Let the length of the north and south sides be x, then the length of the east and west side is 32/x.
The total fencing needed is the perimeter of the rectangle = 2x + 2(32/x) = 2x + 64/x
Cost of fencing the north and south sides is 2(2x) = 4x
Cost of fencing the east and west sides is 4(64/x) = 256/x
Total cost (C(x)) of fencing the vegetable patch is 4x + 256/x
For minimum cost dC/dx = 0
4 - 256/x^2 = 0
4x^2 - 256 = 0
x^2 = 64
x = 8
Therefore, the <span>dimensions of the vegetable patch with the least expensive fence is
</span><span>north and south sides = 8 ft
</span><span>east and west sides = 32/8 = 4 ft</span>
<em>Plane figures</em> are shapes with <u>straight </u>sides. Considering the <em>movement</em> to be <em>lower</em> than the initial path, there are eleven (11) <u>paths</u> from A to B.
A <em>plane figure</em> is given shape with <u>straight</u> sides. And these <em>sides </em><u>connect</u> each edge of the figure one to another. Examples are triangles, quadrilaterals, polygons, etc.
A path is a <em>connection</em> or <u>link</u> between two <em>reference </em>points. This could be a <u>footpath</u> or a <u>motorable</u> path or <u>other</u> forms of the path.
Considering the given <em>plane figure</em> in the question, it can be observed that the <u>total</u> <u>number</u> of paths from A to B with respect to the given condition is eleven.
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Answer:
625
Step-by-step explanation:
5 times 5 is 25. 25 times 5 is 125. 125 times 5 is 625. Notice how I multiplied 5 repeatedly 4 times.
- Using
substitution
means you are going to solve one equation for one variable and substitute with
its value in the other equation in order to get also an equation with one
variable.
Answer:
D.)
×
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Since we moved to right 5 places, the exponent is -5.