Answer:
the optimal dimensions of the rectangle in order to minimize cost are
19.1 ft x 47.74 ft
Step-by-step explanation:
Assuming that the area is rectangular shaped, then
Cost = cost of the pine board fencing * length of pine board fencing + cost of galvanized steel fencing * length of galvanized steel fencing
C = a*x + b*y
that is constrained by the area
Area= A= x*y → y= A/x
replacing in C
C = a*x + b* A/x
the minimum cost is found when the derivative of the cost with respect to the length is 0 , then
dC/dx = a - b*A/x² = 0 → x = √[b/a*A]
replacing values
x = √[b/a*A] = √[($2/ft/$5/ft)*912 ft²] = 19.1 ft
then for y
y= A/x = 912 ft²/19.1 ft = 47.74 ft
then the optimal dimensions of the rectangle in order to minimize cost are
19.1 ft x 47.74 ft
Answer:
3
Step-by-step explanation:
If you notice the y is the change in distance, so #3 has the best explanation.
Answer:
the answers is enlargement
Step-by-step explanation:
coming from the topic dilation
The four consecutive odd integers are x, x+2, x+4, x+6
x+x+2+x+4+x+6=216
4x+12=216
4x=204
x=51
they are 51, 53, 55, 57
Answer: One cubic foot equals 1728 cubic inches, while a golf balls volume is 2.482 cubic inches.
Step-by-step explanation: