Answer:
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Considering the period of the cosine function, it is found that it takes 40 seconds for the wheel to complete one turn.
<h3>What is the period of the cosine function?</h3>
The cosine function is defined by:
f(x) = acos(bx + c) + d.
For the period, we have to look at coefficient b, and the period is:
P = 2π/|B|
For this problem, the function is given by:
h(x) = 15 cos(π/20)
Hence B = π/20, and the period is:
P = 2π/|B| = 2π/(π/20) = 2 x 20 = 40 seconds.
Hence it takes 40 seconds for the wheel to complete one turn.
More can be learned about the period of trigonometric functions at brainly.com/question/12502943
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The first function is represented by the green line, while the second is represented by the orange line
<h3>What are piecewise functions?</h3>
Piecewise functions are functions that have at least 2 sub functions, each of which have different intervals
The function is defined by

<h3>(a) Graph the first function</h3>
The first function in f(x) is defined by

See attachment for the graph of the first function
<h3>(b) Graph the second function</h3>
The second function in f(x) is defined by

See attachment for the graph of the second function
Read more about piecewise functions at:
brainly.com/question/18859540
Step-by-step explanation:
the similarity of the triangle:
x/18 = 8/12
=> 12x = 18×8
12x = 144
x = 12