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Andrej [43]
2 years ago
12

Three less than the product of 6 and a number is 45. What is the number?

Mathematics
1 answer:
strojnjashka [21]2 years ago
5 0

Answer: 8

Step-by-step explanation:

6x-3=45

6x=48

x=8

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a 15-foot telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42 degre
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Answer:

The length of the wire is 22.42 feet

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Step-by-step explanation:

* Lets explain the situation in the problem

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- The wire is the hypotenuse of the triangle

- The height of the telephone pole and the distance from the base of

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- The angle 42° is opposite to the height of the telephone pole

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* Lets use the trigonometry functions to find the length of the wire

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∵ sin Ф = opposite/hypotenuse

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∵ The distance from the base of the pole to the spot where the wire

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∵ tan Ф = opposite/adjacent

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∴ tan 42° (adjacent) = 15 ⇒ divide both sides by sin 42

∴ adjacent = 15/tan 42° = 16.66 feet

∵ The adjacent side is the distance from the base of the pole to the

  spot where the wire touches the ground

∴ The distance from the base of the pole to the spot where the wire

   touches the ground is 16.66 feet

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