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:Allen is correct
Step-by-step explanation: Allen is correct because angle 2 has more information than angle 1 and angle 1 is only 30 degrees.
3/9 = x/36
Now cross multiply
108 = 9x
X = 12
Answer:
$162.50
Step-by-step explanation:
I=Prt
I=(5000)(0.065)(0.5)
I=162.50
0.5 = 6 months, which is half of a year
0.065 = the percent (6.5%) in decimal form
Answer:
5
5Step-by-step explanation:
If you use the distance formula you can solve it pretty easily. The distance formula is:
d = 
The two points you want are A and D. A is (-1, -4) and D is (3, -1). Plug that into the formula...
d = 
d = 
d = 
d = 
5
I can solve it in a different way if you want me to.
