1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Basile [38]
2 years ago
8

Ethan is observing an amusement park ride where the riders go around in a counterclockwise circular motion. The

Mathematics
1 answer:
konstantin123 [22]2 years ago
3 0

A sinusoidal equation can be used to describe the height because the height depends on a periodic motion, and the equation can be written as:

h(t) = 13ft*sin(pi*t) + 24ft

<h3>Why a sinusoidal equation can be used?</h3>

Remember that the sine function has a periodicity, such that:

sin(x + 2pi) = sin(x).

So, for a circle where if you do a complete rotation you end in the initial place, so there can be a relation between the height and a sinusoidal equation.

Notice that the initial position is 24ft above the ground, so we can write this, at the moment, as:

h(x) = Asin(n*t) + 24ft

A is the amplitude, it defines the maximum height and minimum height, both depend on the radius (the maximum height is 24ft plus the radius, the minimum height is 24ft minus the radius) then we write:

h(t) = 13ft*sin(kt) + 24ft

k depends on how much time takes to do a full rotation. We know that the sine function does a "complete cycle" in 2pi, while the wheel does a full rotation in 2 seconds, then we have that:

k*2 = 2pi

k = (2pi)/2s = pi

Then the sinusoidal equation that represents the height is:

h(t) = 13ft*sin(pi*t) + 24ft

If you want to learn more about sinusoidal equations, you can read:

brainly.com/question/9478364

You might be interested in
What is 34 ÷ 14?A) 1B) 3C) 4D) 316
Goryan [66]

Answer:

2.42

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
One angle of a right triangle measures 65°. What is the measure of the other acute angle?
kvasek [131]

answer:

25°

explanation:

triangle total: 180°

right angle: 90°

90 + 65 = 155

180 - 155 = 25

hope this helped!

6 0
2 years ago
!!!! I NEED HELP RIGHT NOW ITS DUE IM 5 MINUTES !!!!
kiruha [24]

Answer:

Step-by-step explanation:

A = h(a+b)/2 for h

2A = h(a + b)

h(a+b) = 2A

h = 2A/(a+b)

3 0
3 years ago
Name three different ways you can represent a group of equivalent ratios.
KonstantinChe [14]
One way is by using the same number

3 0
3 years ago
Read 2 more answers
Calculate the distance between the points M=(-1,-1) and P=(2, -8) in the coordinate plane. Give an exact answer (not a decimal a
pantera1 [17]
This is a Pythagorean Theorem problem. 3^2 + 7^2 = 58. C^2 = 58. C = 7.6157 (exact)

There is no exact answer for this. The closest we can get to 58 is 7.6157, which would leave us at 57.9988. So the approximate value is 7.6, but if you need the closest answer, it’s 7.6157.
8 0
2 years ago
Other questions:
  • Which statement correctly compares the spreads of the distributions?
    6·2 answers
  • Which angle appears to be acute?
    14·1 answer
  • I need some help on this question. Segment LM is the midsegment of trapezoid ABCD. AB=48, and DC=88. What is LM? I am not sure h
    13·1 answer
  • Solve for 19= -3a -5
    7·2 answers
  • On a biased dice , the probability of getting a 6 is 4/5. The dice is rolled 500 times. How many sixes would you expect to roll?
    5·1 answer
  • What is the value of the function y=3x−1 when x =−1 ?<br><br><br> −8<br><br> −4<br><br> 2<br><br> 6
    11·1 answer
  • PLZZZZZZ IL do anything give brainilest 5 star i'll like My grade depends on this PLEASE I NEED THIS TO BE CORRECT AND SHOW YOUR
    14·1 answer
  • What is the answer to this (in the picture above)
    8·2 answers
  • 8a + 9 (7 + 10a) help me out
    9·1 answer
  • Please take a look at the picture. Please write your answer with an explanation.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!