Mathematics College

6. Solve the problem. A carousel has a radius of 18 feet and takes 31

seconds to make one complete revolution. What is the linear speed of

the carousel at its outside edge? Express the answer in feet per second.

If necessary, round the answer to two decimal places.

Answers

Answer 1

Answer:

v = 3.64 ft/s

Step-by-step explanation:

Given that,

Radius of a carousel, r = 18 feet

It takes 31 seconds to complete revolution.

We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.

d = 2πr

d = 2π × 18 = 113.09 feet

Let v is the linear speed. It can be given by :

[tex]v=\dfrac{D}{t}\\\\v=\dfrac{113.09}{31}\\\\v=3.64\ ft/s[/tex]

So, the linear speed of the carousel is 3.64 ft/s.

Related Questions

PLEASE HELP ME!!!

A particle, initially 15m from the origin and travelling at –2 ms^-1, accelerates at a constant rate and ends up –20 m from the origin and travelling at –5 ms^-1. What
is its acceleration?

Answers

is: v² = v₀² + 2ax.

Solve for a: a = (v² - v₀²)/(2x).
You are given v₀ and v, and x is easy to calculate since you are given its initial and final values. The rest is just arithmetic.

b) What is the value of 3V125 ?

Answers

Answer: 5

Explanation:

Cube root (125) = Cube root(5^3) = 5

Answer: 5

Step-by-step explanation: 5 x 5 x 5 = 125 and since your finding the cubed root of 125, there are supposed to be 3 numbers you multiply that are the same. This is why the answer is 5. Plus, Roots are the inverse operation of exponents.

A centroid of a triangle is always inside the triangle because the
passes through a vertex and the side opposite.
A. median
B. angle bisector
C. altitude
D. perpendicular bisector

Answers

The answer is B. Hope this helps!

Please help! i’ve been stuck on this for over 10 minutes.

Answers

Pick two points in the graph
(-2,0) and (3,4)
Slope: (y2-y1)/(x2-x1)
(4-0)/(3+2)
Slope is 4/5

Timmy flies out to Vail. After day one he has a bank account balance of -$2.50. If his debt
increases by $2.50 each day and he spends 5 days out in Vail what is his bank account
balance?

Answers

Answer:

$-12.50

Step-by-step explanation:

Take -2.50 and multiply it by 5 to get the answer.

The model shows the expression 21 + 9.
Which expression is equivalent to this sum?
3(7+3)
307) + 3
0 3+7+3
703 + 3)

Answers

Answer:

a

Step-by-step explanation:

In a TV contest show, Abraham has 1600 points. To determine his final score in the game, Thomas
will spin the spinner shown below, and multiply his current number of points by the fraction the
spinner landson.
10
3
10
10
10
3
Which statement correctly describes the effect of multiplying his current score by the fractions shown on
the spinner?

Answers

Answer: It makes it smaller, but I don’t know what the fractions are

Step-by-step explanation:

Have a happy thanksgiving!

Answer:

Step-by-step explanation:

What are the fractions on the spinner? What are the statements?

There are 1,496 souvenir paperweights that need to be packed in boxes. Each box will hold 16 paperweights. How many boxes will be needed?

Answers

Answer:

Step-by-step explanation:

what you need to do is 1496 divided by 16 because you have 1496 and 16 go into each box so u divide

HELP!!
Graph the following direct proportions: y=-2.5x
If possible please explain how to do this so I won’t have to ask future questions :)

Answers

since the equation doesn’t have a constant term following the slope then it goes through the origin (0,0)

so start from the origin and go down 2.5 and over to the right 1 and keep repeating that pattern

then to make the left end of the line, go 2.5 up and 1 left

this will result in a line going downwards at a slope of 2.5 (aka making a y = -2.5x line)

3/5x - 2/3y = 5 in standard form

Answers

Answer:

9x - 10y =75

Step-by-step explanation:

y = 9/10x - 15/2y

that should be standard form

I need help please and thanks ​

Answers

Answer:

