<h3>
Answer: 18pi</h3>
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Explanation:
The area 81pi square meters leads to the radius 9 meters
Use the formula A = pi*r^2 to see why this is the case. You plug in A = 81pi and solve for r to get r = 9.
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Once you know the radius, you can determine the circumference C
C = 2*pi*r
C = 2*pi*9
C = 2*9*pi
C = 18pi
The circumference is the perimeter, or distance, around the circle.
Answer:
1. T =34
2.143 =exterior A
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees
T+H+E =180
T + 107+39 = 180
Combine like terms
T +146 = 180
Subtract 146 from each side
T +146-146 = 180-146
T =34
The exterior angle is the sum of the opposite interior angles in a triangle.
B+T =exterior A
66 +77 = exterior A
143 =exterior A
ANSWER
72 square feet
EXPLANATION
The perimeter of a rectangle is given by:
P= 2l+2w
It was given that, the perimeter of the rectangular mat, is 36 feet.
36= 2l+2w
Divide through by 2.

It was given also that, the length of the mat is twice its width.
This implies that,

Put equation (2) into equation (1) to get,



This means that the length is 12 ft.
The area of the rectangular mat is

Answer:
(-2,21)
Step-by-step explanation:
2 days ago, Paulo's commute time was halfway between his commute times 8 and 9 days ago.
8 days ago means that x-coordinate -8 represents this day. Count 8 units to the left and find that when x = -8, y = 24 minutes.
9 days ago means that x-coordinate -9 represents this day. Count 9 units to the left and find that when x = -9, y = 18 minutes.
Find halfway commute time between points (-8,24) and (-9,18):

then coordinates that Paulo should graph are
(-2, 21)
(-2 means 2 days ago, 21 is the halfway)