It’s an arithmetic sequence with a common difference of 12
24 degrees per second is 360 degrees in 15 seconds (pretty fast for a Ferris wheel!).
a) The distance above the ground can be modeled using a cosine function.
.. h(t) = 7 -6cos(2πt/15)
b) h(t) = 10
.. 10 = 7 -6cos(2πt/15)
.. (10 -7)/-6 = cos(2πt/15)
.. 2πt/15 = π ±π/3 +2kπ
. t = 7.5*((1 ±1/3) +2k) . . . . . . . . seconds; k = any integer
You are 10 meters above the ground at t=5 seconds and every 15 seconds thereafter, as well as at t=10 seconds and every 15 seconds thereafter.
Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions
<h3>Modulus functions</h3>
Modulus functions are functions that can either be positive or negative. Given the modulus function below;
|h| − 8 = 4
The modulus of h can both be negative and positive
If the modulus of h is positive then;
h - 8 = 4
Add 8 to both sides
h-8 + 8 = 4 + 8
h = 4 + 8
h = 12
If the value of h is negative
-h - 8 = 4
-h = 4 + 8
h =-12
Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions
Learn more on modulus function here: brainly.com/question/23450491
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Answer: 30.06
Step-by-step explanation: just multiply or type it into a calculator