Heights & Distances Questions and Answers

A jewelry salesman earns a commission of 25 of all jewelry sales made Yesterday he sold 5 bracelets for 60 each and 4 rings for 40 each How much did he earn in commission yesterday OA 40 OB 120 O C 64 OD 115

Melvin has a balance of 5140 on a credit card with an APR of 17 6 Paying off his balance in which of these lengths of time will result in him paying the least amount of interest A 8 months OB 10 months C 6 months D 12 months

What is the name of indicator of stock market prices that is the average of 30 selected industrial stocks OA S P 500 B SEC C Dow Jones

At the beginning of the day stock XYZ opened at 6 12 At the end of the day it closed at 6 88 What is the rate of change of stock XYZ A 12 4 B 6 8 C 6 1 D 1 2

7 r 60 8 2 30 8 30 y X 6 60 9 30 X y 60 5

Solve each of the following problems In each case be sure to make a diagram of the situation with all the given information labeled 1 Isosceles Triangle The two equal sides of an isosceles triangle are each 42 centimeters If the base measures 30 centimeters find the height and the measure of the two equal angles Round your answer to the nearest tenth 2 Equilateral Triangle An equilateral triangle one with all sides the same length has an altitude of 4 3 inches Find the length of the sides 3 Length of an Escalator How long should an escalator be if it is to make an angle of 33 with the floor and carry people a vertical distance of 21 feet between floors Round to the nearest tenth 4 Height of a Hill A road up a hill makes an angle of 5 with the horizontal If the road from the bottom of the hill to the top of the hill is 2 5 miles long how high is the hill 5 Circus Tent A rope from the top of a circus tent pole is 72 5 feet long and is anchored to the ground 43 2 feet from the bottom of the pole What angle does the rope make with the pole Give your answer to the nearest tenth of a degree 6 Leaning Ladder A ladder is leaning against the top of a wall that is 7 0 feet high If the bottom of the ladder is 4 5 feet from the wall what is the angle between the ladder and the wall Give your answer to the nearest tenth of a degree 7 Angle of Elevation If a flagpole that is 73 feet tall casts a shadow 51 feet long what is the angle of elevation of the sun Give your answer to the nearest

Which describes a person designated to receive money from a life insurance policy or retirement plan if the owner of the policy dies O A Shareholder B Broker C Beneficiary

Which of these expressions will give the unpaid balance after 5 years on ar 80 000 loan with an APR of 4 8 compounded monthly if the monthly payment is 519 17 OA 80 000 1 0 048 60 519 17 O B 80 000 1 0 048 519 17 1 0 00 000 4000115 19 171 1 OC 80 000 1 0 004 60 519 17 0510 1 1 0 048 60 0 048 1 1 0 048 0 048 1 1 0 004 80 0 004 1 1 0 004

Which describes a financial product offered by insurance companies that in return for an investment provides fixed payments each month for a certain amount of time OA Period annuity B Lifetime annuity OC Stock investment

What is the name of the relationship when the function used to fit the data is a line O A Correlation OB Linear regression C Exponential regression

15 The shadow of a tree is 24 feet At the same time the shadow if a 6 foot tall person is 4 5 feet How tall is the tree

Which of the following has faces that are pentagons O A Hexahedron OB Dodecahedron O C Icosahedron O D Octahedron

Use the figure to find the length of the indicated segment 7 AG 8 FC 9 ED 10 AE G F A 4 B E 6 C 5 D

Doc1 Applied Computing Student Doc2 Palestine Technical University student Select one A The Query is more smilar to Doc1 B The Query is more smilar to Doc2 C no relation between the Query and Doci Doc2 n None of the mentioned

docID Words in document Training set 1 Test set 2 3 4 5 Jerusalem Ramallah Jerusalem Jerusalem Jerusalem Nablus Jerusalem Jenin Irbid Amman Jerusalem Jerusalem Jerusalem Jerusalem Irbid Amman a Fill the following 12 marks 1 Data set Size 2 Number of the documents that classified yes 3 Number of the documents that classified no 4 Number of the unique terms 5 Terms frequency in yes category 5 Terms frequency in no category In c Palestine yes yes yes no

The owner of the store of Auckland New Zealand Company must decide among building a mega centre store building 5 new stores or leasing 10 of their locations to another company The profit that will result from each alternative will be determined by whether material costs remain stable increase moderately or increase significantly In the payoff table below the estimated profits losses are given in thousands Stable 1820 Material Costs Mega Centre ecision New Stores Leasing termine the best decision using the Maximax decision criterion 2100 850 Moderate Increase 1020 500 950 O Decision New Stores based on 2500 max 1820 2500 1050 O Decision Stable based on 2100 max 2100 1020 1050 O Decision New Stores based on 2100 max 1820 2100 1050 O Decision Leasing based on 2850 max 2660 100 2850 Significant Increase 180 2500 1050

