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GarryVolchara [31]
3 years ago
13

Find the area of the regular polygon. Round your answer to the nearest hundredth.

Mathematics
2 answers:
mario62 [17]3 years ago
8 0
The area is 289.22 units squared
Inga [223]3 years ago
7 0

Answer:

area = 289.24 units²

Step-by-step explanation:

divide the polygon into 9 equal triangles

the top angle of a triangle will be 360°/9 = 40°

the sides of a triangles are both 10 units

The base of a triangle is 6.84 units

the height of a triangle is:

cos 20° = height/10

0.9397 = height/10

height = 9.4 units

The area of a triangle = 1/2(6.84)(9.4) = 32.13 units²

the polygon is made from 9 of these triangles, so 9 x 32.13 = 289.24 units²

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musickatia [10]
Biggest is all nine's
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greatest
999999
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10000
4 0
3 years ago
Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the p
KIM [24]

Answer:

<em>1885.5 m^3 of water</em>

<em></em>

Step-by-step explanation:

I'll assume this is the complete question

<em>Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14 </em>

<u><em>The pool forms</em></u><em> a cylinder with a radius of 12 feet and a height of 4.5 feet.</em>

<em></em>

height of pool = 4.5 ft

radius of pool12^{2} = 12 ft

height of water is 4 inches below pool top

<em>12 inches make 1 ft</em>

4 inches = 4/12 ft = 0.33 ft

Therefore, height of water = 4.5 - 0.33 = 4.17 ft

<em>volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed</em>

volume of cylinder formed by the water = volume of water = πr^{2}h

volume = 3.14  x 12^{2} x 4.17 = <em>1885.5 m^3 of water</em>

3 0
2 years ago
Select the correct answer.<br> Solve
Molodets [167]

Answer:

B 1 1/7

Step-by-step explanation:

- 9 2/7 - ( -10 3/7)

We know subtracting a negative is like adding

- 9 2/7 +10 3/7

10 3/7 - 9 2/7

Putting this vertical

10  3/7

-9  2/7

-----------------

1   1/7

5 0
2 years ago
Solve for x to the nearest
loris [4]
Rad15
use the pythagorean theorem on both triangles to find x
y^2 + 6^2 = 10^2
y=8
7^2 + x^2 = 8^2
x=radical 15
3 0
3 years ago
Read 2 more answers
2+Inx=5 How to solve?
irga5000 [103]
Ln x=5-2
ln x=3
ln x is base e log x
so,
x=e^(3)
x=20.0855369232
4 0
3 years ago
Read 2 more answers
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