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)
Answer:
8
Step-by-step explanation:
You just find the prime factors of each number in order to find the GCF.
Ignore the "53 hours" part, since we're interested only in the pay for 48 hours.
($22/hr)(48 hrs) = $1,056 in total pay.
Answer:4
Step-by-step explanation:
diagonals of a rectangle are equal therefore QS=RT, 14x+10=11x+22, and solve for x to get 3x=12, so x equals 4
Esaey
obviously a diference of 2 perfect suqres
(a-b)(a+b)=a²-b²
so
(j+7)(j-7)=j²-7² or j²-49