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3 years ago

A 20ft ladder leans up against the wall. if the ladder is 3ft from the wall, what angle does the ladder make with the ground

Mathematics

1 answer:

RoseWind [281]3 years ago

8 0

<u>Answer:</u>

<u>Explanation:</u>

let the angle the ladder makes with the ground be θ

θ = cos⁻¹(3/20)

θ = cos⁻¹(0.15)

θ ≈ 81.37°

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As Darius is skiing down a ski slope, Jorge is on the chairlift on the same slope. The chair lift has stopped. Darius stops dire

Jobisdone [24]

Answer:

0 chances.

2.3 seconds.

Step-by-step explanation:

25=-16t^2+35t+5

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3 years ago

A41.0m guy wire is attached to the top of a 32.8 m antenna and to a point on the ground. How far is the point on the ground from

Setler79 [48]

Answer:

Step-by-step explanation:

A right angle triangle is formed.

The length of the guy wire represents the hypotenuse of the right angle triangle.

The height of the antenna represents the opposite side of the right angle triangle.

The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.

To determine h, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

41² = 32.8² + h²

1681 = 1075.84 + h²

h² = 1681 - 1075.84 = 605.16

h = √605.16

h = 24.6 m

To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos θ = 24.6/41 = 0.6

θ = Cos^-1(0.6)

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7 0

4 years ago

If A and B are independent events, P(A and B) =

Gwar [14]

Answer:

C. P(A) * P(B)

Step-by-step explanation:

If A and B are independent events, then

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Otherwise, A and B are dependent events.

The correct answer is choice C

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3 years ago

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Carl buys songs to download them to his computer. He has 20 rock songs, 15 country songs, 10 world songs and 5 classical songs.

MissTica

<h2>Answer with explanation:</h2>

He has 20 rock songs, 15 country songs, 10 world songs and 5 classical songs.

There are 50 in total.

The fraction of songs which are rock songs are:

$\dfrac{20}{50}$

which in simplest fraction is given by:

$\dfrac{2}{5}$

and on multiplying the fraction with 100 we get the percent of songs.

Hence,

$\dfrac{2}{5}\times 100=40\%$

The fraction of songs which are country songs are:

$\dfrac{15}{50}$

which in simplest fraction is given by:

$\dfrac{3}{10}$

Hence,

$\dfrac{3}{10}\times 100=30\%$

The fraction of songs which are world songs are:

$\dfrac{10}{50}$

which in simplest fraction is given by:

$\dfrac{1}{5}$

Hence,

$\dfrac{1}{5}\times 100=20\%$

The fraction of songs which are classical songs are:

$\dfrac{5}{50}$

which in simplest fraction is given by:

$\dfrac{1}{10}$

Hence,

$\dfrac{1}{10}\times 100=10\%$

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3 years ago

Why is a square also a rhombus?

Ne4ueva [31]

Answer:

A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles. A square however is a rhombus since all four of its sides are of the same length.

Step-by-step explanation:

Hope thats helpful! :)

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3 years ago

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