at centre is twice the angle subtended at circumference , so , ∠ BO¹A = 2 ∠ ACB = 2 ( 72° ) = 144° Now , we know that, ∠ O¹AO = ∠O¹BO = 90° ( angle between tangent and radius is right angle ) Now , O¹ AOB is a quadrilateral so, ∠BO¹A + ∠O¹AO + ∠AOB + ∠OBO¹ = 360° => 144° + 90° + ∠AOB + 90° = 360° => ∠AOB = 360° - 324° => ∠AOB = 36°

27.

Plz help me with this question.

Answer»

Answer:

∠AOB = 36°

Angle subtended by chord AB at centre = 144°

Step-by-step EXPLANATION:

To find-----> AC = AB , ∠ ABC = 72° , OA and OB are tangents .

To find------>

1) ∠ AOB

2) Angle subtended by the chord AB at the centre .

Solution------> In Δ ABC ,

AC = AB ( given )

=> ∠ ABC = ∠ ACB = 72° ( angles opposite to EQUAL sides are equal )

Let centre of circle is O¹ , so angle subtended by chord on centre is ∠BO¹A .

Now , we know that angle subtended by a chord at centre is twice the angle subtended at circumference , so ,

∠ BO¹A = 2 ∠ ACB

= 2 ( 72° )

= 144°

Now , we know that,

∠ O¹AO = ∠O¹BO = 90° ( angle between tangent and radius is right angle )

Now , O¹ AOB is a quadrilateral so,

∠BO¹A + ∠O¹AO + ∠AOB + ∠OBO¹ = 360°

=> 144° + 90° + ∠AOB + 90° = 360°

=> ∠AOB = 360° - 324°

=> ∠AOB = 36°

Discussion

28.	Are 30, 40, 45,60 in proportion
Answer» ANSWER: YA they are in proportion Step-by-step explanation: 30 40 45 60 they have COMMON multiple 6:8:9:12

28.

Are 30, 40, 45,60 in proportion

Answer»

ANSWER:

YA they are in proportion

Step-by-step explanation:

30 40 45 60

they have COMMON multiple

6:8:9:12

Discussion

29.	write down p(x) polynomial second degree
Answer» ANSWER: what is the PROPER QUESTION

29.

write down p(x) polynomial second degree

Answer»

ANSWER:

what is the PROPER QUESTION

Discussion

30.	A road roller is of radius 91cm and height 75cm .find the CSA of the road roller
Answer» Answer:300300 Step-by-step EXPLANATION:

30.

A road roller is of radius 91cm and height 75cm .find the CSA of the road roller

Answer»

Answer:300300

Step-by-step EXPLANATION:

Discussion

31.	Rishadh scored thrice as many runs as varad.Together, their runs fell 8 short of a double century.how many runs did each one score?
Answer» LET VARAD's RUNS=x then RISHADH's runs= 3x ATQ x+3x= 200-8 4x=192 x=48 Rishadh =3x=144 Varad=x=48 Hope that helps. Follow for more.

Discussion

32.	Construct a triangle DEF in which DE=4 cm, EF=7 cm and FD=3 cm, which type of triangle is formed
Answer» Answer: first we MEASURE FD 3 CM Step-by-step explanation: 5

32.

Construct a triangle DEF in which DE=4 cm, EF=7 cm and FD=3 cm, which type of triangle is formed

Answer»

Answer:

first we MEASURE FD 3 CM

Step-by-step explanation:

5

Discussion

33.	If coseco - sino = m and seco - coso = n, thenprove that (m^2n)^2/3 + (mn^2)^2/3 = 1
Answer» Answer: Step-by-step explanation: REFER to the below attachment and please mark as brainliest Hope it HELPS.

33.

If coseco - sino = m and seco - coso = n, thenprove that (m^2n)^2/3 + (mn^2)^2/3 = 1

Answer»

Answer:

Step-by-step explanation:

REFER to the below attachment and please mark as brainliest

Hope it HELPS.

Discussion

34.	If a set has n elements, then the number of relation on A is
Answer» ANSWER: A relation has ordered pairs (a,b). For anti-symmetric relation, if (a,b) and (b,a) is present in relation R, then a = b. (That MEANS a is in relation with itself for any a). So for (a,a), total NUMBER of ordered pairs = n and total number of relation = 2n.

34.

If a set has n elements, then the number of relation on A is

Answer»

ANSWER:

A relation has ordered pairs (a,b). For anti-symmetric relation, if (a,b) and (b,a) is present in relation R, then a = b. (That MEANS a is in relation with itself for any a). So for (a,a), total NUMBER of ordered pairs = n and total number of relation = 2n.

