A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position of the Ferris wheel is level with the loading platform. The wheel completes one revolution in 8 minutes. The function, h(t), gives your height in meters above the ground t minutes after the wheel beings to turn. How high are you off the ground after 6 minutes

Answers

Answer 1

Answer:

height = 20.5068 m    

Step-by-step explanation:

Given the data in the question;

First, lets calculate the amplitude, midline and period of 8minutes

Amplitude = 35 / 2 = 17.5

|A| = 17.5

A = - 17.5  { since the wheel starts at 6 o clock }

midline  C = (35/2) + 3

C = 17.5 + 3

C = 20.5

And period is 8 minutes

⇒ 2π/B = 8

8B = 2π

B = 2π/8 = π/4

So our equation will be in the form of;

y = h(t) = Acos(B×t) + C

∴ h(t) = -17.5cos( π/4×t) + 20.5  

Now, How high are you off the ground after 6 minutes

⇒ height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( π/4 × 6) + 20.5    

height = -17.5cos( 4.71238898) + 20.5    

height = -17.5 × cos( 4.712) + 20.5  

height = -17.5 × -0.00038898 + 20.5                  

height = 0.0068 + 20.5  

height = 20.5068 m    


Related Questions

please help me on this its reading​

Answers

The answer is C to be informed about a new topic.

Answer:

C.

Step-by-step explanation:

C. be informed about a new topic

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.
What are the solutions to the attached equation?

Answers

Answer:

x = -6, 1

Step-by-step explanation:

x=[tex]\frac{-5+\sqrt{49} }{2}[/tex] or x= [tex]\frac{-5-\sqrt{49} }{2}[/tex]

x=[tex]\frac{-5+7}{2}[/tex] or x=[tex]\frac{-5-7}{2}[/tex]

x=2/2 or x=-12/2

x = 1, -6

howdy!!

yr answer is B. x = -6, 1

goodluck on edge!! ^_^

Mathematics challenge

Answers

Get the equation of the line containing PQ using the point-slope formula:

y - (-2) = 3/2 (x - (-6))

Solve for y to get it in slope-intercept form:

y = 3/2 x + 7

so the y-intercept is (0, 7).

The line containing QR is then

y - 7 = -3/4 (x - 0)

or

y = -3/4 x + 7

The point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:

0 = -3/4 x + 7

3/4 x = 7

x = 4/3×7 = 28/3

So the point R has coordinates (28/3, 0).

Answer:

Point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:

0 = -3/4 x + 7

Take off the zero...

3/4 x = 7

Answer

x = 4/3×7 = 28/3

And there it is

Point R has the coordinates (28/3, 0).

Step-by-step explanation:

Math 3rd grade can someone explain easy for 3rd grade child thanks

Answers

Answer:

A is 16, B just draw a line down from the inside square to make a rectangle, C. just multiply all the numbers around the square

Step-by-step explanation:

<<

Answer:

A) 72 in²

B) From the bottom right corner of the shaded square, draw a line either straight down or to the right.

C) 56 in²

Step-by-step explanation:

A) 8x9=72 in²

B) From the bottom right corner of the shaded square, draw a line either straight down or to the right.

C) The shaded area is 4x4=16, so you need to subtract that from the 72.

72-16=56 in²

The polynomial - 16 + v.t+s, represents the height (in feet) of an object, where v, is the initial vertical

velocity (in feet per second), s, is the initial height of the object (in feet), and is the time in seconds). Write a polynomial that represents the

height of the object. Then find the height of the object after 1 second.

Answers

Complete question is;

The polynomial -16t² + v_o(t) + s_o represents the height (in feet) of an object, where v_o is the initial vertical

velocity (in feet per second), s_o is the initial height of the object (in feet), and t is the time in seconds. Write a polynomial that represents the height of the object that has an initial velocity of 25 ft/s and initial height of 4ft. Then find the height of the object after 1 second.

