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ganeshie8

  • 2 years ago

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  1. mlb004
    • 2 years ago
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  2. ganeshie8
    • 2 years ago
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    look at the model

  3. ganeshie8
    • 2 years ago
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    its height is just 2 feet, whereas the actual ramp was 12feet.

  4. ganeshie8
    • 2 years ago
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    so the model is 6 times smaller than the actual ramp

  5. ganeshie8
    • 2 years ago
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    look at the grid now

  6. ganeshie8
    • 2 years ago
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    can you tell me the length of JL ?

  7. ganeshie8
    • 2 years ago
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    @mlb004 still there :)

  8. mlb004
    • 2 years ago
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    yes sorry

  9. ganeshie8
    • 2 years ago
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    np, take ur time :) see if u can find the length of JL

  10. mlb004
    • 2 years ago
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    Ok I am looking at the grid nd trying to figure it out.

  11. ganeshie8
    • 2 years ago
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    if you see, both J and L are at same height (60)

  12. ganeshie8
    • 2 years ago
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    J is on left side at 10 L is on right side at 34

  13. mlb004
    • 2 years ago
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    yes

  14. ganeshie8
    • 2 years ago
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    so length of JL = distance between JL= 34-10 = 24

  15. mlb004
    • 2 years ago
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    ok

  16. ganeshie8
    • 2 years ago
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    so we now knw two lengths of actual ramp. JK = 12 feet JL = 24 feet

  17. mlb004
    • 2 years ago
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    yes ok

  18. ganeshie8
    • 2 years ago
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    we need to figure out where R goes

  19. mlb004
    • 2 years ago
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    ok

  20. ganeshie8
    • 2 years ago
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    look at the ramps, JL of actual ramp is represented by PR in model, right ?

  21. mlb004
    • 2 years ago
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    yes it is

  22. ganeshie8
    • 2 years ago
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    now this is the key :- since the model is 6 times smaller than actual ramp, PR will also be 6 times smaller than JL

  23. ganeshie8
    • 2 years ago
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    so, PR = JL/6 = 24/6 = 4

  24. mlb004
    • 2 years ago
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    Yes that makes sense

  25. ganeshie8
    • 2 years ago
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    good :) so what does that mean ?

  26. ganeshie8
    • 2 years ago
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    it means, we need to pick R such that it is 4 feet away from P

  27. ganeshie8
    • 2 years ago
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    look at grid now

  28. ganeshie8
    • 2 years ago
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    P is located at (30, 20)

  29. mlb004
    • 2 years ago
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    yes

  30. ganeshie8
    • 2 years ago
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    can we say R can be at (30+4, 20) = (34, 20)

  31. ganeshie8
    • 2 years ago
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    ?

  32. mlb004
    • 2 years ago
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    yes

  33. ganeshie8
    • 2 years ago
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    thats it ! point R has to be at (34, 20)

  34. mlb004
    • 2 years ago
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    And we explain this usuing reasoning because of all of the above notes?

  35. ganeshie8
    • 2 years ago
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    you can compress it :-

  36. mlb004
    • 2 years ago
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    ok

  37. ganeshie8
    • 2 years ago
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    Since QP(2feet) in model is smaller than JK(12feet) in actual ramp by 12 times, all dimensions in model have to be smaller than actual ramp by 6 times. From the grid, length of JL = 24. JL is represented in model as PR. Since PR has to be 6 times smaller than JL. so PR = 24/6 = 4 feet. Since P is fixed in grid at (30, 20), R point which is 4feet from P can be at (30+4, 20) = (34, 20).

  38. mlb004
    • 2 years ago
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    oh ok, thank you so much. :)

  39. ganeshie8
    • 2 years ago
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    np :)

  40. mlb004
    • 2 years ago
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    What is the sum of the first 12 terms in the Fibonacci Sequence? Term - 1,2,3,4,5,6,7,8,9 Febonacci Number - 1,1,2,3,5,8,13,21,34 Numberical number? _________

  41. ganeshie8
    • 2 years ago
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    use this :- sum of first n numbers = (n+2)th numeber - 1

  42. ganeshie8
    • 2 years ago
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    since you want to knw suermnsm of first 12 terms, you need to look for (12+2) = 14th number

  43. mlb004
    • 2 years ago
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    ok

  44. ganeshie8
    • 2 years ago
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    google and tell me, whats the 14th number in fibonacci sequence

  45. mlb004
    • 2 years ago
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    Ok, I am doing it now.

