If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (revolutions per minute)? [There are 63,360 inches in 1 mile) Round your final answer to 2 decimal places .

Answers

Answer 1

Answer:

The tires are spinning at 660.49 revolutions per minute.

Step-by-step explanation:

The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:

[tex] \omega = \frac{v}{r} [/tex]

Where:

r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches

[tex]\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm[/tex]              

Therefore, the tires are spinning at 660.49 revolutions per minute.

   

I hope it helps you!          


Related Questions

PLEASE HELP!!! :(
Consider the following figure
What is BD? ​

Answers

Answer:

BD = 16

Step-by-step explanation:

32/BD = BD/8

BD² = 256

BD = 16

Rectangle A'B'C'D' is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation?​

Answers

The dilation is 1/2
The second image is 1/2 the length of the original image

What is the equation of a line with a slope of 2 and a y intercept of -5?

Answers

Answer:

y=2x-5

Step-by-step explanation:

The slope is how you move so you could also call it m

The y intercept is where you begin so you could call it b

So every time you need to find the equation or which one is like the slope just remember m=move b= begin

y=mx+b

TOURS The table shows the activities of two visitors at a park. You want to take the boat tour for 2 hours and the walking tour for 3 hours. Can you determine how much you will pay? Explain.

Answers

Answer:

Step-by-step explanation:

short song i made what yall think of it?

Answers

this is good keep it up stan u sound cloud rappa 4 life

Please help me with those questions please

Answers

Answer:

7.5

35.2

1.5

20

Step-by-step explanation:

1. vertical angles are equal

(2x+17)=(4x+2)

15= 2x

x= 7.5

2. adjacent angles equal 180

(2m+8)+(3m-4)= 180

5m+4= 180

5m= 176

m= 35.2

3. (30s+5)=(20s+20)

10s= 15

s=1.5

4. 4p+5p=180

9p=180

p=20

sorry that took so long.  I was babysitting lol

4. 3a+6+5a A)16 B)8a C)8
5. 8b+8-4b A)20 B)28 C)12b
6. 5c-4c+c A)9c B)0 C)-6

Answers

Answer:

No clue what the answer is...

3-4/5X-2/3–3/15+3/5divided by -3/2

Answers

Answer:

-2(6x-13)/15

Step-by-step explanation:

This is done by simplifying the expression as well as combining like terms

PLS HELP (MARKING BRAINLIEST)

Answers

Answer:

there is a fraction calculator you can use

https://www.calculatorsoup.com/calculators/math/fractions.php

Step-by-step explanation:

Felipe planted some seeds for a science project. One of his plants grew 6 1/2 inches in the first week, and then it grew 5 3/4 inches during the second week. How much did the plant grow during these two weeks? The answer should be written as a proper mixed number and should be simplified, if possible. *ill give brainliest*

Answers

Answer:

12 1/4

Step-by-step explanation:

Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.

Answers

Answer:

A = -2

B = -8

Step-by-step explanation:

A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.

Then if we have the equations:

A*x- y = 8

2*x + y = B

We want to find A and B such that both equations are exactly the same thing.

Notice that in the first one we have negative y, while in the second we have positive y.

Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:

A = -2

And B needs to be minus the corresponding therm in the other equation, then B = -8.

Then the system becomes:

-2*x - y = 8

2*x + y = -8

We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:

y = -8 - 2*x

y = -8 - 2*x

So both equations are exactly the same thing, meaning that we have infinitely many solutions.

i need help with this question

Answers

Answer:

(C). [tex]\frac{22\pi }{3}[/tex] yd.

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

If I’m correct the answer is A

Answer:

They only intersect once. (Correct letter is B)

Step-by-step explanation:

Slope Intercept Form:

2x - 4y = 3

-2x        -2x

________

-4y = -2x + 3

Switch the signs of all of the numerals since you cannot have a negative 'y' value.

4y = 2x - 3

----   ---------

4         4

y= 1/2x - 3/4

-----------------------------------------------------------------------------------------------------------------

7y - 5x = 8

    +5x  +5x

----------------

7y = 5x + 8

----   ---------

7        7

y= 5/7x + 1 1/7

-----------------------------------------------------------------------------------------------------------------

After graphing the lines, you then can see that the lines only ever intersect once.

What is the median of the data set shown: 18,21,22,24,28,30,31,32,36,37

Answers

29
Step 1: Add the two middle numbers (28+30)
Step 2: Divide the sum by 2 (58/2=29)

Answer: 27.9

Step-by-step explanation:

Add all the numbers together and divide it by how many number there is so

all the numbers added together is 279

there are 10 numbers there so you divide 279 by 10 and it gives you 27.9

a triangular sail on a sailboat measures 8 yards on one side and 10 yards on a second side, what could be the length on the third side?

Answers

Answer:

8 yards

Step-by-step explanation:

/\

/ \

/ \

----------

/ and \ = 8

_ = 10

Mason is laying tiles on his entryway. The tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long. How many tiles will Mason need to buy in order to cover the length of the entryway? Explain.

Answers

Answer:

1 2/3

Step-by-step explanation:

7 1/2x2/9

The required number of tiles will be 34 covering the length of the entryway.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

We have been given that the tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long.

