332354 + Interview Questions in Secondary School in Math

1.	IhoeczoABCD is a quadrilataal, diagonal ACQBObisect sachright angles Provethat AB CD is rhombus
Answer» ANSWER: ..............................,.....,.....

1.

IhoeczoABCD is a quadrilataal, diagonal ACQBObisect sachright angles Provethat AB CD is rhombus

Answer»

ANSWER:

..............................,.....,.....

Discussion

2.	DE//OQ, DF//OR Show EF//QR
Answer» Answer: consider TRANGLE POQ and POR and QOR and PQR

2.

DE//OQ, DF//OR Show EF//QR

Answer»

Answer:

consider TRANGLE POQ and POR and QOR and PQR

Discussion

3.	8.If we subtract-3x y2 from xay, then we get
Answer» ANSWER: I REALLY don't KNOW SORRY 12233344444445555

3.

8.If we subtract-3x y2 from xay, then we get

Answer»

ANSWER:

I REALLY don't KNOW SORRY 12233344444445555

Discussion

4.	The measures of angles of a triangle are in the ratio 5:6:7 then the smallest angle of the triangle has the measure______
Answer» ANSWER: $$50°$$ Explanation: LET x represent the scale FACTOR, the RATIOS are multiplied by: $$5x°+6x°+7x°=180°$$ $$18x°=180°$$ $$x=10$$ Smallest Angle … Step-by-step explanation:

4.

The measures of angles of a triangle are in the ratio 5:6:7 then the smallest angle of the triangle has the measure______

Answer»

ANSWER:

$$50°$$ Explanation: LET x represent the scale FACTOR, the RATIOS are multiplied by: $$5x°+6x°+7x°=180°$$ $$18x°=180°$$ $$x=10$$ Smallest Angle …

Step-by-step explanation:

Discussion

5.	The sum of the digit of two-digit number is 13. If the digits are reverser, the result exceeds the original number by 9. Find the original number.
Answer» ANSWER: Consider the following statements, establish the CAUSE and effect relationship and choose the CORRECT answer from the given options I. In the post 1981, the growth rate of country’s population though remained high, has started SLOWING down gradually. II. A downward trend of crude birth rate is held responsible for such a population growth. Options- a. Only statement I is true b. Only statement II is true c. Both the statements are true and statement II presents the valid cause for statement I Q7 Q8 d. Both the statement are irrelevant

5.

The sum of the digit of two-digit number is 13. If the digits are reverser, the result exceeds the original number by 9. Find the original number.

Answer»

ANSWER:

Consider the following statements, establish the CAUSE and effect relationship and choose the CORRECT answer from the given options

I. In the post 1981, the growth rate of country’s population though remained high, has started SLOWING down gradually.

II. A downward trend of crude birth rate is held responsible for such a

population growth. Options-

a. Only statement I is true

b. Only statement II is true

c. Both the statements are true and statement II presents the valid cause for statement I

Q7 Q8

d. Both the statement are irrelevant

Discussion

6.	If p(x)=2x+1 find p(-1/2)
Answer» ANSWER:ANSWER p(x)=x 2 −2 2 x+1 p(2 2 )=+2 2 2 −2 2 ×2 2 +1 p(2 2 )=8−8+1 p(2 2 )=1 Hence, option B. Step-by-step explanation:

6.

If p(x)=2x+1 find p(-1/2)

Answer»

ANSWER:ANSWER

p(x)=x

2

−2

2

x+1

p(2

2

)=+2

2

−2

2

×2

2

+1

p(2

2

)=8−8+1

p(2

2

)=1

Hence, option B.

Step-by-step explanation:

Discussion

7.	A)Raj ate 2/5 of cake.Anu ate 4/7 of the same cake. Who ate more?b) Find an equivalent fraction 2/9 of with denominator 45.
Answer» ANSWER: A: ANU ate more. B: 10/45 Step-by-step explanation: A: 2/5 is the same as 14/35, and 4/7 is the same as 20/35. 20/35 is BIGGER, therefore Anu ate more cake. B: 95 is 45, so you have to multiply 25 as well to get 10.

7.

A)Raj ate 2/5 of cake.Anu ate 4/7 of the same cake. Who ate more?b) Find an equivalent fraction 2/9 of with denominator 45.

Answer»

ANSWER:

A: ANU ate more.

B: 10/45

Step-by-step explanation:

A: 2/5 is the same as 14/35, and 4/7 is the same as 20/35. 20/35 is BIGGER, therefore Anu ate more cake.

B: 9*5 is 45, so you have to multiply 2*5 as well to get 10.

Discussion

8.	Subtract 8×2-9×+5 from 4×3- 3×2 +7× +11
Answer» ANSWER: the OPPOSITE SIDE of PARALLELOGRAM is EQUAL

8.

Subtract 8×2-9×+5 from 4×3- 3×2 +7× +11

Answer»

ANSWER:

the OPPOSITE SIDE of PARALLELOGRAM is EQUAL

Discussion

9.	Find the value of x^2(x^2+x-1)+3 for x=-1
Answer» ANSWER: x^2(x^2+x-1) I hope my answer is right... please MARK me as BRAINLIEST...

9.

Find the value of x^2(x^2+x-1)+3 for x=-1

Answer»

x^2(x^2+x-1)

I hope my answer is right...

please MARK me as BRAINLIEST...

