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:
Well, I'm not really sure what to do, but if you just need the numbers to multiply to get the latter numbers in the question they are: 10/11 (for the first question) and 81/80 for the second.
Step-by-step explanation:
For Question #1: You just multiply 5/11 by two to get the number that 1/2 has to multiply to get 5/11. And 5/11 * 2 is 10/11. So I guess the answer is 10/11...
For Question #2: The common denominator for them both is 180, and 4/9 times 81/ 80 is what 80/180 (4/9) has to multiply by to get 81/180.
I used the equation 4/9x=9/20
Multiplied the 9 and then divided by 4 to get the answer, which was 81/80.
***I also noticed, that 1/2 is 1/22 away from 5/11, and 4/9 is 1/180 away from 9/20.
Hope this helps!
Answer:7.54
is already rounded to the nearest hundredth. but rounded to nearest whole number will be 8
Step-by-step explanation:
Answer:
x = 47°
Step-by-step explanation:
Since the two angles on a line add up to 180 degrees:
x = 180-133
x = 47°
Answer:
y is located at (1,1)
the measure is 56
c - congruent
Step-by-step explanation:
If its rotated at its vortex then its rotating around the coordinates of Y
If the angle is rotated then the value of the angle does not change
