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valentina_108
19 hours ago
6

The line segments of a cube include edges, the diagonals of the faces, and the diagonals through the interior of the cube. Which

is the longest? Which is the shortest? Explain.
Mathematics
2 answers:
lawyer [9.2K]18 hours ago
0 0
The diagonal that crosses the interior of the cube is the longest segment. The hypotenuse corresponds to the longest side in a right triangle. In this case, the cube's diagonal serves as the hypotenuse of a right triangle, with the legs being the diagonal of one of its faces and one of its edges. The edges are the shortest sections and function as the legs of a right triangle where the face's diagonal acts as the hypotenuse.
Inessa [9K]18 hours ago
0 0
The diagonal that runs through the cube's interior is the longest line. The hypotenuse represents the longest side of a right triangle. In this configuration, the cube's diagonal is the hypotenuse for a right triangle formed by one diagonal from a face and an edge. The edges represent the shortest segments, acting as the legs in this scenario with the face's diagonal serving as the hypotenuse. To explain step-by-step: it's a model answer.
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Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be use
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Jenna mixed two shades of purple paint. For Purple People Eater, she used 3 pints of red paint for every 5 pints of blue paint.
Svet_ta [9518]

Answer:

\frac{12}{35}

Step-by-step explanation:

Details:

→ For Purple People Eater, 3 pints of red paint were used for every 5 pints of blue paint.

Thus, The red to blue paint ratio is 3:5

→ For Purple Majesty, the ratio of blue paint to red paint is 7 to 4.

This means The ratio of red paint to blue paint is 4:7

To determine:

1) Compare the ratios of red to blue paint.

\frac{3}{5}\times \frac{4}{7}=\frac{12}{35}

2) The fraction form of the Purple People Eater ratio is:

=\frac{3}{5}

3) The fraction form for Purple Majesty is:

=\frac{7}{4}

4) To compare these fractions, create a common denominator.

For a common denominator,

Multiply the numerator and denominator by 4 in \frac{3}{5}

\Rightarrow\frac{3\times 4}{5\times4}=\frac{12}{20}

Multiply the numerator and denominator by 5 in \frac{7}{4}

\Rightarrow\frac{7\times 5}{5\times4}=\frac{35}{20}

The common denominator is 20.


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