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Nata [24]
3 years ago
12

Find the area of a regular polygon with 7 sides that has a side length of 6 inches and an apothem of 8 inches

Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0

We can always split a regular polygon with n sides into n triangles, whose base is the side of the polygon and whose height is the apothem of the polygon. So, the sum of the areas of all these triangles is

A=n\times \dfrac{s\cdot a}{2}

where n is the number of sides, s is the side length, and a is the apothem length.

So, you just need to plug you values in: in your case, you have n=7,\ s=6,\ a=8

So, the formula becomes

A=7\times \dfrac{6\cdot 8}{2} = 7 \times 6\cdot 4 = 168

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A university's freshman class has 6200 students. 4836 of those students are majoring
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According to the solving 78% of the freshman class are Economics majors.

<h3>What does a percentage mean?</h3>

percentage, a relative figure signifying hundredths of any amount. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

<h3>Why is it called percent?</h3>

The word "percent" comes from the Latin adverb per centum, which means "by the hundred." In the sixteenth century, the Latin expression made its way into English. Later, it was shortened to % with a final period.

<h3>According to the given data:</h3>

It is given that the total number of students in freshman class = 6200

Total number of students majoring in Economics = 4836

Here, we are asked to find the percentage of the freshman class who are majoring in Economics.

Percent of students majoring Economics =  (Number of students majoring/ Economics  Total number of students) x 100

= \frac{4836}{6200} x 100

= 78%

According to the solving 78% of the freshman class are Economics majors.

To know more about Percentage visit:

brainly.com/question/14979505

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