Step-by-step explanation:
First of all we need to know the formula for the circumference which is: ![c=2\pi r](https://tex.z-dn.net/?f=c%3D2%5Cpi%20r)
We don't have the radius. What we only have is the area; therefore, we must use the area formula and extract the radius from it.
The formula for the area is:
Solve for r;
![r^2=\frac{A}{\pi}\\ r=\sqrt[]{\frac{A}{\pi} }](https://tex.z-dn.net/?f=r%5E2%3D%5Cfrac%7BA%7D%7B%5Cpi%7D%5C%5C%20r%3D%5Csqrt%5B%5D%7B%5Cfrac%7BA%7D%7B%5Cpi%7D%20%7D)
![r=\sqrt[]{\frac{50.24inch^2}{3.14} }](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B%5D%7B%5Cfrac%7B50.24inch%5E2%7D%7B3.14%7D%20%7D)
![r=\sqrt[]{16inch^2}\\ r=4inch](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B%5D%7B16inch%5E2%7D%5C%5C%20r%3D4inch)
Now that we've found the radius, we simply plug it into the circumference formula.
![C=2\pi r\\C=2(3.14)(4)\\C=25.12inch](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r%5C%5CC%3D2%283.14%29%284%29%5C%5CC%3D25.12inch)
Answer:
even
Step-by-step explanation:
An even function is symmetrical about the y- axis.
The graph of the function given is symmetrical about the t- axis and is therefore even.
Answer:
WY= squar root 55 + 4
Step-by-step explanation:
Its the first one because -3(-2)=6, 1(-2)=-2, 2(-2)=4 are all correct
Answer:
FG=30
Step-by-step explanation:
Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:
![FH=FG+GH](https://tex.z-dn.net/?f=FH%3DFG%2BGH)
We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:
![4x=(2x+10)+x](https://tex.z-dn.net/?f=4x%3D%282x%2B10%29%2Bx)
Solve for x. On the right, combine like terms:
![4x=3x+10](https://tex.z-dn.net/?f=4x%3D3x%2B10)
Subtract 3x from both sides:
![x=10](https://tex.z-dn.net/?f=x%3D10)
So, the value of x is 10.
To find the value of FG, substitute 10 into its x:
![FG=2x+10\\FG=2(10)+10](https://tex.z-dn.net/?f=FG%3D2x%2B10%5C%5CFG%3D2%2810%29%2B10)
Multiply:
![FG=20+10](https://tex.z-dn.net/?f=FG%3D20%2B10)
Add:
![FG=30](https://tex.z-dn.net/?f=FG%3D30)
And we're done!