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Ne4ueva [31]
3 years ago
12

Sarah used a probability simulator to roll a 12-sided number cube 100 times. Her results are shown in the table below:

Mathematics
2 answers:
balu736 [363]3 years ago
5 0

Answer:

5 over 100 or 5/100

Step-by-step explanation:

finlep [7]3 years ago
4 0
5/100 given that a two occurred 5 times in 100 rolls.
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Two cables support a 800​-lb ​weight, as shown. Find the tension in each cable.
jeka94

Answer:

  • 892 lb (right)
  • 653 lb (left)

Step-by-step explanation:

The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...

  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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3 years ago
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Answer:

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Step-by-step explanation:

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