9514 1404 393
Answer:
see attached
Step-by-step explanation:
To solve for b, undo what is done to b.
![\displaystyle C=2\pi\sqrt{\frac{a^2+b^2}{2}}\\\\\frac{C}{2\pi}=\sqrt{\frac{a^2+b^2}{2}}\\\\\left(\frac{C}{2\pi}\right)^2=\frac{a^2+b^2}{2}\\\\\frac{C^2}{2\pi^2}=a^2+b^2\\\\\frac{C^2}{2\pi^2}-a^2=b^2\\\\\boxed{b=\sqrt{\frac{C^2}{2\pi^2}-a^2}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20C%3D2%5Cpi%5Csqrt%7B%5Cfrac%7Ba%5E2%2Bb%5E2%7D%7B2%7D%7D%5C%5C%5C%5C%5Cfrac%7BC%7D%7B2%5Cpi%7D%3D%5Csqrt%7B%5Cfrac%7Ba%5E2%2Bb%5E2%7D%7B2%7D%7D%5C%5C%5C%5C%5Cleft%28%5Cfrac%7BC%7D%7B2%5Cpi%7D%5Cright%29%5E2%3D%5Cfrac%7Ba%5E2%2Bb%5E2%7D%7B2%7D%5C%5C%5C%5C%5Cfrac%7BC%5E2%7D%7B2%5Cpi%5E2%7D%3Da%5E2%2Bb%5E2%5C%5C%5C%5C%5Cfrac%7BC%5E2%7D%7B2%5Cpi%5E2%7D-a%5E2%3Db%5E2%5C%5C%5C%5C%5Cboxed%7Bb%3D%5Csqrt%7B%5Cfrac%7BC%5E2%7D%7B2%5Cpi%5E2%7D-a%5E2%7D%7D)
I think I would set a proportion for this. 1 1/2 hours is 90 minutes. So 90 minutes and 90 miles.
90 300
—- = ——.
90 X
As you can see, miles on top and minutes on the bottom. Now, cross multiply. 90x = 300(90)
90x=27,000
Divide by 90 on both sides to get x alone.
90x/90= x 27,000/90=300
300 minutes would be 5 hours!
All you have to do is divide the score by how many questions there are.
Score = 36
Total = 50
36 ÷ 50 = 0.72
0.72 = 72%
Answer = 72%
Hope this helped :)
The inverse for this operation would be to find the equation for "x" since it's the equation for "y." Inverse means reverse in direction or position. To find the inverse of "y = -3/(x+4) , you would need to start by using the order of operations. Here's where you start:
y<span> = -3/(x+4)
</span>
Next, you want to get the (x+4) to the other side. Since it's being divided, multiply this number on both sides.
y = -3/(x+4) ⇒ (x+4)y = -3
Now, you need to get y on the opposite side. Divide both sides by y.
(x+4)y = -3 ⇒y÷ (x+4)y = -3 ÷ y
The y's cancel on the left, so you would have the equation:
x+4 = -3/y
Now to get x by itself, subtract 4 from both sides.
x+4 = -3/y
-4 -4
⇒x = -3/y -4 is your final answer.