Geometry Questions

Which of these expressions is equivalent to log 6 7 O A log 6 log 7 OB log 6 log 7 OC log 6 log 7 O D 6 log 7 Aliml

Find the volume of the shaded area When appropriate use the x key on your calculator v L O C wor www 3 ft 7 ft 3 ft

Determine a the volume and b the surface area of the three dimensional figure Use the button on your calculator a The volume of the cylinder is Round to the nearest hundredth as needed 15 in 2 in

Tyler took out a loan at a 14 7 APR compounded monthly to buy a boat and he is making monthly payments to pay off the loan Which of these interest rates would have allowed Tyler to pay off the loan faster A 15 6 compounded monthly OB 16 2 compounded monthly O C 15 0 compounded monthly OD 14 4 compounded monthly

Determine the volume of the three dimensional figure The volume is Simplify your answer 4 in 4 in 4 in 4 in 13 in 4 in 13 in

Evaluate f a 2 for f x 3x 5x 1 Upload a PDF of your work in the correct orientation Only PDFs will be given credit Show all work

lan has the choice of taking out a 25 year loan for 205 000 at 3 2 interest compounded monthly or the same loan at 20 years for a higher monthly payment If he would pay a total of 93 077 in interest on the 25 year loan how much in total would he pay in interest on the 20 year loan O A Less than 93 077 OB More than 93 077 but less than 205 000 OC 93 077 OD 205 000

cole has the choice of taking out a 30 year loan for 165 erest compounded monthly or the same loan at 25 years for a higher Onthly payment How much more is the monthly payment for the 25 yea an than the monthly payment for the 30 year loan OA 155 66 OB 99 19 OC 90 05 D 56 47

e 15 S 84 42 25 30 U 70 R Are the two triangles similar It so what is the scale factor If not just put Not Similar Leave as

Which of these expressions can be used to calculate the monthly payment for a 20 year loan for 215 000 at 5 4 interest compounded monthly O A 215 000 0 0045 1 0 0045 1 0 0045 240 1 OB O C O D 240 215 000 0 0045 1 0 0045 240 1 0 0045 24 1 215 000 0 0045 1 0 0045 1 0 0045 240 1 240 240 215 000 0 0045 1 0 0045 2 1 0 0045 240 1

Which of these groups of values plugged into the TVM Solver of a graphing calculator will give the monthly payment for a 30 year loan for 265 000 at 5 9 interest compounded monthly OA N 30 1 5 9 PV 265000 PMT FV 0 P Y 12 C Y 12 PMT END OB N 30 1 5 9 PV 0 PMT FV 265000 P Y 12 C Y 12 PMT END C N 360 1 5 9 PV 0 PMT FV 265000 P Y 2 C Y 12 PMT END D N 360 1 5 9 PV 265000 PMT FV 0 P Y 12 C Y 12 PMT END

Q1 Calculate the Levenshtein distance between the words GAZA and JAZAA To do so fill in the appropriate blanks in the table given below 5 marks J A Z A 0 GAZA

5 7 WXYZ with vertices W 3 1 X 1 1 Y 2 4 and Z 2 4 3 4 y Given a triangle with vertices A 7 1 B 2 3 and C 2 4 which of the following represents the coordinates of the vertices of the image after a translation of the triangle 5 units right and 3 units up A A 4 4 B 1 2 and C 5 9 B A 2 2 B 3 0 and C 7 7 CA 12 2 B 7 0 and C 3 7 D A 2 4 B 3 6 and C 7 1 6 8 FOOTBALL A wide receiver starts from his 15 yard line on the right hash mark and runs a route that takes him 12 yards to the left and down field for a gain of 17 yards Write a translation vector to describe the receiver s route Left Hash Right Hash VECTOR O Write the translation vector that maps the top blue preimage to the bottom green image y X

Nelson took out a 30 year loan for 210 000 at 6 5 interest compounded monthly If his monthly payment on the loan is 1327 34 and if 1137 50 0 his first payment went toward interest how much of his second payment went toward interest OA Less than 1137 50 OB 1137 50 OC 1327 34 D More than 1137 50 but less than 1327 34

Maxine took out a loan for 3200 at 8 interest compounded makes yearly payments of 250 will she ever pay off the loan A Yes because 250 is less than the amount of interest she is charged per year B No because 250 is greater than the amount of interest she is charged per year C Yes because 250 is greater than the amount of interest she is charged per year D No because 250 is less than the amount of interest she is charged per year

The amount still owed on a loan is called what OA Unpaid balance OB Amortization OC Payment number D Note reduction

Which of the following factors does not influence the cons deciding to buy a product OA Weather OB Internal factors OC Marketing D External factors

Galen went to the supermarket to buy rice and soda and while he was in the checkout line he also threw some batteries and a newspaper into his shopping cart Which two products were impulse purchases OA The rice and soda O B The batteries and newspaper O C The batteries and soda D The rice and newspaper

Which of these is an example of delayed purchasing OA Paying for a drum set in six months and receiving the drum set six months B Paying for a drum set today and receiving the drum set in a six months OC Paying for a drum set in six months and receiving the drum set today D Paying for a drum set today and receiving the drum set today

