2D Geometry Questions and Answers

For 5 and 6 remember that the bearing is the angle that the line of travel makes with due north 90 measured clockwise 5 An airplane is flying on a bearing of 170 at 460 mph Find the component form of the velocity of the airplane I

Use the accompanying graph of y f x shown to the right to sketch a graph of ea a y f 3x 3 1 b y 3f 3 3 3 c y f x 3 OA O B Q o o O C pc FI

K Determine which ordered pairs x 5y 18 3 3 lect all ordered pairs that s

Two security cameras on a wall are viewing the same object at point Q on the ground The angle of depression from camera T is 24 and the angle of depression from camera N is 44 Camera N is mounted 33 feet above camera T 33 ft 44 24 Q We want to find how far the object Q is from the wall and how high above the ground camera T is positioned Q Let z represent the distance between the wall and object Q and let y represent how high camera T is above the ground Write an equation that uses the tangent function the lengths and y and the 24 angle Be sure to include the symbol when you write your angle 33 tan 44 tan 24 X

13 The graph of a piecewise defined function is given Write a definition for the function that best describes this graph 16 61

18 A roller coaster has a track that drops at an angle depression of 25 from a height of 14 9 m When it reaches the ground in travels horizontally for 8 m It then rises at an angle of elevation of 47 to a height of 26 8 m 5 14 9 m 7 25 32 35 3 25 X 36 47 24 26 8 m a What is the total horizontal distance covered by this portion of track 64 b What is the total distance travelled by a car on this portion of the roller coaster track 79 9

the equation of the polynomial function in the graph below

12 6 Quadric Surfaces Make a labelled sketch of the slices traces of the surface y 2 4 x 2 z 2 1 n the planes and for x 0 2 0 y k k 0 11 12 Then sketch the surface

Problem 54 Match the trigonometric function with one of the graphs I VI 1 f x tan 2 1 2 f x sec 2r 5 f x tanz 3 f x cot 2x 6 f r 1 csc z 4 f x 2 secr MA 11 U mir ith U 0 TI VI P

x 4y 4x y 2 x y x 4 y y 2 x 2 y x 4 y x 2 y x 2 y 4x y x 2 y x 2y x 4 Drag the function given above into the appropriate area below to match the gra A 0 27 G

Poperties that are true for the given geoboard shape The diagonals are perpendicular to each other Opposite sides are parallel Opposite angles are congruent equal Opposite sides are congruent equal Adiacent sides are congruent equal

3 Given AABC AA B C where the opposite sides of angle A B C are labeled as a b c the opposite sides of angle A B C are labeled as a U e respectively do the following problems i If a 5 66 a 12 find ii If a 9 5 c 15 12 9 find b and a

6 If the x axis is translated 10 places up and the y axis 4 places x 4 10 1 changes to which of the following 25 9 A x 4 10 3 9 D 07 07 1 B x 4 5 10 3 E 70 1 E 1 1 C 25 9

2 2b 4b 3 b 5 26 6 5 26 46 3 2b

2 2b 7b 12b 9b 27 2b 3 263 26 3 264 263 1267 15 27 263 465

O GEOMETRY Area between two concentric circles ring shaped region is shown below s inner diameter is 30 in and its outer diameter is 3 30 in 36 in

A ring shaped region is shown below Its inner radius is 9 cm and its outer radius is 14 cm 9 cm M 14 cm Find the area of the shaded region Do not round any intermediate steps Round your answer to the nearest hundredth If necessary refer to the list of geometry form X G

Reasoning Middle School Supplement 4 The Hendersons invest 30 000 in a college fund for their daughter putting 40 in stocks and 60 in gold One year later the stocks have decreased in value by 10 but the gold increased in value by 25 What percentage of the current value of the college fund is in stocks Round final answer to nearest parconf Pe

3 Alice buys 15 000 in stocks The percent change in the value of the stocks is shown for each year for five years What are the stocks worth after five years 1st year 20 2nd year 15 3rd year 9 4th year 4 5th year 25

5 A novel has 220 pages numbered consecutively from 1 through 220 What percentage of these pages have numbers made up completely of odd digits For example pages with numbers made up completely of odd digits are page 7 page 95 and page 173 while pages with numbers not made up completely of odd digits are page 4 page 69 and page 150

