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Determine whether a triangle can be formed with the given side lengths. If so, use Heron’s formula to find the area of the triangle. a = 240b = 121c = 302 (5 points)

Express the complex number in trigonometric form. -4i (5 points)

According to basic activity recommendation (CDC, WHO), at minimum how many minutes of moderate activity per week should an adult strive to achieve? 

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 50°, b = 31 ft, c = 18 ft (5 points)

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. B = 46°, a = 12, b = 11 (5 points)

State whether the given measurements determine zero, one, or two triangles. B = 84°, b = 28, c = 25 (5 points)

Let u = , v = . Find -2u + 4v. (5 points)

State whether the given measurements determine zero, one, or two triangles. A = 58°, a = 25, b = 28 (5 points)

Find a ⋅ b. a = 9i – 6j, b = 5i + 5j (5 points)  

The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used. B = 137°, c = 6, b = 11 (5 points)