Answer:

Step-by-step explanation:

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Answer:
median = 17.5
Step-by-step explanation:
The median is the middle value of a data set arranged in ascending order. If there is not a middle value then the median is the average value of the numbers either side of the middle.
Data in ascending order is
8, 15, 17, 18, 19, 21
The median is between 17 and 18, hence
median =
= 17.5
Answer:
the area of the hexagon is approx. 187.1 in²
Step-by-step explanation:
Picture this regular polygon as being a hexagon made up of six equilateral triangles of side 12 in. We find the area of one such triangle and then multiply that by 6 to obtain the total area of the hexagon.
One such equilateral triangle has three sides all of length 12 in, and all the interior angles are 60°. The height of one such triangle is
h = (12 in)sin 60°, or
√3
h = (12 in) -------- = 6√3 in
2
So, with base 12 in and height 6√3 in, the area of one such equilateral triangle is
A = (1/2)(12 in)(6√3 in) = 36√3 in²
and the total area of the hexagon is 6(36)√3 in², or approx. 187.1 in²