Discussion

10.	20. From the sum of 2x² + 3xy - 5 and 7 + 2xy – x? subtract 3xy + x2 - 2.
Answer» Step-by-step explanation: 2x² + 3XY - 5 + 7 + 2XY – X -(3xy + x² -2) = 2x² +5XY +2-x-3xy-x²+2 = x²+2xy -x+4

10.

20. From the sum of 2x² + 3xy - 5 and 7 + 2xy – x? subtract 3xy + x2 - 2.

Answer»

Step-by-step explanation:

2x² + 3XY - 5 + 7 + 2XY – X -(3xy + x² -2)

= 2x² +5XY +2-x-3xy-x²+2

= x²+2xy -x+4

Discussion

11.	Write the imaginary part of the complex number –15 + 7i.
Answer» ANSWER is 22 Step-by-step EXPLANATION: ,,,,,,,,,,,,,,,,,,,,,,,,,hjbjnhj VAT VY V

11.

Write the imaginary part of the complex number –15 + 7i.

Answer»

ANSWER is 22

Step-by-step EXPLANATION:

,,,,,,,,,,,,,,,,,,,,,,,,,hjbjnhj VAT VY V

Discussion

12.	The points (-4,0) and (7,0) lies on which axes?
Answer» ANSWER: X axis Step-by-step EXPLANATION: HOPE it helps u MATE

12.

The points (-4,0) and (7,0) lies on which axes?

Answer»

ANSWER:

X axis

Step-by-step EXPLANATION:

HOPE it helps u MATE

Discussion

13.	What is the measure of an angle whose measure is 32° less than its supplement? *148°60°74°55°
Answer» Answer: 74° Step-by-step explanation: LET the measure of the required angle be x∘. Then, measure of its SUPPLEMENT =(180-x)∘. ∴(180-x)-x=32⇒2x=148⇒x=74. HENCE, the measure of the required angle is 74∘.

13.

What is the measure of an angle whose measure is 32° less than its supplement? *148°60°74°55°

Answer»

Answer:

74°

Step-by-step explanation:

LET the measure of the required angle be x∘. Then, measure of its SUPPLEMENT =(180-x)∘. ∴(180-x)-x=32⇒2x=148⇒x=74. HENCE, the measure of the required angle is 74∘.

Discussion

14.	Make a report on field visit? class 10th ssc board.
Answer» Answer: Consider the following statements, establish the CAUSE and EFFECT RELATIONSHIP and choose the correct answer from the given options I. In the post 1981, the growth RATE of country’s population though remained high, has started slowing down gradually. II. A downward trend of crude birth rate is held responsible for such a population growth. Options- a. Only statement I is true b. Only statement II is true c. Both the statements are true and statement II presents the valid cause for statement I Q7 Q8 d. Both the statement are irrelevant

14.

Make a report on field visit? class 10th ssc board.

Answer»

Answer:

Consider the following statements, establish the CAUSE and EFFECT RELATIONSHIP and choose the correct answer from the given options

I. In the post 1981, the growth RATE of country’s population though remained high, has started slowing down gradually.

II. A downward trend of crude birth rate is held responsible for such a

population growth. Options-

a. Only statement I is true

b. Only statement II is true

c. Both the statements are true and statement II presents the valid cause for statement I

Q7 Q8

d. Both the statement are irrelevant

Discussion

15.	ABCD is a rhombus and P, Q, R, S are mid-points of AB, BC, CD and DA respectively. Prove thatquadrilateral PQRS is a rectangle.
Answer» Answer: Given- ABCD is a rhombus and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively. To Prove-PQRS is a rectangle Construction, AC and BD are joined. Proof, In ΔDRS and ΔBPQ, DS = BQ (HALVES of the opposite sides of the rhombus) ∠SDR = ∠QBP (Opposite angles of the rhombus) DR = BP (Halves of the opposite sides of the rhombus) THUS, ΔDRS ≅ ΔBPQ by SAS congruence condition. RS = PQ by CPCT --- (i) In ΔQCR and ΔSAP, RC = PA (Halves of the opposite sides of the rhombus) ∠RCQ = ∠PAS (Opposite angles of the rhombus) CQ = AS (Halves of the opposite sides of the rhombus) Thus, ΔQCR ≅ ΔSAP by SAS congruence condition. RQ = SP by CPCT --- (ii) Now, In ΔCDB, R and Q are the mid points of CD and BC respectively. ⇒ QR \|\| BD ALSO, P and S are the mid points of AD and AB respectively. ⇒ PS \|\| BD ⇒ QR \|\| PS Thus, PQRS is a parallelogram. also, ∠PQR = 90° Now, In PQRS, RS = PQ and RQ = SP from (i) and (ii) ∠Q = 90° Thus, PQRS is a rectangle.

15.

ABCD is a rhombus and P, Q, R, S are mid-points of AB, BC, CD and DA respectively. Prove thatquadrilateral PQRS is a rectangle.

Answer»

Answer:

Given- ABCD is a rhombus and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively.

To Prove-PQRS is a rectangle

Construction,

AC and BD are joined.

Proof,

In ΔDRS and ΔBPQ,

DS = BQ (HALVES of the opposite sides of the rhombus)

∠SDR = ∠QBP (Opposite angles of the rhombus)

DR = BP (Halves of the opposite sides of the rhombus)

THUS, ΔDRS ≅ ΔBPQ by SAS congruence condition.