Answer:

A) Polynomial is h(t) = -16t² + 25t+ 4

B) h(1) = 13 ft

Step-by-step explanation:

A) We are given;

h = -16t² + v_o(t) + s_o

Where;

v_o = the initial vertical velocity

s_o = the initial height of the object

t = the time

We are given;

v_o = 25 ft/s

s_o = 4 ft

Thus, polynomial that represents the height is;

h(t) = -16t² + 25t+ 4

B) after a time of 1 second, height is;

h(1) = -16(1²) + 25(1) + 4

h(1) = -16 + 25 + 4

h(1) = 13 ft

The hanger image below represents a balanced equation. Write an equation to represent the image. PLEASE HELP ILL MARK U AS BRAINLIST OR WHATEVER o(*°▽°*)o

Answers

Answer:

i think its 3 in all the boxes but trying is better than not ig wait no nvm

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

36?

Step-by-step explanation:

split in two, triangle 6x6=36/2=18, rectangle 6x3=18, whole 18+18=36 your answer is 36

Answer:

it's 36 square feet

Step-by-step explanation:

Plz help just solve quicklyyy

Answers

Answer:

d

Step-by-step explanation:

Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).

Answers

Answer:

4x-3

Step-by-step explanation:

Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.

What are equation of a line that is parallel to that line?

Two lines are said to be parallel if they always maintain the same distance apart. If two lines are drawn so that they could extend into infinity without ever meeting each other, these lines are called parallel. Parallel lines are also called Equidistant lines.

Given

Equation of line y = 4x + 1

Point = (1, 1)

Equation of the line that is parallel to y = 4x + 1 is y=kx + b

Here k =4

y = 4x + b and contains the point (1,1)

Substitute the point (1,1) in y= 4x + b

⇒ 1 = 4(1) + b

⇒ 1 - 4 = b

⇒ b = -3

y = 4x + b

⇒ y = 4x - 3

Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.

Find out more information about equation of line here

https://brainly.com/question/402319

#SPJ2

Find the range of the data. 26, 21, 27, 33, 24, 29

Answers

Answer:

33-21=9

Step-by-step explanation:

Students in an environmental science class raised money to buy plants for a community garden. The students raised money by selling regular cupcakes for $2.00 each and gluten-free cupcakes for $3.00 each. The number of regular cupcakes sold was determined to be 2 times the number of gluten-free cupcakes sold. If a total $350 was raised through cupcake sales over a three-week period, how many cupcakes were sold altogether

Answers

Answer:

50 gluten-free cupcakes and 100 regular cupcakes.

Step-by-step explanation:

Let's define the variables:

R = number of regular cupcakes sold

G = number of gluten-free cupcakes sold

The total amount of money raised then is:

M = R*$2.00 + G*$3.00

We also know that:

The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.

then:

R = 2*G

And we also know that the amount of money raised is $350

Then we have the equations:

R = 2*G

R*$2.00 + G*$3.00 = $350

We can replace the first equation into the second one, so we have only one variable:

(2*G)*$2.00 + G*$3.00 = $350

Now we can solve this for G.

G*$4.00 + G*$3.00 = $350

G*$7.00 = $350

G = $350/$7.00 = 50

G = 50

50 gluten-free cupcakes where sold.

And using the equation:

R = 2*G = 2*50 = 100

We can conclude that 100 regular cupcakes were sold.

does anyone know the answer and how to show your work

Answers

Answer:  (A)-2, -1

(b) 3,0

(C) 7,2

Step-by-step explanation:

So you just go and write the place and which ever one isnt there then theres you answer. I THINK

Vincent began his weekly chores on Saturday morning at 11:20 he worked for 1 hour and 15 minutes with a 10 minute break at what time did Vincent finish his chores

Answers

Answer:

12:45

Step-by-step explanation:

Step One: An hour after 11:20 is 12:20, plus 15 minutes is 12: 35.

Step Two: Just add 10 minutes, because it doesn't matter when you add the ten minutes.

..Find the missing number? ​

Answers

Answer:

The missing number would be 17

Step-by-step explanation:

Answer: I think it’s 7

Step-by-step explanation:

Sumita buys a set of earphones for £12.17.
She pays with £15.
How much change does she get?
Give your answer in £.​

Answers

Answer:

2.83

Step-by-step explanation:

Please give brainliest

Answer:

2.83

Step-by-step explanation:

geometry math plz help

Answers

Answer:

1. mCD is equal to 84 degrees.

2. I believe that RPT would be equal to approximately 51 feet. I think I am right, but I am not 100% sure. I used formula though.

