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The area of a regular hexagon is 10.4 what is the measure of the apothem rounded to the nearest tenth of an inch

2 Answers

4 votes

Answer:

B. 1.7 in.

Explanation:

If the area of the regular hexagon is 10.4 in.2, the measure of the apothem, rounded to the nearest tenth of an inch is 1.7 inches.

3 votes

9514 1404 393

Answer:

1.7 inches

Explanation:

We must assume the area is 10.4 square inches if the answer is in inches.

__

The area of a regular hexagon in terms of its apothem 'a' is ...

A = (2√3)a^2

So, the apothem is ...

a = √(A/(2√3)) ≈ √(10.4/3.464) ≈ √3

a ≈ 1.7

To the nearest tenth, the apothem is 1.7 inches.

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User Sean Letendre
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