a joker cap is in the form of a right circular cone of base radius 10.5cm and height 36cm. find the area of sheet to make 20 such caps....?

plz answer this

Answers

Answer 1

We know that

l² = r² + h²

l² = (10.5)² + (36)²

l² = 110.25 + 1296

l² = 1406.5

l = √(1406.5)

l = 37.5 cm

Now,

CSA of cone = πrl

=> 22/7 × 10.5 × 37.5

=> 22 × 1.5 × 37.5

=> 1237.5 cm²

Area of 20 caps = 20 × 1237.5

=> 24750 cm²

Answer 2

Answer:

24740 cm²

Step-by-step explanation:

First let us find the slant height (l) of the corn

l²  =  r²  +  h²

l²  =  (10.5)² + (36)²

l²  =  110.25 +  1296

l²  =  1406.25

l  =  √1406.25

l  = 37.5 cm

Now let us use this formula to find the area of a corn

π r l

π × 10.5 × 37.5

1237.00 cm²

And now let's find the area of 20 caps or corns

1237.00 × 20

24740 cm²

Hope this helps you :-)


Related Questions

75% of 32 students are interested in Mathematics. How many are not interested in Mathematics ?

Answers

Answer:

The answer is 8!

Step-by-step explanation:

75% is 3/4 of 100 so you take 32÷4 and get 8, hope this helps:)

75% of 32 students are interested in Mathematics.Therefore, number of students who are interested in Mathematics [tex] = 75\% \: \: of \: \: 32 \\ = \frac{75}{100} \times 32 \\ = \frac{3}{4} \times 32 \\ = 3 \times 8 \\ = 24[/tex]So, number of students interested in Mathematics is 24.Therefore, number of students who are not interested in Mathematics = 32 - 24 = 8So, 8 students are not interested in Mathematics.

Alternative method:

Percentage of students who are interested in Mathematics = 75%Then, percentage of students who are not interested in Mathematics = (100 - 75)% = 25%Therefore, number of students who are not interested in Mathematics [tex] = 25\% \: \: of \: \: 32 \\ = \frac{25}{100} \times 32 \\ = \frac{1}{4} \times 32 \\ = 1 \times 8 \\ = 8[/tex]

Answer:

8

Hope you could get an idea from here.

Doubt clarification - use comment section.

Help??
Trying to find g
1/3(g-3)=3

Answers

Answer:

g = 12

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] (g - 3) = 3 ← multiply both sides by 3 to clear the fraction

g - 3 = 9 ( add 3 to both sides )

g = 12

How can you use congruent triangles to prove the statement true?

Answers

angle KLM and angle KNM are congruent single they have the sign there congruent through them as well as parallel

A squid is 42 3/4 feet below rhe surfaceof the ocean. A seagull is 12 1/2 feet above the surface. What is the distance between the squid and the seagull?​

Answers

Answer: 55 1/4

Step-by-step explanation: If a squid is 42 3/4 feet below the surface of the ocean and a seagull is 12 1/2 feet above the surface of the ocean, you would need to add together 42 3/4 and 12 1/2, to get your answer which is 55 1/4.

42 3/4 + 12 1/2 = 55 1/4

If f(x)=3x+2 and g(x)=x2−x, find the value. f(x)+1

Answers

Answer:

F(x) +1 = 3x+3

Step-by-step explanation:

F(x)+1= 3x+3

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

i think it’s the 3rd one
its the 3rd answer!!!

The Truth Table Represents Statement P,Q,R

Which statement is true for rows A, C and E

R—> (p^q)
R—>(p v q)
(q^r)—>p
(q v r) —>p

Answers

Recall that a ⇒ b ≡ ¬a ∨ b.

• r ⇒ (p ∧ q) ≡ ¬r ∨ (p ∧ q)

In row C, q is false so p ∧ q false, and r is true so ¬r is false.

