$\bf \textit{circumference of a semi-circle}\\\\
C=\pi r\qquad 
\begin{cases}
r=radius\\
-----\\
C=5.14
\end{cases}\implies 5.14=\pi r\implies \boxed{\cfrac{5.14}{\pi }=r}\\\\
-------------------------------\\\\
\textit{area of a semi-circle}\\\\
A=\cfrac{\pi r^2}{2} \implies A=\cfrac{\pi }{2}r^2\implies A=\cfrac{\pi }{2}\left( \boxed{\cfrac{5.14}{\pi }} \right)^2
\\\\\\
A=\cfrac{\pi }{2}\implies \cfrac{5.14^2}{\pi ^2}\implies A=\cfrac{26.4196}{2\pi }\implies A=\cfrac{13.2098}{\pi }$

5 0

2 years ago

The probability of two events that are not mutually exclusive may be calculated using the formula

Nataly [62]

Answer:

7/13

Step-by-step explanation:

P(A or B) = P(A) + P(B) − P(A and B)

P(red or jack) = P(red) + P(jack) − P(red and jack)

P(red or jack) = 26/52 + 4/52 − 2/52

P(red or jack) = 28/52

P(red or jack) = 7/13

7 0

2 years ago

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