9 An equilateral triangle has radius of 8 centimeters Find the length of the apothem Sketch the triangle radius and apothem

1 A parabola has a vertex at 4 5 and also goes through 2 Show work and check with technology

O GEOMETRY Classifying solids Answer the questions about the Figure A Which figure shows a sphere 1 Fig Which figure shows a square pyram

GEOMETRY Volume of a cylinder A grain silo has a cylindrical shape Its radius is 7 5 ft height is 36 ft Answer the parts below Make sure that you use the co units in your answers If necessary refer to the list of geometry formulas a Find the exact volume of the silo Write your ar

Find the volume of the solid 3 mm 5 mm 8 mm 6 mm 14 mm 5 mm 6 mm 0 mm 3

Find the volume of the solid 7 in 8 in 5 in 8 in 3 in 8 in Di in X

may need to send a follow up or thank you message accept or reject a job offer or communicate with your references Some jobs require additional application forms Application forms for jobs with high levels of responsibility may appear to be Read the thank you message and then answer the question about how to revise it Hi Bob Thanks for interviewing me today It was a blast to share stories about mountain biking Catch you soon Lance Kimberly must write a letter to refuse a job offer from Mr Haan What advice would you give Kimberly references tests r sum s O No revision is necessary Use a more professional tone refer to the position you applied for and include specific points that were discussed and are related to your key selling points

apter 14 Apila Assignment Interviews are different for each stage in the hiring process however any interview will have three parts the opening formalities the information exchange and the closing Improve your chances of delivering a successful Interview by understanding the expectations for each part of the interview You have about one minute to make a favorable Impression What common courtesles will help you make a good first impression during the opening of an interview Check all that apply Apply a gentle handshake in order to avoid seeming overbearing Pronounce the Interviewer s name correctly Wait for the interviewer to ask you to be seated Nod very vigorously and often when the interviewer speaks Once the opening formalities are out of the way the information exchange begins During the information exchange portion of the interview what will convince an interviewer to allow you to continue to the next phase of the hiring process O Identifying three areas that the company could improve and motivate employees O Specific evidence about how your qualifications will add immediate value to the company General Information about your experience and a demonstration that you have a positive attitude During the information exchange you will present your key qualifications When presenting your qualifications to an interviewer you should list the key points you want to emphasize intendow question

you get the position you will work under strict deadlines and pressure When you arrive for your interview you are introduced to the Interviewer who immediately looks at his watch Throughout the interview he keeps interrupting you and cutting you off He ridicules your educational background Finally he asks the last question and then interrupts you because he has to run to another meeting How should you handle this interview situation O Continue speaking until you have answered the question Then thank him for his time O Remain composed and thank the interviewer for his time Many companies use series interviews to identify employees who fit the companies culture and style What is common practice in a group Interview Check all that apply Each interviewer asks questions from a different perspective Organizations have applicants meet with key people to determine if the applicant is a good fit Applicants participate in group activities to see how they interact with others The applicant interviews with multiple people in the organization Technology is allowing many businesses to conduct interviews from remote locations What should be your first step in preparing for a virtual interview O Request a preliminary phone conversation with the interviewer to establish rapport Purchase a new laptop that can run Skype and WebEx

Read the scenario about planning your appearance and then answer the question Marcus has a virtual interview with a management consulting firm in another city He will be using his web camera to videoconference with two interviewers and three other applicants for the position Marcus is preparing for his interview What should he wear for the interview O It shouldn t matter streaming video feed is blurry in many cases O Professional attire that reflects what he would wear in person O Something comfortable and casual because it is a virtual interview A job interview may be the most important face to face interaction you have Preparation is important How should you practice discussing your qualifications in a job interview Check all that apply Memorize written responses that you will deliver verbatim if asked about your qualifications Prepare a tape of your responses and listen to it so that you memorize the content

ansform each graph as specified below unction by shrinking or stretching 151 a The graph of y f x is shown Draw the graph of y f 27 A 1 x X 5 b The graph of y g x is shown Draw the graph of y 2g x WT 27 25 E SAY X

