A Ferris wheel has a radius of 15 feet and its center is 40 from the ground. It takes 60 seconds
to make one complete revolution. What will the rider's height be at 20 seconds?

Show step by step please

Answers

Answer 1

4:43 or a quarter to 5

So there is 20 meters radius

If it takes 7 minutes to make a complete circle.

51.42857143 degrees a minute

t=0

Exactly 20 feet above the ground.

t = 7/4

40 feet above the ground

7/4 * 360/7 = 360/4 = 90 degrees

t = 14/4

9 o'clock position which is exactly 20 feet above the ground

t = 0. when t = 14/4, you are at exactly 14/4 * 360/7 = 180 degrees.

t = 21/4

Being 270 degrees

t = 28/4, you are back at the 3 o'clock position

28/4 equals 7 minutes because 7*4 = 28.

9 o'clock and 3 o'clock position

12 o'clock and 6 o'clock position

360/7 * t which is in minutes

20 plus the radius of the ferris wheel * the sin of the angle.

h = f(t) = 20 * (1 + sin(x)) where

x = 360/7 * t

t = minutes

h = the height you will be at.

when t = 0 which is 0 minutes, then:

x = 360/7 * t = 360/7 * 0 = 0 degrees

h = f(t) = 20 * (1 + sin(x)) becomes:

 

h = f(0) = 20 * (1 + sin(0))

since sin(0) = 0, this becomes:

h = f(t) = 20 * (1 + 0) = 20 * 1 = 20

you are 20 feet above the ground and you are at the 3 o'clock position

t = 7/4 which is 1.75 minutes

x = 360/7 * t = 360/7 * 7/4 = 360/4 = 90 degrees

h = f(t) = 20 * (1 + sin(t)) becomes

h = f(7/4) = 20 * (1 + sin(90))

since sin(90) = 1, this becomes:

h = f(7/4) = 20 * (1 + 1) = 20 * 2 = 40

you are 40 feet above the ground and you are at the 12 o'clock position

t = 14/4 which is 3.5 minutes, then:

x = 360/7 * t = 360/7 * 14/4 = 360*2/4 = 720/4 = 180 degrees

h = f(t) = 20 * (1 + sin(t)) becomes

h = f(14/4) = 20 * (1 + sin(180))

since sin(180) = 0, this becomes:

h = f(14/4) = 20 * (1 + 0) = 20 * 1 = 20

you are 20 feet above the ground and you are at the 9 o'clock position

when t = 21/4 which is 5.25 minutes, then:

x = 360/7 * t = 360/7 * 21/4 = 360*3/4 = 1080/4 = 270 degrees

h = f(t) = 20 * (1 + sin(t)) becomes

h = f(21/4) = 20 * (1 + sin(270))

since sin(270) = -1, this becomes:

h = f(14/4) = 20 * (1 - 1) = 20 * 0 = 0

you are 0 feet above the ground and you are at the 6 o'clock position of the ferris wheel which is at the bottom at ground level.

when t = 6 minutes, then:

x = 360/7 * 6 = 2160/7 = 308.5714286 degrees

h = f(t) = 20 * (1 + sin(t)) becomes

h = f(6) = 20 * (1 + sin(308.5714286))

since sin(308.5714286) = -.781831482, this becomes:

h = f(6) = 20 * (1 - .781831482) = 20 * .218168518 = 4.36337351

you are 4.36337351 feet above the ground and you are somewhere between the 4 o'clock and 5 o'clock position on the ferris wheel, much closer to the 5 o'clock position than the 4 o'clock position.

This would be roughly 4:43 or a quarter to 5. we are talking about the hour hand position.


Related Questions

Debra and her study partner flipped a coin 90 times. they flipped 40 heads and 50 tails. What is the experimental probability that the next flip will be heads upl

Answers

Answer:

1/2

Step-by-step explanation:

If you have two possible outcomes then the chance you will get heads is 1/2.

Have a wonderful day! :)

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per hour. The eastbound train travels at 105 miles per hour. How long will it take for the two trains to be 440 miles apart?

Do not do any rounding.

[] hours

Answers

Answer:

2.2 hr

Step-by-step explanation:

Let t = time

95t = distance of westbound train

105t = distance of eastbound train

95t + 105t = 440

200t = 440

t = 2.2 hr.

I will mark you brainlist!

At a movie theater 4 out of the first 10 customers bought popcorn. Based on this information, if 180 people go to the movie theater, how many would be expected to buy popcorn?

Answers

Answer:

72 people.

Step-by-step explanation:

4 out of 10 is 40%. Now apply that to 180. 40% of 180 is 72. Hope this helps.

