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tester [92]
3 years ago
15

PLEASE HELP 20 POINTS!!!!!!!!!

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Answer:

30+(25*x)

Step-by-step explanation:

You begin with 30 extra desks, so that explains the +30

Then you have 25 desks for every 1 classroom (x)

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A partial cylinder lies on its side. The bases are a 90° sector of a circle. What is the exact volume of the partial cylinder?
LenKa [72]

Answer:

180%


Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Toni’s table is 96 inches in diameter. If she covers her circular table with a table cloth that extends 6 inches over the edge o
viktelen [127]

Answer:

2916π in^2

Step-by-step explanation:

Step one:

given data

initial table diamter= 96in

we are told that the extension is 6 in over the edge

the new diameter is = 96+6+6= 108in

the radius is = 108/2=54in

we added 6 twice because it will be on the two sides of the diameter

Step two:

the expression for the area is

Area= πr^2

Area=  π*54^2

Area= 2916π in^2

4 0
3 years ago
The population of Colorado is more than 5 x 106 people, while the population of the United States is more than 3 x 108 people. W
densk [106]

Answer:

it's d

Step-by-step explanation:

because there is about x170 more people then 108 in both u.s. and Colorado

7 0
3 years ago
What is the value of x?
nexus9112 [7]

50 will be the answer. Because one of the angle is exterior so we need to make that angle interior by 180- angle... then we use the method of finding the third side by

180-(<1+<2)

8 0
3 years ago
If you can solve all parts I will give brainliest (also give strategy)
Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is <u>18.2 inches</u>

Part b. The volume of the cone is 37\frac{1}{2}  \cdot \pi in.³

Part c. The area of the brim, <em>A</em> = <u>36·π in.²</u>

Part d. The area of the brim is found by <u>subtracting the area of the base of the cone from the area covered by the perimeter of the brim</u>

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

r = \dfrac{C}{2 \cdot \pi}

Which gives;

r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

  • The slant height, <em>s</em> ≈ <u>18.2 inches</u>

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h

Therefore;

V = \dfrac{1}{3} \times \pi \times 2.5^2 \times  18 = 37\frac{1}{2}  \cdot \pi

  • The volume of the cone, V = 37\frac{1}{2}·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ <em>R</em> = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, <em>A</em> = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

  • The area of the brim, <em>A</em> = <u>36·π in.²</u>

Part d. The procedure for solving the question in part c, is described as follows;

  • The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

4 0
3 years ago
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