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Colt1911 [192]
3 years ago
9

Bella leans a 20-foot ladder against a wall so that it forms an angle of 76° with the ground. What’s the horizontal distance bet

ween the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.
Mathematics
1 answer:
seropon [69]3 years ago
8 0

Answer:

4.8 feet

Step-by-step explanation:

Use the cosine ratio, since we are given the length of the hypotenuse (the ladder) and are asked to find the horizontal distance between it and the ground.

Let x represent the horizontal distance (the adjacent leg)

cosine θ = adjacent / hypotenuse

cosine 76° = x / 20

(20)(cosine 76°) = x

4.8 = x

So, the horizontal distance is approximately 4.8 feet

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I think B is 1/5. I think C is 1/2.

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What in slope-intercept form, can go through the line ( a, 2a) and (-5a, 6a)
Wittaler [7]

Answer:

  • y = -2/3x + 8/3a

Step-by-step explanation:

<u>Given points</u>

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<u>Slope-intercept form</u>

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<u>Slope of the line is</u>

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3 years ago
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What is the vertex form, f(x) = a(x − h)2 + k, for a parabola that passes through the point (1, −7) and has (2, 3) as its vertex
kondaur [170]

Answer:

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Step-by-step explanation:

h and k are the vertex coordinates

Substitute them in the vertex form equation:

f(x) = a(x − 2)^2 + 3

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y = -10(x − 2)^2 + 3

Expand using binomial theorem:

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Simplify:

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