RS = PQ by CPCT --- (i)

In ΔQCR and ΔSAP,

RC = PA (Halves of the opposite sides of the rhombus)

∠RCQ = ∠PAS (Opposite angles of the rhombus)

CQ = AS (Halves of the opposite sides of the rhombus)

Thus, ΔQCR ≅ ΔSAP by SAS congruence condition.

RQ = SP by CPCT --- (ii)

Now,

In ΔCDB,

R and Q are the mid points of CD and BC respectively.

⇒ QR || BD

ALSO,

P and S are the mid points of AD and AB respectively.

⇒ PS || BD

⇒ QR || PS

Thus, PQRS is a parallelogram.

also, ∠PQR = 90°

Now,

In PQRS,

RS = PQ and RQ = SP from (i) and (ii)

∠Q = 90°

Thus, PQRS is a rectangle.

Discussion

16.	Ratio of volumes of two solid spheres is 1 : 27 then find the ratio of their curved surface areas
Answer» Step-by-step explanation: 1/3 mark as BRILLIANT THANKS for all QUESTION

16.

Ratio of volumes of two solid spheres is 1 : 27 then find the ratio of their curved surface areas

Answer»

Step-by-step explanation:

1/3

mark as BRILLIANT THANKS for all QUESTION

Discussion

17.	E) A car covers 108 km in first 2hrs and 90 km in next 1 hour. Find its averagespeed.
Answer» ANSWER: you will ABLE to FIND the best WAY to get

17.

E) A car covers 108 km in first 2hrs and 90 km in next 1 hour. Find its averagespeed.

Answer»

ANSWER:

you will ABLE to FIND the best WAY to get

Discussion

18.	ClassmatePRIMOS PUBLIC SCHOOLRIODIC TEIT !!SSSTON 2020 2021loSUB-MATHCLASS. VI12Question & to s conting 3 marks each.If xty and xy 2, then x² - y2+
Answer» Step-by-step EXPLANATION: NX fnf ff C. F c c c c c c c c cnxncnnsnsks

18.

ClassmatePRIMOS PUBLIC SCHOOLRIODIC TEIT !!SSSTON 2020 2021loSUB-MATHCLASS. VI12Question & to s conting 3 marks each.If xty and xy 2, then x² - y2+

Answer»

Step-by-step EXPLANATION:

NX fnf ff C. F c c c c c c c c cnxncnnsnsks

Discussion

19.	Write the real part of the complex number –11i.
Answer» ANSWER: It's REAL PART is 0 = 0-11i

19.

Write the real part of the complex number –11i.

Answer»

ANSWER:

It's REAL PART is 0

= 0-11i

Discussion

20.	Fi1.2 The queatest fouswithout repetition iNumber ist2
Answer» ANSWER: helllloooooo how are UUUU allll

20.

Fi1.2 The queatest fouswithout repetition iNumber ist2

Answer»

ANSWER:

helllloooooo how are UUUU allll

Discussion

21.	Countingiu ten numbes affes 2124
Answer» ANSWER: $Step-by-step explanation:Answer:- \|?\|$

21.

Countingiu ten numbes affes 2124

Answer»

ANSWER:

$Step-by-step explanation:Answer:- |?|$

Discussion

22.	Fing the orthogonal trajection of the family of the coxial circles x+y+2gx+c=0
Answer» ANSWER: SORRY ............!!!?

22.

Fing the orthogonal trajection of the family of the coxial circles x+y+2gx+c=0

Answer»

ANSWER:

SORRY ............!!!?

Discussion

23.	Q 40 IT a card is chosen from a well-shuftled card pack find probability of peninga A red cardA spadeTon of clubd. Neither red nor King
Answer» ANSWER: Q 40 IT a card is chosen from a well-shuftled card PACK FIND probability of pening a A red card A spade Ton of club d. Neither red nor King

23.

Q 40 IT a card is chosen from a well-shuftled card pack find probability of peninga A red cardA spadeTon of clubd. Neither red nor King

Answer»

Q 40 IT a card is chosen from a well-shuftled card PACK FIND probability of pening

a A red card

A spade

Ton of club

d. Neither red nor King

Discussion

24.	7. Square of 3x – 4y is
Answer» ANSWER: We know that, (a−b) 2 =a 2 +b 2 −2ab ∴(3X−4Y) 2 =(3x) 2 +(4y) 2 −2(3x)(4y) =9X 2 +16y 2 −24xy

24.

7. Square of 3x – 4y is

Answer»

ANSWER:

We know that,

(a−b)

2

=a

2

+b

2

−2ab

∴(3X−4Y)

2

=(3x)

2

+(4y)

2

−2(3x)(4y)

=9X

2

+16y

2

−24xy

Discussion

25.	From the point P (-1, 3), a perpendicular PQ is drawn to the line AB :3x-4y-16=0, find the coordinates of the foot of perpendicular
Answer» Step-by-step EXPLANATION: STANZA Said I to my HEART here's a lesson for me that man's but a picture of what I might be but thanks to my FRIEND for their care in my breeding

25.

