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:
Step-by-step explanation:
Complementary angles add up to 90
6x + 29 + x + 5 = 90
6x + x + 29 + 5 = 90
7x + 34 = 90
7x = 90 - 34 {Subtract 34 from both sides}
7x = 56
x = 56/6 {Divide both sides by 6}
x = 8
∠A = 6x + 29
= 6*8 + 29
= 48 + 29
∠A = 77°
Answer:
1.50x+0.50y≤20.50
Step-by-step explanation:
its the plato answer.
The process used in the picture is cross multiplying. Make an x through the numbers and multiply them by each other. That's why 21 was multiplied by 14 and 49 was multiplied by n. The value of n is unknown, so it simplifies to 49n, and 14*21=21.4. So basically to recap, make an x, multiply the terms that are diagonal from each other, write both of the answers next to each other, and put an = sign in between them. If you don't understand I can try to explain differently ☺
