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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Answer:
The answer is -16
Step-by-step explanation:
The number of unit squares with a side length of 1/10 foot that Rhys uses to tile the rectangle is 24 units
<h3>How to calculate the area of plane shapes?</h3>
A square is a plane shape with 4 sides
The formula for calculating the area of the square is expressed as:
A = l^2
Given
side length of a square = 1/10 foot
A = (1/10)² = 1/100 = 0.01 square foot
<u>Determine the area of the rectangle</u>
Area = length * width
Area = 3/10 * 4/5
Area = 12/50 = 6/25
Area = 0.24 square foot
<u>Take the ratio of both areas</u>
Ratio = 0.24/0.01
Ratio = 24 units
Hence the number of unit squares with a side length of 1/10 foot that Rhys uses to tile the rectangle is 24 units
Learn more on area of plane shapes here: brainly.com/question/2644832
