A car is traveling at 47 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answer in revolutions per minute. Round to two decimal places

Answers

Answer 1

Answer:

3676.44 rad/min

Step-by-step explanation:

It is a problem about the angular speed of the car's wheel.

You can calculate the angular speed by using the following formula, which relates the tangential speed of the wheels (the same as the speed of the car) with the angular speed:

[tex]\omega=\frac{v}{r}[/tex]    ( 1 )

v: speed of the car = tangential speed of the wheels = 47mph

r: radius of the wheels = 27/2 in = 13.5 in

you change the units of the speed:

[tex]47mph*\frac{63360in}{1mille}*\frac{1h}{60min}=49632\frac{in}{min}[/tex]

next, you replace the values of v and r in the equation (1):

[tex]\omega=\frac{v}{r}=\frac{49632in/min}{13.5in}=3676.44\frac{rad}{min}[/tex]

Then, the car's tires are turning with an angular speed of 3676.44 rad/min


Related Questions

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What are the key aspects of the graph of f(x) = x^2-b^2
where b is a real number?

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Answer:

the graph has opposite x intercepts of b and -b. the graph has y intercepts at –b². the graph of the function symmetrical about the y-axis.

Step-by-step explanation:

WILL GIVE BRAINLEST!! We roll a fair 6-sided die 5 times. What is the probability that we get an odd number in exactly 4 of the 5 rolls?

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The answer is 6.25% because you take 50 to the fourth

help me fill this out thanks

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Answer:

Perimeter = 80mm

Step-by-step explanation:

= 4(side)

= 4(20)

= 80mm

hope it helps!

Answer:

What is the perimeter of this square? 80 mm

Step-by-step explanation:

20 + 20 + 20 + 20

= 4 × 20

= 80 mm

A brand of uncooked spaghetti comes in a box that is a rectangular prism with the length of 8 inches width of 2 inches and the height of 1 1/2 inches what is the surface area

Answers

Answer:

176

Step-by-step explanation:

Write the equation of a line that passes through the origin and is perpendicular to the line whose equation is 12x - 4y = 24.

Answers

Answer:

y=-1/3x

Step-by-step explanation:

Let's convert this to slope intercept form:

12x-4y=24

-4y=-12x+24

y=3x-6

Therefore, the slope of this line is 3, so the perpendicular line to this would have slope -1/3. Therefore, the slope of the line would be y=-1/3x. Hope this helps!

Pleaaase help me out here im being timed!!
Really appreciate it if u did thank u.

Answers

Answer:

use this example, its all i could find

Step-by-step explanation:

Answer:

V=\frac{lwh}{3}

l=length

w=width

h=height

volume of pyramid formula

Step-by-step explanation:

4 3/10 - ( 2 2/5x+ 5 1/2) = 1/2(-3 3/5x + 1 1/5)

Answers

Answer:

x = -223/11 = -20.273

Step-by-step explanation:

Step  1  : Simplify:  11/5

Step 2: Simplify 33/5

Step  3  :

Adding fractions which have a common denominator

Step  4: Simplify: 1/2

Step  5  :  see below

Step  6  :  see below

Pulling out like terms/factors

Step  7 : Simplify: 51/2

Step 8:  Simplify: 22/5

Step 10: Simplify: 43/10

Step  9  :

Calculating the Least Common Multiple

Step  11  :

Adding fractions which have a common denominator

Done.

Hope this helps.

4x - 20 = -2(-3x + 22)

Answers

Answer: x = 12

Step-by-step explanation:

[tex]4x-20=-2(-3x+22)[/tex]

Begin by distributing -2

[tex]4x-20=6x-44[/tex]

Subtract 6x

[tex]4x-6x-20=-44[/tex]

Add 20

[tex]4x-6x=-44+20[/tex]

Combine like terms;

[tex]-2x=-24[/tex]

Divide by -2

[tex]x=\frac{-24}{-2}\\ x=12[/tex]

who is the best rapper

Answers

Answer:

Eminem.

Rakim.

Nas.

Andre 3000.

Lauryn Hill.

Ghostface Killah.

Kendrick Lamar.

Lil Wayne

Step-by-step explanation:

Answer:

Logic

Step-by-step explanation:

What is the area of triangle DEF? Triangle D E F has a base of 42 centimeters and a height of 28 centimeters. The other sides have lengths of 35 centimeters.

Answers

Answer:

The area of triangle DEF is 588 cm²

Step-by-step explanation:

Given;

triangle  DEF with base, b = 42 centimeters

triangle  DEF with height, h = 28 centimeters

triangle  DEF other side length, L = 35 centimeters

Area of a triangle is half of the product of the triangle base and height.

Represented in formula as;

A = ¹/₂bh

where;

b is the base of the triangle

h is the height of the triangle

A = ¹/₂ x 42 x 28

A = 588 cm²

Therefore the area of triangle DEF is 588 cm²

Answer:

588

Step-by-step explanation:

Wich point is located at (3, -5)?