1.) 3  

2.) 11

3.)17

Step-by-step explanation:

you would want to add them up then multiply

Answer:

M<1=55

M<2=55

M<3= 70

Step-by-step explanation:

Angle 1 and 2 are equal

could someone help? picture Is included. "Even More Situations, Diagrams, and Equations"

Answers

Answer:

story 1- B  and story 2-Ax and y is the amount of flyers she gave to each volunteer.  3x+12=90   3y+36=90x= 26   y=18

3x+12=90

3x+12-12=90-12

3x=78

3x/3=78/3

x=26

3y+36=90

3y+36-36=90-36

3y=54

3y/3=54/3

y=18

I hope this is good enough:

A saleswoman is paid $10 per hour and $6 for each sale she makes. She wants to earn
more than $150 in an 8-hour work period.

What inequality that represents the number of sales, x, the saleswoman must make in an 8-hour
period to earn more than $150.
O A 80 + 62 > 150
OB. 80 + 62 > 150
o C 80+ 6 > 150
D. 802 + 6 > 150
Activity 2 of 2
What is the least number of sales she must make to reach her sales goal? Show your work or
explain your answer.

Answers

Answer: It's, 80+6>150

Step-by-step explanation:

Answer:

80+6x>150

The least amount of sales are 12

Step-by-step explanation:

Luke Bryant is a train conductor. He earns $36/hour and time and a half for overtime. Last week he worked 37 hours plus 8 hours of overtime. Solve for a. straight-time pay, b. over-time pay, and c. total pay ?

Answers

Answer:

Step-by-step explanation:

a Calculate Remas wage in a week where she works 37 hours. ... To calculate the hourly rate earned when working overtime we multiply the normal hourly rate by ... overtime factor, which is 1 2 for time and a half and 2 for double time. ... 3 Gareth works as a train driver and is normally paid $11.48 per hour.

how many fifths are in 4 4/10​

Answers

Answer:

2 fifths

Step-by-step explanation:

hope this helps

Answer:

22

Step-by-step explanation:

4 4/10 = 44/10 = 22/5 = 4 2/5

4 2/5

What is angle MNT? Help

Answers

Answer: acute

Step-by-step explanation: it is less than 90 degrees so it is less the right angle

120 degrees.

Angle MNT is equal to its opposite angle, (I cant tell you the angle as one of the points is not showing, it uses T and Q)

Remember, all triangles have angles that when added together, equal 180 degrees.

So, add 35 and 25, which is 60.

Now subtract 60 from 180, 120.

Have a great day!

A number n is no less than -3. what is the inequality

Answers

Answer:

n ≥ -3

Step-by-step explanation:

If n can be no less than -3... then we know that n has to be bigger than or equal to -3.

This could also be said as greater than or equal to -3

Conveniently enough... there is a sign for greater than or equal to and it is ≥

*20 POINTS*

A coffee table is shaped like a square and has an area of 22 square feet. Find the length of the side of the table to the nearest tenth of a foot.

Answers

Answer:

4.69 feet

Step-by-step explanation:

If the table is a square, all the sides are equal and the area is the length of one side squared.  A=l^2

The length must then be the square root of the area. The square root of 22 square feet is 4.6904 feet. Rounded to the nearest tenth, that is 4.69 feet.

edhesive 4.5 Code Practice

Answers

Question: Write a loop that inputs words until the user enters STOP.

Answer:

count = 0

word = input("User Input: ")

while word!="STOP":

    count = count+1

    print("You entered: "+str(word))

    word = input("User Input: ")

print("All done. "+str(count)+" words entered")

Step-by-step explanation:

This line initializes counter variable count to 0

count = 0

This line prompts user for input

word = input("User Input: ")

The following iteration is executed until user enters STOP

while word!="STOP":

This increments counter variable by 1

    count = count+1

This prints the word entered by the user

    print("You entered: "+str(word))

This line prompts user for another input

    word = input("User Input: ")

This prints the number of input by the user

print("All done. "+str(count)+" words entered")

Answer:

c = 0

word = input("Enter a word: ")

while word!="STOP":

  c = c+1

  print("#" + str(c) + ": You entered "+str(word))

  word = input("Please enter the next word: ")

print("All done. "+str(c)+" words entered.")

