Is times and divide the same explain
2 answers:
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Answer:
336.02 square centimeters
Step-by-step explanation:
The surface area is the area of all the surfaces of the prism shown.
The prism has 7 surfaces.
Top and Bottom are pentagons with side lengths of 5.
The other 5 side surfaces are rectangles with length 10 and width 5.
Note the formulas of area of pentagon and area of rectangle below:
Area of Rectangle = Length * Width
Area of Pentagon = , where a is the side length
Lets find area of each of the surfaces:
<u>Top Surface</u> (Pentagon with side length 5) =
<u>Bottom Surface</u> = same as Top Surface = 43.01
<u>Side Surface</u> (rectangle with length 10 and width 5) = 10 * 5 = 50
There are 5 side surfaces that are each 50 sq. cm. so area would be:
<u>Area of 5 Side Surface</u> = 5 * 50 = 250
Total Surface Area = 250 + 43.01 + 43.01 = 336.02 square centimeters
Answer:
24 trees per acre
Step-by-step explanation:
Let x be the optimal tree density per acre and y be the number of bushels yield per tree
Since for each unit change of x from 28 trees/acre, we have 2 unit change of y from 40 bushels per tree in the reversed direction
Change of x from 28 is x - 28
Change of y from 40 is y - 40
Therefore we have y - 40 = -2(x - 28) or y = 40 - 2(x - 28) = -2x + 96
The total bushels per acre should be y bushels/tree * x tree/acre. We want to optimize this. Substitute the above equation in for y and we have
To find the maximum value of this, we can take the first derivative and set it to 0
We know this is a maxima because . So T is maximum when x = 24 trees per acre