$\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ \cline{1-1} \theta =\frac{3\pi }{2}\\ s=\frac{5\pi }{2} \end{cases}\implies \cfrac{5\pi }{2}=r\cdot \cfrac{3\pi }{2}$

$\bf \cfrac{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{3~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{5~~\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=r\implies \cfrac{5}{3}=r$

4 0

3 years ago

A circular running track is 1/4 mile long. Elena runs on this track completing each lap in 1/4 of an hour. What is Elena's runni

daser333 [38]

Answer:

She is going 1mph

Step-by-step explanation:

each lap is 1/4 of a mile and 1/4 of an hour so 4 laps = 1 mile and in 1 hour

7 0

3 years ago

How many solutions does the following equation have? -4-7+10x=-7+6x

stealth61 [152]

Answer:

Step-by-step explanation:

-4 - 7 + 10x = -7 + 6x...combine like terms

10x - 11 = 6x - 7

10x - 6x = -7 + 11

4x = 4

x = 4/4

x = 1.........ONE SOLUTION

4 0

3 years ago