You can show that 
by constructing a triangle.
Take two points, O(0, 0) and A(1, 0), and let B be the point on the unit circle such that the angle between the line segments OA and OB is 
radians.
Since both A and B lie on the circle, the line segments OA and OB both have length 1 (same as the circle's radius). We finish constructing the triangle by connect A and B.
Since OB and OA have the same length, triangle OAB is isosceles, but more than that, it's also equilateral. Why? Because the interior angles of any triangle always add to 
radians. We know one of the angles is radians, which leaves a contribution of 
radians between the remaining angles A and B. Angles A and B must be congruent (because OAB is isosceles), which means they also have measure radians.
Next, draw an altitude of the triangle through point B, and label the point where it meets the "base" OA, C. Since OAB is equilateral, the altitude BC is also a perpendicular bisector. That means OC has length 
, and by definition of 
we have
Answer:
C(m) = 0.10x + 41
Step-by-step explanation:
C(m) = 0.10m + 41
Answer:
50 degrees
Step-by-step explanation:
All three angles in a triangle add up to 180 degrees. If you know the measure of two angles, add them together and subtract the sum from 180.
45+85=130. Then, subtract 130 from the total, or 180. 180-130=50. The measure of the third angle of the triangle is 50 degrees.
Answer:
86 milkshakes and 63 ice cream were sold
Step-by-step explanation:
Let the amount of milkshake sold be x
Let the amount of ice cream sold be y
If she sold 149 milkshakes and ice cream cones then;
x+y = 149 ... 1
If the milkshakes sold for $4 and the ice cream cones for $3, with total amount #533 collected then;
4x + 3y = 533 ....2
Solve both equations simultaneously
x+y = 149 ... 1 * 4
4x + 3y = 533 ....2 * 1
________________________
4x+4y = 596
4x+3y = 533
Subtract
4y-3y = 596-533
y = 63
since x +y = 149
x+63 = 149
x = 149 - 63
x = 86
Hence 86 milkshakes and 63 ice cream were sold
