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navik [9.2K]
3 years ago
9

How big of box is needed to pack 64 boxes that are 1ft x 1ft x 1ft

Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0

Answer:

  something with a volume of 64 ft³, such as a box 4 ft × 4 ft × 4 ft

Step-by-step explanation:

The volume of the smaller box is (1 ft)³ = 1 ft³. So 64 of them require a box with a volume of 64 ft³.

The most compact of such boxes is one that is cube-shaped itself. Such a box would have dimensions of ...

  ∛(64 ft³) = 4 ft

A box that is 4 ft × 4 ft × 4 ft would hold the 64 smaller boxes.

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Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo
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Answer:

\displaystyle y=-\frac{1}{2}x+4

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

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And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

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The coefficient of the x is the slope

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The slope of the perpendicular line is the negative reciprocal of m, thus

\displaystyle m'=-\frac{1}{2}

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Operating

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Simplifying

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Answer:

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