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

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

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

23 cos 50 sin

H Identify the similarity ratio between Quads QRST and Quad PJKO Side lengths from Quad QRST Corresponding Side lengths from Quad PJKO Simplified Ratio of Corresponding Side Lengths RS ST TQ QR JK RS JK ST TQ QR II The similarity ratio of Quad QRST to Quad PJKO is

According to the following table which of these factors affects your cred score the least Factor Payment history Amount owed Length of credit history New credit Types of credit Percent affects score Max of points awarded 35 297 5 30 255 15 127 5 A Payment history 10 10 85 85

A credit card issuer charges an APR of 19 66 and its billing cycle is 30 days long What is its periodic interest rate O A 21 72 OB 21 53 O C 1 22 OD 1 62

Roscoe s credit card has an APR of 13 59 and it just changed its compounding period from daily to monthly What will happen to the effective interest rate charged to Roscoe OA It will decrease by about 0 8 OB It will increase by about 0 8 OC It will decrease by about 0 08 OD It will increase by about 0 08

Eudora transferred a balance of 6400 to a new credit card at the of the year The card offered an introductory APR of 7 8 for the first 3 months and a standard APR of 26 5 thereafter If the card compounds interest monthly what will Eudora s balance be at the end of the year Assume that Eudora will make no payments or new purchases during the year and ignore any possible late payment fees O A 6525 61 OB 7790 35 C 8317 94 D 7943 25

Suppose you buy a CD for 300 that earns 3 APR and is compounded quarterly The CD matures in 5 years Assume that if funds are withdrawn before the CD matures the early redemption fee is 3 months interest What is the early redemption fee on this account A 3 75 OB 2 25 OC 6 00 D 1 50

The opening balance of the May billing cycle for Marco s credit card was 3659 If he makes a new purchase of 100 on the 20th of May and doesn t make any payments what is his average daily balance A 3 694 48 O B 3 759 65 O C 3 709 00 D 4 125 36

A 14 foot ladder makes a 62 angle with the ground To the nearest foot how far up the house does the ladder reach

A boy flying a kite lets out 300 feet of string which makes an angle of 38 with the ground Assuming that the string is straight how high above the ground is the kite

A A 12 foot 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

Brian has a 500 bond with a 6 5 coupon The yield of the bond is 6 8 What is the bid price for the bond OA 478 00 OB 468 00 OC 490 00 D 482 00

Find the values of the variables Round answer to nearest tenth 7 8 9 Xx 3 12 9 X 6 8

O a If the angle between them is 90 b If the angle between them is 0 c If the angle between them is 45 d If the vectors have the same magnitude If a 2 6 6 and b 3 2 7 find a b Your Answer Answer Which statement best describes the result of the cross product a It gives the magnitude of the projection of one vector onto another b It defines a vector perpendicular to both given vectors c The cross product gives a vector parallel to both given vectors O d It is the division of one vector by another If A 3 2 9 and B 4 7 2 are two points in 3 space then find the vector AB a b AB 7 5 71 d AB 1 9 11 1 AB 1 12 14 18 AB 17 5 71 The dot product represents a The magnitude of the projection of one vector onto another b A vector perpendicular to both given vectors c A vector parallel to both given vectors d The division of one vector by another Ifp 7 2 5 1 q a P q 112 3 b P q 12 1 find find p q

Carson wants to use a sheet of fiberboard 29 inches long to create a skateboard ramp with a 19 angle of elevation from the ground How high will the ramp rise from the ground at its highest end Round your answer to the nearest tenth of an inch if necessary

EXPLAIN 1 Proving Opposite Sides Are Congruent Read the section below and complete the following activity adapted from Lesson 9 1 A segment that connects two nonconsecutive vertices of a polygon is a diagonal 6 Theorem 1 If a quadrilateral is a parallelogram then its opposite sides are congruent Example reason box at the bottom of page Prove that the opposite sides of a parallelogram are congruent Answers given in statement Given ABCD is a parallelogram Prove AB CD and AD CB The figure WXYZ is a parallelogram WZ XY and WX ZY Statements 3 AB DC AD BC 4 ZADB ZCBD LABD LCDB 5 DB DB 1 ABCD is a parallelogram 2 Draw DB 7 AB CD and AD CB Statement Reason Bank 3 1 2 Through any two points there is exactly one line 4 D 5 Reasons 6 ASA Triangle Congruence Theorem 7 4 Alternate Interior 1 Given Angles Theorem 5 Reflexive Property of Congruence 7 CPCTC This number tells you the correct row number in the proof for each statement or reason provided below 3 Definition of parallelogram 6 A ABDA CDB 0

