Answer:
the dimensions of the most economical shed are height = 10 ft and side 5 ft
Step-by-step explanation:
Given data
volume = 250 cubic feet
base costs = $4 per square foot
material for the roof costs = $6 per square foot
material for the sides costs = $2.50 per square foot
to find out
the dimensions of the most economical shed
solution
let us consider length of side x and height is h
so we can say x²h = 250
and h = 250 / x²
now cost of material = cost of base + cost top + cost 4 side
cost = x²(4) + x²(6) + 4xh (2.5)
cost = 10 x² + 10xh
put here h = 250 / x²
cost = 10 x² + 10x (250/ x² )
cost = 10 x² + (2500/ x )
differentiate and we get
c' = 20 x - 2500 / x²
put c' = 0 solve x
20 x - 2500 / x² = 0
x = 5
so we say one side is 5 ft base
and height is h = 250 / x²
h = 250 / 5²
height = 10 ft
Answer:
The distance from the ramp's contact point with the ground and the base of the platform is 10.90 feet.
Step-by-step explanation:
As
- A ramp 12 feet long is leaning against a raised platform which is 5 feet above the ground.
And
- We have to determine the distance from the ramp's contact point with the ground and the base of the platform.
Since we are looking for the side of 'b' right triangle.
Please check the attached figure.
So using the Pythagorean formula:
Fora right angled triangle with sides a, and b the hypotenuse c is defined as
feet
Therefore, the distance from the ramp's contact point with the ground and the base of the platform is 10.90 feet.
First thing first, you have to use the proportion formula(is over of is a percent over 100).
Is=40
Of= n,
%= 30.
After setting that up and everything, your answer is 140.
Answer:
( x,y) = ( -2,2)
Step-by-step explanation:
I took this test
The answer you are looking for is M = -18.
To find this answer, you first distribute 9 into the parenthesis (m + 4). Once you've distributed, you should be left with 9m + 36 = 7m. Next, you subtract 9m from both sides. This will give you 36 = -2m. Finally, divide both sides by 2. Thus giving you a final answer of M = -18.
I hope this helps!