¬r ∨ (p ∧ q) ≡ false ∨ false ≡ false

• r ⇒ (p ∨ q) ≡ ¬r ∨ (p ∨ q) = p ∨ q ∨ ¬r

In each of rows A, C, and E, at least one of p or q is true, so

p ∨ q ∨ ¬r = true

• (q ∧ r) ⇒ p ≡ ¬(q ∧ r) ∨ p ≡ (¬q ∨ ¬ r) ∨ p = p ∨ ¬q ∨ ¬r

In row E, p is false and both q and r are true, so ¬q and ¬r are both false.

false ∨ false ∨ false = false

• (q ∨ r) ⇒ p ≡ ¬(q ∨ r) ∨ p ≡ (¬q ∧ ¬r) ∨ p

In row E, p is false and both q and r are true, so both ¬q and ¬r are false.

(¬q ∧ ¬r) ∨ p ≡ (false ∧ false) ∨ false ≡ false ∨ false ≡ false

What happens to the value of the expression 20 + a, a as a increases?

Answers

Answer:

With the increase of the value of a ,the value of the expression 20+a will also increase.

Step-by-step explanation:

Someone please help this is soooooo hard

Answers

Step-by-step explanation:

1. 10x-7=5x+3; ⇒ 5x=10; ⇒ x=2. If x=2, then

2. QS=10*2-7=14;

3. SR=5*2+3=13;

4. m(∠PSR)=15*2+42=72°;

5. m(∠PSQ)=180-m∠(PSR)=180-72=108°.

Find the center and radius of the circle x^2+y^2-10x-12y+45=0.

Answers

Answer:

The center is (5, -6) with a radius of r

Step-by-step explanation:

First put the equation in Standard Form for a circle:

(x + a)² + (y + b)² = r²

Now, Group the term

x² + y² - 10x - 12y + 45 = 0

x² - 10x + y² - 12y = - 45

Then, The x and y terms must be perfect squares

x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36

add constant both sides we get,

x² - 10x + 25 + y² - 12y + 36 = 16

Now, Simplify

(x - 5)² + (y + 6)² = 16

√(x - 5)² + (y + 6)² = √16

x - 5 + y + 6 = 4

Here, (a,b) = (5, -6) and = 16, with r = 4

Thus, The center is (5, -6) with a radius of r

-TheUnknownScientist 72

Complete the sentence.

Forty-five percent of 120 is
.

Answers

Answer:

54

Step-by-step explanation:

45% * 120 = 54

The answer is 54 120•45/100=54

5i/x-5i what is the simplest form?

Answers

51/x - 5i

this is the answerrrr

please pick the right anwers no bots please

Answers

Answer:

1. 2/3

2. 0

3. 7/2

4. -2

5. -2

6. 1

7. -4/3

8. Undefined

9. 8

10. 9/5

A. Gregorio has to make 84 cookies for scout
camp. How many dozen cookies is that?

Answers

Answer:

7 dozen cookies

Step-by-step explanation:

12 cookies are in a dozen, 84 / 2

If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048 meter) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!!!!!!

Answers

Answer:

3200 meters

Step-by-step explanation:

because it is

Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.

The number of laps around the track to run for 3.1 miles is 12.5.

What is unit conversion?

Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.

We have,

The track length = 400 meters

One lap = 400 meters.

We have,

3.1 miles

1 foot = 0.3048 meter ____ (1)

We know that,

[ 1 mile = 5280 foot ]

So,

3.1 miles = 3.1 x 5280 foot

3.1 miles = 16368 foot

From (1),

3.1 miles = 16368 x 0.3048 meter = 4988.9664 meters

Now,

Since 400 meters is one slap.

The number of laps in 4988.9664:

Divide 4988.9664 by 400

= 4988.9664 / 400

= 12.47

Rounding to the nearest tenth.

= 12.5

Thus the number of laps around the track to run for 3.1 miles is 12.5.

