Answer:
- 12 ft parallel to the river
- 6 ft perpendicular to the river
Step-by-step explanation:
The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.
72 = W(2W)
36 = W²
6 = W . . . . . . the width perpendicular to the river
12 = 2W . . . . the length parallel to the river
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<em>Development of this relation</em>
Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...
A = xy = x(T -x)/2
Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...
x = (0 +T)/2 = T/2
The corresponding area width (y) is ...
y = (T -T/2)/2 = T/4
Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.
i believe it is 1/3. but check other sources as well.
That would be a 45 degree angle
Answer:
No.
First, multiply 6 x 4 ($4 is the amount of money he makes from each sale).
6 x 4 = $24
If Lin's goal is $32, and he sells 6 boxes of popcorn for only $24, then he will not reach his goal in that specified range.
The Northeast is a geographical region of the United States of America bounded to the North by Canada. The Northeast is one of 4 regions defined by the Census Bureau for the collection and analysis of statisitics. Hope that helped!!
