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scoundrel [369]
3 years ago
6

there are 453.592 grams in one pound. A semi-slick, Kevlar tire weighs about 520 grams. what is the tires weight in pounds?

Mathematics
1 answer:
vredina [299]3 years ago
3 0
All you have to do is divide 520 by 453.592. If you do this, your answer is 1.1464 pounds. If you have to round to hundredths, your answer is 1.15 pounds. If you have to round to tenths, your answer is 1.1 pounds.
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Hi does anyone know how to solve this question if so please show the working out.
tester [92]

Explanation:

The Law of Sines is your friend, as is the Pythagorean theorem.

Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.

Then we have from the Pythagorean theorem ...

  b² = 4² +(2√2)² = 24

  b = √24

From the Law of Sines, we know that ...

  b/sin(60°) = a/sin(θ)

  y/sin(45°) = a/sin(φ)

Solving the first of these equations for "a" and the second for "y", we get ...

  a = b·sin(θ)/sin(60°)

and ...

  y = a·sin(45°)/sin(φ)

Substituting for "a" into the second equation, we get ...

  y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)

So, we need to find the value of the coefficient ...

  b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)

  = √(24·2/3) = √16 = 4

and that completes the development:

  y = 4·sin(θ)/sin(φ)

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Drupady [299]

Answer:

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Step-by-step explanation:

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zvonat [6]
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