Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.
Step-by-step explanation: We can use cosine to find the hypotenuse. ![cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}](https://tex.z-dn.net/?f=cos%2840%29%3D%5Cfrac%7B10%7D%7Bx%7D%20%5C%5Ccos%2840%29%20%28x%29%3D%5Cfrac%7B10%7D%7Bx%7D%28x%29%5C%5Ccos%2840%29%20%28x%29%20%3D10%5C%5C%5Cfrac%7Bcos%2840%29%20%28x%29%7D%7Bcos%20%2840%29%7D%20%3D%5Cfrac%7B10%7D%7Bcos%20%2840%29%7D%20%5C%5Cx%3D%5Cfrac%7B10%7D%7Bcos%2840%29%7D)
Using a calculator x is about 13.05
Using tangent we can find the length opposite of <C
![tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x](https://tex.z-dn.net/?f=tan%2840%29%3D%5Cfrac%7Bx%7D%7B10%7D%20%5C%5Ctan%2840%29%20%2810%29%3D%5Cfrac%7Bx%7D%7B10%7D%2810%29%5C%5Ctan%2840%29%20%2810%29%20%3D%20x)
Using a calculator x would be about 8.4
A: 1
B: 2
C: 4
D: 5
Total = 1 + 2 + 4 + 5 = 12
C:total = 4/12 = 1/3
A full circle has 360 deg.
1/3 * 360 deg = 120 deg.
The rectangle has an area of 18x8 = 144 sq in. The circle has an area of (pi)r^2 or (pi)3^2 =28.27sq in. Subtract 144 - 28.27 = 115.73