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Find the area of the sector of a circle with diameter 30 feet and an angle of 5% radians. Round your answer to four decimal places. 3 A = Home? ft Show your 1work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. 1-.-; BIQSXEXE Styles V Font V Size V Use Figure 1 to evaluate the trigonometric function. 3 B 10 Figure 1 Enter the exact answer. a sin (a) ? tan A = Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. A -A- BIUSX X Styles Font SizeFind the exact value of sin sin (a) ? /2 2 sin Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. Equation Editor A- A- IX BIUSX X Styles Font SizeUse reference angles to evaluate sec ( 137 ) Enter the exact answers. For the number 7, either choose 7 from the bar at the top or type in Pi (with a capital P). The reference angle is a sin (a) 5 - 13 x 4 sin (a) ? sec 137 4 = Show your work and explain, in your own words, how you arrived at your answer. Answers withIf tant = to/0 , what is tan (t - )? Enter the exact answer. ab a sin (a) III 9-12 2 tan (t - 7) = Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. Q > Editor A-A-Ix BIUSX x Styles Font SizeFor the function f (x) = -2sin (x - 34 " ); determine its amplitude and period, and then graph it for two periods. Enter the exact answers. For the number 7, either choose a from the bar at the top or type in Pi (with a capital P). Amplitude: A = Number va a sin (a) Period: P = Using your answers for the amplitude and period, select the correct graph of the function f (x) = -2sin x - 31 2 )Show your work and explain, in your own words, how you arrived at your answers. Explain how you used your answers for the amplitude and period in selecting your graph. Answers with no relevant explanations may receive reduced or no credit. Equation Editor A - A- IX BIUSX X Styles Font SizeConsider the function f (x) = 2 (cos (2 - 37 ) + 2 ) . Determine its amplitude, period, and midline. Enter the exact answers. For the number 7, either choose 7 from the bar at the top or type in Pi (with a capital P). Ampliude: A = Number a sin (a) ? Period: P = Midline: y = Number Show your work and explain, in your own words, how you arrived at your answers. Answers with no relevant explanations may receive reduced or no credit. Q > Equation A - A - BIUSX X Styles Font SizeFor the function f (x) = 3 cot x determine its stretching factor and phase shift, and then graph it for two periods. Enter the exact answers. Stretching factor = Number Phase shift: Click for List Using your answers for the stretching factor and phase shift, select the correct graph of the function f (x) = 3 cot r. 101, 8- 6- 2 O 3 1 3 1 14 2 4 -2 -4-10 O 3 1 4 4 -2 4 -4 -6- -8 10 10- y 2. O X -21 3n 1 2 3x1/2 n 12 -4 -8 -10 10 2 O X 3 It 3x 2 1 NaShow your work and explain, in your own words, how you arrived at your answers. Explain how you used your answers for the stretching factor and phase shift in selecting your graph. Answers with no relevant explanations may receive reduced or no credit. EU\" [Ent'nLEIQEE ale-=25; If a loading ramp is placed next to a truck, at a height of 6 feet and the ramp is 21 feet long, What angle {in degrees] does the ramp make with the ground'.1 Round your answer to one-tenth of a degree. The ramp makes an angle of LI"1I:er degrees with the ground. Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. 2.\" [sonata Styles V Font V Size V 3 2 Use basic identities to simplify sin a: + cos arsinm. Enclose arguments of inctions in parentheses. For example, 3111(233). Remember that writing sintxl to the fourth power as sin4 [33) is just a mathematical shorthand. You should write it as [sin (55)}4 which is what Mobius expects. ab sintin] ac a D1\" 9 3 2 sin x+cos :rsinatz @ Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. 2|] 3: ll: [7i [3| '1 2': i: 1-: 2: i :5 E E 9 E1. i' I' L B I Q 5 Xe XE Styles ' Font ' Size ' Rewrite Sin (a: + %) in terms of Sin a: and cos :c. Simplify your answer. Enclose arguments of functions in parentheses. For example, 3111(233). Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. A cylinder contains oxygen at a temperature of 310 degrees K and a pressure of 18 atmospheres in a volume of 120 liters. Find the pressure if the volume is decreased to 100 liters and the temperature is increased to 320 degrees K. Round your answer to two decimal places. The pressure is -I._.-*'::=er atmospheres. Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit