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.
The answer is C
If the two chords intersect each other, that means that they must both be diameters. That means that JL + NL has to be equal to KL + ML. Because they are both diameters, they both have to be equal to each other. The only choice that satisfies this condition is C where both of the diameters are 16 in long.
Hope this helps :)
Answer:
100 rupee notes= 6, 50 rupee notes=3
Step-by-step explanation:
3 x 50 = 150
6 x 100 = 600
600 + 150 = 750
and 3 x 2 = 6, so the amount of 100 rupee notes are twice the amount of 50 rupee notes.
Hope this helps :)
Answer:
d
Step-by-step explanation:
