10. angle APB = (1/2) arc AB
108 = (1/2) arc AB
multiply both sides by 2 to clear the fraction
216 = arc AB
11. Area of regular Octagon s = 5 in
A = (P * apothem)/2 => => If you divide the octagon into 8 triangles, the apothem is the perpendicular height of the triangle.
A = (5 * 8 * 6)/2
A = 120 in^2
Area of regular Hexagon s = 5 in
A = (5 * 6 * 4.3)/2
A = 129 in^2
7% of 650
= 7/100 * 650
= 0.07 * 650
= 45.5
$45.5
Answer:
It should be 42%
Step-by-step explanation:
Ok equilateral triangle
altitude=27
height=27
if you drwa the height, you see that the equilateral triangle is split up into 2 right trnalges
base=1/2 of one side
hypotonuse=1 side
vertical side=27
represent measure of 1 side as x
base=x/2
hypotonuse=x
vertical side=27
we have a right triangle
use pythagoran theorem
a^2+b^2=c^2
a=x/2
b=27
c=x
so
(x/2)^2+27^2=x^2
(x^2)/4+729=x^2
multiply both sides by 4 to clear fraction
x^2+2916=4x^2
subtract x^2 fromboth sides
2916=3x^2
divide both sides by 3
972=x^2
squuare root both sides
18√3
one side is 18√3 feet or aprox 31.1769 feet
