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3 years ago

Show the Euler-Descartes formula holds for the Great Pyramid of Cheops

Mathematics

1 answer:

quester [9]3 years ago

8 0

Answer:

For the great pyramid of Cheops, V + F = E + 2 gives 5 + 5 = 8 + 2 which proves Euler-Descartes formula

Step-by-step explanation:

The great pyramid of Cheops is a square based pyramid therefore we have;

V + F = E + 2

Where:

V = Vertices

F = Faces

E = Edges

Hence, we have for a square pyramid;

V = 5 vertices (One at the peak, and four at the base edges)

F = 5 faces (The four lateral or side faces and the base)

E = 8 edges ( The four lateral edges and the four base edges)

Hence;

5 + 5 = 8 + 2 which proves Euler-Descartes formula.

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The length of overline CD is 12 units. C^ prime D^ prime is the image of overline CD under a dilation with a scale factor of n.

Rufina [12.5K]

Answer:

A, D , and E

Step-by-step explanation:

We have that:

$\overline{CD} = 12 \: units$

$\overline{C'D'}$

is the image of CD after a dilation of scale factor n.

We use the relation between the image length and object length:

$\overline{C'D'} = n \times \overline{CD}$

Option A

If n=3/2, then

$\overline{C'D'} = \frac{3}{2} \times 12 = 3 \times 6 = 18 \: units$

This is true.

Option B

If n=4, then

$\overline{C'D'} = 4 \times 12 = 36 \: units$

This is false.

Option C

If n=8, then

$\overline{C'D'} = 8 \times 12 = 96 \: units$

This too is false.

Option D

If n=2, then

$\overline{C'D'} = 2 \times 12 = 24 \: units$

This is true

Option E

If n=3/4, then

$\overline{C'D'} = \frac{3}{4} \times 12$

$\overline{C'D'} = 3 \times 3 = 9 \: units$

This is also true.

4 0

3 years ago

a probability experiment consists of fair eight sided die find the probability of rolling number greater than 4

Lunna [17]

Answer:

Probability[Number greater than 4] = 1/2

Step-by-step explanation:

Given:

Total side of die = 8

Find:

Probability[Number greater than 4]

Computation:

Number greater than 4;

[5,6,7,8]

Total number greater than 4 = 4

Probability[Number greater than 4] = Total number greater than 4 / Total side of die

Probability[Number greater than 4] = 4 / 8

Probability[Number greater than 4] = 1/2

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3 years ago

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maw [93]

Answer:

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The answer is 14

Step-by-step explanation:

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The mall is 4.72 kilometers from Julie’s house and 1.83 kilometers from Taylor’s house. How much farther does Julie live from th

blondinia [14]

Julies lives 2.89 kilometers more from the mall than Taylor.

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3 years ago

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I need help solving this problem

Ludmilka [50]

G(f(2)) means work out whatever f(2) is then plug this into g(x).

So f(2) is 3 because we just find the x-value 2 in the left hand column and read across. This is 3.

So then we find g(3) by finding the x-value 3 in the left hand column and read across. This is 10.

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