Geometry Questions

9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 What is the rule for the transformation from the smaller polygon to the larger polygon O A x y x y 3x 3y OB x y 2x 2y O C x y x y OD x y x y X

Solve for x in the following equation OA 7 O B 72 O C 14 C 14 2x 3

What is the scale factor for this dilation O A OB 1 1 20 1 O C D y 2 9 8 7 6 5 4 3 2 In the dilation shown above the dark colored figure represents the original image and the light colored figure represents the resulting image 0 1 2 3 4 5 6 7 8 9 X

A single six sided die is rolled twice What is the probability of rolling an odd number on the first roll and an even number on the second roll O A B 12 O c 1 4 O D 1 36

Amanda and Steve are preparing for a party Amanda buys flowers from a florist and Steve buys groceries from a supermarket Are the two events dependent or independent Justify the answer The two events are independent because the flowers that Amanda buys affect the groceries that Steve buys The two events are dependent because the flowers that Amanda buys affect the groceries that Steve buys O C The two events are independent because the flowers that Amanda buys do not affect the groceries that Steve buys O D The two events are dependent because the flowers that Amanda buys do not affect the groceries that Steve buys A B

0 S F 25 U AHGE 60 G 35 84 H T

Find the missing length indicated 1 5 6

3r D If tan 0 37 2 a sin 20 FORMULA IS BELOW sin 20 2 sin 8 cos 24 37 find the exact value of each of the following a sin 20 on an exact answer using radicals as needed

37 You want to find this angle 1874 mi You need to find this Discuss within your group 28 Show Transcribed Text Solve the problem for any wind speed and angle Use w for the wind speed and theta for the wind angle Describe but do not try to solve what we would need to do if the

Use the power reducing formulas to rewrite cos 5x in terms of the first power of cosine Simplify your answer as much as possible To indicate your answer first choose one of the four forms below Then fill in the blanks with the appropriate numbers o o o cos 5x cos x cos cos 5x cos x cos cos sx cos x cos 5x cos x OJO 8 X S

A pole leans away from the sun at an angle of 6 to the vertical When the elevation of the sun is 54 the pole casts a shadow 43 ft long on level ground How long is the pole The pole is ft long Round to the nearest foot as needed

ot the complex numbers 3 1 and 1 2 in the complex plane Re X

Select the graph for each system of inequalities below 16 70 4x 4y28 2x ys l A D C B E

Using only the unit circle definition of the sine function find the solution set of the inequality on the given interval 2 2 2 sin x on 0 2x Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is the interval Type your answer in interval notation Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression Os OB The solution set is Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed There is no solution

Find the trigonometric ratio by referring to the figure cot a cot a 30 24 B

25 A plane is steering at S83 E at an air speed of 550km h The wind is from N70 E at 85km h Find the ground velocity of the plane to 1 decimal and include a proper diagram 5 Marks

Question 18 5 two and 2 with multiplicity one There is an ellipse with equation given below x 4 y 16 1 I what are the coordinate of the two foci O none of these answers Question 19 O 0 3 46 and 0 3 46 O 3 46 0 and 0 3 46 O 3 46 0 and 3 46 0

3 46 0 and 0 3 46 O 3 46 0 and 3 46 0 Question 19 Write equation of a line that goes through points 2 3 and 1 5 none of these answers O y 2x 7 Oy 2x 5 O y 2x 5 Question 20 finding the end behavior

In the following figure the smaller triangle is the image of the larger triangle under a dilation centered at point O Find the scale factor and the length of x and y as pictured scale factor Tyne an integer or a simplified fraction Z 18 The numbers and letters represent the leng the sides of the triangles

The design for a painting of a farm scene is 12 x 9 The artist wants to transfer this design to the side of a building What is the largest possible complete design that can be painted on a 24 x 16 wall

The figure describes a dilation with center O and image in bold Find the scale factor and the lengths designated by x and y S K E 6 20 16

A rectangular box with no top and two intersecting partitions is to be constructed from 363 square inches of cardboard see the figure Find the dimensions that maximize the volume The dimensions of the base of the box are Llso a to no inches Patoka BRAVERSE POREMNGEVEERIFE SEINAPANE TELAT

May 05 7 42 21 AM A parabola can be drawn given a focus of 10 6 and a directrix of x 2 Write the equation of the parabola in any form

Find the angle of taper on the steel bar shown if it is equal to twice m The angle of taper of the steel bar is Round to the nearest minute as needed www 25 0 mm m 22 5 mm

