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:
Simply search for surface area formula for pyramid on goole and plug the numbers into the formula!! Thank you so much!!
Step-by-step explanation:
Answer:
110,050
Step-by-step explanation:
You have a rectangle at the top with a w of 310 and a l of 210 = 65,100
The triangle has a height of 290 and a base of 310 = 44,950
18 is the value hope it helps
Answer:
- 112 ft
- 3 - 7 seconds interval
Step-by-step explanation:
<u>Given function:</u>
<u>The height of the platform is the y-intercept, when t = 0:</u>
- f(0) = - 16*0 + 96*0 + 112 = 112 ft
The ball's height is decreasing once it reaches the maximum, which is at vertex.
<u>The vertex is at x = -b/2a:</u>
<u>The ball hits the ground when f(t) = 0:</u>
- - 16t² + 96t + 112 = 0
- t² - 6t - 7 = 0
- (t - 7)(t + 1) = 0
- t = 7 (positive root)
The interval is between 3 seconds and 7 seconds
