Answer:
A = 113.1 in^2
Step-by-step explanation:
The diameter is 12 inches
The radius is d/2 = 12/2 = 6 inches
The area of a circle is
A = pi r^2
Assuming pi is used by the pi button on the calculator
A = pi * 6^2
A =113.097335
Rounding to the nearest tenth
A = 113.1
![{(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ {(x - 2)}^{2} + {(y - ( - 4))}^{2} = {(5)}^{2} \\ {(x - 2)}^{2} + {(y + 4)}^{2} = 25](https://tex.z-dn.net/?f=%20%7B%28x%20-%20h%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%20k%29%7D%5E%7B2%7D%20%20%3D%20%20%7Br%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%7B%28x%20-%202%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%20%28%20-%204%29%29%7D%5E%7B2%7D%20%20%3D%20%20%7B%285%29%7D%5E%7B2%7D%20%20%5C%5C%20%20%7B%28x%20-%202%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20%2B%204%29%7D%5E%7B2%7D%20%20%3D%2025)
(h, k) is the point of the circle and since the center and the radius is given, we can the center and the radius in the general formula (the first line I wrote).
Y + 4 + 3(y+2)
y + 4 + 3y + 3*2
4y + 4 + 6
4y + 10
z^2 + z+ 4z^3 + 4z^2
5z^2 + z + 4z^3
1/4 (16 + 4p)
16/4 + 4p/4
4 + p
Hi there!
First, we need to determine the volume.
1/2 × 2 × 7/2 = 7/2 in cubed
3.5 cubes with sidelengths of 1in can fit in, since both units are three dimensional and 7/2 ÷ 1 = 3.5
7 cubes with sidelengths of 1/2 can fit because 7/2 ÷ 1/2 = 7
Hope this helps!
Answer:
Distance between the points (-3,1) and (1, -2),
![\sqrt{ {(1 + 3)}^{2} + {( - 2 - 1)}^{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7B%281%20%2B%203%29%7D%5E%7B2%7D%20%2B%20%20%7B%28%20-%202%20-%201%29%7D%5E%7B2%7D%20%20%7D%20)
![= \sqrt{ {(4)}^{2} + {( - 3)}^{2} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%20%7B%284%29%7D%5E%7B2%7D%20%2B%20%20%7B%28%20-%203%29%7D%5E%7B2%7D%20%20%7D%20)
![= \sqrt{16 + 9} = \sqrt{25} = 5](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B16%20%2B%209%7D%20%20%3D%20%20%5Csqrt%7B25%7D%20%20%3D%205)
Option C