  46. mlb004
    • 2 years ago
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    It is 377

  47. ganeshie8
    • 2 years ago
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    correct! thats the 14th number. subtract 1 to get the sum of first 12 numbers

  48. mlb004
    • 2 years ago
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    so 376 is the answer?

  49. ganeshie8
    • 2 years ago
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    sum of first 12 numbers = (12+2)the number - 1 = 14th number - 1 = 377 - 1 = 376

  50. ganeshie8
    • 2 years ago
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    yes thats the answer. you can confirm it by adding manually all 12 numbers !

  51. mlb004
    • 2 years ago
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    So is the Fibonacci Sequence always the same?

  52. ganeshie8
    • 2 years ago
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    Yes

  53. mlb004
    • 2 years ago
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    Ok so if it asks what the 13th term in the Fibonacci Sequence is then it would be 233?

  54. ganeshie8
    • 2 years ago
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    you're tossing, whether to call 233 ias 13th number or 14th number ?

  55. mlb004
    • 2 years ago
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    It asked me : What is the 13th term in the Fibonacci Sequence?

  56. mlb004
    • 2 years ago
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    That is a 2nd question, I got and understand the first question.

  57. ganeshie8
    • 2 years ago
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    cuz if u start from 0,1 then 14th number wud be 233 if u start from 1,1 then 13th number wud be 233

  58. ganeshie8
    • 2 years ago
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    You have posted this :- What is the sum of the first 12 terms in the Fibonacci Sequence? Term - 1,2,3,4,5,6,7,8,9 Febonacci Number - 1,1,2,3,5,8,13,21,34 Numberical number? _________

  59. ganeshie8
    • 2 years ago
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    Is this what they gave you to use ?

  60. mlb004
    • 2 years ago
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    My chart starts with 1 so I was saying the correct answer would be 233, correct?

  61. ganeshie8
    • 2 years ago
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    here it starts from 1,1..

  62. ganeshie8
    • 2 years ago
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    yes, if you start from 1,1, then, 13th number is 233

  63. mlb004
    • 2 years ago
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    Yes starts 1, 1, 2, 3, 5, 8, 13, 21, 34 and so on. Ok that is what I thought. And one more question please.

  64. ganeshie8
    • 2 years ago
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    but actual fibonacci sequence starts from 0,1... but you should use what ur chart shows :)

  65. ganeshie8
    • 2 years ago
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    yea sure

  66. mlb004
    • 2 years ago
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    Using the same chart starting at 1,1 What is the ratio between 14th and 13th terms in the Fibonacci sequence? Round your answer to five decimal places.

  67. ganeshie8
    • 2 years ago
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    14th number : ? 13th number : ?

  68. ganeshie8
    • 2 years ago
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    377 233

  69. mlb004
    • 2 years ago
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    So you just subtract correct

  70. ganeshie8
    • 2 years ago
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    ratio between 14th and 13th terms = \(\large \frac{377}{233}\)

  71. ganeshie8
    • 2 years ago
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    ratio means division !

  72. mlb004
    • 2 years ago
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    1.6180258

  73. ganeshie8
    • 2 years ago
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    dont forget to round it to 5 decimal places

  74. mlb004
    • 2 years ago
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    Since it says round to 5 decimal places it would be 1.61803 is that correct?

  75. ganeshie8
    • 2 years ago
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    correct

  76. mlb004
    • 2 years ago
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    Oh I did it. Thank you so much for explaining that, that actually helped me with 3 problems.

  77. ganeshie8
    • 2 years ago
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    np :) btw this 1.61803 is called Golden ratio. it was used in Greek architectures like parthenon building and all... u may google "Golden ratio" if u have interest u wil get to know cool things

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