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Artist 52 [7]
3 years ago
11

This pencil cup is made out of plastic. It is 5 inches tall and has a radius of 1.75 inches. How many square inches of plastic w

ere used to make the cup
Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Answer:

To make the cup 64.57 square inches of plastic were used.

Step-by-step explanation:

A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:

area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches

area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches

surface area of the cup = area of the base + area of the walls = 9.616 + 54.95

surface area of the cup = 64.57 square inches

To make the cup 64.57 square inches of plastic were used.

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Sin167cos107-cos167sin107
insens350 [35]
Sin 167 = 0.22495

cos 107 = -0.29237

cos 167 = -0.97437

sin 107 = 0.95630

(sin 167)(cos 107) - (cos 167)(sin 107)

(0.22495)(-0.29237) - ( -0.97437)(0.95630)

= 0.86602

hope this helps :)



6 0
3 years ago
IM ABOUT TO FAIL HELP PLZ!!!!!!!!
Julli [10]
The difference between -8 F and 14 F is 22 F.
7 0
3 years ago
Use given triangle to fill in the blank.<br> PLEASE HELP ME!!!!!!!!!!!!!!!
lina2011 [118]

Answer:

b/c

Step-by-step explanation:

Sin B = opposite side/ hypotenuse = AC/AB

3 0
2 years ago
Determine the equation of the line with slope 5 that passes through the point M(1, 2).
Nezavi [6.7K]
You're already given the slope, so the first step you must take is to find the y-intercept. To do this, you substitute the values of the coordinate M into y = 5x + c, with the x value substituting x and the y value substituting y. This gives us:
2 = (5 × 1) + c
2 = 5 + c
- 5
-3 = c

So now you know that the y-intercept is -3, you can see that your final answer must be the first option, y = 5x - 3.

I hope this helps!
6 0
3 years ago
The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d, from
kifflom [539]

Answer:

The jetski is 2.28 dB loud when the person is 41 feet away.

Step-by-step explanation:

Loudness (L) ∝ 1 / Distance² (d²)

Introduce a constant 'K'

L = K (1/d²)

L = K/d²

K = Ld²

Find the K from a previously known information: If a person 8 feet from a jetski hears 60 decibels loud

∴ d = 8 ft , L = 60 db

K = 60(8²) = <em>3840</em>

How loud is the jetski when the person is 41 feet away?

Distance is now 41 ft

since: L = K/d²

∴ L = 3840 / 41²

L = 3840 / 1681

L = 2.28 db

3 0
3 years ago
Read 2 more answers
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