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Elis [28]
2 years ago
11

A wheel of radius 10 inches is rotating 20°/sec. What is the linear speed in in/sec and the angular speed in RPM? (Round your an

swers to three decimal places) ____ in/sec ____ RPM What is the angular speed in radians/sec? ____ radians/sec
Mathematics
1 answer:
Assoli18 [71]2 years ago
3 0

9514 1404 393

Answer:

  a)  3.491 in/s

  b)  3.333 RPM

  c)  0.349 rad/s

Step-by-step explanation:

We know the arc length for a given radius and angle is ...

  s = rθ

so the linear speed along the arc is ...

  s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s

__

The rotation rate of 20°/s is an angular velocity of ...

  (20°/s)(60s/min)(1 rev/360°) = 3.333 RPM

__

In the first part, we found the angular speed to be π/9 radians/sec. That's about ...

  π/9 rad/s ≈ 0.349 rad/s

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a building with a height of 32m casts a shadow that is 20m long. a person standing casts a shadow that is 1.2 m long how tall is
wlad13 [49]
Most of the information's required for solving the question is already given in the question.
Height of the building that casts a shadow of 20 m = 32 m
Then
Height of the man that casts a shadow of 1.2 m = (32/20) * 1.2 meter
                                                                             = 3.2 * 1.2 meter
                                                                             = 3.84 meter
So the actual height of the person casting a shadow of 1.2 meter is 3.84 meters. I hope that the procedure used for solving the problem is easy enough for you to understand. You can definitely use this method in future for solving problems of similar type without requiring any additional help from outside.

6 0
3 years ago
For each trip, a taxi company charges a fixed fee of $2.00 plus $0.75 for each 1/2 mile or fraction of 1/2 miles. If, for every
nydimaria [60]

Answer:

E: 2.00 + 0.75 [ 2r]

Step-by-step explanation:

r represents the number of miles. For each 1/2 mile the taxi will charge and extra free of $0.75. Then, for each mile, the taxi will charge $0.75*2. For example:

For a trip of 1 mile the taxi will charge:

$2.00+$0.75*2

For a trip of 2 miles, the taxi will charge:

$2.00+0.75*4

For a trip of 10 miles, the taxi will charge:

$2.00+$0.75*20

Notice that the variable fee (the one that depends on the number of miles) is $0.75 times the double of miles. In each case the number of miles is multiplied by two. Then the correct answer is E: 2.00 + 0.75 [ 2r]

5 0
3 years ago
Hey guy pls help <br> explain answer <br> no links
laiz [17]

Answer:

4, 5

Step-by-step explanation:

the mode is 4 since mode is the number/s that appear most. Median is the number in the middle when the range is in order. That is 5

8 0
3 years ago
Find the slope of the graphed line​
Rudiy27

Answer:

rise over run

Step-by-step explanation:

In this case it is undefined

3 0
3 years ago
For f(x) =4x+1 g(x)=x²-5, find (f•g)(x)​
Inessa05 [86]

Answer:

(f · g)(x) = 4x³ + x² - 20x - 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms
  • Expand by FOIL (First Outside Inside Last)

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 4x + 1

g(x) = x² - 5

(f · g)(x) is f(x)g(x)

<u>Step 2: Find (f · g)(x)</u>

  1. Substitute:                    (f · g)(x) = (4x + 1)(x² - 5)
  2. Expand [FOIL]:             (f · g)(x) = 4x³ - 20x + x² - 5
  3. Combine like terms:    (f · g)(x) = 4x³ + x² - 20x - 5
3 0
3 years ago
Read 2 more answers
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