Discussion

35.	solve the following system of equation for x and y by using the method of elimination(0.4x + 0.3y = 1.7 and 0.7x - o.2y = 0.8
Answer» ANSWER: this is the solution for the given sum I hope it HELPS you

35.

solve the following system of equation for x and y by using the method of elimination(0.4x + 0.3y = 1.7 and 0.7x - o.2y = 0.8

Answer»

ANSWER:

this is the solution for the given sum

I hope it HELPS you

Discussion

36.	Aditi has enough money for 6 weeks of holidaying if she spends 1400 rs per week how long will the money lasts if she spends 1050rs per week
Answer» Answer: The MONEY will last for 8 WEEKS. Step-by-step explanation: No. of weeks the money will last if ₹1400 is spent per week = 6 The TOTAL money she has = AMOUNT spent in a week x No. of Weeks = 1400 x 6 = ₹8400 No. of weeks the money will last if ₹1050 is spent per week = $\frac{8400}{1050}$ = 8 weeks.

36.

Aditi has enough money for 6 weeks of holidaying if she spends 1400 rs per week how long will the money lasts if she spends 1050rs per week

Answer»

Answer:

The MONEY will last for 8 WEEKS.

Step-by-step explanation:

No. of weeks the money will last if ₹1400 is spent per week = 6

The TOTAL money she has = AMOUNT spent in a week x No. of Weeks

= 1400 x 6

= ₹8400

No. of weeks the money will last if ₹1050 is spent per week = $\frac{8400}{1050}$

= 8 weeks.

Discussion

37.	Pls pls solve this guys...help me...solve this...pls....
Answer» ANSWER: 4/3 Step-by-step explanation: x minus ONE by X is equals to 1 by 3 x SQUARE minus one by x is equal to 1 by 3 then X is cut b y x square and X is LEFT then x minus 1 is equals to 1 by 3 then -1 goes on the RIGHT side of X and hence is it is equals to 1 by 3 +1 the answer is 4 by 3

37.

Pls pls solve this guys...help me...solve this...pls....

Answer»

ANSWER:

4/3

Step-by-step explanation:

x minus ONE by X is equals to 1 by 3

x SQUARE minus one by x is equal to 1 by 3 then X is cut b y x square and X is LEFT then x minus 1 is equals to 1 by 3 then -1 goes on the RIGHT side of X and hence is it is equals to 1 by 3 +1 the answer is 4 by 3

Discussion

38.	A solid cylinder has diameter 28 cm and height 24 cm. A conical cavity of the same diameter and the same height is drilled out from this solid. Find the whole surface area of the remaining solid.
Answer» Volume of REMAINING solid = Volume of cylinder - Volume of Cone In the GIVEN case, r = 5cm h = 12cm Volume of Cylinder = pi * r * r * h = 3.14 * 5 * 5 * 12 = 942 cm^3 Volume of Cone = (1/3) * pi * r * r * h = (1/3) * 3.14 * 5 * 5 * 12 = 314 cm^3 Remaining Volume = 942 - 314 = 628cm^3 Total Surface of Remaining Solid = Conical surface area of Cone + Area of Circle + CYLINDRICAL area of Cylinder Conical surface area of Cone = pi* r * ((r^2 + h^2)^(1/2)) = 282.74cm^2 Area of Circle = pi * r * r = 78.54cm^2 Cylindrical area of Cylinder = 2 * pi * r * h = 376.8cm^2 Total Surface Area = 738.08cm^2

38.

A solid cylinder has diameter 28 cm and height 24 cm. A conical cavity of the same diameter and the same height is drilled out from this solid. Find the whole surface area of the remaining solid.

Answer»

Volume of REMAINING solid = Volume of cylinder - Volume of Cone

In the GIVEN case,

r = 5cm

h = 12cm

Volume of Cylinder = pi * r * r * h = 3.14 * 5 * 5 * 12 = 942 cm^3

Volume of Cone = (1/3) * pi * r * r * h = (1/3) * 3.14 * 5 * 5 * 12 = 314 cm^3

Remaining Volume = 942 - 314 = 628cm^3

Total Surface of Remaining Solid = Conical surface area of Cone + Area of Circle + CYLINDRICAL area of Cylinder

Conical surface area of Cone = pi* r * ((r^2 + h^2)^(1/2)) = 282.74cm^2

Area of Circle = pi * r * r = 78.54cm^2

Cylindrical area of Cylinder = 2 * pi * r * h = 376.8cm^2

Total Surface Area = 738.08cm^2

Discussion

39.	AREA PQRS (pq=56m)(qr=25m)(rs=15m)(ps=36m)find its area
Answer» ANSWER: as you don't TELL it is QUADRILATERAL or PARALLELOGRAM so we don't FIND area

39.

