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Anuta_ua [19.1K]
2 years ago
15

The area of a rectangular skate park is 6/11 square miles. The length of the

Mathematics
1 answer:
andre [41]2 years ago
8 0

Answer:

The answer to your question is 150 ft

Process

1.- Find the area of the city skate park

2.- Find the equation of the area of the new city skate park.

3.- Find the value of "x",

1.-  Area = length x width

   Area = 100 x 50

            = 5000 ft²

2.-    (100 + x) /50 + x) = 15000

       x² + 150x + 5000 = 15000

       x² + 150x + 5000 - 15000 = 0

       x² + 150x - 10000 = 0

      Factor the equation

      (x + 200)(x - 50) = 0

       x₁ = -200     x₂ = 50       Length can not be negative so the answer is

                                              50.

      New length = 100 + 50 = 150 ft

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Step-by-step explanation:

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2.8\times 13^{4x} +4.8 = 19.3

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13^{4x} = 5.17857142857

\log(13^{4x}) = \log(5.17857142857)

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Round to the nearest hundredth.

Hence final answer is approx x=0.16.

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