From the point P (-1, 3), a perpendicular PQ is drawn to the line AB :3x-4y-16=0, find the coordinates of the foot of perpendicular

Answer»

Step-by-step EXPLANATION:

STANZA Said I to my HEART here's a lesson for me that man's but a picture of what I might be but thanks to my FRIEND for their care in my breeding

Discussion

26.	(5) If both the pair of opposite angles of a quadrilateral are congruent then it isparallelogram.
Answer» Answer: There are five ways in which you can prove that a quadrilateral is a parallelogram. The FIRST four are the converses of parallelogram PROPERTIES (including the definition of a parallelogram). Make sure you remember the oddball fifth one — which isn’t the converse of a property — because it often comes in handy: If both pairs of opposite sides of a quadrilateral are parallel, then it’s a parallelogram (reverse of the definition). If both pairs of opposite sides of a quadrilateral are congruent, then it’s a parallelogram (converse of a property). Tip: To get a feel for why this proof method works, take two toothpicks and two pens or pencils of the same length and put them all TOGETHER tip-to-tip; create a closed figure, with the toothpicks opposite each other. The only shape you can make is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then it’s a parallelogram (converse of a property). If the diagonals of a quadrilateral bisect each other, then it’s a parallelogram (converse of a property). Tip: Take, say, a pencil and a toothpick (or two pens or pencils of different lengths) and make them cross each other at their midpoints. No matter how you change the angle they make, their tips FORM a parallelogram. If one pair of opposite sides of a quadrilateral are both parallel and congruent, then it’s a parallelogram (NEITHER the reverse of the definition nor the converse of a property). Tip: Take two pens or pencils of the same length, holding one in each hand. If you keep them parallel, no matter how you move them around, you can see that their four ends form a parallelogram. Step-by-step explanation: PLEASE MARK ME AS BRAINLIST AND FOLLOW ME IN BRAINLY

26.

(5) If both the pair of opposite angles of a quadrilateral are congruent then it isparallelogram.

Answer»

Answer:

There are five ways in which you can prove that a quadrilateral is a parallelogram. The FIRST four are the converses of parallelogram PROPERTIES (including the definition of a parallelogram). Make sure you remember the oddball fifth one — which isn’t the converse of a property — because it often comes in handy:

If both pairs of opposite sides of a quadrilateral are parallel, then it’s a parallelogram (reverse of the definition).

If both pairs of opposite sides of a quadrilateral are congruent, then it’s a parallelogram (converse of a property).

Tip: To get a feel for why this proof method works, take two toothpicks and two pens or pencils of the same length and put them all TOGETHER tip-to-tip; create a closed figure, with the toothpicks opposite each other. The only shape you can make is a parallelogram.

If both pairs of opposite angles of a quadrilateral are congruent, then it’s a parallelogram (converse of a property).

If the diagonals of a quadrilateral bisect each other, then it’s a parallelogram (converse of a property).

Tip: Take, say, a pencil and a toothpick (or two pens or pencils of different lengths) and make them cross each other at their midpoints. No matter how you change the angle they make, their tips FORM a parallelogram.

If one pair of opposite sides of a quadrilateral are both parallel and congruent, then it’s a parallelogram (NEITHER the reverse of the definition nor the converse of a property).

Tip: Take two pens or pencils of the same length, holding one in each hand. If you keep them parallel, no matter how you move them around, you can see that their four ends form a parallelogram.

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIST AND FOLLOW ME IN BRAINLY

Discussion

27.	For what value of m the product of the roots x²+21x+(m+8)=0 is 13?
Answer» ANSWER: CAREFULLY.... ADVERB of MANNER

27.

For what value of m the product of the roots x²+21x+(m+8)=0 is 13?

Answer»

ANSWER:

CAREFULLY.... ADVERB of MANNER

Discussion

28.	The line segment joining points (-3, -4) and (1, -2) is divided by y-axis in the ratioRequired to answer. Single choice.
Answer» 3 : 1 _____ Using the section formula, if a Point ( X,Y ) divides the line joining the points ( X1,Y1 ) and ( X2,Y2 ) in the ration m : n then, $(x.y) = ( \frac{mx2 + nx1}{m + n} . \frac{my2 + my1}{m + n} )$ Substituting ( X1,Y1 ) = ( -3,-4 ) and ( X2,Y2 ) = ( 1,-2 ) in the section formula, we get the point $( \frac{m(1) + n( - 3)}{m + n}. \frac{m( - 2) + n( - 4)}{m + n}) = ( \frac{m - <klux>3N</klux>}{m + n} . \frac{ - 2m - 4n}{m + n} )$ As the point lies on Y - AXIS, X - coordinate = 0 = > m = 3n or m : n = 3 : 1 Answer ✔️

28.

The line segment joining points (-3, -4) and (1, -2) is divided by y-axis in the ratioRequired to answer. Single choice.

Answer»

3 : 1

_____

Using the section formula, if a

Point ( X,Y ) divides the line joining the points ( X1,Y1 ) and ( X2,Y2 ) in the ration m : n then,

$(x.y) = ( \frac{mx2 + nx1}{m + n} . \frac{my2 + my1}{m + n} )$

Substituting ( X1,Y1 ) = ( -3,-4 ) and ( X2,Y2 ) = ( 1,-2 ) in the section formula, we get the point

$( \frac{m(1) + n( - 3)}{m + n}. \frac{m( - 2) + n( - 4)}{m + n}) = ( \frac{m - <klux>3N</klux>}{m + n} . \frac{ - 2m - 4n}{m + n} )$

As the point lies on Y - AXIS, X - coordinate = 0

= > m = 3n or m : n = 3 : 1 Answer ✔️

Discussion

29.	If a line instrest two
Answer» ANSWER: PLEASE CHECK your QUESTION

29.

