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emmasim [6.3K]
3 years ago
11

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

Mathematics
1 answer:
jeka943 years ago
5 0

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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Answer:

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Step-by-step explanation:

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SOMEONE HELP WHAT IS THE ANSWER TO THESE QUESTIONS PLEASE HELP
romanna [79]
10.
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
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15x - 30 = 180
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Next, put value of x into equations to find the angle:
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3 years ago
Tyler does squats and pushups. He wants to increase the number of each type of exercise by 20% by the end of the month. He curre
Semenov [28]

Answer:

Tyler currently does 40 squats

Step-by-step explanation:

Tyler does squats and pushups.

<u>Currently:</u>

Number of pushups = 25

Number of squats = x

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<u>After increase:</u>

Number of pishups =25\cdot (1+0.2)=1.2\cdot 25=30

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If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now, thus

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