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liberstina [14]
3 years ago
11

The diagram shows a 5 cm x 5 cm x 5 cm cube.

Mathematics
2 answers:
mylen [45]3 years ago
5 0

Answer:

~8.66cm

Step-by-step explanation:

The length of a diagonal of a rectangular of sides a and b is

\sqrt{a^2+b^2}

in a cube, we can start by computing the diagonal of a rectangular side/wall containing A and then the diagonal of the rectangle formed by that diagonal and the edge leading to A. If the cube has sides a, b and c, we infer that the length is:

\sqrt{\sqrt{a^2+b^2}^2 + c^2} = \sqrt{a^2+b^2+c^2}

Using this reasoning, we can prove that in a n-dimensional space, the length of the longest diagonal of a hypercube of edge lengths a_1, a_2, a_3, \ldots, a_n is

\sqrt{a_1^2 + a_2^2 + a_3^2 + \ldots + a_n^2}

So the solution here is

\sqrt{(5cm)^2 + (5cm)^2 + (5cm)^2} = \sqrt{75cm^2} = 5\sqrt{3cm^2} \approx 5\cdot 1.732cm = 8.66cm

Masja [62]3 years ago
3 0

Answer:

8.7

Step-by-step explanation:

hope this help!

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seropon [69]

Answer:

3125 cm

Step-by-step explanation:

The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of 1:5000.

We are given the scale of

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This means

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Hence:

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Cross Multiply

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nika2105 [10]

Answer: pr (blue) = 1/3 or 0.33

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Step-by-step explanation:

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Pr ( first marble blue) = no of blue marbles/ total number of marbles

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Pr (second marble is green) = number of green marble/ total number of marbles without replacing the first marble

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I hope this helps.

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Answer:

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Step-by-step explanation:

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3 years ago
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