Answer: 46
Step-by-step explanation:
Start with the equation of a circle whose center is at (h,k) and whose radius is r:
(x-h)^2 + (y-k)^2 = r^2
Substituting the given coordinates of the center:
(x-5)^2 + (y-[-5])^2 = r^2, or (x-5)^2 + (y+5)^2 = r^2
Substituding the given coordinates of a point (6,-2) on the circle:
(6-5)^2 + (-2+5)^2 = r^2
Simplifying:
1^2 + 3^2 = r^2, or 1 + 9 = r^2, or 10= r^2. Then r = sqrt(10).
Silver stars are worth 2 and gold stars are each worth 5
1. use sin
inverse of sin(44/57) = 50.5 ---> 51°
2. use tan
inverse of tan(6/8) = 36.8 ---> 37°
3. use cos
inverse of cos(20/31) = 49.8 ---> 50°
4. use sin
inverse of sin(37/58) = 39.6 ---> 40°