Simplify:
2 answers:
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Answer:
The answer is 596 square feet
Step-by-step explanation:
Recall the following formulas for area:
Rectangle of lenght l and width w:
Triangle of base b and height h:
In our case, since we have a pyramid with rectangular base, so we have 5 sides: the rectangular base and 4 triangles, that are grouped in two pairs of identicall triangles. Let us call the triangles T1 and T2. Then the total surface area is given by
surface area = Area of the base + 2*Area of T1 + 2* Area of T2
The base is a rectangle of lenght 16 and width 12, so the area is 16*12 = 192.
T1 is a triangle of base 16 and height 14, so it has area 16*14/2 = 112.
T2 is a triangle of base 12 and height 15, so it has area 15*12/2 = 90.
So the total area is
Area = 192+2*112+2*90 = 596.
The line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025
<h3>What is the line of best fit?</h3>A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
We have data shown in the table:
To find the line of best fit, we will calculate its slope and y-intercept.
We know the slope is given by:
where n = 5
After calculating, we get,
and
m = 105000/50 = 2100
For y-intercept b:
After calculating:
b = -4166040
The line becomes:
y = 2100x -4166040
If x = 2025 put this value in the line, we get:
y = 86460
Thus, the line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025
Learn more about the line of best fit here:
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