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:
3^5=9^2x = 3
3^(2x+1) =3^3 = 1
Step-by-step explanation:
Hey there! I'm happy to help!
The perimeter is all of the sides of a shape added up.
Since all of the sides on a square are the same and we know one side, we just multiply it by four.
2.59(4)=10.36
Therefore, the patio is about 10.56 meters.
I hope that this helps! :D
I would say gaudy , it’s pretty descriptive
Answer:
0.3667
0.2727
Step-by-step explanation:
a)
P (Blue) = P (large and Blue) + P (mid and Blue) + P (small and Blue)
P (Blue) = (0.5 * 0.2) + (0.4*7 / 12) + (0.1* 1 / 3)
P (Blue) = 0.3667
b)
Conditional Probability:
P (Large / Blue ) = P (large and Blue) / P ( Blue)
P (Large / Blue ) = 0.5*0.2 / 0.36667
P (Large / Blue ) = 0.2727
