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computergeek123 Group Title

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?

  • 2 years ago
  • 2 years ago

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  1. drpeppergal Group Title
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    What is the golden ratio?

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

    • 2 years ago
  3. pfenn1 Group Title
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    Assuming the length is larger than the width 1.618=x/110

    • 2 years ago
  4. drpeppergal Group Title
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    does it have any thing to do with fibonacci numbers?

    • 2 years ago
  5. bmp Group Title
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    ^Yeah, that's how I would solve it too. :-)

    • 2 years ago
  6. estudier Group Title
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    a/b = 1/2(1+sqrt(5))

    • 2 years ago
  7. computergeek123 Group Title
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    110 is not correct. :P

    • 2 years ago
  8. pfenn1 Group Title
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    @drpeppergal , according to wikipedia, the ratio of sequential elements of the Fibonacci sequence approaches the golden ratio asymptotically.

    • 2 years ago
  9. bmp Group Title
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    It's 177.98 @computergeek123 :-)

    • 2 years ago
  10. bmp Group Title
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    1.618*110 = x

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

    • 2 years ago
  12. estudier Group Title
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    Which side is which?

    • 2 years ago
  13. estudier Group Title
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    68 (approx) 110/68 = 1.618

    • 2 years ago
  14. computergeek123 Group Title
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    so i woulld put 180?

    • 2 years ago
  15. estudier Group Title
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    OK, assuming one is less than other, I see now...

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

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

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

    • 2 years ago
  19. computergeek123 Group Title
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    well theres 100, 120, 150 and 180 so i think 180 is best? @bmp

    • 2 years ago
  20. bmp Group Title
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    Yup, then it's

    • 2 years ago
  21. estudier Group Title
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    OK, assumed in the choices......grrr.

    • 2 years ago
  22. computergeek123 Group Title
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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

    • 2 years ago
  23. estudier Group Title
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    Double +1

    • 2 years ago
  24. bmp Group Title
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    Yeah, @estudier is correct. :-)

    • 2 years ago
  25. estudier Group Title
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    The tick was a clue:-)

    • 2 years ago
  26. computergeek123 Group Title
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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)

    • 2 years ago
  27. computergeek123 Group Title
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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.

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

    • 2 years ago
  29. computergeek123 Group Title
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    So i have the correct answers??

    • 2 years ago
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