Question

Help Please nothing i get is the right answer

Answer 1

9514 1404 393

Answer:

L = 882/121 feet

Explanation:

Set the appropriate variables in the equation to the given values and solve for the unknown.

`T=2\pi\sqrt{(L)/(32)}\\\\3=2\left((22)/(7)\right)\sqrt{(L)/(32)} \qquad\text{fill in given values}\\\\ (3\cdot7)/(44)=\sqrt{(L)/(32)} \qquad\text{multiply by $(7)/(44)$}\\\\ \left((21)/(44)\right)^2=(L)/(32)\qquad\text{square both sides}\\\\ (32\cdot441)/(1936)=L \qquad\text{multiply by 32}\\\\ \boxed{L=(882)/(121)}\qquad\text{reduce the fraction}`

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Additional comment

That's about 7.3 feet. (You can compare this to what you know about the time it takes for a cycle when swinging on a swing set.)