A

B

C

D

Answers

Answer:

C

Step-by-step explanation:

3 is on the x-axis so you go over 3 spots, then -5 is on the y-axis so you go down (negative) 5 spots

Answer:

The Answer is c

Step-by-step explanation:

The first point in a coordinate (3) is the x-axis which is the axis going horizontally. You count 3 points right. From here, you go down 5 because it is the y-value which gets you to (3,-5).

Which ordered pair is a solution of the equation?
y=3x+5y=3x+5

Answers

Answer:

I'm not sure, but maybe try

[tex](1, -\frac{3}{4} ) or (2,- \frac{3}{2})[/tex]

Plz click the Thanks button!

<Jayla>

Answer:

The answer to y=3x+5 is Only(2,110

If (1)=3 and f(n)=f(n-1)-1 then find the value of f(6)

Answers

Answer:

f(1) = 3

f(n) = f(n-1) - 1

Otherwise,

f(n) = f(1) - (n-1)

=> f(6) = 3 - 5 = -2

Hope this helps!

:)

A bag contains 3 red balls and two blue balls. A ball is taken out random from the bag and then put back. A second ball has been taken out of the bag. What is the probability that: (a) both balls are red, (c)b both balls are the same color, (c) at least one of the balls is red. Answer

Answers

Answer:

a . 9/25

b. 13/25

c. 3/5

Step-by-step explanation:

Firstly, we add the number of balls to get the total number of balls = 3 + 2 = 5 balls

P(R) = number of red/total number of balls = 3/5

P(B) = number of blue/total number of balls = 2/5

Since the experiment is with replacement, whatever ball picked would be returned

a. Probability of both balls being red = P(R) * P(R) = 3/5 * 3/5 = 9/25

b. Probability of both balls being same color;

That is : probability of both balls being red or both being blue

Mathematically that would be;

P(R) * P(R) or P(B) * P(B)

whenever we have or in probability, what we do is to add ;

= (3/5 * 3/5) + (2/5 * 2/5) = 9/25 + 4/25 = 13/25

C. at least one of the balls is red

what this means is that both are red or one of the two is red.

Mathematically;

P(R) * P(R) or P(B) * P(R)

= (3/5 * 3/5) + (3/5 * 2/5)

= 9/25 + 6/25 = 15/25 = 3/5

Write a linear equation for the line with slope = - 1/4 going through the point: (0, 0)

please hurry i need this by 2:00pm

Answers

The equation of a line is written as y =Mx + b, where m is the slope and b is the y intercept, which is the y value when x = 0.

You are told the slope is -1/4, so replace m with -1/4. You are also given the point (0,0) which means when x is 0, y is also 0, so replace b with 0.

The equation becomes y= -1/4x + 0

Because y is 0 you aren’t adding anything to the equation so you can remove it from the equation.

Answer is y = -1/4x

The answer would be Y=-4x

The Waves swim team has a ratio of 14 boy: 12 girls. If there are 39 athletes,How many girls are there?


If 7 more boys join the Waves team, how many girls should be added to the team to maintain the same ratio of boys and girls.

Answers

Answer:

1. 18 girls

2. 5 girls will be added to maintain the same ratio of boys and girls

Step-by-step explanation:

1. Boys : Girls = 14 : 12

14 + 12 = 26, 39/26 = 1.5

Boys: 14 x 1.5 = 21

Girls: 12 x 1.5 = 18

21 + 18 = 39 athletes, there are 18 girls on the 39 athletes.

2. Boys : Girls = 14 : 12

14 : 12

7   : ?

14 - 7 = 12 - ?

7 = 12 - ?

12 - 7

= 5

If there is any wrong, Please correct me or reply to me!

Suppose the diameter of a circle is 6 units. What is its circumference?

Answers

If the diameter of a circle is 6 units, it's radius would be half that, that is 3 units.

Circumference = [tex]2\pi r[/tex] = 2 x 3.14 x 3 = 18.84 units

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

the right answer is : A

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

im smort

Identify domain and range of each function.y=3•5^x

Answers

Answer:

Domain- {IR} all real numbers or {infinity,infinity}

Range-{0,infinity}

Step-by-step explanation:

plug into calculator

PLEASE HELP THIS IS DUE!!!!!

Answers

Answer:

what are we supposed to answer

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

there is nothing there

Which of the following fractions converts to a repeating decimal? A 3/8 B 2/9 C 3/10 D 5/16

Answers

The answer would be B. 2/9

Just divide the numerator by the denominator.

