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katen-ka-za [31]
2 years ago
5

A, E and B lie on a straight line segment.

Mathematics
1 answer:
Jobisdone [24]2 years ago
4 0

The length of line BE on the given line segment is 3.5 m.

The given parameters:

  • <em>Length BD = 3 m</em>
  • <em>Length CD = 15 m</em>
  • <em>Length AB = 21 m</em>

<em />

The sketch of the given line segments is presented in the diagram uploaded.

The length of BE is determined by applying similar triangle theorem as follows;

\frac{CB}{AB} = \frac{BD}{EB} \\\\\frac{15 + 3}{21} = \frac{3}{EB} \\\\18EB = 63 \\\\EB = \frac{63}{18} \\\\EB = 3.5 \ m

Thus, the length of line BE on the given line segment is 3.5 m.

Learn more about similar triangle here: brainly.com/question/11899908

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Answer:

Sides of the rectangular area:

x =  30  f

y =  33  f

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C = Costs ( sides x)  + costs ( sides y )

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Tacking derivative on both sides of the equation:

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C´(x) = 0       22  - 19800/x²  =  0

Solving for x

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22x²  =  19800

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x₁,₂ = ± 30        We dismiss negative root ( we never have negative lenghts)

Then     x =  30 f

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C´´ (x) = 39600/x³    so C´´ is always greater than 0 then C (x) has a minimum at x = 30

Sides of the rectangular area are:

x  =  30

y  =  33

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