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Vladimir79 [104]
3 years ago
7

A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of

4 inches less than the height of the box. Write a polynomial that represents the volume of a box with height x inches.
Mathematics
1 answer:
maw [93]3 years ago
5 0

Answer:

h³- 8h² + 16h

Step-by-step explanation:

The problem tells us that the length and width of these boxes are both 4 inches less than the height of the box.

So if we name <u>h the height of the box</u>, the <u>width of the box would be h - 4 </u>and the <u>height of the box would be h - 4.</u>

Now, the volume  of a rectangular prism is given by V = height x width x length

So, considering the values we have in this problem we get:

V= height x width x volume

V = h (h-4)(h-4)

V= h(h-4)²

V= h (h²-8h + 16)

V = h³- 8h² + 16h

Therefore, the polynomial representing the volume of this box in terms of the height is h³- 8h² + 16h

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the perimeter of a rectangle can be found by using the formula P=21+2w. What is the width of the rectangle if the perimeter is 1
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Since this can't happen, let's suppose that P=150, then:

\begin{gathered} P=2l+2w \\ \Rightarrow150=2(50)+2w \\ \Rightarrow150=100+2w \end{gathered}

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If you see a triangle that has a small box in one angle, what type of triangle is it?
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In circle O, m∠R = 30.8°. Find m∠NOQ.
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Given:

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Central angle theorem: According to this theorem, the central angle is always twice of subtended angle on the same arc.

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