FERRIS WHEEL The Ferris wheel at an amusement park has a radius of 10.2 meters. A rider, who is sitting level with the center of the Ferris wheel, is 13.1 meters above the ground. At what height above the ground is the rider when the wheel rotates another 140°? Round to the nearest tenth if necessary.

Answers

Answer 1

Answer:

19.7 m

Step-by-step explanation:

Draw a circle to represent the ferris wheel with a 10.2 m radius. Draw a horizontal line through the circle center horizontal to the ground (at 13.1 m). Now draw a line from the center of the circle (ferris wheel) upward at 140 degrees until you reach the edge of the circle. Draw a line down from that point to the horizontal line at This is your right triangle to solve.

Hypotenuse is 10.2 m (radius of circle)

The angle of the triangle the supplementary angle of 140 degrees. 180-140=40 degrees

sin 40 degrees=rise /radius=rise/10.2

sin 40=0.6428=rise/10.2

rise=10.2(0.6428)

rise=6.6 m

13.1+6.6=19.7 m


Related Questions

i really need help please!!!

Answers

Answer:

5x-4y=0

Step-by-step explanation:

[tex]\frac{5-0}{4-0} =\frac{y-0}{x-0} \\ 5x-4y=0[/tex]

What is the solution of each equation?

2(h - 8) - h = h - 16

a

no solution

b

infinitely many solutions

c

8

d

-8

Answers

The correct answer is b

Middleton, Colorado, hosted a youth soccer tournament. Youth soccer fields vary in size per the age of the players. The field for the nine‐ and ten‐year‐old players was 75 yards long by 45 yards wide. The field for the 11‐14‐year‐old players was proportionally larger. If the length of the field for the 11‐14‐year‐old players was 100 yards, what was the width?

Answers

Answer:

The correct answer is 60!

Step-by-step explanation:

Remember, 3/4 is 0.75.

75/100 = 3/4

45/60= 3/4

The equation explains that 75/100 is a fraction that it equal to 3/4, which is 0.75 as a decimal. 60 is the digit that is the denominator to 45, getting 3/4, or 0.75 also. So the width of the 11-14 year-old soccer field is 60 yards.

The width when the length of the field for the 11‐14‐year‐old players was 100 yards should be considered as the 60.

Calculation of the width:

Since we know that 75 by 100 is three-fourth

And, 45 by 60 is also  three-fourth

Also, there is field for the nine‐ and ten‐year‐old players was 75 yards long by 45 yards wide.

So based on this, The width when the length of the field for the 11‐14‐year‐old players was 100 yards should be considered as the 60.

Learn more about width here: https://brainly.com/question/19461476

please help√√√:-) 1111

Answers

Answer: 1246 for the first and 1400 for the second

Step-by-step explanation:

Which equation represents the slope-intercept form of the line below?
y-intercept = (0,3)
slope = 4
O A. y = 3x + 4
O B. y = 3x - 4
O C. y = 4x-3
D. y = 4x + 3
help asap

Answers

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 3, then

y = 4x + 3 → D

Answer:

b

Step-by-step explanation:

1, 4/3,16/9
Find the 9th term.

Answers

Answer:

The 9th term of the sequence is:

[tex]a_9=\frac{65536}{6561}[/tex]

Step-by-step explanation:

Given the sequence

1, 4/3,16/9

computing the ratios of all the adjacent terms

[tex]\frac{\frac{4}{3}}{1}=\frac{4}{3},\:\quad \frac{\frac{16}{9}}{\frac{4}{3}}=\frac{4}{3}[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]r=\frac{4}{3}[/tex]

A geometric sequence has a constant ratio 'r' and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

As

[tex]a_1=1[/tex][tex]r=\frac{4}{3}[/tex]

so substituting [tex]a_1=1[/tex] and [tex]r=\frac{4}{3}[/tex] in the nth term of the equation

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]a_n=\left(\frac{4}{3}\right)^{n-1}[/tex]

Now, substitute n = 9 to determine the 9th term

[tex]a_9=\left(\frac{4}{3}\right)^{9-1}[/tex]

[tex]a_9=\left(\frac{4}{3}\right)^8[/tex]

[tex]a_9=\frac{4^8}{3^8}[/tex]

[tex]a_9=\frac{65536}{6561}[/tex]

Therefore, the 9th term of the sequence is:

[tex]a_9=\frac{65536}{6561}[/tex]

Need help ASAP
Thanks+ BRAINLIST only for correct answers

Answers

i am 90% sure it is answer b

I'm sure it's scatter plot b

Here is part of a train timetable - check picture. ​

Answers

1=13
2.1 hour 42 mins

Find the slope of the line y = 5/8x - 1/2

Answers

Answer:

slope = [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Slope-intercept form is the way in which an equation is written to easily identify the line's slope and y-intercept. It is represented by the equation y = mx + b, in which m represents the slope.