A. 3/8= 0.375
B. 2/9= 0.222222222222222
C. 3/10=0.3
D. 5/16= 0.3125

Answer:

B. 2/9

Step-by-step explanation:

3/8 = 0..375

2/9 = 0.2222222222

3/10 = 0.3

5/16 = 0.3125

the repeating decimal among these is 2/9 = 0.22222222222222222, because it has a repeated decimal numbers

A.359.5
B.2,178
C.18.0

Answers

Answer:

C, or 18.0

Step-by-step explanation:

The SAS theorem provides that the area is 17.97, which rounds up to 18.0, giving you C as the answer. The other two are far too high for the given values.

Find the area of this parallelogram. Be sure to include the correct unit in your answer.

Answers

Answer:

120

Step-by-step explanation:

You need to move the triangle (on the right) to the left side so you can make a rectangle. Then, you do bxh and get 120

The area of a given parallelogram is 120m^2.

We have given parallelogram,

What is the area of the parallelogram?

A=bh

Where b is the base and

h is the height.

In the given figure we have b=15m and h=8m.

A=15(8)

A=120m^2

The area of a given parallelogram is 120m^2.

To learn more about the area of the parallelogram visit:

https://brainly.com/question/970600

#SPJ2

Can someone help me!!!

Answers

Its -1, 3 because i negative


Find the volume of the figure.
A) 111 in3
B) 165 in3
C) 201 in3
D) 309 in3

Answers

Answer:your answer is B.) 165 in3

Un parallelepipedo rettangolo ha una dimensione di base di 15 cm e l'altra è i 35 della prima. L'area totale misura 750 cm2. Di L'area laterale; L'altezza del parallelepipedo; Il volume. calcola

Answers

Answer:

1. Suprafața laterală este de 480 cm²

2. Înălțimea paralelipipedului este de 4,8 cm

3. Volumul paralelepipedului este de 648 cm³

Step-by-step explanation:

Un paralelipiped dreptunghiular are dimensiunea bazei de 15 cm, iar celălalt este 35 din primul. Suprafața totală măsoară 750 cm2. Din zona laterală; Înălțimea paralelipipedului; Volumul. Calcol

Aici avem

Dimensiunile bazei sunt;

a = 15 cm

b = 3/5 × 15 = 9 cm

c = Obligatoriu

De asemenea suprafața totală = 750 cm²

∴ deoarece suprafața totală = 2 · a · b + 2 · b · c + 2 · a · c

2 × 15 × 9 + 2 × 35 × c + 2 × 15 × c = 750

270 + 70 · c + 30 · c = 750

100 · c = 480

c = 4,8 cm

Suprafața laterală reprezintă suprafața totală mai puțin zona de sus și de jos

Prin urmare;

1. Suprafața laterală = 750 - 2 × 15 × 9 = 480 cm²

2. Înălțimea paralelipipedului = c = 4,8 cm

3. Volumul paralelipipedului = aria bazei × înălțimea

∴ Volumul paralelipipedului = 15 × 9 × 4,8 = 648 cm³.

−3x+7y=5x+2yminus, 3, x, plus, 7, y, equals, 5, x, plus, 2, y Complete the missing value in the solution to the equation. (−5,(-5,(−5,left parenthesis, minus, 5, comma )))right parenthesis

Answers

Answer:

[tex](-5,-8).[/tex]

Step-by-step explanation:

Given the equation

[tex]-3x+7y=5x+2y[/tex]

We need to find the missing value of the coordinate; (-5, __)

First, we collect like terms

[tex]-3x-5x=2y-7y\\\\-8x=-5y[/tex]

When x=-5

[tex]-8*-5=-5y\\\\40=-5y[/tex]

Dividing both sides by -5

[tex]y=-8[/tex]

The missing value of the coordinate (-5,y) is -8.

Thus, the complete solution to the equation is [tex](-5,-8).[/tex]

2/3=(1/2)/x solve for x

Answers

Answer:

x=3/4

Step-by-step explanation:

Look at the picture so you understand how To solve it.

please help me i need the last word for this crossword puzzle!!! if i did something wrong let me know...

Answers

Answer:

Your other answers all look good - I think the word in the blank is producer, which means an organism that makes its own food. Green plants do so through photosynthesis.

Answer:

producer

Step-by-step explanation:

Because it makes sense

In the United States, birth weights of newborn babies are approximately normally distributed with a mean of ? = 3,500 g and a standard deviation of ? = 500 g. According to the empirical rule, 68% of all newborn babies in the United States weigh between and .

Answers

Answer:

3000 and 4000

95% of all newborn babies in the United States weigh between *2500g and 4500g*

99.7% of all newborn babies in the United States weigh between *2,000g and 5,000g*

Step-by-step explanation:

Using the Empirical Rule, it is found that 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.

What is the Empirical Rule?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, the mean is of 3,500 g with a standard deviation of 500 g, hence:

3500 - 500 = 3,000 g.

3500 + 500 = 4,000 g.

Hence, 68% of all newborn babies in the United States weigh between 3,000g and 4,000g.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

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