1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
seropon [69]
3 years ago
14

A car wheel has a radius of 16 inches. Through what angle ( to the nearest tenth of a degree ) does the wheel turn when the car

rolls forward 4 feet? A. 186.9° B. 171.9° C. 176.9° D. 181.9°
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.

Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.

Since the radius is 16 inches, the circumference will be

C=2\pi r = 32\pi

So, we have the following proportion:

360\div 32\pi = x \div 48

that you can read as: "if an angle of 360 corresponds to a distance travelled of 32\pi, then the unknown angle x corresponds to a distance travelled of 48 inches.

Solving for x, we have

x = \dfrac{360\cdot 48}{32\pi} = \dfrac{17280}{32\pi} = 171.887338539\ldots \approx 171.9

You might be interested in
How many more dollars does she need
Ipatiy [6.2K]
Well for 5 movies, you do f(5) which is 32. So take 12 away from that because she already has 12, means that she still needs $20.
7 0
3 years ago
Two angles of a triangle measure 78 and 24
Leviafan [203]

Answer: 78

Step-by-step explanation: Remember every triangle ads up to a total of 180 degrees. You just have to make sure that it adds up to 180

8 0
3 years ago
Please help me with the answers
Illusion [34]

Answer:

slope= 3/1

y-intercept (0,2)

y= 3/1 b + 2

4 0
3 years ago
Linear equation <br><br> 4.5 + 1.5y=24<br> x-y=4
WARRIOR [948]
4.5x + 1.5y = 24 ⇒ 4.5x + 1.5y = 24
1.0x -  1.0y = 4   ⇒<u> 4.5x - 4.5y = 18</u>
                                             <u>6y</u> = <u>6</u>
                                              6     6
                                               y = 1
                             4.5x + 1.5(1) = 24
                                 4.5x + 1.5 = 24
                                 <u>         - 1.5    - 1.5</u>
                                          <u>4.5x</u> = <u>22.5</u>
                                           4.5      4.5
                                               x = 5
                                          (x, y) = (5, 1)
8 0
3 years ago
I will give you brainliest !! please help!
astra-53 [7]
The answer is 1.47
hope this help you
5 0
3 years ago
Other questions:
  • What's the answer for p2 when p=25 ​
    5·2 answers
  • In a dog show, there will be a gold, a silver, and a bronze medal awarded. There are
    13·2 answers
  • Please help, I need to find the area, circumference, and radius
    13·1 answer
  • Please answer this question in two minutes
    6·1 answer
  • Principal Philippi use a random sample of 20 student records to determine how far in miles students live from the school the res
    8·2 answers
  • Marcos found a challenge involving square roots knowing that he solved correctly the answer given by marcos √81 + √49 -√100
    7·1 answer
  • Pls help me i suck at math and i really need this done.
    13·1 answer
  • Can you solve them with points to plot thank you
    6·1 answer
  • CAN SOMEONE HELP ME OUT I BEG U
    7·2 answers
  • The graphs below have the same shapes. What is the equation for the red graph?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!