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
1 answer:
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:
The area of a trapezoid is calculated using:
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:
Using the assumed values, the length of material needed for the border is 74.4 feet
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Answer:
Step-by-step explanation:
Given
Required
Complete the model
[ ] x = 6.60
x = _ hundredths
Equate to x
Multiply both sides by 15
So, we have:
[ ] x = 6.60 =====>
Recall that:
This implies that:
Hence:
x = _ hundredths =====>
The coordinates of the 2 given points are W(-5, 2), and X(5, -4).
First, we find the midpoint M using the midpoint formula:
Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.
The slope of WX is
.
Thus, the slope n of the perpendicular line is
.
The equation of the line with slope
containing the point M(0, -1) is given by:
Answer: 5x-3y-3=0
First, we find the midpoint M using the midpoint formula:
Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.
The slope of WX is
Thus, the slope n of the perpendicular line is
The equation of the line with slope
Answer: 5x-3y-3=0