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
Answer:
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Step-by-step explanation:
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Answer:
-3/2=slope
y-int = (0,1)
Equation= Y=-3/2x+1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step 1. Find the slope (by using the slope-formula)
m = slope
Step 2. Write the equation (using the slope and the points)
Here's how to do it:
Slope-intercept Formula 
whrere m = slope and b = y-intercept
Plug in the slope into the Slope-intercept Formula
Find the y-intercept (b) by using a point and substituting their x and y values
Point: (3, 7)
Step 3. Write the equation in Slope-intercept form