If a line instrest two

Answer»

ANSWER:

PLEASE CHECK your QUESTION

Discussion

30.	rk fabricators has got a order for making a frame for machine of their client. for which, they are using a autocad software to create a constructible model that includes the relevant information such as dimensions of the frame and materials needed. the frame will have a solid base and will be cut out of a piece of steel the final area of the frame should be 54 sq m. the digram of frame is shown below. in order to input the right values in the autocad software, the engineer needs to calculate some basic things. on the basis of the above information, answer any four of the following questions: (i) what are the dimensions of the outer frame ? (a) 10 + x and 5 + x (b) 10 - x and 5 - x (c) 10 + 2x and 5 + 2x (d) 10 - 2x and 5 – 2x(ii)a metal sheet of minimum area is used to make the frame. what should be the minimum area of metal sheet before cutting ? (a) 4x2 + 30x +50 (b) x2+ 27x +55 (c) 5x2+30 (d) 4x2 + 50 (iii)what is the area of required final metal frame ? (a) 4x2 + 30x +50 m2 (b) x2+ 27x +55 m2 (c) 4x2+50x m2 (d) 4x2 + 30 m2 (iv) if the area of the frame is 54 sq m, what is the value of x ? (a) 0.75 m (b) 3.0 m (c) 1.5 m (d) 1.8 m (v) what is the perimeter of the frame? (a) 36 m (b) 42 m (c) 45 m (d) 39 m
Answer» Given : final area of the FRAME should be 54 sq m Inner rectangle dimensions are l-10 b-5. Outer is x meters from all sides To Find : dimensions of the outer frame Area of frame Value of x Perimeter of frame Solution: dimensions of the outer frame 10 + x + x and 5 + x + x = 10 + 2x and 5 + 2x Correct option is : c) (10 +2x) and (5 + 2x) Area of frame = (10 +2x)(5 + 2x) = 50 + 20x + 10x + 4x² = 4x² + 30x + 50 area of required final METAL frame = 4x² + 30x + 50 - ( 10 * 5) = 4x² + 30x 4x² + 30x = 54 => 2x² +15X = 27 => 2x² +15x - 27 = 0 => 2x² + 18x - 3x - 27 = 0 => 2x(x + 9) - 3(x + 9) = 0 => (2x - 3)(x + 9) = 0 => x = 3/2 x = - 9 ( x can not be negative ) Hence x = 1.5 m Perimeter of frame : 2(10 + 2x + 5 + 2x) = 30 + 8x =30 + 8(1.5) = 42 m Learn More: The outer length and breadth of a photo frame is 60 cm × 40 cm.If . brainly.in/question/8139125 fabricators has got a order for making a frame brainly.in/question/30531046

30.

rk fabricators has got a order for making a frame for machine of their client. for which, they are using a autocad software to create a constructible model that includes the relevant information such as dimensions of the frame and materials needed. the frame will have a solid base and will be cut out of a piece of steel the final area of the frame should be 54 sq m. the digram of frame is shown below. in order to input the right values in the autocad software, the engineer needs to calculate some basic things. on the basis of the above information, answer any four of the following questions: (i) what are the dimensions of the outer frame ? (a) 10 + x and 5 + x (b) 10 - x and 5 - x (c) 10 + 2x and 5 + 2x (d) 10 - 2x and 5 – 2x(ii)a metal sheet of minimum area is used to make the frame. what should be the minimum area of metal sheet before cutting ? (a) 4x2 + 30x +50 (b) x2+ 27x +55 (c) 5x2+30 (d) 4x2 + 50 (iii)what is the area of required final metal frame ? (a) 4x2 + 30x +50 m2 (b) x2+ 27x +55 m2 (c) 4x2+50x m2 (d) 4x2 + 30 m2 (iv) if the area of the frame is 54 sq m, what is the value of x ? (a) 0.75 m (b) 3.0 m (c) 1.5 m (d) 1.8 m (v) what is the perimeter of the frame? (a) 36 m (b) 42 m (c) 45 m (d) 39 m

Answer»

Given : final area of the FRAME should be 54 sq m

Inner rectangle dimensions are l-10 b-5.

Outer is x meters from all sides

To Find : dimensions of the outer frame

Area of frame

Value of x

Perimeter of frame

Solution:

dimensions of the outer frame

10 + x + x and 5 + x + x

= 10 + 2x and 5 + 2x

Correct option is : c) (10 +2x) and (5 + 2x)

Area of frame = (10 +2x)(5 + 2x) = 50 + 20x + 10x + 4x²

= 4x² + 30x + 50

area of required final METAL frame

= 4x² + 30x + 50 - ( 10 * 5)

= 4x² + 30x

4x² + 30x = 54

=> 2x² +15X = 27

=> 2x² +15x - 27 = 0

=> 2x² + 18x - 3x - 27 = 0

=> 2x(x + 9) - 3(x + 9) = 0

=> (2x - 3)(x + 9) = 0

=> x = 3/2 x = - 9 ( x can not be negative )

Hence x = 1.5 m

Perimeter of frame : 2(10 + 2x + 5 + 2x) = 30 + 8x

=30 + 8(1.5)

= 42 m

Learn More:

The outer length and breadth of a photo frame is 60 cm × 40 cm.If .

brainly.in/question/8139125

fabricators has got a order for making a frame

brainly.in/question/30531046

Discussion

31.	1. 25,30,40 LCMfएलसीएम
Answer» ANSWER: 600 is the answer you REQUIRED please MARK it as BRAINLIEST and please FOLLOW me

31.

