Answer:
choice A; 128.52 square feet
Step-by-step explanation:
This shape is made up of a semi-circle and a rectangle. The area of the rectangle will be 12*6 = 72 sq ft.
The formula for area of a circle is 
*
. also r=radius. We are given the diameter, 12 feet. The radius is diameter/2, so the radius of the circle will be 6 feet.
Since pi is infinite we round it to 3.14.
Plug in the values and our expression will be (3.14*
)/2 because it is a semi-circle. Simplify that to (3.14*36)/2 = 113.04/2 = 56.52 sq ft.
Remember to add the area of the rectangle and semi-circle. 72 + 56.52 = 128.52 sq ft.
C = 15x + 50
let c be $125 since c represents the cost
15x + 50 = 125
15x = 125 - 50
15x = $75
x = 75 ÷ 15
x = 5
Answer:
x ≈ 14.57
Step-by-step explanation:
using the sine ratio in the right triangle
sin59° = 
= 
( multiply both sides by 17 )
17 × sin59° = x , then
x ≈ 14.57 ( to 2 dec. places )
Answer: The first option.
Step-by-step explanation:
1. By definition, when a circle circumscribed about a triangle it passes through all the vertices of that triangle (As you know, a triangle has three vertices).
2. As you can see in the figure attached, the only circle that passes through three vertices of the triangle is the the circle of the first optin. Therefore, you can conclude that that circle is circumscribed about the triangle.
Circumference = πd = 3.14*559 = 1755.26
The spokes divide the circumference into 32 arcs. Each arc length is 1755.26/32 = 54.75 mm
