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AFM - Quarter #2 - Test #1 - STUDY GUIDE - Part 2 Short Answer Regressions 1. The data below represents the relationship between the number of incidences of UFO sightings in late 1930s and early 1940s. Use the ordered pairs shown below to write a linear prediction equation, rounded to the nearest hundredth. Use the prediction equation to predict the missing value to the nearest hundredth. Year of Incidence Number of Incidences (percent) 193 6 1937 1938 1939 1940 1941 1942 1943 1944 194 5 1946 0.9 0.8 0.8 1.3 1.4 1.2 1.7 1.8 1.6 1.5 ? 2. The data below represents the relationship between the increase in rainfall over a period of twelve months. Use the ordered pairs shown below to write a linear prediction equation, rounded to the nearest hundredth. Use the prediction equation to predict the missing value to the nearest tenth. Months Increase in Rainfall (cm) 1 1.1 2 1.3 3 1.8 4 2.6 5 3.7 6 4.5 7 5.7 8 7.1 9 8.9 10 12.3 12 ? Trigonometry 3. Find the values of the six trigonometric functions for angle , when AC = 10 and BC = 8. 4. Solve ABC by using the measurements , the nearest tenth and measures of angles to the nearest degree. , and . Round measures of sides to 5. A 15-m long ladder rests against a wall at an angle of from the wall? with the ground. How far is the foot of the ladder 6. Find cos 780 7. Solve the given triangle. Round the measures of sides to the nearest tenth and measures of angles to the nearest degree. c = 9.0, B = 40°, C = 65° 8. Determine whether each triangle should be solved by beginning with the Law of Sines or the Law of Cosines. Then solve each triangle. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. a = 20, b = 21, C = 59 9. Determine whether each triangle should be solved by beginning with the Law of Sines or the Law of Cosines. Then solve each triangle. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. A = 75 , b = 8, a = 13 10. Find the exact value of the function sin 610 . 11. Find the amplitude, if it exists, and period of the function. Then, graph the function. y = 5 cos 12. State the amplitude, period, and phase shift for the function. Then, graph the function. y = 6 cos ( 90 )