Learn more about unit conversion here:

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Determine if the two triangles are congruent. If so, select the appropriate congruence postulate. If not, select the reason why.​

Answers

Answer:

Asa

Step-by-step explanation:

Because if u look left to right on one triangle there is a angle and in between they have a com on line and on the right theres another angle so There for it’s angle side angle

BRAINLIEST!Blake is the Human Resources manager for a correctional facility. What is one task that Blake might have as part of his job?

A.
confirming appointments for the director of the facility

B.
looking over the costs of new supplies for the facility

C.
mediating a dispute between two employees

D.
organizing the outdoor video surveillance of the facility

Answers

The answer is A confirming appointments for the director of the facility

Answer:

Organising the outdoor video surveillance

Step-by-step explanation:

See he is a manager.

His work is to take care of all resources of companyVideo surveillance must be used for security

If you could please help, what is the missing answer?

Thank you to anyone who helps out!

Answers

Answer:

48

Step-by-step explanation:

let s be the snowman, g be the girl, and t be the christmas tree

2s+g=24

2t+2ts=132

3t+2g=26

subtract 2 times the first equation from the third one to get

3t-4s=-22

from the second equation we can deduce

2t(1+s)=132

t(1+s)=66

t=66/(1+s)

Substitute:

3(66)/(1+s)-4s=-22

3(66)/(1+s)=4s-22

3(66)=(4s-22)(1+s)

3(66)=-18s+4s^2-22

4s^2-18s-220=0

using the quadratic formula, we get s = 10, s = -5.5.

2(10)+g=24

g=4

2t(1+10)=132

2t=12

t=6

So 2s+t*g= 20+6*4=48

you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r

A light bulb can be at most 50 watts to be safely used in this light fixture

Answers

Somewhat true but I need more information to this problem

What is the answer to: 1a to the power of 349 b to the power of 28 c to the power of 2 d to the power of 82 e to the power of 48 f to the power of 920 g to the power of 40 h to the power of 38 i to the power of 492 j to the power of 23 k to the power of 43 l to the power of 982 m to the power of 48 n to the power of 62=(4/2 x 10 x(the square root of 100)

Answers

Answer:

Its 7.908764333

Step-by-step explanation:

Trust me :)

I NEED HELP PLEASE SHOW WORK ON A PIC

Answers

answers and step by step work on following picture

As per question

We shall proceed in graphical way

2x+4y≥8x+2y≥4--(1)

And

x-4y<6--(2)

Graph attached

If you have a book to read that is 20 pages, and you have read 15% of the book, how many pages as you read?

Answers

Answer:

you would of read 3 pages

Step-by-step explanation:

Suppose you know the area of the yard is 7,500 square feet. How can you find the value of a?


—help and it comes with a picture

Answers

Answer:

a = 50

Step-by-step explanation:

From the introduction, you know that the area is 3a^2

You also know that it is 7500 square feet. \

So the two must be equal

3a^2 = 7500                    Divide by 3

a^2 = 7500/3

a^2 = 2500

The square root of 2500 is 50

sqrt(a^2) = sqrt(2500)

a = 50

Sheri is making 4 pounds of mixed nuts. She will use One-third the amount of macadamia nuts as she does almonds. A graph titled Sheri's Mixed Nut Recipe has pounds of macadamia nuts on the x-axis, and pounds of almonds on the y-axis. 2 lines intersect at (1, 3). How many pounds of each nut will she use? 1 pound of macadamia nuts; 3 pounds of almonds 3 pounds of macadamia nuts; 1 pound of almonds 4 pounds of macadamia nuts; no almonds 4 pounds of almonds; no macadamia nuts.

Answers

1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.

Given that,

Sheri is making 4 pounds of mixed nuts.

She will use One-third the number of macadamia nuts as she does almonds.

A graph titled Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis, and pounds of almonds on the y-axis. 2 lines intersect at (1, 3).

We have to find,

How many pounds of each nut will she use?

