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Sphinxa [80]
4 years ago
15

The base of a pyramid has n sides write an expression for the number of faces of the pyramid

Mathematics
1 answer:
kumpel [21]4 years ago
6 0
A pyramid always have a number of slant triangles equal to the number of the sides of the base.

This means that a pyramid always have the number of face which is one more than the number of sides of the base.

Therefore, given that a pyramid has n number of sides of the base, the expression for the number of faces of the pyramid is given by

number of faces = n + 1.
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A is the answer for the question
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In the diagram below, the area of $\triangle BCD$ is 60. What is the length of side $\overline{BC}$?
Phantasy [73]

Area of triangle = 1/2 bh

60 = 1/2 (15) h

8 = h

Quadrilateral area = h x (b1 + b2)/2 = 8 x (15+9)/2 = 96 sq units

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3 years ago
Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,
nlexa [21]

$ PS = \frac{4}{3} x

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$PT = x, \ PQ = 3x,  \ SR=\frac{8}{3}x

TQ=PQ-PT

TQ=3x -x=2x

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$\frac{PS}{SR} =\frac{PT}{TQ}

$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}

Do cross multiplication, we get

$ PS \times 2x=x \times \frac{8}{3} x

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4 0
3 years ago
If the height is 12 inches and the diameter is 16 inches, what is the volume?
tigry1 [53]

Answer:

V = πr²h

V = π(8)^2×12 r = ½diameter= 16/2=8

V = 64π×12

V= 64 × 3.14 ×12

V = 2,411.52 cubic inches.

Hope it helps!

4 0
2 years ago
PLEASE HELP ME ITS DUE IN LIKE 7 mins
Nookie1986 [14]

Answer:

919,797.64

Step-by-step explanation:

1 82100

2 84152.5

3 86256.3125

4 88412.72031

5 90623.03832

6 92888.61428

7 95210.82964

8 97591.10038

9 100030.8779

10 102531.6498

total = 919,797.64

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3 years ago
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