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:
2/3
Step-by-step explanation:
4/9×3/2=2/3 The answers provided are all wrong
The answer is: the Y axis. :I
You reflect it, then you shift the shape 1 unit to the right. For example, Point U is at coordinates, -2, 2. Reflected across the Y axis, it's 2, 2. Then to get to the point that U' is at, you shift your reflected U to the right one unit. That gets you to coordinates 3, 2. Same thing goes for the other Points. Cx Hope this helped!!