Leon lives in North Dakota which has a sales tax of 5 He jus home theater system whose full price was 450 but after sending in a rebate form he later received a check in the mail for 75 What was the total amount that Leon ended up paying after receiving the rebate OA 393 75 OB 397 50 O C 472 50 D 375 00

Bao is trying to find the height of a radio antenna on the roof of a local building She stands at a horizontal distance of 27 meters from the building The angle of elevation from her eyes to the roof point A is 34 and the angle of elevation from her eyes to the top of the antenna point B is 37 If her eyes are 1 7 meters from the ground find the height of the antenna the distance from point A to point B Round your answer to the nearest tenth of a meter if necessary

Virgil heard that as a general rule he should spend no more than 30 of his take home pay on rent If Virgil s take home pay is 51 600 per year what is the maximum amount per month that he should spend on rent O A 4300 OB 1548 OC 3010 OD 1290

3 Calculating a Heading A woman launches a boat from one shore of a straight river and wants to at the point directly on the opposite shore If the speed of the boat relative to the water is 10 mi h and the river is flowing east at the rate of 5 mi h in what direction should she steer the boat to arrive at the desired landing point See Example 5 from the 5 3a lesson notes Answer 8 120 Direction N 30 W Heading 330 W 0 AN

outstretched arm Starting from rest he begins to turn with a constant angular acceleration releasing the discu after making one complete revolution The diameter of he circle in which the discus moves is about d meters he thrower takes a time t seconds to complete one evolution starting from rest what will be the speed of he discus at release T Upload files Supported file formats PDF JPG GIF PNG CSV RTF TXT XPS ZIP Word Excel

The figure below shows the angular position of a potter s wheel a What is the angular displacement of the wheel between t 5s and t 15s b What is the angular velocity of the wheel at t 15s c What is the maximum speed of a point on the outside of the wheel 15 cm from the axle 0 rad 75 50 25 0 0 5 10 15 20 t s

30 4034 x 6 60 2 3

0 The percentage grade of a road measures the change in the altitude of a road in comparison with the horizontal distance covered by the road For example a 5 grade means that the road rises 5 feet for every 100 feet of horizontal distance Ms Palmer is about to turn onto a mountain road and sees this sign What angle does the road make with the ground 9 8

7 Quadrilateral MATH has vertices M 6 4 A 4 2 T 0 1 H 1 8 What are the vertices of the image after a dilation with a scale factor of using the origin as the center of dilation

Water flowing through both a small pipe and a large pipe can fill a water tank in 9 hours Water flowing through the large pipe alone can fill the tank in 17 hours Write an equation that can be used to find the amount of time t in hours it would take to fill the tank using only the small pipe Round to the neares whole hour

9 True or False Give a reason for your answer 4 then the side adjacent to must be 4 and the hypotenuse must be 5 5 a If cos 0 b If tan 0 1 5 then the side adjacent to is 13 the length of the side opposite 0

Tools Find the correct equation to solve for m m 53 A B C D 24 124 cos 53 tan 53 tan 53 cos 53 24 m m 24 24 m 2024 Illuminate Education TM Inc

8 Use the figure to answer the following 2 points a What is the measure of the shortest side of the sail on the model Round your answer to the nearest tenth b What is the measure of the longest side Round your answer to the nearest tenth B MAM 9 What is the area of the given triangle Round to the 10 A local park is located on a triangular piece of land nearest tenth 1 point What is the area of the park to the nearest tenth 1 point A 13 cm 7 cm 38 C R 75 m E60 40 28 in 150 m Checkpoint Score Total 11 15

b Solve the triangle by finding the length of DF and the measures of all the angles For side lengths round to the nearest tenth For angles round to the nearest degree 2 points a DF LE 2F 7 Find all the missing side lengths for the following triangles 3 points 2 V U 30 5 3 2 60 b 2 2 d b D F 45 a 5 ft E 5 83 ft 7 4 m 45 n

HW 2 1 What values of u and v are correct for the following 45 45 90 right triangle 10 A u 45 D u B C u 10 2 10 6 10 6 v 10 3 u 10 2 v 10 2 v 10 v 10 45 X 11 3 3 Find the missing side lengths Leave your answers as radicals in simplest form m work Complete problems 1 6 below for independent practice 14 When you are finished check the solutions with your teacher 5 Find the missing side lengths Leave your answers as radicals in simplest form 60 y 2 What values of a and b are correct for the following 30 60 90 right triangle 30 A a 34 b 17 3 B a 17 3 b 34 68 3 C a 3 D a 34 b 17 6 4 Find the missing side lengths Leave your answers as radicals in simplest form 16 45 16 17 6 Find the missing side lengths Leave your answers as radicals in simplest form y 30 b 17 6 Optional Complete problems 3 10 18 22 your textbook on separate lined paper