A couch and coffee table cost a total of $1167. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

What is the area of the shaded sector?

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.