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charle [14.2K]
3 years ago
8

Mr. Miller has a 20-foot ladder, which he

Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0

Answer:

8 ft

Step-by-step explanation:

the ladder will make a right angle triangle with the house. The hypotenuse of the triangle is the ladder, 20 ft, and the height of the triagnle is 18 ft.

Solve for the base of the right angle triangle using pythagorean's theorem:

c=20, a=18, b=?

b^{2}=c^{2} - a^{2}\\b^{2}=20^{2} - 18^{2}

b=\sqrt{72}

b= 8.49 ft

round to the nearest foot,

b = 8 ft

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Answer:

10 gallons

Step-by-step explanation:

Area of one rectanglular side

10 * 44 = 440

Area of trangular one triangular "roof"

(1/2)10 * 9 = 45

Total area = 4(440 + 45) = 1,940

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Paint needed

1940 / 202 = 9.6

10 gallons

5 0
2 years ago
In the equation y=mx,which statement is not true about m?
bearhunter [10]
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Shalnov [3]

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3 years ago
1. A pond has 85 frogs, 20% of the frogs are green the rest are orange, brown, and yellow. How many frogs are green?​
alexandr402 [8]

Answer:

17 green frogs

Step-by-step explanation:

You need to multiply the decimal form of 20% by 85.

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Now, multiply by .2 by 85

(.2)(85) = 17

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4 0
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Find sin theta if cot theta = -2 and cos theta &lt; 0
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cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)

So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.

Recall that

cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)

so that

sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)

sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)

Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :

sin(<em>θ</em>) = 1 / √((-2)² + 1)

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6 0
3 years ago
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