Federico just bought a trampoline Which of these could have been an internal factor that influenced Federico s decision A Federico recently read an article in a magazine about trampolines B Everyone else who lives on Federico s block has a trampoline C Federico has so much fun jumping up and down on trampolines D Federico just saw a movie in which the star jumped on a trampoline

How many of the 25 customers named butterscotch O A 3 OB 5 OC 4 A KURTARUNTE INCHichk GEREELANTANE NEMESINS RESERVE COUTER HATTEINGA ESTIMON OSHIRE

4 y x 5 8

Independent Practice Part 1 7 5 y x 3 40 impli D M HA 6 F

he equations below then graph 2 y 5x 3

If the pizza parlor can make a maximum of 135 pizzas a day how many should they expect will be taco pizzas OA 74 OB 58 O C 79 OD 51

12 Show that the vectors 1 2 6 3 2 1 and 7 10 9 lie on the same

A 12 foot ladder leaning on a house makes a 65 angle with the ground To the nearest foot how far up the house does the ladder reach

pot slide is attached to a swing set The slide makes a 65 angle with the swing set What is the height of the top of the slide

Joel has had his dog Buster for 4 years For Joel dog food is most likely what type of purchase O A Minor repurchase OB Major new purchase OC Minor new purchase OD Major repurchase

What percentage of the prospective customers surveyed would be willing pay a maximum of 7 01 to 8 A 20 B 10 C 30

Violet has developed a new kind of flour tortilla and now she is trying to decide how much to charge for it Which of the 4Ps of marketing is she concerned with at the moment O A Promotion OB Price O C Product D Placement CARMER FESTS gegrianinai Venanci INTA DE

Grocery Drugstores Health Stores Food Stores What was the average number of locations chosen per potential customer A 2 OB 4 OC 2 5 Big Box Stores 15

In 7 write a similarity statement and state the similarity ratio 7 14 28 X W Similarity Statement Similarity Ratio

In 5 Given the preimage and image state the coordinates of each figure and the scale factor of the dilation with center at origin Answer in simplest fraction form 5 12 2 19 A 6 16 14 O M Q N N 10 12 14 16 X M M Scale Factor Scale Factor N O

6 AABC has vertices A 12 20 B 8 16 and C 4 0 What are the vertices of the image after a dilation 7 with a scale factor of using the origin as the center of dilation 4

In 12 13 Where possible mark any congruent angles and show sides proportional Write a Similarity statement and state whether it is by AA SAS SSS 12 13 B O Similarity Statement Reason 6 30 12 Reason D C 30 Similarity Statement E

In 3 4 describe the dilation enlargement or reduction and state the scale factor Solid is preimage 22 cm 16 cm Type of Dilation Scale Factor 4 3 cm Type of Dilation Scale Factor 18 cm

In 8 11 Use the figure in which ABCDE GHJDF Complete each statement 8 ZF 9 ZD 10 GH AB JD EA 1 ED

6 In 14 16 the figures are similar setup a proportion then find the value of the variable x Round answer to the nearest tenth 14 ABCD WXYZ 7 12 D B 10 59 18 X Z X Y 15 16 x 6 5 12

each proportion round answers to the nearest tenth NIN 2 8

PART C Justify that the triangles are congruent by connecting corresponding vertices of the pre image and image with line segments F A E H

Justify that the triangles are congruent by connecting corresponding vertices of the pre image and image with line segment F E

EGO NOTE For each pair of triangles write a congruence statement Justify your statement by identifying the congruence pattern you used Then justify that the triangles are congruent by connecting corresponding vertices of the pre image and image with line segments Describe the relationship between the line segments 3

3 Determine the measure of the unknown angle in each figure b a 108 121 142 135 146 113 166 to to 135 128 161 99 90

Match each quadratic function to its graph f x 2x 16x 30 2 x 3 x 5 g x x 2 h x x 2x 1 x 1 k x x 3x 2 x 1 x 2 f x 2x 16x 30 2 h x x 2x 1 704x 8 00 6 2 g x x 2 k x x 3x 2 104X CO 8 6 A O

2 Use your own judgment for any unspecified dimension Use first angle method only 3 4 5 Retain all construction lines Figures to the right indicate full marks b Figure 1 shows pictorial view of an object Draw 1 Front view ii Top view ii Dimension the views a A circle of 60mm diameter rolls on a straight line without slipping Draw 6 the locus of a point P for complete revolution of the circle The point P is 38mm above the straight line and towards the right of vertical centre line of the circle FERING 8 2015 R15 16407 RING RE 14 19 ENGINEERING 60

17 Find the area of the figure using the given information Area of a parallelogram A bh Area of a triangle A bh DC 16 inches BC 12 inches mzB 40 D A B

4 A F A B C x 2 2x 1 10 12 18 C E 7 D

19 A 10 foot ladder is leaning against a house so that it reaches a window that is 8 feet off the ground What is the angle that the ladder forms with the ground

25 At 2 P M the shadow of a lighthouse is 19 feet long and the angle of elevation is 75 degrees Find the height of the lighthouse Draw a diagram to illustrate the problem Label the lighthouse shadow and angle of elevation