Answer:
<h2> 8m</h2>
Step-by-step explanation:
Step one:
given data
length of rectangle= 24.5m
let the width be x
width of square= 14m
let the length be x
Step two:
we know that the area of a rectangle is
Ar= Length * width
Ar=24.5*x-----------1
Also, the area of the square is
As= Length * width
for square L=W
As= 14*14-----------------2
As=196m^2
equating 1 and 2 we have
14*14=24.5x
196=24.5x
divide both sides by 24.5
x=196/24.5
x=8m
<u>The Breadth/width of the rectangular park is 8m</u>
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
First, we will establish that the shape of the window is a semi-circle. This means we must use the formula for the perimeter of a semi-circle to obtain the perimeter of the window.
The formula for the perimeter of a semi-circle is as follows:
Let perimeter of window or semi-circle = P
P = [ 2( Pi )r / 2 ] + 2r
Where r = radius of circle or semi-circle
From this, we will simply use the value of the radius given from the diagram in the problem and substitute it into the formula to obtain the perimeter of the window.
P = [ 2( Pi )r / 2 ] + 2r
r = 20
THEREFORE:
P = [ 2( Pi )( 20 ) / 2 ] + 2( 20 )
P = 20( Pi ) + 40
P = 102.83...cm^2
P = 102.8cm^2 ( to the nearest tenth )
FINAL ANSWER:
Therefore, the perimeter of the window is 102.8cm^2 ( to the nearest tenth ).
Hope this helps! :)
Have a lovely day! <3
Answer:
volume = 10.2 in³
Step-by-step explanation:
r = 2.7/2 = 1.35
volume = 4/3πr³ = 4/3(3.14)(1.35³) = 10.2 in³
Answer:
B) -2
Step-by-step explanation:
I got the slope by using two points on the line (0,7) and (4,-1)
Slope=y2-y1/x2-x1
(7--1)/(0-4)
=
8/-4
I then simplified 8/-4 to -2
You could also solve by finding the rise over run for two points on the line.
The rise is 2 and the run is -1, making it 2/-1 or -2