Let x represent the side length of the base.
The area of the base and roof are each x^2, so their cost together will be
.. (8 +9)x^2 = 17x^2
The height of the shed will be 125/x^2, so the area of one side will be
.. (125/x^2)*x*8.50
and the area of all four sides will be
.. 4*125/x*8.50 = 4250/x
So, the total cost is the cost of top and bottom together with the cost of the sides:
.. cost = 17x^2 +4250/x
This is minimized when its derivative with respect to x is zero.
.. d(cost)/dx = 0 = 2*17x -4250/x^2
.. 4250/34 = x^3
.. x = ∛125 = 5
The most economical shed is a 5 ft cube.
Answer:
117
Step-by-step explanation:
Answer:
20.9 feet
Step-by-step explanation:
<em>The figure attached below can be formed through the information given.</em>
<u>Step 1: Find angle y</u>
<em>All angles of a triangle are equal to 180°</em>
<em>67 + 39 + y = 180</em>
<em>y = 74°</em>
<u>Step 2: Use sin formula to find H</u>
<em>a/sin a = b/sin b</em>
<em>32/sin 74 = b/sin 39</em>
b = 20.9 feet.
The height of the tower is 20.9 feet.
!!
Answer:
x = 348
Step-by-step explanation:
The measure of angle ABD is (0.15x+65) and the measure of angle CBD is(0.1x+28) . Find the value of x.
0.15x + 65 + 0.1x + 28 = 180
0.25x + 93 = 180
0.25x = 180 - 93
0.25x = 87
x = 87/0.25
x = 348
Answer:
-2(-12-7 g)
Step-by-step explanation:
hope this helps :)