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anonymous

  • one year ago

A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of b in the drawing below:

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  1. anonymous
    • one year ago
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  2. jennyrlz
    • one year ago
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    hello :)

  3. Michele_Laino
    • one year ago
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    since the pools are similar each to other, then we can write these proportions: \[\Large \begin{gathered} 14:7 = 22:b \hfill \\ \hfill \\ 14:7 = 16:c \hfill \\ \hfill \\ 14:7 = a:9 \hfill \\ \end{gathered} \]

  4. anonymous
    • one year ago
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    so that is the whole answer sir,?

  5. jennyrlz
    • one year ago
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    @Michele_Laino what does the "Q" untop of your score mean?

  6. Michele_Laino
    • one year ago
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    it means that I am a Qualified Helper of OpenStudy

  7. jennyrlz
    • one year ago
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    Wow, nice :)

  8. Michele_Laino
    • one year ago
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    thanks! :)

  9. jennyrlz
    • one year ago
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    @idontmind 22/b=14/7

  10. Michele_Laino
    • one year ago
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    please, you have to solve the first proportion in order to find the value of b

  11. jennyrlz
    • one year ago
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    ill leave this to you :)

  12. Michele_Laino
    • one year ago
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    ok! :)

  13. Michele_Laino
    • one year ago
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    If I apply the fundamental property of proportions, I can write: \[\Large b = \frac{{22 \times 7}}{{14}} = ...?\]

  14. anonymous
    • one year ago
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    is the proportion 7

  15. Michele_Laino
    • one year ago
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    what is: \[\Large b = \frac{{22 \times 7}}{{14}} = ...?\]

  16. anonymous
    • one year ago
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    00.9

  17. Michele_Laino
    • one year ago
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    hint: \[\Large b = \frac{{22 \times 7}}{{14}} = \frac{{154}}{{14}} = ...?\]

  18. Michele_Laino
    • one year ago
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    what is 154: 14 =...?

  19. anonymous
    • one year ago
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    is it 9 @Michele_Laino I got disconnected sorry

  20. Michele_Laino
    • one year ago
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    hint: 154:14 = 11 right?

  21. anonymous
    • one year ago
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    because of 22 right?

  22. Michele_Laino
    • one year ago
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    yes!

  23. Michele_Laino
    • one year ago
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    so, we have: b=11

  24. jennyrlz
    • one year ago
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    Just wondering why did you get b=22*7/14 instead of 22*87/14b?

  25. anonymous
    • one year ago
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    oh ok so is that partially the answer

  26. Michele_Laino
    • one year ago
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    since the pool for dog is scaled by a factor 1/2 with respect to the other pool, so b has to be 22/2=11

  27. jennyrlz
    • one year ago
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    That is the answer idontmind :)

  28. anonymous
    • one year ago
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    OOOOOOOOO I GET IT!!!! THANKS!!!

  29. Michele_Laino
    • one year ago
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    :)

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