On a ferris wheel, Sarah observes that it takes 45 seconds for her chair to complete a full revolution. Her chair is 30 feet from the axle of the ferris wheel.
To the nearest hundreth, Sarah's angular velocity is _____ radians per minute.

Answers

Answer 1

Answer:

The angular velocity is 8.38 radians per minute

Step-by-step explanation:

From the question,

It takes 45 seconds to complete a full revolution,

That is, 1rev/45secs

First, we will convert this to revolutions per minute (rev/min)

1rev/45secs = [tex]\frac{1 revolutions}{45 seconds} \times \frac{60seconds}{1minute}[/tex]

= 4/3 rev/min

Now, we will convert this to radians per minute (rad/min)

1 revolutions = 2π rad

4/3 rev/min = [tex]\frac{\frac{4}{3} rev}{min} \times \frac{2\pi rad}{1 rev}[/tex]

= 8.38 rad/min

Hence, the angular velocity is 8.38 radians per minute


Related Questions

How many feet are in 120 inches?
Enter your answer in the box.
ft

Answers

10 feet are in 120 inches

The required converted value is 10 feet, which is 120 inches into feet.

As we know that unit conversion is the process of converting a quantity from one unit of measurement to another. It refers to multiplying the given quantity by a conversion factor that blends the two proportional units.

To convert inches to feet, we use the conversion factor:

1 foot (ft) = 12 inches (in)

Therefore, to convert 120 inches to feet, we divide by the conversion factor:

120 inches / 12 in/ft = 10 feet

So, there are 10 feet in 120 inches.

Learn more about the unit conversion here:

brainly.com/question/3810064

#SPJ6

3x + 8
What is it please

Answers

Answer:

11x

Step-by-step explanation:

Add the 3 and 8 togeter, you will get 11 then the x at the and of you're solution.

A softball pitcher makes 48 pitches in the first 3 innings of a game. She will be pitching four more innings, at the most. The team's pitching coach
allows her to throw a maximum of 100 pitches per game. Write and solve an inequality to find the average number of pitches p she can make in
each of the next four innings
O A. 48 + < 100; p < 208
OB. 48 + 4p < 100; p < 13
O C. 48 + 100; p > 208
O D. 48 + 4p > 100; p > 13

Answers

Answer:

b

Step-by-step explanation:

ASAP! 15 POINTS




What is the end behavior of the graph?

Answers

Answer:

Your data decreased, because the end of the arrow points down, to show negative.

Hope this helps!

Can someone help me plz

Answers

Answer:

make it so that the top side is 40 and make the sides 35

Step-by-step explanation:

Top sides 40 other sides 35 :)

PLEASE HELP ILL GIVE BRAINLIEST IGNORE THE 6POINTS THATS JUST HOW MUCH ITS WORTH IN THE GRADEBOOK!!

Answers

Answer:

116°

Step-by-step explanation:

You just add angle FUV and angle TUF together bc they make up the angle TUV

Answer:

116

I'm not gonna explain it but yeah it's 116

What is the value of the expression below when w=3? 5w2 -5w-8

Answers

Expressions are mathematical statements without the equal sign

The value of 5w^2 - 5w - 8 when x = 3 is 22

How to determine the value of the expression

The expression is given as:

5w^2 - 5w - 8

When the value of w is 3, the expression becomes

[tex]5w^2 - 5w - 8 = 5*3^2 - 5*3 - 8[/tex]

Evaluate the exponents

[tex]5w^2 - 5w - 8 = 5*9 - 5*3 - 8[/tex]

Evaluate the products

[tex]5w^2 - 5w - 8 = 45- 15 - 8[/tex]

Evaluate the differences

[tex]5w^2 - 5w - 8 = 22[/tex]

Hence, the value of 5w^2 - 5w - 8 when x = 3 is 22

Read more about expressions at:

https://brainly.com/question/723406

When you multiply a number by 1/4

, the result is
A) 50% of the original number.
B) 400% of the original number.
C) four times the original number.
D) one-fourth the original number.

Answers

Answer:

The answer is D

Step-by-step explanation:

D . like quarters. if you have 4 that equals 1 dollar which is 100, so if you only have 1 quarter you only have 1/4 of the money.

The normal balance of an expense is a credit.
T or F?

Answers

Answer:

False

Step-by-step explanation:

Normal balance of expense is not a credit.

The math club is selling gift wrap for a fumdraiser. They sold all 45 rolls of solid wrapping paper at $4 each and rolls of patterned wrapping paper at $5 each. If they made $265 how many rolls of patterned wrapping paper did they sell

Answers

Answer:

17 rolls

Step-by-step explanation:

4 x 45 = 180  

265-180 = 85      

85 ÷ 5 = 17  

hope this helps ;)

17 rolls of pattern rapping paper

The value of 7 in 17.92 is times as much value of 7 in 92.17

Answers

100
.. . . . . . . . .

What is this question 23474+ 4749

Answers

Answer:

The answer to this is 23474 + 4749 = 28223

Step-by-step explanation:

Hope this helps :)

Answer:

Sum:: 28223

Step-by-step explanation:

If your referring to write it in question form::

What is the sum of 23,474 plus 4,749 ?

Rico buys a rectangular rug to put on his living room floor. The rug is 8feet long and 6 feet wide. What is the area of the floor that the rug will cover?

Answers

Answer:

48 square feet

Step-by-step explanation:

A = length x width. (A =lw)

So, 8 x 6 = 48

the distribution of the diameters of douglas fir trees in a plot of national forest land is approximately normal with a standard deviation of 1.6 inches. how does the diameter of a douglas fir tree in the 28th percentile compared with the mean diameter

Answers

Answer:

1.0

Step-by-step explanation:

this is a aplication of the terms

urgent please help !!!!!