45 Points HELP RIGHT NOW!!!! Due in 2 hours!!!!! NO websites are allowed and please give me the order like this I need the steps too!!! I will mark you brainless too don’t answer for points or your reported
1 (table)
2(dog walker)
3(Ms Scholl)

Answers

Kayaker=12.5, so 12 knots

Commercials=9 commercials per hour

Dog= 7 miles

Tutoring=750 dollars

Help me find the slope and y-axis intersect of this problem.

Answers

Answer:

Y- intercept is 0,3

Slope is 3/2

Step-by-step explanation:

find the product for 56.44

Answers

Step-by-step explanation:

55.44=2464

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HELP ASAP!
Find the surface area of the figure. Round to the nearest hundredth if necessary ^

Answers

Answer:

1187.52 yd^2

Step-by-step explanation:

SA=2πrh+2πr^2

R=9

H=12

So, 2(3.14)(9)(12)+2(3.14)(9)(9)=1187.57yd^2

Given the circle O with the diameter AB. Find x in degrees.
A) 40 degrees
B) 60 degrees
C) 80 degrees
D) 120 degrees

Answers

Answer:

B) 60 degrees

Step-by-step explanation:

. If you know the circumference of the circle, divide it by π to get the diameter.

eight less than five times a number is greater than 6

Answers

Answer:

8 - 5x > 6

Step-by-step explanation:

Answer is in the problem:

eight = 8

less than = minus ( - )

five times a number = 5x (dont know the number so we put down "x")

is greater than 6 = > 6

does that make sense?

5x - 8 > 6is how you write it.But here is how you solve it:1. Add 8 to both sides5x - 8 + 8 > 6 + 8it simplifies to5x > 142. Divide both sides by 55x ÷ 5 > 14 ÷ 5it simplifies tox > 2.8X > 2.8

A regulation baseball has a diameter of about 3 in.

What is the best approximation for the volume of this baseball?

I WILL GIVE YOU BRAINLIEST!!!!!!!!!!!!!!!!!!


14.13 in³

28.26 in³

84.78 in³

113.04 in³

Answers

ANSWER: I think that the answer is 28.26

Step-by-step explanation:

I did this a while ago. I hope that I helped<3

Please help me Sally hiked 6 tenths of a 3.6 mile trail. How many miles did Sally have left to hike?

Answers

Answer:Sally hiked 2.16 miles

Step-by-step explanation:

Sally hiked 6 tenths of a 3.6 mile trail.

6 tenths means 6/10

Therefore, Sally hiked   6/10 x 3.6 mile= 2.16 miles

Is this unbiased or biased?

The Bernal leadership class is going to sell spirit t-shirts for students and needs to order a color that most students would like to wear, so they ask every fourth student entering the school about their favorite t-shirt color to make a decision about all Bernal students.

Answers

Biased, because some students may not like that color, and thus going off of the most popular opinion is only supporting the most popular color. Adding onto that, not every student even gets to vote since it is only every 4th student.

biased im jus typing random things now because it says i need 20 characters lol


[tex] \frac{15}{100} \times 115[/tex]

Answers

Answer:

3/5

Step-by-step explanation:

Use the calculator to see how much you can save. Let's say you start with $2,000, save $100 a month for 10 years, and the account has a 2.5% interest rate. Based off of that calculation, how much interest would you earn?

Answers

Answer:

2500

so first you have to 100x 10 then times 2.5

Step-by-step explanation:

Ryan and Sheila are preparing to get married. Sheila has a car payment of $297.00 per month, which is 9% of her monthly income. After they are married, Sheila knows that her car payment will only be 5% of their combined monthly income. How much money does Ryan make per month?

Answers

Answer:

$2640

Step-by-step explanation:

Sheila's car payment is 9% of her total income.

let i = total income

this equation can be used to represent the information :

9%  x i = $297

to determine i, divide both sides of the equation by 9%

$297 / 0.09 = $3300

After the marriage, the car payment which is 3300 would be 5% of the combined income.

let c = combined income

5% x c = $297

c = $297 / 0.05 = $5940

Ryan's income = combined income - Sheila's income

$5940 - $3300 = $2640

which expression is equivalent to ? Assume .

