The equation that could be used to determine the unknown side length, M of the logo is A = 7M
<h3>How to determine the equation?</h3>
From the question, we have the following parameters:
- Logo: Rectangle
- Length, L = 7 feet
Represent the area of the logo with A, and M represents the unknown side
The area (A) of the rectangle is calculated using:
A = L * W
Substitute 7 for L, and M for W
A = 7M
Hence, the equation that could be used to determine the unknown side length, M of the logo is A = 7M
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A = 27
B = 9
Total orange = 6
One orange wedge = 6
Total wedge = 6*6 = 36
36 / 4 = 9
9*3 = 27
36-27 = 9
If it is helpful t
Answer:
n=22 or 252=11(22)+10
Step-by-step explanation: 252=11n+10. Start by attempting to isolate the varyable by subracting 10 from both sides--> 242=11n, divide by 11--> 22=n
PROOF 252=11*22+10=242+10=252
The volume of sphere is
feet cubed.
Step-by-step explanation:
Given,
Surface area of sphere = 196π square feet
Surface area of sphere = 4πr²
We will find radius of sphere.
![4\pi r^2=196\pi](https://tex.z-dn.net/?f=4%5Cpi%20r%5E2%3D196%5Cpi)
Dividing both sides by 4π
![\frac{4\pi r^2}{4\pi}=\frac{196\pi}{4\pi}\\\\r^2=49](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cpi%20r%5E2%7D%7B4%5Cpi%7D%3D%5Cfrac%7B196%5Cpi%7D%7B4%5Cpi%7D%5C%5C%5C%5Cr%5E2%3D49)
Taking square root on both sides
![\sqrt{r^2}=\sqrt{49}\\r=7](https://tex.z-dn.net/?f=%5Csqrt%7Br%5E2%7D%3D%5Csqrt%7B49%7D%5C%5Cr%3D7)
The radius is 7 feet.
Volume of sphere = ![\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
![Volume=\frac{4}{3}\pi (7)^3\\\\Volume= \frac{4}{3}\pi *343\\\\Volume = \frac{1372}{3}\pi](https://tex.z-dn.net/?f=Volume%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%287%29%5E3%5C%5C%5C%5CVolume%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%2A343%5C%5C%5C%5CVolume%20%3D%20%5Cfrac%7B1372%7D%7B3%7D%5Cpi)
The volume of sphere is
feet cubed.
Keywords: volume, surface area
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