The cost to cover the cirular region with mud is about $2940
<h3>How to calculate
area?</h3>
The circumference of the circular region is about 157 feet. Hence:
circumference = 2π * radius
157 = 2π * radius
Radius = 78.5 / π
The area is given as:
Area = π * radius² = π(78.5 / π)² = 1961.5 ft²
Cost = $1.5 * 1961.5 = $2940
The cost to cover the cirular region with mud is about $2940
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Answer:
To plot (4,2) start at the origin (0,0) and move right 4 units and up 2 units (4,2)

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<u>Given </u><u>equation</u><u> </u><u>-</u>

<u>solve </u><u>the </u><u>parenthesis </u><u>so </u><u>as </u><u>to </u><u>obtain </u><u>simpler </u><u>terms</u>

<u>solve </u><u>the </u><u>like </u><u>terms </u><u>and </u><u>you'll</u><u> </u><u>obtain </u><u>the </u><u>required</u><u> </u><u>equation</u><u> </u><u>!</u>

hope helpful ~
Answer:
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
Step-by-step explanation:
A {21,24,27,30}
B {21,23,25,27,29,31}
C {20,22,24,26,28,30,32}
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
Answer:
a)
where "
" stands for the number of miles driven.
b) He can drive as far as 250 miles to keep the rental cost limited to $140.
Step-by-step explanation:
a) Robert wants to make sure that the addition of the costs coming from the car rental per week ($91) plus the amount paid for the coverage of "x" number of miles (which goes as $0.14 times x) does not exceed $140 (which is the same as saying that this total cost must be smaller than or equal to $140.
In math terms, such is written as:

where "x" stands for the number of miles driven.
b) the total number of miles (x) he is allowed to cover given the $140 restriction is obtained by solving for "x" (the number of driven miles) in the inequality of part a):

which tells us that the number of driven miles (x) has to be smaller or equal to 350 miles. Then he can drive as far as 250 miles to keep the rental cost limited to $140.