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LUCKY_DIMON [66]
3 years ago
15

Please help me!

Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0

Answer:

  • x = 12
  • Side = 23 units

Step-by-step explanation:

<u>STU is an equilateral triangle. And:</u>

  • ST = 2x - 1
  • SU = 5x - 37
  • TU = x + 11

<u>All sides are equal. Then take one pair and solve for x:</u>

  • 2x - 1 = 5x - 37
  • 3x = 36
  • x = 12

<u>Substitute x to find the side length:</u>

  • 2x - 1 = 5x - 37 = x + 11 = 23
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The volume of a rectangular prism with a square base is fixed at 120 cubic feet.
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Answer:

<u>The correct answer is C.  A(x) = 480/x +2x²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Volume of a rectangular prism with square base = 120 cubic feet

Side of the square base = x

Height of the prism = h

2. Write the surface area of the prism as a function A(x) of the length of the side of the square x.

Let's find out A(x) this way:

Volume of a rectangular prism with square base = 120 cubic feet

x² * h = 120

h = 120/x²

Now, let's substitute h in the surface area formula, this way:

Surface area = 2 * side of the square base² + 4 * side of the square base * height

A(x) = 2x² + 4x * 120/x² (Recall 120/x² = h and side of the square = x)

A(x) = 2x² + 480x/x²

<u>A(x) = 2x² + 480/x </u>

<u>The correct answer is C.  A(x) = 480/x +2x²</u>

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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