To find the length of the arc given the central angle, multiply (the fraction of the angle of the full circle, 360°, that the central angle, 120°, makes up)*(the total circumference of the circle). You're basically finding the fraction of the circumference that is covered by the central angle, if that makes any sense.
So the central angle makes up
the entire circle. You are given that the circumference of the circle is 18. Multiply the fraction of the full circle that the central angle makes up (
) by the circumference of the circle:
The length of your arc is 6.
Let me know if you're confused b/c my explanation isn't the greatest :) I'll try to explain it better if you don't understand.
Answer:
About 53.13 degrees.
Step-by-step explanation:
If we draw the path of the hiker, or rather, all three vectors with vector B having its starting point at the end point of vector A, a right triangle is formed. We will most likely be using trigonometric functions to solve this.
vector A is parallel to the x axis (West - East), and vector B is perpendicular, so we'll be using the inverse tangent function to get the angle based on the ratio of the lengths of vector B to vector A, which is 
atan
degrees.
If one would be pedantic, they'd say that the direction we have to go to get from vector C to vector A is clockwise, which is anti-mathematical, the true answer would be -53.13 degrees. Alternatively, whatever 360-53.13 is.
Answer:
A) JK and AB =
![[tex] \boxed{( \theta) = \f{12}{( \theta)} }](https://tex.z-dn.net/?f=%5Btex%5D%20%5Cboxed%7B%28%20%5Ctheta%29%20%3D%20%5Cf%7B12%7D%7B%28%20%5Ctheta%29%7D%20%7D)
So, =》 
=》 
[/tex]
B) AABC
![[tex] \boxed{( \theta) = {1}{( \theta)} }](https://tex.z-dn.net/?f=%5Btex%5D%20%5Cboxed%7B%28%20%5Ctheta%29%20%3D%20%7B1%7D%7B%28%20%5Ctheta%29%7D%20%7D)
So, 
C) AABM:
![[tex] e \fbox{: }](https://tex.z-dn.net/?f=%5Btex%5D%20e%20%5Cfbox%7B%3A%20%7D)
The value of k for which 
is 
ans[/tex]
----------
Answer:
2
Step-by-step explanation:
Since the equation is in y=mx+b form, the y-intercept can easily be identified by just looking at it.
Knowing that b is the y-intercept and m is the slope. Any number in place of these variables are y-intercept and slope respectively.
That being said, the y-intercept is 2.
Answer:
23/90
Step-by-step explanation:
- 55/90 + 12/90 = 67/90
- 90 - 67 = 23
- 23/90
23/90 balls are green or white
i hope this helps!