10 less than the product
Of 7 and a number is 25

Answers

Answer:

165

Step-by-step explanation:

7*25-10

175-10

165

OMG My teacher posted this stupid assignment and I CANT find WALDO!!! HELP!!!
(also she is my math teacher for those wondering why this was posted in math)

Answers

Answer:

hes at the top left corner with the bootsss

Step-by-step explanation:

can someone please give me a hand with this ? ​

Answers

Answer:

C.) A' (-5,3), B' (-1,3), C' (4,-3)

Step-by-step explanation:

Translation rule: (x, y + 2)

A (-5,-5) -> A' (-5, -5 + 2) -> A' (-5, -3)

B (-1,1) -> B' (-1, 1 + 2) -> B' (-1, 3)

C (4,-5) -> C' (4, -5 + 2) -> C' (4, -3)

Two rectangles with perimeters that are proportional if the area is proportional

Answers

Answer: I'm so sorry, but I'm not sure what you are asking.

I just read your comment, thank you for clarifying, I just was expecting a question, so I didn't really get it. Yeah you are right.

Answer:

Yep

Step-by-step explanation:

Just do that and this then u got it u got to figure out life lol

It said that it was wrong.

Answers

answer: what was wrong?
what was wrong? does this have a picture or what,?

I'm answering any 5th grade and below questions​

Answers

Answer:

In at least one hundred words, describe how what Markandaya reveals about Kenny helps to shape his character, and which themes in Nectar in a Sieve are developed with this information.

Step-by-step explanation:

In ΔRST, t = 4.1 inches, r = 7.1 inches and ∠S=45°. Find the length of s, to the nearest 10th of an inch.

Answers

Answer:

The length of s is 5.1 inches to the nearest tenth of an inch

Step-by-step explanation:

In Δ RST

∵ t is the opposite side to ∠T

∵ r is the opposite side to ∠R

∵ s is the opposite side to ∠S

→ To find s let us use the cosine rule

∴ s² = t² + r² - 2 × t × r × cos∠S

∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°

→ Substitute them in the rule above

∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)

∴ s² = 16.81 + 50.41 - 41.1677568

∴ s² = 26.0522432

→ Take √ for both sides

∴ s = 5.10413981

→ Round it to the nearest tenth

∴ s = 5.1 inches

∴ The length of s is 5.1 inches to the nearest tenth of an inch

Answer:

5.1

Step-by-step explanation:

delta math

PLEASE HELP ME! THANK YOU!

Answers

Answer:

i suppose it is on the 1, so it is (-1, inf) (-inf, 1)

what is sigma notation of 3 + 7 + 11 + 15 + 19​

Answers

Answer:

Step-by-step explanation:

Given

sigma notation of 3 + 7 + 11 + 15 + 19​

Solution

Sigma notation=

Sigma

4. (08.01, 08.02, 08.03 HC)
Create a factorable polynomial with a GCF of 5z. Rewrite that polynomial in two other equivalent forms. Explain how each form was created. (10 points)

Answers

Answer:

Here GCF is 5z

all terms are divisible by 5z. so greatest common factor is 5z

One form of polynomial is

We factor the polynomial further

Other form of polynomial is

 and  are the two forms of polynomial

First form   is created by taking out GCF 5z

SEcond form   is created by factoring x^2 + 5x + 6

Step-by-step explanation:

Here GCF is 5z
all terms are divisible by 5z. so greatest common factor is 5z

One form of polynomial is
We factor the polynomial further
Other form of polynomial is
and are the two forms of polynomial
First form is created by taking out GCF 5z
SEcond form is created by factoring x^2 + 5x + 6

combine like terms: 80 + 50m + 65 + 40m​

Answers

Answer:

90m+145

Step-by-step explanation:

80 + 50m + 65 + 40m​

90m+145

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