Answer:

Step-by-step explanation:
If AB is tangent to the circle, then angle ABO is right angle and triangle AOB is special
triangle. In this triangle, the leg that is opposite to the angle of 30° is half of the hypotenuse. Thus,

By the Pythagorean theorem,

Answer:
31/35
Step-by-step explanation:
= 62/70
= 62 ÷ 2/70 ÷ 2
= 31/35
Answer: B
Step-by-step explanation: B
Answer:
48% were carrot sticks.
52% were apple slices.
Step-by-step explanation:
Given that:
Total number of snacks in the tray = 25
Number of carrot sticks = 12
Number of apple slices = 25 - 12 = 13
Percent of carrot sticks = 
Percent of carrot sticks= 
Percent of carrot sticks = 0.48 * 100 = 48%
Percent of apple slices = 
Percent of apple slices = 52%
Hence,
48% were carrot sticks.
52% were apple slices.
Rewriting the left hand side,
csc²t - cost sec t
= (1/sin²t)-(cost)(1/cost)
= 1/sin²t - 1
= 1/sin²t - sin²t/sin²t
= (1-sin²t)/sin²t
= cos²t/sin²t
= cot²t