CPhill

S  = arc length

S  =  2 pi (radius) (120 /360)

S  =  2 pi  (12.6) (1/3)

S  =  25.2 / 3   * pi  

S  =  8.4 pi   cm

The maximum height of the Ferris wheel above ground is 40 m.  -  True

If the car is loaded at 0 s, then people are loaded at the lowest height of the Ferris wheel. - True

The radius of the Ferris wheel is 26 m.  -  False  ....the radius  is   (46 - 6) / 2  =  20 ft

The car makes a complete revolution in 8 s. - True

2. 

Easy to solve, NSS    !!!                           

30 * 44   =  55 * C      where C is the cost per  person

1320  =  55 * C      divide both sides by 55

$24  =  C

This makes sense....it should cost less per person if more people go on the trip !!!

1. Here's what we need , NSS

y  =  kwx        and we need to find "k" thusly :

        ____

          z

And we know that

540  = k (15) (30) / 5   simplify

540  =  450/ 5  * k

540  =  90 k     divide both sides by  90

6 = k

So...the relationship is

y  = 6 wx

      _____

         z

No clue....I just guessed.....cross my heart   !!!!

First one :

y  =      2

         _____   +     4

         x + 3

Second one ;

y   =    x  - 8

         ________

         x^2 + 6x - 7

y =     x  - 8

        ____________        discontinuous  at x  = -7  and x  = 1    {these make the denominator = 0 }

        (x + 7) ( x - 1)

Stars  ???

When we have a right triangle like this...we have the following relationship

12/ height =  height/ 9       cross-multiply

108  =  height^2       take the positive root

√108  = height 

Using the Pythagorean Theorem.....

y  = √  [ (√108)^2  + 12^2 ]

y  = √  [ 108 + 144]

y  =  √252  =  √ { 7 * 36 ]   =  6 √ 7

Definitely....addition/subtraction  (the 2y^2 terms will  cancel....!!! )

I'll guess....  Lightning  !!!!