1. 25,30,40 LCMfएलसीएम

Answer»

ANSWER:

600 is the answer you REQUIRED please MARK it as BRAINLIEST and please FOLLOW me

Discussion

32.	CASE STUDY QUESTION 27 (PART-C)A black die and a white die are thrown at same timewhat is the probabilityC) The product of the numbers appearing on the top of the dice is less than 9
Answer» ufuvuvhvuzfxchouf7fxbgjoijuj5d ttosottoozz ugh ritt yyd fgyy ucj y7rt f8e s83h

32.

CASE STUDY QUESTION 27 (PART-C)A black die and a white die are thrown at same timewhat is the probabilityC) The product of the numbers appearing on the top of the dice is less than 9

Answer»

ufuvuvhvuzfxchouf7fxbgjoijuj5d

ttosottoozz

ugh

ritt

yyd

fgyy

ucj

y7rt

f8e

s83h

Discussion

33.	Find the Lcm of 650,900,1000
Answer» ANSWER: The LCM of 900 and 1000 is 9000.

33.

Find the Lcm of 650,900,1000

Answer»

ANSWER:

The LCM of 900 and 1000 is 9000.

Discussion

34.	Find union and intersection of {1, 2,3}and{2, 4,6}
Answer» ANSWER: work more extra sums to get PRACTICED

34.

Find union and intersection of {1, 2,3}and{2, 4,6}

Answer»

ANSWER:

work more extra sums to get PRACTICED

Discussion

35.	Three angles of a quadrilateral are 70°,85°and 85°.The fourh angle is---
Answer» by ANGLE SUM property of quadrilateral angle A + B + C + D =360 70+85+85+D=360 240+D=360 D=360-240 D=120 please FOLLOW me

35.

Three angles of a quadrilateral are 70°,85°and 85°.The fourh angle is---

Answer»

by ANGLE SUM property of quadrilateral

angle A + B + C + D =360

70+85+85+D=360

240+D=360

D=360-240

D=120

please FOLLOW me

Discussion

36.	Polymial x+x²+x³+x⁴ is a
Answer» Step-by-step EXPLANATION: QUARTIC POLYNOMIAL the DEGREE of the polynomial is 4 ao it is a quartic polynomial

36.

Polymial x+x²+x³+x⁴ is a

Answer»

Step-by-step EXPLANATION:

QUARTIC POLYNOMIAL

the DEGREE of the polynomial is 4

ao it is a quartic polynomial

Discussion

37.	The value of sin² 63° + cos²63 is
Answer» Answer: 1 Explanation: sin²(90-27°)+cos²(90-27°)= Sin²27°+cos²27°=1

37.

The value of sin² 63° + cos²63 is

Answer»

Answer:

1

Explanation:

sin²(90-27°)+cos²(90-27°)=

Sin²27°+cos²27°=1

Discussion

38.	Find ouadicantIf obscisso = 5ordinate = -2
Answer» ANSWER: SORRY I didn't KNOW about it

38.

Find ouadicantIf obscisso = 5ordinate = -2

Answer»

ANSWER:

SORRY I didn't KNOW about it

Discussion

39.	If tan A = 15/7, find the value of cosec A + cot A
Answer» Given:- TANA = $\sf{\dfrac{15}{7}}$ To FIND:- The value of cosecA and cotA Solution:- We know, TanA = $\sf{\dfrac{Perpendicular}{Base}}$ Therefore, $\sf{\dfrac{15}{7} = \dfrac{Perpendicular}{Base}}$ So now, We have, Perpendicular = 15 Base = 7 According to PYTHAGORAS THEOREM, $\sf{(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2}$ = $\sf{Hypotenuse = \sqrt{(15)^2 + (7)^2}}$ = $\sf{Hypotenuse = \sqrt{225 + 49}}$ = $\sf{Hypotenuse = \sqrt{274}}$ = $\sf{Hypotenuse = 16.6\:units}$ Now, CosecA = $\sf{\dfrac{Hypotenuse}{Perpendicular}}$ CosecA = $\sf{\dfrac{16.6}{15}}$ CotA = $\sf{\dfrac{Base}{Perpendicular}}$ CotA = $\sf{\dfrac{7}{15}}$ Now, CosecA + CotA = $\sf{\dfrac{16.6}{15} + \dfrac{7}{15}}$ = $\sf{\dfrac{16.6+7}{15}}$ = $\sf{\dfrac{31.6}{15}}$ Therefore the value of CosecA + CotA is $\sf{\dfrac{31.6}{15}}$ ______________________________________ Points to remember!!! $\sf{SinA = \dfrac{Perpendicular}{Hypotenuse}}$ $\sf{CosA = \dfrac{Base}{Hypotenuse}}$ $\sf{TanA = \dfrac{Perpendicular}{Base}}$ $\sf{CosecA = \dfrac{Hypotenuse}{Perpendicular}}$ $\sf{SecA = \dfrac{Hypotenuse}{Base}}$ $\sf{CotA = \dfrac{Base}{Perpendicular}}$ ______________________________________

39.

