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bixtya [17]
3 years ago
7

The table of values shows the height of a car of a Ferris wheel as it travels in a circular motion.

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
8 0

Answer:

  • The car makes a complete revolution in 12 s.

Step-by-step explanation:

The table header tells you the distances are <em>feet</em> (not yards). The maximum height is 55 feet, and the lowest point is 5 feet. The difference between these values is the diameter of the wheel, 50 feet, so the radius is 25 feet.

The wheel goes from its highest point to its highest point in 15 -3 = 12 seconds, so that is the time required for a complete revolution.

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    2x + 5            3x + 5                  x + 1
---------------  - -----------------  - -------------------
   x(x - 3)         x (x+3)(x-3)       (x +3)(x - 3)

      (x + 3) (2x + 5)   -   (3x + 5)     -  x ( x + 1)
=  ---------------------------------------------------------
                         x (x+3)(x-3)   

      2x^2 +6x +5x + 15 -3x - 5 -x^2 - x
=  -----------------------------------------------
                         x (x+3)(x-3)      

     x^2 + 7x  + 10 
=  --------------------
      x (x+3)(x-3)     

     (x +5)(x+2)
=  --------------------
     x (x+3)(x-3)     

or

      (x +5)(x+2) 
=  --------------------
         x^3 - 9

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