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Bond [772]
2 years ago
11

The strength of a rectangular beam varies

Mathematics
1 answer:
aleksandrvk [35]2 years ago
4 0

Answer:

  • 1296 pounds per square inch

Step-by-step explanation:

<u>Direct variation equation:</u>

  • y = kx

<u>In this case it is:</u>

  • y = kx², where y- strength, x- depth of the beam, k- coefficient

<u>Substitute the given values and solve for k:</u>

  • 3600 = k*10²
  • 3600 = 100k
  • k = 3600/100
  • k = 36

<u>The equation becomes:</u>

  • y = 36x²

<u>Now, find the value of y, when x is 6:</u>

  • y = 36*6² = 1296

<u><em>Note, I took the depth as 6 inches but the question is a bit confusing by saying "four six inches". If it is 4 inches then your answer will be:</em></u>

  • y = 36*4² = 576
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