By looking at the equation, we can see that it takes the y = mx + b format - y is isolated - therefore it is in slope-intercept form. Remember that the number in place of the m would represent the slope - and in this case, that number is [tex]\frac{5}{8}[/tex].

Final Answer:

[tex]\sf{Slope = \dfrac{5}{8}}\\\sf{Y-intercept: -\dfrac{1}{2}}[/tex]

In-depth explanation:

The question is asking us to find the slope of the line, whose equation is;

[tex]\leadsto\quad\bf{y=\dfrac{5}{8}x-\dfrac{1}{2}}[/tex]

The format of this equation is: [tex]\boldsymbol{\sf{y=mx+b}}[/tex]. This is known as slope-intercept; it's the most common way of writing the equation of a line.

In y = mx + b, the variable "m" denotes the slope, or the rate of change, of a line; b denotes the y-intercept, or the point where the line intercepts the y-axis.

Also, the slope is the number before x, while b is the constant term.

Similarly, the slope is 5/8 and the y-intercept is -1/2.

[tex]\rule{350}{2}[/tex]

i need help with this. im confused.​

Answers

Ok you have to put 0000000000

rotate the triangle through 180 degrees about the origin?

Answers

Answer:

Step-by-step explanation:

Uh can you give us a more clear question?

Please answer the question in the picture

Answers

Answer: it soo blurry I did not see it

Step-by-step explanation:

10. How much interest will be earned in 4 years
from $2,450 placed in a savings account at 62 %
simple interest?

Answers

Answer:

$6100.80

Step-by-step explanation:

$6100.90 i think sorry if wrong

How do you graph g(x)=f(x)+5

Answers

Make a positive line going through (0, 5)

What is the answer ASAP please

Answers

Answer:

2,-1

Step-by-step explanation:

You read the X axis first then the Y axis

in Square W XYZ.PW = 7. w X What is the square's perimeter? • 282 units Р 49 units 098 units Z Y O • 1472 units 3 4 5 6 7 8​

Answers

Answer: Like I said it is either A or B

Answer[tex]Answer is A[/tex]: A      28/2

Step-by-step explanation: Took the test.

Amy sells tote bags at a craft fair for a day. She pays $50 to rent a booth. The materials and labor cost on each tote bag is $3.50. Her expenses for the day depend on how many tote bags she sells. Write a linear function rule and identify the initial value and rate of change.​

Answers

Answer:

Let x= number of totebags sold

Cost=C(x)=50+3.5x

find the distance between two points (-3,2) and (3,0)

Answers

Answer:

[tex]\sqrt{40}[/tex]

Step-by-step explanation:

If we draw a right triangle, it would have legs 6 and 2.

n the rectangle P Q R S , the side P Q is of length 2 and the side Q R is of length 4

Please i need the answer ASAP

Answers

here u go

In the rectangle PQRS , the side PQ is of length 2CM and the side QR is of length 4CM Points  T and  U  lie inside the rectangle so that Triangle PQT and TRIANGLE RSU are equilateral triangles.

PLS MARK ME AS BRAINLIST!!!!!

Identify the horizontal asymptote of each graph.
y = 0
y = 1
y = 6

Identify the horizontal asymptote of each graph.
y = 0
y = –3
y = –5

Answers

Answer:

y = 0 and y = -3

Step-by-step explanation:

The horizontal asymptote of each graph is:

1. y=0

2. y= -3

What is asymptote?

An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.

1.Given function:

 t(x)= [tex]6^{x}[/tex]

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0

Hence, the asymptote will by y=0.

2. Given function:

t(x)= [tex]5^{x}[/tex]-3

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3

Hence, the asymptote will by y=-3.

Learn more about asymptote here:

https://brainly.com/question/4608493

#SPJ2

Jim buys a skateboard for $200. The value of the skateboard depreciates by 15% each year
since buying it. Create a function to represent the value of the skateboard, f(2), in dollars,
after 3 years since buying it.

Answers

Answer: f(x)=200•(0.85)^x

Step-by-step explanation:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.

Hiiii Can someone please help me please
A, B, C, or D
F, G, H, or J
Ill give lots of points because there's two Please help me thank you BRAINLIEST ANSWER btw ❤️

Answers

Answer:

B, H

Step-by-step explanation:

The electrician charges 45 dollars per hour and 30 at the beginning. We are multiplying the hours, h, by 45 to get 45h. We add 30 to get C=45h+30

Jerome will always earn 75 dollars, but he also gets 10 percent commission, which is 0.10.

Answer:

B and H are the correct answers

What are the answers to these questions

Answers

F(-1)=2
F(2)=-1
F(3)=-3



The f(x) part is the input and the stuff after is the output

Ocean waves move in parallel lines toward the shore. The figure shows the path that a windsurfer takes
across several waves. For this exercise, think of the windsurfer's wake as a line. Ifm 21 = (5x + 5y)" and
m 22 = (5x + y)', find x andy.

