2D Geometry Questions and Answers
College Geometry
2D Geometry0 38 If the measure of angle A is 75 and the measure of angle C is 25 in a triangle ABC what is the measure of angle B
College Geometry
2D GeometryA window has the shape of a parabola above and a circular arc below Find the area of the window 10 7 10 ft 6 34 Use the dotted line as your y axis and the solid gray line as the x axis Find the distance from the z axis to the top of the circle Write the equation of the circle Write the equation of the parabola feet
College Geometry
2D GeometryFind the value of each variable Express in simplest radical for 5 14 X ly
College Geometry
2D GeometryFind the value of each variable Express in simplest radical form 1 30 60 30 X y
College Geometry
2D GeometryFor both of the following problems identify the function whose level curve is the surface described and use it to solve the integration problem a Integrate f x y z 22 over the hemisphere given by the equation x y z 4 for z 0 Hint If you choose the circle x2 y 4 as R note that z 0 in R and plug that into the integral in that instance Answer 0 b Integrate f x y z x y z over the portion of the plane 2x 2y z 2 that lies within the first octant which means x y z 0 Hint If you choose the triangle in the x y plane as R note that 20 here so you can plug that into f in that instance Answer 1
College Geometry
2D GeometryA rapid transit service operates 189 trains along five routes A B C D and E The number of trains assigned to each route is based on the average number of daily passengers per route given in the following table Use Webster s method to apportion the trains The standard divisor is 58 13 Route A B C D E Average Number of Passengers 1098 1349 1548 1514 5478 Route Number of apportioned trains A
College Geometry
2D GeometryFor each of the following graphs obtain a lower bound L A for the area enclosed by the curve by adding the areas of the squares enclosed completely by the curve Then obtain an upper bound U A for the area by adding the areas of the squares enclosed either partially or completely by the curve Notice the squares in the first graph are 1 by 1 squares and the squares in the second graph are 1 2 by 1 2 squares a L A b U A 2 1 0
College Geometry
2D Geometry2 In the adjacent figure x xOy is an angle Ox B C perpendicular to Ox and Oy perpendicular to O Oy A is a point of Ox and B is a point of Ox such that OA OB C is a y X point of Oy and D is a D point of Oy such that OC OD 1 Compare angles AOD and BOC 2 Prove that AD BC y 3 points 3 points
College Geometry
2D GeometryFind an equation for the conic section with the given properties The ellipse with vertices V1 1 9 and V 2 1 11 and foci F1 1 7 and F2 1 9
College Geometry
2D GeometryTwo golf balls are hit into the air at 80 feet per second 60 mi hr making angles of 39 and 53 with the horizontal If the ground is level estimate the horizontal distance traveled by each golf ba The ball hit at 39 travels about feet Round to the nearest integer as needed
College Geometry
2D GeometryGiven ABCD is a parallelogram BEAC and DF 1 AC Prove ABEC ADFA Step 1 try Statement ABCD is a parallelogram BE AC DF 1 AC Type of Statement B E F C Re Gi
College Geometry
2D GeometryRon Prentice bought goods from Shelly Katz On Sept 12 Shelly gave Ron a time extension on his bill by accepting a 2 700 8 190 day note On Dec 16 Shelly discounted the note at Roseville Bank at 8 Use Days in a year table What proceeds does Shelly Katz receive Note Use 360 days a year Do not round intermediate calculations Round your answer to the nearest cent Proceeds received
College Geometry
2D GeometryThe capacity of an elevator is either 20 children or 15 adults If 14 children are currently in the elevator how many adults can still get in Your AncwoK
College Geometry
2D Geometryse the method of cylindrical shells to find the volume generated by rotating the region bounded by y e y 0 x 0 and x 1 about the y axis olume
College Geometry
2D GeometryThe graph of y f bx is a horizontal compression of the graph of y f x if b The graph of y f bx is a horizontal compression of the graph of y f x if b 1
College Geometry
2D GeometrySimplify Express your answer as a single fraction in simplest form X 5x 33x 10 6x 10
College Geometry
2D GeometrySimplify Express your answer as a single fraction in simplest form 3 2 2 3w 2w 14
College Geometry
2D GeometrySimplify Express your answer as a single fraction in simplest form z 4 7z 6z 7
College Geometry
2D GeometrySimplify Express your answer as a single fraction in simplest form 2c C 2 C 2 c
College Geometry
2D GeometrySimplify Express your answer as a single fraction in simplest form P 2p 12p 24 4p 8
College Geometry
2D GeometrySimplify Express your answer as a single fraction in simplest form b 5b b 2
College Geometry
2D GeometrySimplify Express your answer as a single fraction in simplest form a 9 a 10
College Geometry
2D GeometryDetermine the number and type of solutions of a quadratic funct B Determine the a coefficient of a quadratic function Calculate the y intercept of a parabola
College Geometry
2D Geometry6 Solve using the quadratic formula 2 8z 7 There are four parts to this questions labeled A D Part A Write the given equation in the form ar b c 0 Part B Identify the values of a b and c a Part C C Evaluate the discriminant 2 4ac Enter the value of the discriminant Because the discriminant is Part D there solutions Substitute values into the quadratic formula and solve round answers to the nearest hundredth The exact solution s in simplest radical form are x 2a and the approximate solutions are x and x
College Geometry
2D Geometry5 Solve using the QUADRATIC FORMULA SMALLEST NUMBER FIRST ROUND TO THE NEAREST HUNDREDTH 4x 4 z H
College Geometry
2D Geometry5 Solve the quadratic equation by completing the square x 4x 3 0 Ax 2 7 6 x 2 7 x 4 7 D x 4 7
College Geometry
2D GeometryUse the Quadratic Formula to solve these equations Write your answers as complex numbers in the form a bi x 4x 13 0
College Geometry
2D GeometryWhich of the equations below is the QUADRATIC FORMULA bb2 4ac A x 2a B 62 4ac b c x 2a p q D x 2
College Geometry
2D Geometry14 Use the imaginary number i to match the expressions given in the first column as a complex number Simpify all radicals 16 DRAG DROP THE ANSWER 3i 21 21
College Geometry
2D GeometryFind the sum of the real parts of the complex numbers 22 5i and 10 8i Then find the sum of their imaginary parts Sum of real parts Sum of imaginary parts i
College Geometry
2D Geometry3 a Part A In a direct variation equation y 15 when x 5 Write a direct variation equation that shows the relationship between x and y A y B Y 2838 y 2x Dy 3x b Part B Solve the equation of direct variation to determine the value of y when x 10 y wwwww www