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
Mila [183]
1 year ago
14

Just this please helppp

Mathematics
1 answer:
Murrr4er [49]1 year ago
5 0

The height of the <em>water</em> depth is h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours, and the height of the Ferris wheel is h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds. Please see the image to see the figures.

<h3>How to derive equations for periodical changes in time</h3>

According to the two cases described in the statement, we have clear example of <em>sinusoidal</em> model for the height as a function of time. In this case, we can make use of the following equation:

h = a + A · sin (2π · t/T + B)     (1)

Where:

  • a - Initial position, in meters.
  • A - Amplitude, in meters.
  • t - Time, in hours or seconds.
  • T - Period, in hours or seconds.
  • B - Phase, in radians.

Now we proceed to derive the equations for each case:

Water depth (u = 20 m, l = 8 m, a = 14 m, T = 12 h):

A = (20 m - 8 m)/2

A = 6 m

a = 14 m

Phase

20 = 14 + 6 · sin B

6 = 6 · sin B

sin B = 1

B = π/2

h = 14 + 6 · sin (π · t/6 + π/2), where t is in hours.

Ferris wheel (u = 40 m, l = 2 m, a = 21 m, T = 40 s):

A = (40 m - 2 m)/2

A = 19 m

a = 21 m

Phase

2 = 21 + 19 · sin B

- 19 = 19 · sin B

sin B = - 1

B = - π/2

h = 21 + 19 · sin (π · t/20 - π/2), where t is in seconds.

Lastly, we proceed to graph each case in the figures attached below.

To learn more on sinusoidal models: brainly.com/question/12060967

#SPJ1

You might be interested in
How do I get the area in this
Nostrana [21]
You have to do 4x4 and you will get 16in2 but out the 2 in the corner of inches that your area
8 0
3 years ago
Is the quotient of two integers always a rational number? Explain.
Troyanec [42]

Answer:

It is true that the quotient of two integers is always a rational number. This is because a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

4 0
3 years ago
Solving simular triangles advanced
Reptile [31]

Answer:

x = 3/2

Step-by-step explanation:

We can use ratios to solve

6            6+x

-------- = -----------

4              5

Using cross products

6*5 = 4 * (6+x)

30 = 24 + 4x

Subtract 24 from each side

30 -24 = 24+4x-24

6 = 4x

Divide each side by 4

6/4 = 4x/4

3/2 = x

3 0
3 years ago
Read 2 more answers
32 and 2.56 what is the unit rate
Serggg [28]
12.5 

I hope this helped.

5 0
2 years ago
For women aged 19-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation
Mrac [35]

Answer: p = 0.00714

Step-by-step explanation:

Since the population standard deviation of the distribution is known, the z test ( which produces the z score) is the perfect test for finding the probability of the data set in the question.

From the question,

Population mean (u) = 114.8

Sample mean (x) = 121.5

Population standard deviation (σ) = 13.1

Sample size (n) = 23

The z score formulae is given below as

Z = x - u/σ/√n

Z = 121.5 - 114.8/(13.1/√23)

Z = 6.7/(13.1/√23)

Z = 6.7/2.731

Z = 2.45.

The question is interested in knowing the probability of mean systolic blood pressure greater than 121.5.

This implies that we are looking for the probability at which our z score is greater than 2.45: P(z>2.45)

The z score (z=2.45) has divided the distribution into two regions, z< 2.45 ( area to the left of the distribution) and z>2.45 ( area to the right of distribution).

Hence, p(z>2.45) + p(z<2.45) = 1

To get a the probability, we have to use a standard normal distribution table.

The table we have here gives probability of the distribution to the left ( that's area towards the left), hence we need to find p(z<2.45) first

From the table p(z<2.45) = 0.99286

But p(z>2.45) = 1 - p(z<2.45)

p(z>2.45) = 1 - 0.99286

p(z>2.45) = 0.00714

8 0
3 years ago
Other questions:
  • If $2,400 is divided evenly by 3 charities, how many dollars does each charity get?? ( Please help)
    12·2 answers
  • Sophia baby-say 3 7/12 hours on Friday. She baby-sat 2 5/6 hours on Saturday. Which is the best estimate of how many hours Sophi
    9·1 answer
  • Enlarge the triangle by a scale factor of 1.5
    5·2 answers
  • somebody please help me on this geometry it is urgent!! i’ll mark you the brainliest please don’t waste answers
    7·1 answer
  • 7. A point with coordinates (5,-6) is rotated 180 degrees counterclockwise about the origin. What are the coordinates of its ima
    10·2 answers
  • Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 5 x minus 8 when x is less than 0
    7·2 answers
  • Follow the rule to find the next three numbers in pattern . describe the pattern using the terms even and odd. add 5: 1, 6, 11
    7·1 answer
  • Please help don’t understand
    11·1 answer
  • Can u help me with this
    11·2 answers
  • What is the range of these weights?<br> 79 g<br> 88 g<br> 116 g<br> 109 g<br> 93 g
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!