What is the area with circumference 36pi cm

1 answer:

5 0

$\bf \textit{circumference of a circle}\\\\
C=2\pi r\qquad 
\begin{cases}
r=radius\\
-----\\
C=36\pi 
\end{cases}\implies 36\pi =2\pi r
\\\\\\
\cfrac{36\pi }{2\pi }=r\implies \boxed{18=r}\\\\
-------------------------------\\\\
\textit{area of a circle}\\\\
A=\pi r^2\qquad A=\pi \cdot \boxed{18}^2$

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2 years ago

Algebra 1 polynomials hellllp

defon

A. 40x^2 + 240x + 200
Shape: Rectangle
Formula: A = LW
A = (10x + 10)(4x + 20)
= (10x)(4x) + (10x)(20) + (10)(4x) + (10)(20)
= 40x^2 + 200x + 40x + 200
= 40x^2 + 240x + 200
————————————————————-
2. 57,600 ft^2
Width:
4x + 20 = 160
4x = 140
x = 35
Plug-In:
10x + 10
10(35) + 10
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————————————-
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8 0

2 years ago

Simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2

Novosadov [1.4K]

Simplifying quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 we get x+4

Option d is correct.

Step-by-step explanation:

We need to simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2.

Writing in mathematical form:

$\frac{x^2+6x+8}{x+2}$

Solving:

Factorizing the numerator:

$\frac{x^2+6x+8}{x+2}\\=\frac{x^2+4x+2x+8}{x+2}\\=\frac{x(x+4)+2(x+4)}{x+2}\\=\frac{(x+2)(x+4)}{x+2}\\Cancelling\,\,x+2\,\,forom\,\,numerator\,\,and\,\,denominator:\\=x+4$