Answers

Answer:

A)

Step-by-step explanation:

f(x) = x°-9x
g(x) = x2 - 2x-3
Which of the following expressions is equivalent to f(x)/g(x), for x > 3

Answers

F(x)=x^3-9x
and
g(x)=x^2-2x-3

so you just need to divide f(x) by g(x)

Therefore:

f(x)/g(x) = (x^3-9x) / (x^2-2x-3)

and of course you need to factor these two function to see if some factor would cancel another

x^3-9x = x(x^2-9)=x(x-3)(x+3)
and
x^2-2x-3 = (x-3)(x+1)





Write a set of parametric equations for the equation x = 3y - 2 given that t= x + 3​

Answers

Answer:

i hope you meant "y" instead of "t" because that would make so much more sense. all you have to do with this is replace "y" in the equation with "x + 3" (this makes the equation x = 3[x + 3] - 2). now, you multiply and combine the like-terms (making x = 3x + 7). you now continue by subtracting 3x from both sides of the equation to make -2x = 7 and dividing to make x = -3.5

Step-by-step explanation:

x = 3(x + 3) - 2

x = 3x + 9 - 2

x = 3x + 7

-2x = 7

x = -3.5

A circular pool has a radius of 3.2 meters. which is closest to the area of the pool

Answers

Answer:

32.17

Step-by-step explanation:

[tex]A= \pi[/tex] × [tex]r^{2}[/tex]

A= [tex]\pi[/tex] × [tex]3.2^{2}[/tex] ≈ [tex]32.16991[/tex]

A= [tex]32.17[/tex]

3x + 2y = 9
y = 4x – 1
(solve algebraically)​

Answers

3x+2y=9
3x+2(4x-1)=9
11x-2=9
+2 +2
11x=11
X=1

Y=4x-1
Y=4(1)-1
Y=3


A recipe for lemonade calls for 4
cups of sugar for every 24 cups of cold
water. If you only have 2 cups of sugar,
how much water should you use?

Answers

24/4 = 6

6 • 2 = 12

12 cups of water
The answer is 12 cups of water

EXPLANATION PLEASE AND ILL BRAINLIEST YOU

Answers

Answer:

blank 1: 24

Step-by-step explanation:

According to Pythagoras' Theorem, in a right-angled triangle,

(side 1)² +(side 2)²= (hypotenuse)²

Applying Pythagoras' Theorem,

x² +18²= 30²

x² +324= 900

x²= 900 -324 (-324 on both sides)

x²= 576

[tex]x = \sqrt{576} [/tex]

x= 24 ft

Work out the lengths of side a and side b 8cm and 5 cm 1 triangle 17cm and 12 cm on the other triangle pythagoras

Answers

Answer:

a = 9.4 cm

b = 12.0 cm

Step-by-step explanation:

Check the image uploaded for diagram;

For the first diagram, side length a is calculated as follows;

a² = 8²  +  5²

a² = 64  +  25

a² = 89

a = √89

a = 9.4 cm ( approximated to 1 decimal place)

For the second diagram, side length b is calculated as follows;

b² = 17²  -  12²

b² = 145

b = √145

b = 12.0 cm (approximated to 1 decimal place)

The age of 10 factory workers is shown in the table. If a 58 year-old worker is added, by how much will this increase the median age of the workers?

Answers

Answer: 3 years

Step-by-step explanation:

usa test prep

I bought 5 crates of apples. Each crate contains 10 apples. I want to display the apples on 5 shelves. How many apples will be on each shelf?

Answers

Answer:

10

Step-by-step explanation:

I bought 5 crates of apples

Each crate contains 10 apples

I want to exhibit the appleonin 5 shelves

Therefore the apples on each shelve can be calculated as follows

Total apples= 50

= 50/5

= 10

Hence there would be 10 apples on each shelf

Choose the expression that shows the difference between x and y.

Answers

Answer:

the difference between x and y is x-y.

Step-by-step explanation:

PLEASE HELP URGENT!!!!!!!!! 27 and 28

Answers

Answer:

27) 4.2

28) D

Step-by-step explanation:

Answer:

27. A 4.2ft

28. D

Step-by-step explanation:

27. Since this is a right triangle, we can use a^2 + b^2 = c^2

3.1^2 + b^2 = 5.2

b = sqrt(5.2^2 - 3.1^2)

b = 4.2ft A

28. sqrt(10^2 + 50^2) does not equat 54, this is not a right triangle.

have x 50 notes and y N100 notes. There
are eight notes altogether and their total
value is N550. How many of each note do
I have​

Answers

Answer:

hi

Step-by-step explanation:

hi

You need to use simultaneous equations to solve this problem since there are 2 variables.

1. 50x + 100y = 550 (value of the notes x the number of each note)

2. x + y = 8 (the number of each note added).

3. Multiply the second equation by 50 so that it the x variables are the same in both equations. Thus, 50x + 50y = 400.

4. Subtract 50x + 50y = 400 from 50x + 100y = 550.

5. The subtraction results in 50y = 150.

6. Divide by 50. y = 3, so x must equal 5.

hello please help i’ll give brainliest

Answers

it should be the third option

What’s the answer to this?

Answers

Answer:

2

Step-by-step explanation:

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