Answer:
=13.73 ft²
Step-by-step explanation:
The diameter of the largest possible circle that can be cut out of a square is equal to the length of the side of the square.
Therefore the diameter of the circle cut from a square of side 8ft =8ft
r=4ft
Area of the remaining board= Area of square- area of circle
=side²-πr²
=8²-π×4²
=64-16π
=13.73 ft²
Answer:
desmos .com
Step-by-step explanation:
Answer:
7 5/12
Step-by-step explanation:
first, subtract 4 5/6 from 6 2/3 by converting 6 2/3 to 6 4/6
5 3/4 + (6 4/6 - 4 5/6) = 5 3/4 + 1 4/6
* I borrowed 6/6 or '1' from the 6 and made 4/6 into 10/6
5 3/4 equals 5 9/12 and 1 4/6 equals 1 8/12
adding them gives you:
6 17/12 which is the same as 6 + 1 5/12, or 7 5/12
It would be $ 6,750 or a total of $19,250
Answer: 
<u>Step-by-step explanation:</u>
![12cos\bigg(\dfrac{2\pi}{5}x\bigg)+10=16\\\\\\12cos\bigg(\dfrac{2\pi}{5}x\bigg)=6\\\\\\cos\bigg(\dfrac{2\pi}{5}x\bigg)=\dfrac{1}{2}\\\\\\cos^{-1}\bigg[cos\bigg(\dfrac{2\pi}{5}x\bigg)\bigg]=cos^{-1}\bigg(\dfrac{1}{2}\bigg)](https://tex.z-dn.net/?f=12cos%5Cbigg%28%5Cdfrac%7B2%5Cpi%7D%7B5%7Dx%5Cbigg%29%2B10%3D16%5C%5C%5C%5C%5C%5C12cos%5Cbigg%28%5Cdfrac%7B2%5Cpi%7D%7B5%7Dx%5Cbigg%29%3D6%5C%5C%5C%5C%5C%5Ccos%5Cbigg%28%5Cdfrac%7B2%5Cpi%7D%7B5%7Dx%5Cbigg%29%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5C%5Ccos%5E%7B-1%7D%5Cbigg%5Bcos%5Cbigg%28%5Cdfrac%7B2%5Cpi%7D%7B5%7Dx%5Cbigg%29%5Cbigg%5D%3Dcos%5E%7B-1%7D%5Cbigg%28%5Cdfrac%7B1%7D%7B2%7D%5Cbigg%29)