Answers

Answer:

nopw

Step-by-step explanation:

What is the equation of the line with slope 3/5 through the point (20, 6)?

Answers

That would be y=3/5x-6. This is because 3/5 is the slope and -6 is where the line intercepts the y-axis

I get a 15% discount at Ann Taylor Loft. If I find a shirt I like for $20, how much will I have to pay for it?

Answers

The answer will be 17 dollar

How many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches, lengths 3 1/3 inches, and height 2 1/3 inches?

Answers

Answer:

560 cubes

Step-by-step explanation:

width: 8 cubes

length: 10 cubes

height: 7 cubes

volume: 8*10*7=560

divided l, w, and h by 1/3 to get them in cubes

Answer:

Step-by-step explanation:

The awnser is multiply by 9 then multiply by 2

*sits in a corner rocking back and forth*

Answers

Answer:

-12 is the answer.

Step-by-step explanation:

-12 - (-5) = -7

The two negative one right after another turns into a plus, or +.

-12 + 5 = -7

Think of 5 positive things and -12 negative things.

O O O O O

P  P  P  P  P  P  P  P  P  P  P  P

5 of the positive things will cancel out 5 of the negative things, leaving behind 7 negative things.

#teamtrees #WAP (Water And Plant)

A standard six-sided die is rolled. What is the probability of rolling a number greater than 5 ? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answers

Answer:

the probability is one in 6

Step-by-step explanation:

there are 6 sides on a basic die and so the only number higher than 5 is 6. you have a 1/6 chance.

Solve for b, y = 2x + b

Answers

Answer:

B = 2x/y - 1 is your answer

Step-by-step explanation:

Answer:

b= y-2x

Solve for b by simplifying both sides of the equation then isolating the variable.

Other Questions
How has Europe changed in the last 100 years? 8=2/5cHelp me Im single ready to mingle Please help its past due rn and I have no clue what the answer is!Based on the map, a Pennsylvania State Senate candidate who believes inexpanding social welfare programs and protecting the environment would bemost likely to succeed in which region? what is concord and the meaning of concord pre- Before Question 1 What word would I get if I added the base word "create" to the suffix -tion? (turning the verb into a noun) Siyoni, Adam and Ben share some money in the ratio 5:3:4 In total, Adam and Ben receive $84 Work out how much they cach get. (help me ill give brainliest!) ANSWER ASAP PLEASE!! CORRECT ANSWER WILL GET BRAINLIEST!Professor Duncan decided to use a curve to grade a recent test. The lowest score out of 100 was 35 and the highest score was 65. He used the function n(g)=1.2g+3, where n(g) is the curved test score and g is the original test score. Which is the range of the curved test scores?A. 35 to 65B. 42 to 78C. 45 to 81D. 46 to 82 An atom undergoes nuclear decay, but its atomic number is not changed.What type of nuclear decay did the atom undergo?A. Gamma decayB. Beta decayC. Nuclear fissionD. Alpha decay There are five 6-inch sticks and five 10-inch sticks. These sticks can be attached end-to-end to make longer sticks. For example, you can take two 6-inch sticks and one 10-inch stick to make a 22-inch stick (6 + 6 + 10 = 22).How many different lengths of stick can be made out of at least one of the sticks? ill give brainiest and 30 points Who was the 2nd woman to be elected to the United States Congress? Given the equation 2x + 4 = 4x - 2, select the reasoning that correctly solves for x.1) Add 2, subtract 2x, then divide by 2.2) Add 2, subtract 4x, then divide by -2.3) Subtract 4, subtract 2x, then divide by-2.04) Subtract 4, subtract 4x, then divide by 2. Find the value of x when 6 - 4x = 7X-9x - 4.The value of x is .. If humans change the function or equilibrium of one of Earth's systems, this will not changethe function or equilibrium of all of Earth's systems.TrueFalse What are the structures inside plant cells that contain chlorophyll called? Nucleus Ribosomes Chloroplasts Lysosomes Mitochondria James isas whatas his brother options tall,, taller, tall than, taller than Every month, $45 is withdrawn from tom's savings account to pay his gym membership. He has enough savings to withdraw no more than $360. For how many months can Tom pay for his gym membership? A Japanese bullet train recently maintained an average speed of 317.5 km/h for a trip that lasted 3h 15 min. a) Calculate the distance covered by the train on that trip.b) At the same speed, how long would it take the train to travel 1000 km? Daniel works for 3 hours one day he gets paid $6 an hour. Build a visual that represents the word problem The ability to pound metal into a flat sheet without breaking it is:A. LusterB. Malleability C. Ductile