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.
Answer:
36
Step-by-step explanation:
4(a+b)-c
4(4)+4(8)=16+32-12
48-12=36
The life span would be 24 months.
The formula for z-scores is:
Using the information we're given we have:
Multiply both sides by 8 to cancel it:
-3(8) = ((X-48)/8)*8
-24 = X-48
Add 48 to both sides:
-24+48 = X-48+48
24=X
C) None of the above
The transformation is not a reflection because the image is not an exact reflection. It is a little bit tilted.
The transformation is not a rotation because the image is not in the same place as the original.
The transformation is not a translation because the image was altered in some way, by being tilted.
