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
sasho [114]
3 years ago
10

A circular test track for cars has a circumference of 2.7km . A car travels around the track from the southernmost point to the

northernmost point. What distance does the car travel? (answer 1.35km). Part B !!!!!!!What is the car's displacement from its original position?,
Mathematics
1 answer:
Galina-37 [17]3 years ago
5 0
This problem is about the difference between distance and displacement.
The distance is how many kilometers has the car covered, the displacement is how far from the original point is the car now, and does not depend on the path followed, but it is the shortest path that connects two points.

a) In this part, they ask you for the distance. From the southernmost to the northernmost point of the circumference, the car has traveled half of the circumference, therefore:
distance = circumference ÷ 2 = 2.7km ÷ 2 = 1.35km

b) In this part, you are asked for the displacement, which in this case is the diameter of the circumference:
displacement = diameter = circumference ÷ π = 2.7km ÷ 3.14 = 0.86km = 860m
You might be interested in
If Joe works eight hours per week at $10.75 an hour, how much will he make in one month?
Serjik [45]

$10.75 x 8 = $86 x 4(weeks) = <em>$344</em>

7 0
3 years ago
Read 2 more answers
Let Ebe the set of all even positive integers in the universe Zof integers, and XE : Z R be the characteristic function of E.
AnnZ [28]

Answer:

\mathbf{X_E (2) =  1}

\mathbf{X_E (-2) = 0 }  

\mathbf{\{ x \in Z: X_E(x) = 1\}  = E}

Step-by-step explanation:

Let E be the set of all even positive integers in the universe Z of integers,

i.e

E = {2,4,6,8,10 ....∞}

X_E : Z \to R be the characteristic function of E.

∴

X_E(x) = \left \{ {{1 \ if  \ x \ \  is \ an \ element \ of \ E} \atop {0 \ if  \ x \ \  is \ not \ an  \ element \ of \ E}} \right.

For XE(2)

\mathbf{X_E (2) =  1}  since x is an element of E (i.e the set of all even numbers)

For XE(-2)

\mathbf{X_E (-2) = 0 }   since  - 2 is less than 0 , and -2 is not an element of E

For { x ∈ Z: XE(x) = 1}

This can be read as:

x which is and element of Z such that X is also an element of x which is equal to 1.

∴

\{ x \in Z: X_E(x) = 1\} = \{ x \in Z | x \in E\} \\ \\  \mathbf{\{ x \in Z: X_E(x) = 1\}  = E}

E = {2,4,6,8,10 ....∞}

5 0
3 years ago
The second digit after the decimal point in a number is 4. What is the value of 4 in the number? 1 thousandth 4 thousandths 1 hu
MrMuchimi

Answer:

D. 4 hundredths

Step-by-step explanation:

Hello!

The second digit after the decimal point is 4 is shown by

0.04

The points after a decimal point go tenths, hundredths, thousandths etc.

The answer is D. 4 hundredths

Hope this helps!

3 0
3 years ago
Read 2 more answers
4) Find the slope of the following<br> graph.<br> у<br> -2<br> o<br> B
Strike441 [17]

Answer:

-6/13

Step-by-step explanation:

7 0
3 years ago
Solve for b.<br> 35b=14<br> Simplify your answer as much as possible.
ELEN [110]

Answer:

b=2/5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • How do i find an angle that is complementary to theta?<br><br> ...?
    14·1 answer
  • Please explain to me what the Law Of Syllogism is. 100pts... Explain it well please...
    5·2 answers
  • Gamal is buying ham and turkey to make sandwiches for a party. At most, he can spend $50, and he must buy more than 8 pounds of
    13·2 answers
  • Need help on 22 a,b,c&amp;d<br> Need answers now! Help
    8·1 answer
  • How do I this question?
    11·1 answer
  • NEED HELP MULT CHOICE
    6·2 answers
  • Some one help please
    11·1 answer
  • You have at most 30 games on your smart phone. write an inequality that represents this situation.
    7·1 answer
  • How can you tell which end of a worm is his head
    5·1 answer
  • How do I do this problem
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!