Step-by-step explanation:

1. In order to find the measure of CD, you would find the measure of AD and CD, because they add to 180, and from there you can take the answer, which will be the x value, and plug it back into measure CD's equation.

1. Add the equations of mAD and mCD and set them equal to 180, because together on the graph they add to 180 degrees, which is a semi-circle.  

19x-49+5x+37=180

24x-12=180

2. Solve.

24x-12=180

24x=168

x=7

3. Plug x back into mCD and find the answer!

19(7)-49=84

mCD= 84 degrees!

2. Arc Length Formula

2[tex]\pi[/tex]r degrees/360

2pi (14) 208/360≈51

The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?

Answers

The answer is 25/6 pounds or 4 and 1/6 pounds.

What is the radius of the circle made by Ana’s sister in the green car? Use 3.14 for pi and round your answer to the nearest tenth. Show your work.

Answers

Answer:

[tex]r=20.1[/tex]

Step-by-step explanation

[tex]C=\pi d[/tex]

Green car circumfrence = 126 feet

Plug in numbers

[tex]126=3.14d[/tex]

Divide both sides by 3.14

[tex]\frac{126}{3.14} = 40.12...[/tex]

Divide diameter by 2 to find radius

[tex]\frac{40.1}{2} = 20.05[/tex]

round up to [tex]20.1[/tex]

Three vans can carry
18 adults. How many
adults are in 7 vans?

Answers

Answer:

42

Step-by-step explanation:

18/3= 6

6x7= 42

Answer:

42 with u need me to explain just say it in the comments :) hope this help

Step-by-step explanation:

Plzzzzzzzzzzzzzzzz help me I’ll mark you brainlist

Answers

Answer:

Ewan?1234567891011121314151617181920

Answer:

No clue at all. ?

Step-by-step explanation:

Tara has two bags of marbles. Bag 1 contains 6 red marbles, 5 blue marbles, and 4 green marbles. Bag 2 contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag. What is the probability that Tara will select a red marble from each bag?

Answers

Answer: 26 - 6

Step-by-step explanation: i think sorry if rong

Help I will give you 10 points please help

Answers

Answer:

Look Below

Step-by-step explanation:

1. A person would have to work 9 Hours to get 63$ for 7$ per hour.

2. Reese is 16 years old because if you do 34 - 18 = 16. Or you could do 16 + 18 = 34 to confirm it.

3. 10 - 4 = 6 Sean is 6 feet tall total because if you do a subtraction problem with the two variables you get 6.

4. I am not able to see the numbers on the right unfortunately so all you have to do for this one is to minus how much her brother has by 8 to get her amount.

Hope This Helps! Have A Good Day! Good Luck With Your Work!

write - 5R - 5U in polar form​

Answers

Answer:

(r,0)

Step-by-step explanation:

5r - 5u = 5(r - u)

Polar time coordinate = 0

So (r, 0)

Solve for x. Assume that lines which appear tangent are tangent.

Answers

Answer:

Step-by-step explanation:

4 in.
3 in.
2 in.
2 in.
6 in.
Find the surface area.
square inches
(Hint: The rectangular faces
are different sizes.)

Answers

Answer:

The correct answer is 5in

Step-by-step explanation:

6+4=10÷2=5in

Angle A corresponds to Angle
OB
Oc
ОЕ
OD
none of the above

Answers

Answer:

A corresponds to angle E

6×squared plus 15×plus 4×​

Answers

Answer:

56

Step-by-step explanation:

6^2 = 36

36 + 15 = 51

51 + 4 = 56

Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
Help please! make sure to remember you have to simplify! not solve!

Answers

x^2-7x-4x+28+6+3x-2x-x^2
=> -10x+34
This is the simplest form I can think of.

Please help ASP!!!! A= positive, B=Negative, C=Zero​

Answers

Answer:

B. Negative

Step-by-step explanation:

So first, we want to locate the variable.

y (x/y) = (y/1) (x/y)

           = (xy/y)

           = x

The y/y cancels out and now we know we need to find the sign of x. Because x is to the left of 0, it's negative. Anything to the left decreases and anything to the left of 0 is (-).

What is the volume of a cylinder, in cubic cm, with a height of 8cm and a base
diameter of 18cm? Round to the nearest tenths place.

Answers

It’s is 20cm I think
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