Graph the Exponential Function f x 3 2 by plotting the Vertical Intercept and one other point Then write the Vertical Intercept as an ordered pair Graph the function f x 3 2 Identify the Vertical Intercept Ordered Pair 55 3 2 20 19 18 17 16 15 14 13 12 H 10 9 8 7 6 S 4 3 2 Clear All Draw 6

Please show all your work NO WORK NO CREDIT Match equation question type with a graph y y y y x A x B x A 2 x B x A x B x A x B a b d Q Q Q

he bearing of a ship from a lighthouse was found to be N 18 E Aher the ship sailed 9 7 miles due south the new bearing was N 30 E Find the distance between the ship and the lighthouse a nach location The ship began miles from the lighthouse Simplify your answer Type an integer or a decimal Round to the nearest tenth if needed

Refer to the figure below and assume GDL BE Name a pair of complementary angles OZAXG and ZGXF O ZAXB and ZFXE O ZGXA and ZAXC B OZGXF and ZFXE O None of the above C G X D F E

Solve each triangle Round your answers to the nearest tenth 13 P 9 ft 19 ft Q R 14 ft e 14 B 26 in C 26 9 in 20 in A

Find the perimeter and area of the figure pictured below 2 6 m 12 6 m 8 2 m Perimeter 3 1 m m 2 a m

Find the degree measure of the angle with the given radian measure 5A 6

Figure 1 is a rhombus and Figure 2 is a rectangle Neither Figure 1 Which transformation can be used to map Figure 1 onto its itself OA a rotation of 90 clockwise about the center of the

Assume all asymptotes and intercepts are shown and that the graph has no Use the graph to complete the following B a Find all x intercepts and y intercepts Check all that apply X intercept s 0 1 02 None intercept s 02 TO b Write the equations for all vertical and horizontal asymptotes Enter the equations using the and button as necessary Select None as necessary Vertical asymptote s 1 Range None Horizontal asymptote s c Find the domain and range of 7 Write each answer as an interval or union of intervals Domain V P H and 00 X

R G K B If all the graphs above have equations with form y ab Which graph has the largest value for b Select an answer Which graph has the smallest value for b Select an answer Which graph has the largest value for a Select an answer

2 What about the next shape in this pattern Write a conjecture that des

Consider the function g x by a Use a graphing utility to produce a graph of the given function x 6 x 3 Experiment with different windows to see how the graph changes on different scales Sketch an accurate graph by hand using the graphing utility b Give the domain of the function c Discuss interesting features of the function such as peaks valleys and intercepts a Choose the correct graph below The graphs are displayed using a window size of 10 10 1 ABCD 15 15 1 5

A person sitting on a Ferris wheel rises and falls as the wheel turns Suppose that the person s height above ground is described by the following function 1 21 4 19 7 sin 1 21 In this equation is the height above ground in meters and is the time in minutes Find the following If necessary round to the nearest hundredth Maximum height bove the ground meters Time for one complete revolution minutes Frequency of h revolutions per minute

5 4 7 3 4 7 2 9 8 7 6 5 4 3 2 H 41 2 3 5 567 6 7 8 9 10 4 2 3 4 Identify the function whose graph appears above 5

10 9 8 7 6 5 4 3 2 H 55 4 TE 3 4 7 2 4 1 2 234 S 6 64 7 8 9 10 4 2 3 4 Identify the function whose graph appears above f x 5 Q

omplete the following table with EXACT answers CAUTION Watch your signs 6 3 3 4 RIN 2 sint 3 2 2 COST tan L I 3 CSC 1 1 1 lea

hown is a right triangle ABC with semi circles drawn on the diameters of all three sides Prove that area of the triangle is equal to the sum of the areas of the two lunes formed A D 90 B

The figure below shows a rectangular parking lot 87 yd 68 yd a Use the calculator to find the perimeter and area of the parking lot Make sure to include the correct units Perimeter 0 b The lot will be paved Which measure would be used in finding the amount of pavement needed Area O Perimeter O Area c A chain will surround the lot Which measure would be used in finding the amount of chain needed Perimeter O Area yd X

UEVMEINI Distinguishing between the are The figure below shows a rectangular 78 yd 26 yd a Use the calculator to find the perin Make sure to include the correct u Perimeter 0 b Ann will walk around the field Which measure would be used in O Perimeter O Area Area