Answers

If all 3 angles of a Triangle MUST equal 180°, then we know that we use the equation (for this triangle) to find the angle measurements as (180-90)/2 which means we are dividing 90/2 which is 45° for each angle. But these angles are different measures, so we have to guess upon this and say that YOUR ANSWER IS D

help asap please 25 points​

Answers

Answer:

a is 75.00 b is 12 meters above c is credit of 23.00

Step-by-step explanation:

What is the equivalent form of (x-2)2 -5x +3?

Answers

Answer: -3x-1

Step-by-step explanation: 2x-4-5x+3 collect the terms

                                            -3x-4+3

                                        answer -3x-1

You are buying tickets to a school event. You may purchase at most 8 tickets to receive a discount. Write an inequality to express the number of tickets you can buy with a discount.

Answers

8 is greater than or equal to x
(where x = the number of tickets)

or x is less than or equal to 8

Use the substitution method to solve the system of equations. Choose the correct ordered pair 2x+y= 10
y=x-5
(a) (5,0)
(b) (7,2)
(c) (9,-8)
(d) (8,-6)​

Answers

Answer:

a (5,0)

Step-by-step explanation:

2x + y = 10 substitute y= x - 5 into that first equation

2x+(x-5)=10

2x+x-5=10

3x - 5 = 10

3x = 10 + 5

3x = 15

[tex] \frac{3x}{3} = \frac{15}{3} [/tex]

x=5

substitute the x into either the first or second equation

2(5) +y=10

10 + y = 10

y= 10 - 10

y = 0

therefore

x = 5 and y= 0

A manufacturer of household washing machines wants to determine the effectiveness of the type of detergent used (three brands – A, B, and C) and the length of time for the washing cycle (18, 20, and 22 minutes). The manufacturer prepared 18 standard household laundry loads (having equal amounts of dirt and the same total weight) to conduct the study. The manufacturer randomly assigned two loads to each type of detergent, time combination. The researcher recorded the amount of dirt removed. Use a 5% significance level, for all hypothesis tests and confidence intervals. What is the alternative hypothesis for testing the interaction?

Answers

Answer:

Two-Factor ANOVA with replication

Step-by-step explanation:

Types of detergent used ( A,B,C ) = 3

Length of time for the washing cycle : A = 18 mins, B = 20 mins, C = 22 mins

number of laundry loads = 18

significance level = 5%

The alternative hypothesis for testing the interaction is a Two-Factor ANOVA with replication this is because the factors that have variations are the : The type of detergent and the length of time for a washing cycle while the load is constant for all.

There are 14 red marbles and 20 blue marbles in a bag of marbles.
A.
What is the ratio of red to blue marbles in simplest form?



Lemon pepper steppas

Answers

Answer:

7:10

Step-by-step explanation:

14/20= 7/10

Answer: 7:10 because it is what it is.

Which is bigger 1.30 or 1.3

Answers

Answer:

They are both exactly the same

Step-by-step explanation:

1.30000000000000000000000

is the same as

1.3

the 0s dont matter unless they are not at the end

The amount of food that there will be at the fiesta
The number of students who attend the fiesta
Identify the independent variable and dependent variable.

Answers

I think the independent variable is the number of the students who attend the fiesta and the dependent variable is the amount of food there will be at the fiesta

The number of pages read varies directly as the number of minutes spent reading. After 20 minutes, Zack had read 12 pages. How many pages can Zack read in 35 minutes? Do not include units in your answer.

Answers

The answer is 21 pages.

First, make a proportion

12 pages x pages
—————— = ——————
20 minutes 35 minutes

Second, cross multiple

20x=420

Simplify by dividing both sides by 20

x=21 pages

Hope this helps!

Answer:

21

Step-by-step explanation:

-12(23 – 17) - (-2) × 62​

Answers

Answer:

52

Step-by-step explanation:

Simplify the following:

-12 (23 - 17) - -2×62

| 1 | 13

| 2 | 3

- | 1 | 7

| 0 | 6:

-126 - -2×62

-12×6 = -72:

-72 - -2×62

-(-2) = 2:

-72 + 2×62

2×62 = 124:

-72 + 124

-72 + 124 = 52:

Answer:  52

PLEASE SOMEONE ANSWER MY QUESTION PLEASE!

Answers

Answer:

c

Step-by-step explanation:

i used my calculator

Miss Penny inherits £390.
She decides to save some of the
money and spend the rest.
The ratio of savings to spending
money is 9:4
How much does she save and how
much does she spend?

Answers

Answer:

£150 saved; £240 spent.

Step-by-step explanation:

If the ratio of savings to spending is 5:8, we find the fractions representing the amount saved and the amount spent by adding up 5 and 8 and then forming fractions:

savings:  5/13

spending:  8/13

(5/13) of £390 is £150; this is the amount saved.

(8/13) of £390 is £240; this is the amount spent.

Please mark as the brainliest answer and i hope it helps you....

Drag a reason to each box to complete the proof

Answers

where’s the work????

1/2 x + 4 = 15
x = 22
x= 38
x = 5.5
x = -22

Answers

Answer:

x=22

Step-by-step explanation:

To find the x value, you need to use reverse PEMDAS (or GEMDAS as I've seen some people call it)

First, you subtract 4 from both sides of the equation. This should give you:

1/2x=11

Then, you divide 1/2 on each side. Although it's easier to multiply 2 on each side instead. This will give you.

x=22

The answer is x=22

Hope this helps

Write -0.744 as a fraction in lowest term

Answers

Answer:

- 93/125

Step-by-step explanation:

Answer:

-93/125 is the answer

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