Answer:
Option D.
Step-by-step explanation:
The given equation is
It can be written as
To solve this equation, add 32 and 8.
Subtract 10 from 40.
Divide both sides by 30.
The value of g is 5 and wilhem is correct.
Therefore, the correct option is D.
Answer:
Colton solved 9 math problems and read 18 pages.
Answer: 4.5 minutes.
Step-by-step explanation:
1. You have the following information given in the problem above:
- Erica runs
in a minute.
- The school is
away from her home.
2. Therefore, to solve the exercise you must multiply
by 1 minute and divide this by
, as following:
![x=\frac{(0.75km)(1min)}{(0.166km)}\\x=4.5min](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%280.75km%29%281min%29%7D%7B%280.166km%29%7D%5C%5Cx%3D4.5min)
3. Therefore, the result is 4.5 minutes.
Answer:
![A=324\pi \text{ units}^2\approx1017.88\text{ units}^2](https://tex.z-dn.net/?f=A%3D324%5Cpi%20%5Ctext%7B%20units%7D%5E2%5Capprox1017.88%5Ctext%7B%20units%7D%5E2)
Step-by-step explanation:
The formula for arc length is:
![\stackrel{\frown}{A}=2\pi r(\frac{\theta}{360}})](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Cfrown%7D%7BA%7D%3D2%5Cpi%20r%28%5Cfrac%7B%5Ctheta%7D%7B360%7D%7D%29)
Where Θ is measured in degrees.
We know that the arc length is 8π when the degree is 80. So, substitute 8π for A and 80 for Θ:
![8\pi=2\pi r(\frac{80}{360})](https://tex.z-dn.net/?f=8%5Cpi%3D2%5Cpi%20r%28%5Cfrac%7B80%7D%7B360%7D%29)
Divide both sides by 2π:
![4=r\frac{80}{360}](https://tex.z-dn.net/?f=4%3Dr%5Cfrac%7B80%7D%7B360%7D)
Simplify the fraction:
![4=\frac{2}{9}r](https://tex.z-dn.net/?f=4%3D%5Cfrac%7B2%7D%7B9%7Dr)
Multiply both sides by 9/2:
![r=18](https://tex.z-dn.net/?f=r%3D18)
So, the radius is 18.
Now, we can find the area of the circle. The formula for the area of a circle is:
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
Substitute 18 into r:
![A=\pi (18)^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20%2818%29%5E2)
Simplify:
![A=324\pi \text{ units}^2\approx1017.88\text{ units}^2](https://tex.z-dn.net/?f=A%3D324%5Cpi%20%5Ctext%7B%20units%7D%5E2%5Capprox1017.88%5Ctext%7B%20units%7D%5E2)
And we're done!