In a triangle ABC, angle A = 30°, angle B = 60°, and side AB = 5 cm. Find the length of side BC.

As they entered the hall, they were greeted by the sight of rows of tables, each with a single sheet of paper containing the Olympiad questions. The students took their seats, and the proctor began to explain the rules.

When the final round ended, the students submitted their papers, exhausted but exhilarated. They knew they had given their best, and now it was up to the judges to determine the winners.

Here are some sample answers to the Olympiad problems:

Daily profit = 250 loaves * 0.50 USD/loaf = 125 USD Weekly profit = 125 USD/day * 7 days = 875 USD

Using the Law of Sines: BC / sin(A) = AB / sin(C) BC = AB * sin(A) / sin(C) BC = 5 * sin(30°) / sin(90°) BC = 5 * 0.5 / 1 BC = 2.5 cm

What is the value of x in the equation: 2x + 5 = 11?