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svp [43]
3 years ago
5

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.

Mathematics
1 answer:
tatuchka [14]3 years ago
4 0

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: \frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3} square units

(22)

Similar to (21)

Area = 216\sqrt{3} square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

altitude=\frac{\sqrt{3}}{2}*side

side = \frac{36}{\sqrt{3}}

Hence, area of the hexagon will be: 648\sqrt{3} square units

(24)

Given is the inradius of an equilateral triangle.

Inradius = \frac{\sqrt{3}}{6}*side

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = \frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3} square units

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laila [671]

Answer:

4 x 100 = 400

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Step-by-step explanation:

8 0
3 years ago
if you were to solve the following system by substitution, what would be the best variable to solve for and from what equation?
Romashka-Z-Leto [24]

Answer:

see below

Step-by-step explanation:

2x+8y=12 3x-8y=11

If we have to solve by substitution, Take the first equation and divide by 2

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x+4y = 6

Then subtract 4y from each side

x = 6 -4y

Then substitute this into the second equation

This is best solved by elimination

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3x-8y=11

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5x = 36

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6 0
2 years ago
NEED HELP ASAP!!!! PLEASE!!! Explain the answer!!
xz_007 [3.2K]
She is wrong because she did the square root of 25 multiplied by 2, she should have just done the square root of 50.

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4 0
3 years ago
Ryan goes the mall with his friends after school. At the mall he purchases four pairs of basketball shorts and a pair of sneaker
Korvikt [17]

Answer:

$25.00

Step-by-step explanation:

200-100=100

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4 0
3 years ago
Read 2 more answers
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!
Evgesh-ka [11]

Answer:

C. Add the equations

Step-by-step explanation:

Adding both the equations will help eliminating 5y.

6 0
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