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Svetach [21]
3 years ago
9

What is the slope of a roof on a house that has a vertical height of 2.4 feet from the ceiling of the top floor to the top of th

e pitch and a length of 8.2 feet from the center of the edge of the house?
Mathematics
1 answer:
Tems11 [23]3 years ago
7 0

Answer:

Step-by-step explanation:

It is unclear from the phrasing what dimension 8.2 ft represents.

If 8.2 ft is the direct distance from the edge of the roof to the top of the pitch, then the <em>horizontal</em> distance from the edge to the top is √(8.2²-2.4²) ≅ 7.84 ft, and the slope is 2.4/7.84 ≅ 0.31

If 8.2 ft is the <em>horizontal </em>distance from the edge of the root to the top of the pitch, then the slope is 2.4/8.2 ≅ 0.29

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Answer:

p = (2k + 1)i + j

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(2k + 1)(25) + (k + 4) = 11

50k + 25 + k + 4 = 11

51k = -18

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b) p.q = |p||q|cos∅

p= (2k + 1)i + j = [2(-6/17) + 1)i + j ]= 5/17i + j

|p| = √ (5/17)² + 1²

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q = 25i + (k + 4)j = 25i + ( -6/17 + 4)j

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Now applying them to the formula above

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This should be it.

Hope it helps

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