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Alexus [3.1K]
3 years ago
15

Which measurements could NOTrepresent the side lengths of a right triangle?

Mathematics
2 answers:
Fittoniya [83]3 years ago
5 0

Answer:

d

Step-by-step explanation:

Volgvan3 years ago
3 0

Answer:

D

Step-by-step explanation:

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In narrative writing, using first-person point of view tells the story from the perspective of someone who _____.
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What is the sum of the roots of the quadratic equation x²+6x-14=0?​
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<h3>Sum of Roots =<u> (-8)</u><u> </u><u> </u></h3><h3>Product of Roots = <u> </u><u> </u><u>(-84)</u><u> </u><u> </u></h3>

Step-by-step explanation:

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[10 points] A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimens
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Answer:

  6 inches square by 3 inches high

Step-by-step explanation:

For a given surface area, the volume of an open-top box is maximized when it has the shape of half a cube. If the area were than of the whole cube, it would be 216 in² = 6×36 in².

That is, the bottom is 6 inches square, and the sides are 3 inches high.

_____

Let x and h represent the base edge length and box height, respectively. Then we have ...

  x² +4xh = 108 . . . . box surface area

Solving for height, we get ...

  h = (108 -x²)/(4x) = 27/x -x/4

The volume is the product of base area and height, so is ...

  V = x²h = x²(27/x -x/4) = 27x -x³/4

We want to maximize the volume, so we want to set its derivative to zero.

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The box is 6 inches square and 3 inches high.

_____

<em>Comment on maximum volume, minimum area</em>

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If the box has a <em>closed top</em>, then each pair of opposite sides will have the same cost for a maximum-volume box. If costs are uniform, the box is a cube.

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