According to the question,

Total mixed nuts are 4 pounds,

She will use One-third the number of macadamia nuts as she does almonds.

2 lines intersect at (1, 3).

Therefore,

Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis,

At x-axis, the point 1 lies.

So, macadamia nuts have 1 pound.

And pounds of almonds on the y-axis,

At y-axis, the point 3 lies.

So, almond nuts have 3 pounds.

Hence, 1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.

For more details about Graphs refer to the link given below.

https://brainly.com/question/9351049

Answer:

A/ the first one

Step-by-step explanation:

Did the edg

3 How is the value of 2 - 3 like the value of 3 - 2? How is it different? -​

Answers

Answer:

They are not diffrent at all. may look diffrent from the question but lets look a little closer!

Step-by-step explanation:

2-3=1 and 3-2=1 both answers look the same because the equion is Both 3s in 3-2 and 2-3 looks no diffrent.  To be honest one is only backwords from the other one! But remeber to think BIG and look at those diffrentses.

i believe X=4, but i could be wrong with the whole thing

Answers

Answer:

A. x = 4

B. RQ = 6

C. 48 square units

Step-by-step explanation:

A. 3x - 2 = 10

3x = 12

x = 12/3

B. a^2 + b^2 = c^2

8^2 + b^2 = 10^2

64 + b^2 = 100

b = sqrt (100 - 64

b = 6

C. Area of a triangle = (b*h)/2

b = (2)(6) = 12

Area = (12 * 8)/2 = 48 square units

can someone help me with this ​

Answers

Answer:

Step-by-step explanation:

Bro this is so hard ​

Answers

Answer:

c = 50 degrees and d = 30 degrees

Answer:

C = 80 degrees

D = 30 degrees

Step-by-step explanation:

To find the angle of C you have to add the other angles of that triangle. The total angle of a triangle is 180 degrees.

50 + 30 = 80

Subtracted 80 from 180 to get the other missing angle next to angle c. That is 100. A straight line is 180 degrees so you get 80 degrees for angle C.

To find the angle of D you add angle C, which is 80, to the 100 degree angle and get 180. The total degrees for a four-sided shape is 360 degrees.   Then you try to figure out the other missing angle next to the 30-degree angle. A straight line is 180 degrees so subtract 30 from 180 to get the value of the missing angle.

180 - 30 = 150

Add the 180 degrees from earlier to 150 and you get 330. Subtract 330 from 360 and you get 30 degrees. Therefore the angle for d is 30 degrees.

What is the length of the line?

answer choices

A 7
B 10
C 29
D 21

Answers

Answer:

[tex]\sqrt{29}[/tex]

Step-by-step explanation:

The line has a horizontal length of 2 units and a vertical length of 5 units

The line is then the hypotenuse h of a right triangle.

Using Pythagoras' identity

h² = 2² + 5² = 4 + 25 = 29 ( take square root of both sides )

h = [tex]\sqrt{29}[/tex]

The length of the line given is √29 units.

Hence, the correct option is C.

Given is line on the cartesian plain we need to calculate its length.

Refer to the figure attached.

The figure can be converted into a right triangle with perpendicular = 5 units and the base = 2 units.

The line asked will act as the hypotenuse, so, to find its length we will use the Pythagorean theorem,

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the perpendicular side of the right triangle is given as 5 units, and the base is given as 2 units.

Let's denote the length of the hypotenuse as 'x'.

According to the Pythagorean theorem, we have:

x = 5² + 2²

Simplifying this equation:

x² = 25 + 4

x² = 29

To find the length of the hypotenuse, we take the square root of both sides:

x = √29

So, the length of the hypotenuse, in this case, is approximately √29 units.

Learn more about Pythagorean theorem, click;

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What integer $x$ satisfies $\frac{1}{4}<\frac{x}{7}<\frac{1}{3}$?

Answers

If 1/4 < x/7 < 1/3, then

7/4 < x < 7/3

1.75 < x < 2.333…

so that x = 2.

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