2 years ago

Find four consecutive odd integers such that 5 times the sum of the first and the third is 15 more than 5 times the fourth.

Mathematics

1 answer:

Dvinal [7]2 years ago

7 0

Answer:

The required numbers are :

$\boxed{ \boxed{ 5,7,9 \: and \: 11}}$

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The perimeter of a semicircle is 5.14 feet. What is the semicircle’s area?

hammer [34]

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