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Two sides and an angle are given. Determine the number of triangles the given information results in. For triangle ABC, if a = 9, b = 11, and B = 48°, the following is true.

Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit. Point C is 45 feet from point A and 75 feet from point B. The angle ACB is 59°. How far apart are points A and B?

In triangle ABC, if a = 9, b = 16, and c = 18, find the measure of the largest angle.

Solve the right triangle using the information given. Round answers to two decimal places, if necessary.a = 8, b = 5; Find c and β.

A room in the shape of a triangle has sides of length 6 yd, 9 yd, and 14 yd. If carpeting costs $14.50 a square yard and padding costs $5.25 a square yard, how much to the nearest dollar will it cost to carpet the room, assuming that there is no waste?

Complete the identity.sin (A + B) – sin (A – B) = ?

In triangle ABC, if A = 96°, B = 31°, and a = 7.14 meters, find the length of side c.

In triangle ABC, if A = 96°, B = 33°, and a = 7.14 meters, find the length of side c.

What kind of hazard does branch prediction mitigate? (6 points)  

According to the superstition story Mr. Wise relayed in Chapter 14 lecture, what should you NOT do while onstage under a fly rail system, lest a batten may be released onto your head? _______