Answer:
12 m
Step-by-step explanation:
This can be solved using the Pythagorean theorem
a^2 = b^2 + c^2
20^2= 16^2 + c^2
400= 256 + c^2
400-256= c^2
144 = c^2
c = √144
c= 12
9514 1404 393
Answer:
779.4 square units
Step-by-step explanation:
You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.
One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...
A = (1/2)r²sin(α)
Since there are n such triangles, the area of the n-gon is ...
A = (n/2)r²sin(360°/n)
__
For a hexagon (n=6) with radius 10√3, the area is ...
A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units
Answer:
.75
Step-by-step explanation:
$12 / 16 = $0.75
D/7.29 = 1.5/4.05
d = (1.5/4.05)7.29 = 2.7