We have to determine the number of tiles will he need to buy in order to cover the length of the entryway.

According to the given question, the required solution would be as:

So the number of tiles covering the length of the entryway will be

⇒ 7 1/2 ÷ (2/9)

⇒ 15/2 ÷ (2/9)

⇒ 15/2 / (2/9)

Reciprocal the term in the denominator

⇒ (15/2) x (9/2)

Apply the multiplication operation,

⇒ 135/4

Apply the division operation,

⇒ 34

Thus, the required number of tiles will be 34 covering the length of the entryway.

Learn more about Multiplication operations here:

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x - y = 4
y - 8 = -2
At which point do the graphs of the given equations intersect each other?

Answers

Answer:

(10,6)

Step-by-step explanation:

1. Rearrange

x-y=4

y=x-4

y-8=-2

y=6

2. Graph

Solve each equation b+3.3=8.9 what is b?

Answers

the answer will be 5.6 !

you can get this by doing 8.9 - 3.3 ! remember you can apply this to all problems by turning division to multiplication, addition to subtraction, etc.

please mark brainliest if this was useful ♡

sketch graphs of these three quadratic relations on the same set of axes.
a) y=x^2 + 8
b) y= x^2 - 5
c) y= x^2 - 10

Answers

Answer: B
I hope this helps you

PLS HURRY AND HELP
Darren had 3 apples represented by the variable (a) . He went to the store and bought 6 more apples to make a pie . Then his little brother Keith came into the kitchen and ate 2 of the apples. Write an expression to show how many Derran is left with.

Answers

Answer:

a + (6 -2)

I'm not completely sure, but I hope this helps.

36 is 18% of what number?

Answers

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

:/

I hope

X=
Y=
The polygons to the right are similar. Find the value of each variable

Answers

Answer:

y = 7

x = 24

Step-by-step explanation:

When two triangles are similar, the ratio of their corresponding sides are equal

For the bigger triangle we have a total 48; so for the smaller we have x

For the bigger, we have 14, so for the smaller, we have y

Mathematically;

25/x = 50/48

x * 50 = 25 * 48

x = (25 * 48)/50

x = 24

For y;

25/y = 50/14

y = (25 * 14)/50

y = 7

Monthly grocery cost based on the average number of shopping trips is predicted using the least-square regression line, ŷ = 275.3 + 90.7x, where ŷ represents the predicted monthly expense and x represents the average number of trips. A shopper visits the grocery store an average of 3.2 times and has a monthly cost of $520. What is the residual for the shopper?

45.54
76.47
−45.54
−76.47
90.7

Answers

Answer:

−45.54

Step-by-step explanation:

Just took the test

The residual for the shopper will be equal to -45.54. Hence, option C is correct.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given data provided in the question,

The given equation is,

y = 275.3 + 90.7 x

Here, x is the number of trips and y is the total monthly expense.

Then,

Shopper monthly cost = $520

Number of visits by the shopper in a month = 3.2

So, the residual for the shopper will be,

$520 = 275.3 + 90.7 (3.2)

$520 = 275.3 + 290.24

= -45.54

To know more about equation:

https://brainly.com/question/29657983

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leroy is calculating the probability of rolling a regualr 6-sided die and flipping a coun. He wants to know the probability if rolling a 4, then landing on heads twice Find P(4 and H and H).

Answers

Answer:

To roll the 4 is 1/6 and landing heads twice is 1/4 and 1/6 x 1/4 and the probability of him doing that would be 0.04166666666% chance

Step-by-step explanation:

what % of 25 = 5
Please hurry​

Answers

5 is what percent of 25? = 20

A new car is for lease for $429 per month with a down payment of $1,058. What is the cost for 42 months for this vehicle?

$19,076

$44,865

$44,436

$18,018

$62,454

Answers

18,018 is the answer

NEEED HELP PLEASEEEEE
Write a rate that represents the situation:
One possible rate is ( ) week(s) for ( ) every day(s).

Answers

Answer:

10/10

Step-by-step explanation:

Ez..........................................................

Find the sum.
5y+2/xy^2 + 2x-4/4xy

Answers

[tex]\frac{5y+2}{xy^2}[/tex]+[tex]\frac{2x-4}{4xy}[/tex]=[tex]\frac{xy+8xy+4}{2xy^2}[/tex]

or just (xy+8y+4)/2xy^2 if u can't see the equation

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

Simplify the expression, then we have

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

⇒ [4(5y + 2) / (4xy²)] + [y(2x - 4) / (4xy²)]

⇒ [(20y + 8) / (4xy²)] + [(2xy - 4y) / (4xy²)]

⇒ (20y + 8 + 2xy - 4y) / (4xy²)

⇒ (16y + 2xy + 8) / (4xy²)

⇒ (8y + xy + 4) / (2xy²)

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

More about the Algebra link is given below.

https://brainly.com/question/953809

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need help will give brainliest​

Answers

area is base x height
8cm is the base , 8 cm is the height
8x8=64cm

Help!! I have 55 seconds to do this

Answers

Answer:

the answer is A

Step-by-step explanation:

78 is acute angle because it is less than 90 degrees. A is an acute angle so thats the answer

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