Directions: Please help with the following visual questions.

For the multiple choice ones you can simply show the answer to save time however please provide WORK for my understanding for the non-multiple choice questions!

Note: THIS ISNT FOR AN ASSIGNMENT BUT MERELY FOR MY OWN UNDERSTANDING AND COMPREHENSION! PLEASE BE ORGINAL! THIS IS FOR PRACTICE.

An acute angle, 0, is in a right triangle such that sing = col co What is the value of cot 0? O V55 3 O 3 /55 O V55 Determine the angle between 0 and 2n that is coterminal with 3 O O 3 O 3 O 3In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer. Spectator 110 140 yds, Golfer Hole 200 yds. If the spectator has an angle of 110" between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole? O 70.0 O 41.19 O 28.9 19.90 If meA = 72%, maB = 320, and c = 8, what are the measures of the remaining sides and angle? Om C = 76', a = 7.84, b = 4.37 OmeC = 76', a = 3.59, b = 7.79 Om C = 76', a = 4.37, b =7.84 OmeC = 76', a = 7.79, b = 3.59 How many possible triangles can be created if m/B= *. c = 10, and b = 5? 1 triangle O2 triangles 0 triangles O Cannot be determined based on the given information Given AABC, what is the measure of b? 10 53* Ob = 2.899 Ob - 8.565 Ob = 10.619 Ob = 11.690Two weather stations are aware of a thunderstorm located at point C. The weather stations A and B are 34 miles apart. C 219 530 A B How far is weather station A from the storm? 28.2 miles O 38.6 miles 59.9 miles 98.5 milesOf (n) =n+- 1 2 + 1 Of (n ) = 4-2 Of ( n) = 3+- Of (n) = 3+ - 1 2 +n The figure shows the first three in a sequence of squares. The first square in the sequence has a side length of 3 units, and each square after that has a side length that is 2 units longer than the previous square. What is the explicit equation for f (n) that represents the areas of the squares in the sequence? Of (n) = 2(n - 1)2 + 3 Of (n) = (3 + 2(n - 1))2 Of (n) = (3 + 2n)2 Of (n) = 3n2 At a bowling alley, the cost of shoe rental is $2.75 and the cost per game is $4.75. If f (n) represents the total cost of shoe rental and n games, what is the recursive equation for f (n)? Of (n) = 2.75 + 4.75 + f (n - 1), f (0) = 2.75 Of (n) = 4.75 + f (n - 1), f (0) = 2.75 Of (n) = 2.75 + 4.75n, n > 0 Of (n) = (2.75 + 4.75)n, n > 0Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (27, 0) and an eccentricity of 13 O (X+ 14) 144 269 O (X+ 14) 25 269 O (x-14) = 1 269 144 O (x -14) 25 = 1 269 A tunnel is constructed with a semielliptical arch. The width of the tunnel is 70 feet, and the maximum height at the center of the tunnel is 20 feet. What is the height of the tunnel 10 feet from the edge? Round your answer to the hundredths place. O 19.17 feet O 16.41 feet O 14.01 feet O 10.30 feetGiven sec & = 3 what is cos? O O 2 O 3 O2A pool is built in the shape of an ellipse, centered at the origin. The maximum vertical length is 30 feet, and the maximum horizontal width is 14 feet. Which of the following equations represents the pool? O + = 225 49 O + = 1 225 49 O + = 1 900 196 O + = 1 900 196Given cos(X) = -, what is the value of cos(x + 1)? O 2 O O NI - O