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

An equation of the perpendicular bisector of the line segment with end points (3,0) and (-3,0) is
A) x = -3/2
B) x = 0
C) x = 3/2
D) X = 3
E) X = 6
Help please with steps

Answers

Answer:

[tex]x = 0[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,0)[/tex]

[tex](x_2,y_2) = (-3,0)[/tex]

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

[tex](x,y) = 0.5(x_1 + x_2, y_1 + y_2)[/tex]

[tex](x,y) = 0.5(3-3, 0+ 0)[/tex]

[tex](x,y) = 0.5(0, 0)[/tex]

Open bracket

[tex](x,y) = (0.5*0, 0.5*0)[/tex]

[tex](x,y) = (0, 0)[/tex]

Next, determine the slope of the given endpoints.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{0 - 0}{-3- 3}[/tex]

[tex]m = \frac{0}{-6}[/tex]

[tex]m = 0[/tex]

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

In this case:

[tex]m = m_1 = 0[/tex]

So:

[tex]m_2 = -\frac{1}{0}[/tex]

[tex]m_2 = unde\ fined[/tex]

Since the slope is [tex]unde\ fined[/tex], the equation is:

[tex]x = a[/tex]

Where:

[tex](x,y) = (a,b)[/tex]

Recall that:

[tex](x,y) = (0, 0)[/tex]

So:

[tex]a = 0[/tex]

Hence, the equation is:

[tex]x = 0[/tex]

can someone help me? please!!!

Answers

Answer:

Down below

Step-by-step explanation:

i'm gonna break it down into two parts.

Half-circle

[tex]A=\frac{1}{2}(\pi r^2) \\16/2=8=r\\A=\frac{1}{2}(3.14*8^2)\\A= \frac{1}{2}( 200.96)\\A=100.48[/tex]

Square

[tex]A=bh\\A=16*16\\A=256[/tex]

now to get it all we add them

[tex]A=100.48+256\\A=365.48[/tex]

You get your first job ever and they tell you that you will make $350.25 for 15 hours. How much money will you make working 40 hours?

Answers

I’m pretty sure the answer is $934

Exit
Use the table to answer the question.
Frank mows 1 lawn for $30. He made a table of values to show his earnings.


What error did Frank make in completing the table?
A. Frank multiplied 2 by 2 to get 4 and $60 by 2 to get $120.
B. Frank added $15 to $60 to get $75 instead of adding $30 to $60 to get $90.
C. Frank multiplied $15 by 5 to get $75 instead of multiplying $15 by 3 to get $45.
D. Frank incorrectly added to get the amount of money earned for mowing 4 lawns.

Answers

B because you have to add 30 to 60

Answer:

B

Step-by-step explanation:

4
Brad goes to bed at 21 25.
He is in bed until 0708 the next day.
Work out the length of time that Brad is in bed.​

Answers

Answer:

 

Step-by-step explanation:

who tryna play 2k or cod

Answers

Answer:

i'M DOWN IT'S CHADCW1234

Step-by-step explanation:

Answer:

o7ft65tu7lfl875t6u

Step-by-step explanation:


Write an expression using the Distributive
Property to find the product of 7 X 63.

Answers

Answer:

7(60+3)

Step-by-step explanation:

Distributive property is written: a(b+c)

7 x 63 = (7x60) + (7x3) = 7(60+3)

Answer:

7 x (60 + 3)

Step-by-step explanation:

Simplify this please for me 2x+x+3y*3y

Answers

3x + 9y^2 is the answer you’re looking for
the answer is 3x+9y^2

This question: 00:26 Level 4: Multiplying Mixed and Whole Numbers 16.7% Complete Q. One of your clients at Wills, Trusts & Estates Law, PLLC passes away. His estate is worth $72,000. He leaves half to charity, and to each of his four children. How much will each child receive? $ HINT + A Report Content Errors​

Answers

The question is stated in such a garbled, convoluted, ambiguous way that it's hard to go to an answer.

With a few reasonable assumptions, it looks to me like each son gets $9,000.

Please help with this math equation

Answers

joe paints for 6 hours and john paints for 18

everyday at 9:15 a.m. Jesse takes his dog for a walk for 30 minutes. he then takes the next 2 hours to work on his computer before he eats lunch. what time does he eat lunch?​

Answers

Answer:

Jesse eats lunch at 11:45 a.m.

Helpppppppppppppy pls

Answers

Answer:

Step-by-step explanation:

What is the area of the shaded region below in factored form?

Answers

Answer:

D) 4(x - 6)(x + 1)

Step-by-step explanation:

(2x - 5)(2x - 5) = 4x² - 20x + 25

7(7) = 49

4x² - 20x + 25 - 49

4x² - 20x - 24

4(x² - 5x - 6)

4(x - 6)(x + 1)

Write the following as an inequality. x is greater than 4 and less than or equal to 8 Use x only once in your inequality. pls hurry i will give brainlist​

Answers

Answer:

8>_x>4

>_ this is greater than equal to symbol eight is greater than or equal to x is greater than 4

Name the figure below in two different ways.

