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NARA [144]
2 years ago
9

The plan for the Thorne’s backyard play area, shaped like a trapezoid, is shown. The area of the play area is 286.56 square feet

. A border is planned around the perimeter of the play area. How many feet of material are needed for the border?
Mathematics
1 answer:
lorasvet [3.4K]2 years ago
6 0

The length of material needed for the border is the perimeter of the backyard play area

<h3>How to calculate the length of material needed </h3>

The area of the play area is given as:

Area = 286.56

The area of a trapezoid is calculated using:

Area = 0.5 * (L1 + L2) * H

Where L1 and L2, are the parallel sides of the trapezoid and H represents the height.

The given parameter is not enough to solve the length of material needed.

So, we make use of the following assumed values.

Assume that the parallel sides are: 25 feet and 31 feet long, respectively.

While the other sides are 10.2 feet and 8.2 feet

The length of material needed would be the sum of the above lengths.

So, we have:

Length = 25 + 31 + 10.2 + 8.2

Length = 74.4

Using the assumed values, the length of material needed for the border is 74.4 feet

Read more about perimeters at:

brainly.com/question/17297081

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5 0
3 years ago
Evaluate∣2x+7∣ for x=-4
yanalaym [24]

∣2x+7∣ for x=-4

Use the substitution method

∣2*-4+7∣

Mutiply first then add +7

∣2*-4∣= -8

∣-8+7∣= -1

Whenever there is a negative number for absolute value , the number becomes a + positive number.

∣-1∣= 1

Answer:

1

5 0
3 years ago
The graph below shows a line of best fit for data collected on the amount of time teenagers spend on the computer and
patriot [66]

Answer:

C) 30 minutes

Step-by-step explanation:

According to the line of best fit, when x=360, y=30, which means that a teenager spends 30 minutes watching television if they spend 360 minutes on the computer.

4 0
3 years ago
The blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet 2 inches=7 feet. The family waThe bluep
lubasha [3.4K]

<u>Corrected Question</u>

The blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new​ blueprint? A rectangle is labeled width = 12 inches.

Answer:

7 Inch

Step-by-step explanation:

The width of the room on the old blueprint = 12 Inches

<u>Scale on the old blueprint: </u>

2 inches = 7 feet.

Therefore: 1 Inch =7/2 feet

12 Inches =12 X 7/2 feet =42 feet

The actual width of the room is 42 feet.

<u>Scale on the new blueprint</u>

1 inch equals = 6 feet; which we can reorder as:

6 feet=1 inch

1 feet =1/6 Inch

Therefore:

42 feet = 42 x 1/6 Inch =7 Inch

Thus, the width of the living room on the new​ blueprint is 7 Inch.

7 0
3 years ago
What is the inverse of the function below?<br><br> f(x) = 2^x + 6
Helen [10]

The inverse of this function would be f(x) = \frac{Log(x - 6)}{Log2}.



You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.



f(x) = 2^{x} - 6 ----> Switch f(x) and x



x = 2^{f(x)} - 6 ----> Add 6 to both sides



x + 6 = 2^{f(x)} -----> Take the logarithm of both sides in order to get the f(x) out of the exponent



Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2



\frac{Log(x + 6)}{Log2} = f(x) ----> And switch the order for formatting purposes.



f(x) = \frac{Log(x + 6)}{Log2}



And that would be your new inverse function.

6 0
3 years ago
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