If tan A = 15/7, find the value of cosec A + cot A

Answer»

Given:-

TANA = $\sf{\dfrac{15}{7}}$

To FIND:-

The value of cosecA and cotA

Solution:-

We know,

TanA = $\sf{\dfrac{Perpendicular}{Base}}$

Therefore,

$\sf{\dfrac{15}{7} = \dfrac{Perpendicular}{Base}}$

So now,

We have,

Perpendicular = 15

Base = 7

According to PYTHAGORAS THEOREM,

$\sf{(Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2}$

= $\sf{Hypotenuse = \sqrt{(15)^2 + (7)^2}}$

= $\sf{Hypotenuse = \sqrt{225 + 49}}$

= $\sf{Hypotenuse = \sqrt{274}}$

= $\sf{Hypotenuse = 16.6\:units}$

Now,

CosecA = $\sf{\dfrac{Hypotenuse}{Perpendicular}}$

CosecA = $\sf{\dfrac{16.6}{15}}$

CotA = $\sf{\dfrac{Base}{Perpendicular}}$

CotA = $\sf{\dfrac{7}{15}}$

Now,

CosecA + CotA

= $\sf{\dfrac{16.6}{15} + \dfrac{7}{15}}$

= $\sf{\dfrac{16.6+7}{15}}$

= $\sf{\dfrac{31.6}{15}}$

Therefore the value of CosecA + CotA is $\sf{\dfrac{31.6}{15}}$

______________________________________

Points to remember!!!

$\sf{SinA = \dfrac{Perpendicular}{Hypotenuse}}$

$\sf{CosA = \dfrac{Base}{Hypotenuse}}$

$\sf{TanA = \dfrac{Perpendicular}{Base}}$

$\sf{CosecA = \dfrac{Hypotenuse}{Perpendicular}}$

$\sf{SecA = \dfrac{Hypotenuse}{Base}}$

$\sf{CotA = \dfrac{Base}{Perpendicular}}$

______________________________________

Discussion

40.	A and B working together can finish a piece of work in 8 days, while A alone can do it in 12 days. How much time will B alone take to finish it.
Answer» Answer: 4 DAYS Step-by-step explanation: If its 8 days together and A got 12 days - COUNT down from 12 until you get to 8 then you will have your ANWSER...

40.

A and B working together can finish a piece of work in 8 days, while A alone can do it in 12 days. How much time will B alone take to finish it.

Answer»

Answer:

4 DAYS

Step-by-step explanation:

If its 8 days together and A got 12 days - COUNT down from 12 until you get to 8 then you will have your ANWSER...

Discussion

41.	Find the compound interest on RS 5000 at 8 degree perannum for 3 years
Answer» ANSWER: to find compound interest, we will subtract PRINCIPAL amount from the amount i.e. I=A−P=5788.125−5000=Rs. 788. Step-by-step EXPLANATION: please mark me as the BRAINLIST

41.

Find the compound interest on RS 5000 at 8 degree perannum for 3 years

Answer»

ANSWER:

to find compound interest, we will subtract PRINCIPAL amount from the amount i.e. I=A−P=5788.125−5000=Rs. 788.

Step-by-step EXPLANATION:

please mark me as the BRAINLIST

Discussion

42.	The median of the data: 17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28 is: *1024128
Answer» ANSWER: accenture Cuestion 13 Read the following PASSAGE and answer the given question The bens petite Tatually know how is an under en stor Meso se muestrime Wie este fondevem asetusto efter every-seven de 2003 Team me tarwe som bare time to think een contestat de les temp 20 has a hint to widen tot Sport en sagte is pusgames to respondents in Westend vermogenne tags We spend a very large chun look me in with FLOW, OR? OSC

42.

The median of the data: 17, 2, 7, 27, 15, 5, 14, 8, 10, 24, 48, 10, 8, 7, 18, 28 is: *1024128

Answer»

ANSWER:

accenture

Cuestion 13

Read the following PASSAGE and answer the given question

The

bens petite Tatually know how is an under en stor

Meso se muestrime Wie este fondevem asetusto

efter every-seven de 2003 Team

me tarwe som bare time to think een contestat de les temp

20 has a

hint to widen tot

Sport en sagte is pusgames to respondents

in

Westend vermogenne tags

We spend a very large chun look me in with FLOW, OR?

OSC

Discussion

43.	N what ratio is the line segment joining the points A (-2, -3) andB(3,7) divided by the y- axis? Also, find the coordinates of the point of division.
Answer» ANSWER: ‍⬛‍ qwertyuiopbcgkzkgdjt Step-by-step EXPLANATION: asdfghjklzxcvbnm

43.

N what ratio is the line segment joining the points A (-2, -3) andB(3,7) divided by the y- axis? Also, find the coordinates of the point of division.

Answer»

ANSWER:

‍⬛‍

qwertyuiopbcgkzkgdjt

Step-by-step EXPLANATION:

asdfghjklzxcvbnm

Discussion

44.	Rahul brought 3 pens & 4 notebooks for Rs.95 and Rakesh brought 4 pens & 2notebooks for Rs.60. Form a pair of linear equations to represent this situation
Answer» Step-by-step EXPLANATION: LET the pen VALUE be X and the notebook value be y rahul brought, 3x+4y=95 rakesh brought, 4x+2y=60

44.

Rahul brought 3 pens & 4 notebooks for Rs.95 and Rakesh brought 4 pens & 2notebooks for Rs.60. Form a pair of linear equations to represent this situation

Answer»

Step-by-step EXPLANATION:

LET the pen VALUE be X and

the notebook value be y

rahul brought,

3x+4y=95

rakesh brought,

4x+2y=60

Discussion

45.	Write the additive inverse of each of the following 2upon 8
Answer» Answer: The ADDITIVE inverse of 2/8 is -2/8. Step-by-step explanation: hope it helps you PLEASE mark me as the BRAINLIEST and FOLLOW me

45.

