About 115°
Step-by-step explanation:
- By 2 pi r, total circumference is about 942
- Length of an arc = 2 pi r (theta/360)
- We needed to find theta(angle) here
- Easily putting all the values gives us 115°

It's graph C. because on the first pair of numbers you can see that they both line up with the graph. Also, if you find the pattern between the numbers (x-3 and y-1) the graph C. lines up.
Hoped I helped! :)
Answer: see below
<u>Step-by-step explanation:</u>
I used a coordinate graph and placed the Ticket Booth at the origin (0, 0)
Then I chose a distance of 4 (you can choose any distance) and placed the three events equidistant from the origin by using the x- and y- axis to easily determine a distance of 4 from the origin.
(0 - 4, 0) = (-4, 0)
(0 + 4, 0) = (4, 0)
(0, 0 + 4) = (0, 4)
If the booths are placed first you would need to find the equation of a circle that contains all three points and place the booth at the center.
You do this by creating a system of three equations inputting the x,y coordinates of each booth and solving for h, k, r.
Equation of a circle is: (x - h)² + (y - k)² = r²
Answer:
Law of Cosines
In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles