Answer:
![r=5](https://tex.z-dn.net/?f=r%3D5)
Explanation: We have to find the radius of the circle provided the central angle and the arc-length, the formula used to determine the radius is as follows:
![\begin{gathered} S=r\theta\Rightarrow(1) \\ r=? \\ S=\frac{10\pi}{3} \\ \theta=\frac{2\pi}{3} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20S%3Dr%5Ctheta%5CRightarrow%281%29%20%5C%5C%20r%3D%3F%20%5C%5C%20S%3D%5Cfrac%7B10%5Cpi%7D%7B3%7D%20%5C%5C%20%5Ctheta%3D%5Cfrac%7B2%5Cpi%7D%7B3%7D%20%5Cend%7Bgathered%7D)
Plugging in the known information in equation (1) and solving for the unknown variable r gives the following answer:
![\begin{gathered} \begin{equation*} S=r\theta \end{equation*} \\ \frac{10\pi}{3}=r\frac{2\pi}{3}\rightarrow10=r2 \\ r=\frac{10}{2}=5 \\ r=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cbegin%7Bequation%2A%7D%20S%3Dr%5Ctheta%20%5Cend%7Bequation%2A%7D%20%5C%5C%20%5Cfrac%7B10%5Cpi%7D%7B3%7D%3Dr%5Cfrac%7B2%5Cpi%7D%7B3%7D%5Crightarrow10%3Dr2%20%5C%5C%20r%3D%5Cfrac%7B10%7D%7B2%7D%3D5%20%5C%5C%20r%3D5%20%5Cend%7Bgathered%7D)
Therefore the value of the radius is 5:
Answer:
25
Step-by-step explanation:
You have to do base x height divided by 2
50/2
Answer:
14 rides
Step-by-step explanation:
23.50-6= 17.5
17.5/1.25=14
Answer:
5 -2√10 = C
Step-by-step explanation:
√25 -√40
√25 = √5 x5 = √5² = 5
√40 = √5 x 8 = √5x 2x4 = √10x4 = √10x 2² = 2√10 (when the 2 comes back into the square root it become 2²)
√25 -√40 = 5 -2√10