Answer:
Area = 6.25
ft^2
Step-by-step explanation:
Area = ![\pi \\](https://tex.z-dn.net/?f=%5Cpi%20%5C%5C)
![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D%20)
The diameter is 5 feet. That makes the radius 2.5 feet
Area = ![\pi \\](https://tex.z-dn.net/?f=%5Cpi%20%5C%5C)
![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D%20)
Area = ![\pi \\](https://tex.z-dn.net/?f=%5Cpi%20%5C%5C)
![2.5^{2}](https://tex.z-dn.net/?f=2.5%5E%7B2%7D%20)
Area = 6.25
ft^2
What is a half? 1/2 = .5
Four quarters make a whole. So one is 1/4 = .25
.125 for an eighth
.0625 for a sixteenth
<h3>Answer: 22 degrees</h3>
=======================================
Explanation:
Use the law of cosines to isolate angle A
a^2 = b^2 + c^2 - 2*b*c*cos(A)
3^2 = 5^2 + 7^2 - 2*5*7*cos(A) ... plug in a=3, b=5, c=7
9 = 25 + 49 - 70*cos(A)
9 = 74 - 70*cos(A)
74 - 70*cos(A) = 9
-70*cos(A) = 9 - 74 .... subtract 74 from both sides
-70*cos(A) = -65
cos(A) = -65/(-70) ... divide both sides by 70
cos(A) = 13/14
A = arccos(13/14) .... apply the arcosine function to both sides
A = 21.7867892982619
This rounds to 22 degrees
➨ Let (x+2) = a ➩ ![xa+1a](https://tex.z-dn.net/?f=xa%2B1a)
Then we factor a-term out of the expression ➩ Common Factor ➩ ![a(x+1)](https://tex.z-dn.net/?f=a%28x%2B1%29)
Then convert from a back to x+2
Thus, our answer would be ➩ ![(x+2)(x+1)](https://tex.z-dn.net/?f=%28x%2B2%29%28x%2B1%29)