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Veseljchak [2.6K]
3 years ago
6

If a force of 60 pounds acts at an angle of 40° to the horizontal, what is its vertical component? 20 lb 35 lb 39 lb 46 lb

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer:

The answer to your question is 39 lb

Step-by-step explanation:

Data

Force = 60 lb

angle = 40°

vertical component = ?

Process

To answer this question, we must imagine a right triangle where the force gave is the hypotenuse, and the vertical component will be the opposite side to the 40° angle.

1.- Look for a trigonometric function that relates the opposite side and the hypotenuse

          sin Ф = Opposite side / hypotenuse

- Solve for Opposite side

          Opposite side = hypotenuse x sin Ф

- Substitution

          Opposite side = 60 x sin 40

- Simplification

          Opposite side = 60 x 0.64

- Result

          Opposite side = 38.56 ≈ 39 lb

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-104=-8(k+8) <br><br> K = ?<br> Solution please if can?
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Let's solve this question by step by step.

Layout equation.

−104=−8(k+8)

Step 1: Simplify both sides of the equation.

−104=−8(k+8)

−104=(−8)(k)+(−8)(8)(Distribute)

−104=−8k+−64

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Step 2: Flip the equation.

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Step 4: Divide both sides by -8.

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Step-by-step explanation:

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