AREA PQRS (pq=56m)(qr=25m)(rs=15m)(ps=36m)find its area

Answer»

ANSWER:

as you don't TELL it is QUADRILATERAL or PARALLELOGRAM so we don't FIND area

Discussion

40.	If x=2/3andx=-3are the roots of quadratic equation ax*2+2ax+5x+10 then find the value of a and b
Answer» ANSWER: here we FIND by SUBSTITUTION METHOD

40.

If x=2/3andx=-3are the roots of quadratic equation ax*2+2ax+5x+10 then find the value of a and b

Answer»

ANSWER:

here we FIND by SUBSTITUTION METHOD

Discussion

41.	The heights of 1000 students are normally distributed with a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would you expect to have heights (a) less than 160.0 centimeters? (b) between 171.5 and 182.0 centimeters inclusive? (c) equal to 175.0 centimeters? (d) greater than or equal to 188.0 centimeters?
Answer» ANSWER: PLZ... SOLVE this QUESTION GUYS

41.

The heights of 1000 students are normally distributed with a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would you expect to have heights (a) less than 160.0 centimeters? (b) between 171.5 and 182.0 centimeters inclusive? (c) equal to 175.0 centimeters? (d) greater than or equal to 188.0 centimeters?

Answer»

ANSWER:

PLZ... SOLVE this QUESTION GUYS

Discussion

42.	Can y'all stop asking questions like 5+3 and how many days in january like just dont waste peoples time here
Answer» ANSWER: Yes, the THING is that people just WANT to ask questions, EVEN if the questions are so not WORTH answering.

42.

Can y'all stop asking questions like 5+3 and how many days in january like just dont waste peoples time here

Answer»

ANSWER: Yes, the THING is that people just WANT to ask questions, EVEN if the questions are so not WORTH answering.

Discussion

43.	Which country people know how to get number from sum of two positive number and multiplication??
Answer» PEOPLE of Britain knows how to GET number from sum of TWO POSITIVE number and multiplication

Discussion

44.	Please answer for attached question
Answer» Answer: 2351.25rs Step-by-step EXPLANATION: ONE METRE = 95 = 99/4*95 = 2351.25 RS

44.

Please answer for attached question

Answer»

Answer:

2351.25rs

Step-by-step EXPLANATION:

ONE METRE = 95

= 99/4*95

= 2351.25 RS

Discussion

45.	52/9-11/10-116/15 simplify
Answer» I JUST HOPE IT DID CORRECT ...

45.

52/9-11/10-116/15 simplify

Answer»

I JUST HOPE IT DID CORRECT ...

Discussion

46.	If the mode of the observations 4,5,10,3,5,4,9,3,x,3,4,5 is 5 then x=
Answer» Mode of an OBSERVATION means the number OCCURRING the most in the observation. SINCE 5 is the number that is occurring the most HENCE X = 5. Mark as brainliest!!

Discussion

47.	Find the volume of a cube whose edge is 10 m.
Answer» Answer: volume of cube=a^3 =10^3=1000 cm^3 If you like my answer Please MARK me as BRAINLIEST. . . .

47.

Find the volume of a cube whose edge is 10 m.

Answer»

Answer:

volume of cube=a^3 =10^3=1000 cm^3

If you like my answer Please MARK me as BRAINLIEST. . . .

Discussion

48.	AREA (pq=56m)(qr=25m)(rs=15m)(ps=36m)find its area
Answer» ANSWER: HOPE it will HELP you.........

48.

AREA (pq=56m)(qr=25m)(rs=15m)(ps=36m)find its area

Answer»

ANSWER:

HOPE it will HELP you.........

Discussion

49.	Find the biggest number which divides 1545 and 60 completely
Answer» Answer is 15 because it's HCF is 15 Step-by-step explanation: HOPE it's CORRECT

49.

Find the biggest number which divides 1545 and 60 completely

Answer»

Answer is 15 because it's HCF is 15

Step-by-step explanation:

HOPE it's CORRECT

Discussion

50.	What is the meaning of ^
Answer» Answer: The symbol ^ MEANS "RAISE to the power". sits USED in exponents :-)

50.

What is the meaning of ^

Answer»

Answer:

The symbol ^ MEANS "RAISE to the power". sits USED in exponents :-)

Discussion

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