Answers

Answer:

LDM

MDL

Step-by-step explanation:

The names of a figure are gotten from the points on the figure. The names of the figure are LDM  and MDL.

There are three points on the given figure, and these points are: point L, point D and point M, where Point D is between L and M.

This means that, when naming the figure, alphabet D must be at the middle while alphabets M and L can be at either sides of D.

So, the possible names of the figure are: LDM  and MDL.

Read more about naming figures at:

https://brainly.com/question/1514423

Select the correct answer.
Which of these is a non-real complex number?
OA. 5/17 - 21/4
B.
9 + 375
2
OC. 2 - 0
OD. +
/
Dorot

Answers

Answer:

OD

Step-by-step explanation:

because it gives us error and there's no number

The correct option is (D) .

Which is a non-real complex number?Nonreal complex numbers include pure imaginary numbers and those with a and b values of zero, such as 7 + 2i.A non-real or imaginary number is the name given to the square root of a negative number. For instance, the numbers 1, 28, and 5 are all imaginary numbers.Complex numbers cannot be plotted on the actual number line because they contain imaginary numbers. On the complex number plane, which has a y axis (for the imaginary number) and an x axis (for the real number), they can, however, be measured starting from zero (for the imaginary number).

In all these options , they  are presenting real complex number .Real numbers can be positive or negative, and include the number zero. that is why we select option D .

Learn more about non-real complex number brainly.com/question/20813072

#SPJ2

PLEASE HELP I WILL MARK YOU BRAINIEST

Answers

x > 1/3
i’m not 100% sure but i hope it’ll help
Add 17 to both sides and you get:
3x > 1

How to show full work on this one topic is angles formed by 2 chords and secants

Answers

Answer:

m<STR=149 degree

Step-by-step explanation:

To find m<STR

m PQ=186 degree

mSR=112 degree

m<STR=1/2(m PQ+MSR)

m<STR=1/2(186 +112)

⇒1/2(298)

answer⇒149

hope it helps...

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer: 2

Hope this helped! :)

What’s the product of 2/8 and 3/5?

Answers

Answer:

6/40=3/20

Step-by-step explanation:

What is the slope of the line through (-1, 8) (3, -4)

Answers

Answer:

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Step-by-step explanation:

What is the slope of the line that passes through the
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Answers

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40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

you --> they

Step-by-step explanation:

The pronoun "you" is incorrect since it should be 'they'.

It has to be 'they' instead because it doesn't talk to the reader, it talks about the canditates.

The area of a triangle is 174 square inches. The base is 29 inches. What is the height in inches? Do not include units in your answer.

Answers

Answer:

Your answer would be 6

Step-by-step explanation:

Area=174

Base=29

174 divided by 29

Equals 6

6 times 29

Equals 174

So since 29 times 6 gave you 174 which is your area, your answer would be 6 since it is the missing height to your problem.

:)

Answer: 12

Step-by-step explanation:

We can use the formula for the area of a triangle, to help us find the height:

Area=12⋅b⋅h

Using the formula for area, we can solve for the height by plugging in the information we have about the area and the base:

174=12⋅29⋅h

Isolate h by multiplying both sides by 2 and dividing both sides by 29.

hh=2⋅17429=12

The height is 12 inches.

What is the formula for finding the area of a triangle, parallelogram and trapezoid?
If you answer, thank you! <3

Answers

Base x height/2 for triangle
Base x height for parallelogram
A=a+b/2 x h trapezoid

An electrical appliances shop owner estimates that his sales will increase by 5% every
month. The sales for the first month were 30.000. Find
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ii) the total sales for the first year.(477513.80)​

Answers

Minus them both to get your answer

The amount of paint needed to cover a wall is proportional to its area. The wall is rectangular and has an area of 4z^2+2z square meters. Factor this polynomial

Answers

Answer:

2z(2z+1)

Step-by-step explanation:

yup

50 points and brainliest!
Solve for x: 3a-b/x-b=1/x+1, if a≠b+1/3
(a picture will be provided as well)

Answers

Answer:

3a-b/(x-b)=1/(x+1)Doing criss cross multiplication

3a(x+1)-b(x+1)=x-b

3ax+3a-bx-b=x-b

3ax-bx-x=b-3a-b

x(3a-b-1)=-3a

x=3a/(3a-b-1)

38 POINTS FOR THIS

pls answer some of these questions or even all ty

Answers

Answer:

there are no questions

Step-by-step explanation:

but may i still please have a brainliest

if not then it is ok

write the questions in the comments

Answer:

What questions?

I don't see anything

help me ...........................

Answers

Answer:

They will be able to.

Step-by-step explanation:

You first want to make sure the first three families have enough to eat.

[tex]6\frac{1}{2} - 2\frac{7}{8} = 3\frac{5}{8}[/tex]

For further explanation look at the first image.

[tex]3\frac{5}{8} > 2\frac{7}{8}[/tex]

Just to make sure

[tex]3\frac{5}{8} - 2\frac{7}{8}=\frac{3}{4}[/tex]

For further explanation look at the second image.

The rest of the images show a model solution.

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