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soldier1979 [14.2K]
3 years ago
10

Can someone help me with this question

Mathematics
1 answer:
exis [7]3 years ago
5 0

Answer:

Angle A + Angle B + Angle C = 180° (LP)

3x+5 + 5x-18 + 7x-2 = 180

3x +5x + 7x = 180 +15

15x = 195

x=195/15

x=13

Angle A: 3x + 5 = 3 x 13 + 5 = 44

Angle B: 5x - 18 = 5 x 13 - 18 = 47

Angle C: 7x - 2 = 7 x 13 - 2 = 89

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The base of the pyramid is a square what is the surface area if the pyramids height is 4 feet in the area of the base is 36 ft.?
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Answer:

96 ft²

Step-by-step explanation:

The general formula for the surface area of a pyramid is:  

SA = \frac{1}{2}pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base

Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.

Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid.  Using 3 feet for 'a' and 4 feet for 'b':

3² + 4² = c² or 9 + 16 = 25

25 = c² or c = 5

SA =  \frac{1}{2}(24)(5) + 36

SA = 60 + 36 = 96 ft²

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