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 coordinates of point P are (1, -1)
Step-by-step explanation:
- If the point (x, y) reflected about the x-axis, then its image is (x, -y)
- To find the image of a point reflected about the x-axis change the sign of its y-coordinate
- The rule is R x-axis → (x, -y)
- If the point (x, y) reflected about the y-axis, then its image is (-x, y)
- To find the image of a point reflected about the y-axis change the sign of its x-coordinate
- The rule is R y-axis → (-x, y)
→ Assume that the coordinates of point P are (x, y)
∵ The coordinates of point P are (x, y)
∵ The rule of the reflection is R y-axis (P)
∴ Its image = (-x, y)
∵ The image = (-1, -1)
→ Equate the two images
∴ (-x, y) = (-1, -1)
∴ -x = -1
→ Divide both sides by -1
∴ x = 1
∵ y = -1
∴ The coordinates of point P are (1, -1)
Answer:
44
Step-by-step explanation:
crop the square into two, then you can see tangent which is 90°.
so, 360-90-90-136=44
Answer:
293.04 miles
Step-by-step explanation:
249.48 miles / 12.6 gallons is a proportion that is given to be true so we look to find an equivalent fraction that has 14.8 gallons in it and that respects this proportion.
