Answer:
Step-by-step explanation:
We are given the following in the question:
A storage shed is to be built in the shape of a (closed) box with a square base.
Volume = 150 cubic feet
Let s be the edge of square base and h be the height.
Volume of cuboid =
where l is the length, b is the base and h is the height.
Volume of box =
Area of base =
Cost of concrete for the base = $4
Cost of base($) = 
Area of roof =
Cost of material for the roof = $2
Cost of roof ($) = 
Area of 4 walls =
Cost of material for the side = $2.50
Cost of material of side($) =
Total cost
= Cost of base + Cost of 4 sides + Cost of roof
is the required cost function.
Answer:
θ = 2π/3 or 5π/3
Step-by-step explanation:
2 cosθ + 1= 0
when + 1 goes to R H S Side than it becomes negative by transposition method
2 cos = -1
now by dividing by 2 both sides we get
cosθ = -
since cosθ is negative
Cosθ = - cos 60°
it means either cosθ lies in 2nd or third quadrant
θ = π - π/3
or
θ = 2π- π/3
so θ = 2π/3 or 5π/3
Answer:
x = 4
Step-by-step explanation:
∆ABC ~ ∆DEF
--> AB/DE = BC/EF
--> x / 3 = 8 / 6
--> x / 3 = 4 / 3
--> x = 4
V = a²h/3
Plugging values in we get 8.67X10^7, or 86,700,000
Answer:
D) 20 in
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
Substituting what we know
980 pi = pi (7)^2 h
Divide each side by pi
980 pi /pi= pi 49 h/pi
980 = 49h
Divide each side by 49
980/49 = 49h/49
20 =h
