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Sergeu [11.5K]
3 years ago
15

Find the area of the regular polygon. pentagon with a radius of 4 ft

Mathematics
1 answer:
dangina [55]3 years ago
5 0
In this problem we need to find the apothem and the length of the side before we can find the area of the entire polygon. Each central angle for a regular pentagon is <span><span><span>360∘</span>5</span>=<span>72∘</span></span><span>. So, half of that, to make a right triangle with the apothem, is </span><span>36∘</span><span>. We need to use sine and cosine. 
</span><span><span>sin<span>36∘</span></span><span>4sin<span>36∘</span></span><span>8sin<span>36∘</span></span>n</span><span><span>=<span><span>.5n</span>4</span></span><span>=<span>12</span>n</span><span>=n</span><span>≈4.7</span></span><span><span> cos<span>36∘</span>=<span>a4</span></span><span>4cos<span>36∘</span>=a</span><span>a≈<span>3.24
</span></span></span>Using these two pieces of information, we can now find the area. 
<span>A=<span>12</span>(3.24)(5)(4.7)≈38.07 unit<span>s^2</span></span><span>.</span>
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What value of Y will satisfy the given equation y divided by 2y — 15 = 7/5​
guapka [62]

Answer:

\huge\boxed{\sf y = \frac{41}{5}  \ OR \ y = 8\frac{1}{5} }

Step-by-step explanation:

\sf 2y-15 = \frac{7}{5} \\\\Adding \ 15 \ to \ both \ sides\\\\2y = \frac{7}{5} + 15\\\\2y = \frac{7+75}{5} \\\\2y = \frac{82}{5} \\\\Dividing \ both \ sides \ bu 2\\\\y = \frac{82}{5*2} \\\\y = \frac{41}{5}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
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4 0
3 years ago
HELP A.S.A.P!!!! The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the ou
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When the outlier is removed The mean would increase.

<u>Step-by-step explanation:</u>

Outliers are the value that lies outside the set of data. i.e. the data doesn't fit in the group.

Removing outliers can affect mean more than median. Because outlier removal sometimes affect the median but in a small percentage or sometimes it will remain the same.

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78, 84, 82, 86, 84, 85, 83, 86, 82, 85, 84, 83, 86, 85, 86, 85.

Mean =\frac{Sum of the values}{Number of values}.

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Mean =\frac{1344}{16}.

Mean = 84.

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Mean =\frac{84+82+86+84+85+83+86+82+85+84+83+86+85+86+85}{15}.

Mean =\frac{1266}{15}.

Mean = 84.4.

The mean is increased.

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3 years ago
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