31/18 is the answer.
To solve, find the common denominator. In this case, I used 54. You need to multiply each fraction to get 54 on the denominator of both.
Answer:
343
Step-by-step explanation:
Big brain calculator work
28 + 35 + 42 + 49 + 56 + 63 + 70 = 343
Answer:
24 meters
Step-by-step explanation:
The area of a circle can be found using the following formula.
![a=\pi r^2](https://tex.z-dn.net/?f=a%3D%5Cpi%20r%5E2)
We know that the area is 144pi m^2.
![a= 144\pi m^2](https://tex.z-dn.net/?f=a%3D%20144%5Cpi%20m%5E2)
Substitute 144pi m^2 in for a.
![144\pi m^2= \pi r^2](https://tex.z-dn.net/?f=144%5Cpi%20%20m%5E2%3D%20%5Cpi%20r%5E2)
We want to find the diameter. First, we must find the radius. We have to get the variable, r, by itself.
Divide both sides of the equation by pi.
![144\pi m^2/ \pi = \pi r^2 / \pi](https://tex.z-dn.net/?f=144%5Cpi%20%20m%5E2%2F%20%5Cpi%20%3D%20%5Cpi%20r%5E2%20%2F%20%5Cpi)
![144\pi m^2/ \pi = r^2](https://tex.z-dn.net/?f=144%5Cpi%20%20m%5E2%2F%20%5Cpi%20%3D%20%20r%5E2)
![144 m^2= r^2](https://tex.z-dn.net/?f=144%20m%5E2%3D%20r%5E2)
The variable, r , is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.
![\sqrt{144 m^2} =\sqrt{r^2}](https://tex.z-dn.net/?f=%5Csqrt%7B144%20m%5E2%7D%20%3D%5Csqrt%7Br%5E2%7D)
![\sqrt{144 m^2} =r](https://tex.z-dn.net/?f=%5Csqrt%7B144%20m%5E2%7D%20%3Dr)
![12 m= r](https://tex.z-dn.net/?f=12%20m%3D%20r)
The radius of the circle is 12 meters, but the question asks for diameter. The diameter is twice the radius.
![d= r*2](https://tex.z-dn.net/?f=d%3D%20r%2A2)
The radius is 12 m.
![d= 12 m*2](https://tex.z-dn.net/?f=d%3D%2012%20m%2A2)
Multiply
![d= 24 m](https://tex.z-dn.net/?f=d%3D%2024%20m)
The diameter of the circle is 24 meters.