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2 years ago

7

What can be concluded about a

1 answer:

hammer [34]2 years ago

3 0

Answer:

b c e

Step-by-step explanation:

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Are all integers rational

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If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 5 meters, the area of the rect

ZanzabumX [31]

<span>Let y= original side So A = LW 60 = (y+15)(y-13) (y+15)(y-13) = 60 y^2 + 2y - 195 = 60 y^2 + 2y- 195 - 60 = 0 y = -17 or y= 15 Toss out the negative solution to get y= 15 as the only solution. So the square has a side length of 15 meters. The area of this square is 15^2 = 15*15 = 225 square meters.</span>

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3 years ago

PLEEASSSSEEEE HHEEEEELLLLPPPPPPPP !!!!!!!!!!!!!!!!!!!!!!!!!!! Circle R is shown. Line segments Q R and S R are radii. The length

Inessa [10]

Answer:

$144\pi\ un^2.$

Step-by-step explanation:

In the attached diagram, circle R is shown. Line segments QR and SR are radii and QR = SR = 18 units.

The measure of the central angle QRS is $\dfrac{8\pi}{9}$

1. Find the area of the whole circle:

$A_{circle}=\pi r^2=\pi \cdot 18^2=324\pi \ un^2.$

2. Note that the whole circle is determined by the full rotation angle with measure $2\pi$ radians. So,

$\begin{array}{cc}\text{Angle}&\text{Area}\\ \\2\pi &324\pi \\ \\\dfrac{8\pi }{9}&A_{sector}\end{array}$

So, write a proportion:

$\dfrac{2\pi}{\frac{8\pi}{9}}=\dfrac{324\pi}{A_{sector}}$

Cross multiply

$2\pi \cdot A_{sector}=324\pi \cdot \dfrac{8\pi }{9}\\ \\A_{sector}=162\pi \cdot \dfrac{8}{9}=144\pi\ un^2.$

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