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Natasha_Volkova [10]
3 years ago
6

The base of a pyramid has n sides. Write and expression for the number of faces of the pyramid

Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Remark

The number of faces reaching out in the 3rd dimension of the pyramid = the number of edges on the base.

Givens

Number of edges (or sides on the base)= e

Number of faces = f

Formula

F = e + 1 Don't forget that the base is also a face.

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<u>Explanation:</u>

(a)

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Base, a = ?

Using pythagoras theorm:

(H)² = (h)² + (a)²

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119 = a²

a = 10.9 cm

(b)

Hypotenuse, H = 24 cm

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Height, b = ?

Using pythagoras theorm:

(H)² = (b)² + (a)²

(24)² = (b)² + (12)²

432 = b²

b = 20.78 cm

(c)

height, h = 4 cm

Hypotenuse, H = 5.7 cm

Base, c = ?

Using pythagoras theorm:

(H)² = (h)² + (c)²

(5.7)² = (4)² + (c)²

16.49 = c²

c = 4.06 cm

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Vladimir79 [104]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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user100 [1]

First, simplify out the brackets:

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Then, combine like terms by moving the -20 to the other side

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