Write the additive inverse of each of the following 2upon 8

Answer»

Answer:

The ADDITIVE inverse of 2/8 is -2/8.

Step-by-step explanation:

hope it helps you PLEASE mark me as the BRAINLIEST and FOLLOW me

Discussion

46.	If sp= rs.2100 and discount= rs.700 then find mark price and discount %.
Answer» ANSWER: Sp=rs 2100, Disc=rs 700 MP =2100+700 = 28oo Disc.%=700x100/2800 = 25%

46.

If sp= rs.2100 and discount= rs.700 then find mark price and discount %.

Answer»

ANSWER:

Sp=rs 2100, Disc=rs 700

MP =2100+700 = 28oo

Disc.%=700x100/2800 = 25%

Discussion

47.	If p(x)=2x+1 find p(-½)
Answer» ANSWER:(b) Given, p(X) = x2 – 2√2x + 1 …(i) On PUTTING x = 2√2 in Eq. (i), we get P(2√2) = (2√2)2– (2√2)(2√2) + 1 = 8 - 8 + 1 = 1 Step-by-step explanation:

47.

If p(x)=2x+1 find p(-½)

Answer»

ANSWER:(b) Given, p(X) = x2 – 2√2x + 1 …(i)

On PUTTING x = 2√2 in Eq. (i), we get

P(2√2) = (2√2)2– (2√2)(2√2) + 1 = 8 - 8 + 1 = 1

Step-by-step explanation:

Discussion

48.	When is Dr Neena gupta mathematician born?
Answer» Step-by-step explanation: 1984 Last year, woman Mathematician Dr. Neena Gupta solved one of algebra's great unsolved problems: the 70-year-old Zariski Cancellation PROBLEM. Gupta was born in 1984 in Kolkata (formerly Calcutta), India mark. as BRILLIANT thanks for all question

48.

When is Dr Neena gupta mathematician born?

Answer»

Step-by-step explanation:

1984

Last year, woman Mathematician Dr. Neena Gupta solved one of algebra's great unsolved problems: the 70-year-old Zariski Cancellation PROBLEM. Gupta was born in 1984 in Kolkata (formerly Calcutta), India

mark. as BRILLIANT thanks for all question

Discussion

49.	A cone of height 25cm and radius of base 6 cm is made up of modelling clay. a child reshapes it in the form of a sphere. the radius of the sphere moo
Answer» ANSWER: Your ans will be: Step-by-step explanation: Given that, the child reshapes cone with a sphere. So, the volume of sphere=Volume of cone. Height of coneh=24cm and RADIUS of cone =R=6cm ⇒ 4/3 πr^ 3 = 1/3 πr ^2h ⇒ 4/3 r ^3 = 1/3×6 ^2 ×24 ⇒r ^3= 1/4 ×864cm ^3 ⇒r=(3×72)^1/3 ⇒r=(2 3×3 3 ) ^1/3 ∴r=6cm Hence,radius of the sphere=6cm Hope so it will HELP you...✌️

49.

A cone of height 25cm and radius of base 6 cm is made up of modelling clay. a child reshapes it in the form of a sphere. the radius of the sphere moo

Answer»

ANSWER:

Your ans will be:

Step-by-step explanation:

Given that, the child reshapes cone with a sphere.

So, the volume of sphere=Volume of cone.

Height of coneh=24cm and RADIUS of cone =R=6cm

⇒ 4/3 πr^ 3 = 1/3 πr ^2h

⇒ 4/3 r ^3 = 1/3×6 ^2 ×24

⇒r ^3= 1/4 ×864cm ^3

⇒r=(3×72)^1/3

⇒r=(2 3×3 3 ) ^1/3

∴r=6cm

Hence,radius of the sphere=6cm

Hope so it will HELP you...✌️

Discussion

50.	एट द पावर 2 प्लस 15 एक्स प्लस 56 डिवाइडेड बाय एक्स प्लस 8
Answer» Answer: gffffrr I will be in the woy to you and your FAMILY and FRIENDS forever and offhand HI I will be you will PLAY a role in the woy to will be in the woy to you and your family and friends forever and EVER I will be in the woy to you and ever I will be in the woy to you and your

50.

एट द पावर 2 प्लस 15 एक्स प्लस 56 डिवाइडेड बाय एक्स प्लस 8

Answer»

Answer:

gffffrr I will be in the woy to you and your FAMILY and FRIENDS forever and offhand HI I will be you will PLAY a role in the woy to will be in the woy to you and your family and friends forever and EVER I will be in the woy to you and ever I will be in the woy to you and your

Discussion

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Find the value of x^2(x^2+x-1)+3 for x=-1​

ANSWER:

x^2(x^2+x-1)

I hope my answer is right...

please MARK me as BRAINLIEST...

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a A red card

A spade

Ton of club

d. Neither red nor King

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1. 25,30,40 LCMfएलसीएम ​

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please FOLLOW me

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sin²(90-27°)+cos²(90-27°)=

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From the point P (-1, 3), a perpendicular PQ is drawn to the line AB :3x-4y-16=0, find the coordinates of the foot of perpendicular

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