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mihalych1998 [28]
2 years ago
15

If a car weighs 1500 pounds, rank the following scale weights from most accurate to least accurate.1505 pounds1600 pounds1497.8

pounds1510.5157 pounds
Mathematics
1 answer:
ladessa [460]2 years ago
5 0

<span>The question is actually a trick question. And to find the most accurate to the least accurate weight scale, you just need to find the answer with the most decimal places and the one with the least.

So the answers from most accurate to least accurate would be:</span>

 

<span>1510.5157 </span><span>
<span>1497.8 </span>
<span>1505 </span>
<span>1600</span></span>

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Two cables support a 800​-lb ​weight, as shown. Find the tension in each cable.
jeka94

Answer:

  • 892 lb (right)
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Step-by-step explanation:

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  Rcos(45°) +Lcos(75°) = 800

  Rsin(45°) -Lsin(75°) = 0

Solving these equations by Cramer's Rule, we get ...

  R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))

     = 800sin(75°)/sin(120°) ≈ 892 . . . pounds

  L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds

The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.

_____

This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...

  (right, left) = w/sin(α+β)×(sin(β), sin(α))

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