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
_____
<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:
13/90
Step-by-step explanation:
The decimal that you wrote is mixed non terminal decimal. Which means all the number don't repeat themselves.
The denominator of a non terminating decimal is always 9 even though it depends on the type of the decimal, whether it is simple or mixed
The denominator of the given decimal is 90. The denominator is 2 digit number since the given decimal is also 2 digit decimal even though it is under repeating bars.
And the numerator is 10, 13-3.
We subtract 3 since it is the one repeating itself.
Hope it helps ;) ❤❤❤
Answer:
The term that best describes a figure formed by three segments connecting three non-collinear points is:
Triangle.
Step-by-step explanation:
Step-by-step explanation:
We know that with the help of just one point we can't form any figure.
With the help of two points a line segment can be formed.
And with the help of three points if the three points are collinear a triangle can be formed.
Hence, the term that best describes a figure formed by three segments connecting three non-collinear points is:
Triangle.
Answer:
50
Step-by-step explanation:
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