The coordinates of the vertices of a polygon are (−2,1), (−3,3), (−1,5), (2,4), and (2,1).

Mathematics

1 answer:

tino4ka555 [31]3 years ago

5 0

15.9 units is the answer plus just for the future you should try plotting them down and adding that to the question.

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Alyssa is painting her bedroom blue. Each of four walls has dimensions 12.9 ft by 9.9 ft. How much area will she paint?

elixir [45]

Answer:

510.84 ft²

Step-by-step explanation:

Given that,

dimensions of wall = 12.9ft by 9.9ft

height of wall = 12.9ft

width of wall = 9.9ft

there are total 4 walls in a bedroom to be painted blue.

Formula to calculate area of one wall

<h3>Height x Width</h3>

Formula to calculate area of four walls

<h3>4 (Height x Width)</h3>

= 4( 12.9ft x 9.9ft)

= 4 (127.71 ft²)

= 510.84 ft²

So area Alyssa will paint = 510.84 ft²

<em>(assuming she will paint only wall s of her room not the ceiling)</em>

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4 0

4 years ago

Find the circumference of a circle whose area is 24 pi ft ^2

lianna [129]

$\bf \textit{area of a circle}\\\\
A=\pi r^2~~
\begin{cases}
r=radius\\
-----\\
A=24\pi 
\end{cases}\implies 24\pi =\pi r^2\implies \cfrac{24\pi }{\pi }=r^2
\\\\\\
24=r^2\implies \boxed{\sqrt{24}=r}\\\\
-------------------------------\\\\
\textit{circumference of a circle}\\\\
C=2\pi r\qquad \qquad \implies C=2\pi\left( \boxed{\sqrt{24}} \right)~~
\begin{cases}
24=2\cdot 2\cdot 2\cdot 3\\
\qquad 2^2\cdot 6
\end{cases}
\\\\\\
C=2\pi \sqrt{2^2\cdot 6}\implies C=2\pi (2\sqrt{6})\implies C=4\sqrt{6}~\pi$