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
vova2212 [387]
3 years ago
6

How do you do this question?

Mathematics
2 answers:
beks73 [17]3 years ago
8 0

The length of a circular arc (s) is the product of the circle's radius and the central angle measure in radians.

... s = r·θ

Then the central angle measure in radians is ...

... θ = s/r

For your problem, you have s = 8π/9 and r = 1. Then the central angle AOC is

... ∠AOC = (8π/9)/(1) = 8π/9 . . . . radians

The relationship between radians and degrees is

... 180° = π radians

Multiplying this equation by 8/9 will tell us the degree measure of ∠AOC.

... 8/9×180° = (8/9)×π radians

... ∠AOC = (8/9)·180° = 160°

We know that this is the sum of the two (equal) central angles ∠AOB and ∠BOC, so we have

... 2×∠AOB = 160°

... ∠AOB = 160°/2 = 80°

_____

Here, you know that 8π/9 is the central angle <em>in radians</em> because the ratio of arc length to radius is the angle <em>in radians</em>.

Hitman42 [59]3 years ago
4 0

The central angle corresponding to AOB is half of the 8pi/9 radians mentioned, meaning that the central angle of AOB is 4pi/9.

Converting that to degrees:

4pi/9 180 degrees

-------- * -------------------- = 80 degrees.

1 pi

You might be interested in
A rectangular prism that’s sides are all the same size is a cube. True or false?
matrenka [14]
This is true. next one pls
4 0
3 years ago
Read 2 more answers
In a collision, a 5 kg mass moving at 2m/s transfers all of its momentum to a 1 kg mass. What is the velocity of the 1kg mass af
statuscvo [17]
Answer:
velocity = 10 m/sec in the same direction as the first body did

Explanation:
The momentum of the body can be calculated as follows:
momentum = mass * velocity

For the first body, we have:
mass = 5 kg
velocity = 2 m/sec
momentum = mass * velocity
momentum = 5 * 2 = 10 kg.m/sec

We know that this momentum is transferred completely to the second body

For the second bode, we have:
momentum = 10 Kg.m/sec
mass = 1 kg
momentum = mass * velocity
10 = 1 * velocity 
velocity = 10/1
velocity = 10 m/sec

Finally, we should get the direction of the motion:
Both the velocity of the first and second bodies have positive values. Therefore, the second body is moving in the same direction as the first body did.

Hope this helps :)
6 0
3 years ago
Read 2 more answers
Sin^2(x/2)=sin^2x <br> Find the value of x
Veronika [31]
\sin^2\dfrac x2=\sin^2x
\dfrac{1-\cos x}2=1-\cos^2x
1-\cos x=2-2\cos^2x
2\cos^2x-\cos x-1=0
(2\cos x+1)(\cos x-1)=0
\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}

The first case occurs in 0\le x for x=\dfrac{2\pi}3 and x=\dfrac{4\pi}3. Extending the domain to account for all real x, we have this happening for x=\dfrac{2\pi}3+2n\pi and \dfrac{4\pi}3+2n\pi, where n\in\mathbb Z.

The second case occurs in 0\le x when x=0, and extending to all reals we have x=2n\pi for n\in\mathbb Z, i.e. any even multiple of \pi.
6 0
3 years ago
The the degree of 3x*5y*2
Dahasolnce [82]

Answer:

The degree of the given expression is 2

3 0
3 years ago
What part of 72 is 12? Without decimals.
Naya [18.7K]
1/6 part of 72 is 12
3 0
2 years ago
Other questions:
  • Someone please help me with this!!!
    6·1 answer
  • A jar contains 133 pennies a bigger jar contains 1 2/7 times as many pennies what is the value of the pennies in the bigger jar
    11·1 answer
  • What's the area of a circle with the diameter of 7m? (use 3.14 as pi)
    15·1 answer
  • Help!! I’ve tried solving this multiple different way.
    11·1 answer
  • Need help please answer
    14·2 answers
  • Ariel weighed an object on her balance and recorded a mass of 24.3 grams. Her teacher told her that there was obviously somethin
    13·1 answer
  • What does 5.9E4 mean?
    8·2 answers
  • Sorry about the x on 1 of the answers but can someone help?
    11·2 answers
  • What is the surface area?<br> 5 mm<br> 4 mm<br> 5 mm<br> 6 mm<br> 7 mm<br> square millimeters
    5·1 answer
  • PLEASE HELP!!! A $950 computeris on sale for 15% off. If sales tax is 6% will this computer cost including tax?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!