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computergeek123

The local community park is designing a pool using the Golden Ratio. If the pool is 110 feet wide, about how long should it be?

  • one year ago
  • one year ago

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  1. drpeppergal
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    What is the golden ratio?

    • one year ago
  2. pfenn1
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    The golden ratio is also called the divine proportion. It equals 1.618 (approx).

    • one year ago
  3. pfenn1
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    Assuming the length is larger than the width 1.618=x/110

    • one year ago
  4. drpeppergal
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    does it have any thing to do with fibonacci numbers?

    • one year ago
  5. bmp
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    ^Yeah, that's how I would solve it too. :-)

    • one year ago
  6. estudier
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    a/b = 1/2(1+sqrt(5))

    • one year ago
  7. computergeek123
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    110 is not correct. :P

    • one year ago
  8. pfenn1
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    @drpeppergal , according to wikipedia, the ratio of sequential elements of the Fibonacci sequence approaches the golden ratio asymptotically.

    • one year ago
  9. bmp
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    It's 177.98 @computergeek123 :-)

    • one year ago
  10. bmp
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    1.618*110 = x

    • one year ago
  11. bmp
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    Typo: it should be \[\LARGE \Phi^n = Fib(n) \Phi + Fib(n-1) \]

    • one year ago
  12. estudier
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    Which side is which?

    • one year ago
  13. estudier
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    68 (approx) 110/68 = 1.618

    • one year ago
  14. computergeek123
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    so i woulld put 180?

    • one year ago
  15. estudier
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    OK, assuming one is less than other, I see now...

    • one year ago
  16. bmp
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    180 is too much rounding, I guess. 178 is better, but we are already rounding phi to 1.618 only :-)

    • one year ago
  17. estudier
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    I still say there are 2 answers, why should you divide length by width?

    • one year ago
  18. bmp
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    Sure, I agree @estudier. It's a pretty badly formulated question. @computergeek123 should pick between one of two. :-)

    • one year ago
  19. computergeek123
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    well theres 100, 120, 150 and 180 so i think 180 is best? @bmp

    • one year ago
  20. bmp
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    Yup, then it's

    • one year ago
  21. estudier
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    OK, assumed in the choices......grrr.

    • one year ago
  22. computergeek123
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    is this next one correct? Which number comes next in this sequence? 2, 5, 11, 23, 47 … Answer 68 82 95✔ 101

    • one year ago
  23. estudier
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    Double +1

    • one year ago
  24. bmp
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    Yeah, @estudier is correct. :-)

    • one year ago
  25. estudier
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    The tick was a clue:-)

    • one year ago
  26. computergeek123
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    Meg grows broccoli in a square plot in her garden. She created a drawing of her broccoli plot on a coordinate grid. The locations of three corners of the plot are represented by coordinates (3, 0), (1, 6), and (7, 8). Which of these coordinates represent the fourth corner? (8, 2) (8, 3) (9, 2)✔✔ (9, 3)

    • one year ago
  27. computergeek123
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    Bibi is using a software program that allows her to change the shape of a two-dimensional figure by making changes to the sides. She starts with a quadrilateral with opposite sides parallel. She stretches the shorter edges of the quadrilateral to make all four sides congruent. Which statement best describes the figure that she created? Answer She changed a kite to a square. She changed a rectangle to a square. She changed a trapezoid to a rhombus.✔ She changed a parallelogram to a rhombus.

    • one year ago
  28. bmp
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    The last one, it's just the definition of a trapezoid and a rhombus, so, it's correct :-)

    • one year ago
  29. computergeek123
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    So i have the correct answers??

    • one year ago
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