14 Anna and Sanjay are playing a board game with the spinner shown below Each section of the spinner has a number 1 2 3 4 and a color R red Y yellow G green B blue 3 B 4R work Ans 1 G work Ans work 3 Y 4 Y 2G 2R 4B 1B 1R 3 G 3 Y 2Y 1R 2B 4 G a What is the probability that the spinner will land on a green section 1 pt b The spinner is spun and the color is recorded The spinner is then spun a second time and the number is recorded Are these events independent or dependent Explain your answer 2 pts c The spinner is spun and the color is recorded The spinner is then spun a second time and the number is recorded What is the probability that the spinner will land on a yellow section first and the number 2 second 3 pts

11 The numbers 1 15 are written on cards the cards are shuffled and one is selected at random Event A is drawing an even number Event B is drawing a multiple of 3 a Find the probability that the number drawn is an even multiple of 3 1 pt work Ans b Find the probability that the number drawn is an even number or a multiple of 3 1 pt work Ans c Find the probability that the number drawn is an odd number 1 pt

13 Travis s collection of DVDs contains 14 comedies 12 dramas and 10 action movies Hel wants to select two movies at random without replacement work Ans work Ans a Find the probability of selecting two comedies 3 pts b Find the probability of selecting two dramas 3 pts

b cos2x 3cosx 4 Find all solu cos 2 x sin 2 x 300

10 One card is randomly drawn from a deck of 52 cards What is the probability of getting a Jack or a King 3 pts

6 Heather flips a coin 8 times and gets heads 5 times What is the experimental probability of getting heads 1 pt

Determine if the following scenarios are mutually exclusive or overlapping Explain your reasoning 2 pts each 7 You are taking a multiple choice test Event A is you choose the correct answer Event B is you choose D as the answer 8 You survey students in your school about what grade they are Event A is the person is a senior Event B is the person is a junior

9 One card is randomly drawn from a deck of 52 card What is the probability of getting a Jack or a Spade pts

4 Explain the difference between experimental and theoretical probability Give an example of each 4 pts

5 What is the theoretical probability of getting heads 1 pt

2 A six sided die is rolled What is the probability that a number greater than 4 is rolled 1 pt

and each measure 4 LO 5 B 10 X D

Find each measure GK FL X x 2 K x 4 x 8 G H

Transform Quadrilateral DEFG by rotating the image 90 Counter Clockwise around the origin 0 0 to create the image of Quadrilateral D EF G A minimum of 4 points at the new vertices must be graphed you may connect the dots but it is not required because the drawing tool is not as accurate as we d like it to be x Clear Undo Redo 5 4 3 2 1 YA 6 54 32 2 1 1 2 3 D G E 2 3 4 5 6 7 F Ax X

73 3 points Given cos 2a and 2a is in quadrant I find exact values of the six trigonometric functions Note You are not allowed to use decimals in your answer sin a cos a tan a csc a sec a cot a

Find the identical expression for the following 4 Cos 0 1 1 cos 0 cos 0 Hint consider the numerator as a difference of squares sin 8 tan 8 cos 8 2 sin e 2 cos 0

O is the center of the regular dodecagon below Find its perimeter Round to the nearest tenth if necessary 20 0

Question 4 of 10 The circle below is centered at the point 3 1 and has a radius of length 2 What is its equation 5 10 5 OD x 1 2 y 3 2 10 OA x 3 2 y 1 22 OB x 3 2 y 1 4 OC x 1 2 y 3 4 SUBMIT

Write an equation for the translation of y 26 x 0 and y 4 27 x 2 and y 3 TEM 29 Construction The weight Pin pounds that a beam can safely carry is inversely that has the given asymptotes See 28 x 4 and y 8 See

Answer each question below Estimate any irrational answers to one decimal place 3 Find the magnitude and direction angle of p 12i 23j 60 4 Find the unit vector that s in the same direction as q 12i 5j 60

Ci 10 5 0 5 T I 5 27 S 10 T X 15 Graph f x logx by finding 4 points and the asymptote AFTER you have plotted your points and asymptote press Check my graph CHECK MYOINTS If your points were not accurate make corrections to your written work

Write a quadratic function in STANDARD FORM whose graph satisfies the given conditions 7 a Passes through the points 4 0 3 0 2 18 b Passes through the points 1 0 5 0 3 16

g x x x 6

3

Several different kinds of cheese are for sale The cheese comes in wedges shaped like sectors of the wedges are the same height 6 7B Mai bought a wedge with a central angle of 45 degrees and a radius 10 inches What is the area of the top surface of this wedge

Let sinA 12 13 with A in QIV and cosB 3 5 with B in QI Answer exactly