1. The formula for calculate the perimeter of a rectangle, is:
P=2L+2W
P is the perimeter of the rectangle (P=320 feet).
L is the lenght of the rectangle.
W is the width of the rectangle.
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2. The problem says that the length of the rectangle is three times the width, so you have:
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L=3W
3. When you substitute L=3W and P=320, into P=2L+2W, you obtain:
P=2L+2W
320=2(3W)+2W
320=6W+2W
8W=320
W=320/8
W=40 feet
4. The barn forms one end of the rectangle. Therefore the linear feet of fence (x) is:
x=P-W
x=320 feet-40 feet
x=280 feet
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How many linear feet of fence must he buy?
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The answer is: 280 feet
Answer:
85.71% probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
Uniformly distributed between 20 minutes and 44 minutes.
This means that .
What is the probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping
We know that it takes less than 41 minutes, so we can update b to 41.
So
85.71% probability that it takes Evelyn less than 38 minutes given that it takes less than 41 minutes for her to go grocery shopping
Answer:
(3, -3)
Step-by-step explanation:
To solve for a system of equations, use substitution.
First, solve for one variable in an equation.
2x - 3y = 15
Add 3y to both sides.
2x = 3y + 15
Divide both sides by 2 to get x by itself.
x = 1.5y + 7.5
Put this in the other equation.
5x + 2y = 9
Substitute the variable.
5(1.5y + 7.5) + 2y = 9
Distribute the 5 inside the 1.5y + 7.5.
7.5y + 37.5 + 2y = 9
Combine like terms.
9.5y + 37.5 = 9
Subtract 37.5 from both sides.
9.5y = -28.5
Divide both sides by 9.5.
y = -3.
Now take this value and put it in the other equation to get your x.
2x - 3y = 15
Substitute variable.
2x - 3(-3) = 15
Multiply.
2x + 9 = 15
Subtract 9 from both sides.
2x = 6
Divide both sides by 2.
x = 3.
Your pair is (3, -3).
Step-by-step explanation:
1. 2463.00864 cm²
2.615.75216 cm²
3.1232 cm²
Answer:
10
Step-by-step explanation: