A car is moving at a rate of 28 miles per hour and the diameter of its wheels is about 2 1/3 feet. Find the angular speed of the wheel in radians per minute.

Answers

Answer 1
Answer: The diameter of the wheel is 2 1/3 ft. So d = 2 + 1/3 
Circumference 
C = pi*d 
C = 3.14*(2 + 1/3) 
C = 7.326667 

The circumference is roughly 7.32666 feet. 
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Convert 7.32666 feet to miles 

(7.32666 feet)*(1 mile/5280 feet) = 7.32666/5280 = 0.001387625 miles 

7.32666 feet = 0.001387625 miles (approximate) 


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(28 miles/1 hour)*(1 revolution/0.001387625 miles) = 28/0.001387625 = 20,178.3623097019 revolutions per hour 


Now convert from "revolutions per hour" to "revolutions per minute" 


(20,178.3623097019 rev/1 hour)*(1 hour/60 minutes) = 20,178.3623097019/60 = 336.306038495031 


The final answer for part A) is 336.306038495031 revolutions per minute (this is approximate).

336.306038495031 rev/1 minute)*(2pi radians/1 rev) = 336.306038495031*2pi = 336.306038495031*2*3.14 = 2,112.0019217488 

So the angular speed is roughly 2,112.0019217488 radians per minute

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How to plot m>0 on a number line

Answers

' m > 0 ' is EVERYTHING on the number line to the right of zero.
m>0


                                   0                     m
____________________]____________________________

What is the sum of the polynomials? ( 8x^2 -9y^2-4x) + (x^2- 3y^2- 7x) answer options are in the pics

Answers

Answer:  The correct option is (D) 9x^2-12y^2-11x.

Step-by-step explanation:  We are given to find the following sum of the polynomials :

S=(8x^2-9y^2-4x)+(x^2-3y^2-7x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the required sum, we need to add the coefficients of the same unknown variables with equal powers.

The sum of the polynomials in (i) is as follows :

S\n\n=(8x^2-9y^2-4x)+(x^2-3y^2-7x)\n\n=8x^2-9y^2-4x+x^2-3y^2-7x\n\n=(8+1)x^2-(9+3)y^2-(4+7)x\n\n=9x^2-12y^2-11x.

Thus, the required sum of the polynomials is9x^2-12y^2-11x.

Option (D) is CORRECT.

(8x^2-9y^2-4x)+(x^2-3y^2-7x)

First, get rid of the parentheses and combine like terms

(8x^2+x^2)(-9y^2-3y^2)(-4x-7x)

9x^2-12y^2-11x is your answer

2. What is the solution to the equation? If necessary, round your answer to the nearest tenth. A. 3x^2 = 48 B. x^2 – 2 = 12

Answers

The first one is 4, and the second one is 3.7

Put these in order below are exactly divisible by 9?

119 702 432 641 372

Answers

119 ÷ 9 = 13 2/9
702 ÷ 9 = 78
432 ÷ 9 = 48
641 ÷ 9 = 71 2/9
372 ÷ 9 = 41 3/9 ⇒ 41 1/3

702 and 432 are divisible by 9. The rest are not. 


What is 621 divided by 7

Answers

most likely you would be able to put this in a calculator but the answer to: 621/7 is 88.7. Hope it helps!

Review the graph.What is the magnitude of the vector shown?

5
13
StartRoot 5 EndRoot
StartRoot 13 EndRoot

Answers

The required magnitude of the vector is √13. Option D is correct.

A graph is given, that shows the vector, the magnitude of the vector is to be determined.

What is vertex form?

Vector form is defined as representing any point in space that has both magnitude and direction.  A point k in space is represented as a vector OKi + OKj, which denotes the vector line, OK joining the line from the origin O to the point k. The vector form is used to define a line or a plane in a 3D space.

From the figure,
given vector can be expressed as,
\bar v = 3\bar i+2\bar j
now the magnitude of vactor,
|\bar v| = √(3^2+2^2)\n|\bar v| = √(9+4)\ \n|\bar v| = √(13)\

Thus, the required magnitude of the vector is √13. Option D is correct.

Learn more about vector form here:

brainly.com/question/13921516

#SPJ5

Answer:

D. sqrt 13

Step-by-step explanation:

took on edge :)