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
You gotta show us the equations and solutions for an answer.
Answer:
y = -6
Step-by-step explanation:
We are given;
1/3(2y+6)=y+4
We are required to solve for the value of X
First, we open the brackets;
(2/3)y + 2 = y + 4
Combining the like terms
(2/3)y - y = 4-2
Solving for y
(-1/3)y = 2
-y = 6
y = -6
Hence, the value of y is -6
Subtracting 3.14r from both sides, we get c-3.14r=x
2 + 3 = 5
2 uncool cats to 3 cool cats to 5 total cats.
120 paws/(4 paws per cat) = 30 cats
3 to 5 = x to 30
3/5 = x/30
5x = 3 * 30
5x = 90
x = 18
Answer: There are 18 cool cats.
