7BOBO-dHHHHHH-dH-h-P4Q - -Zl`QxHH(FG(HH(d'@.x* lA/$FA-->I-- *$*--xUUU<*-DF.h9v *-|!(}DSET4Q404Pw-L-T-Py-h-vy-|-vy-d-vpy--vy-l-v y-H-v y--vy--v4y--vwy--vHy--vy-,-vy-@-r!y-p-v#y-X-v&xy--v(vy--v*y--v.4y-<-v0y--v3By-t,X34NQuvw./01HIJKLMN|}~?@ABCDE     ijklmnop;<=>?@Amnopqrstuvwfgh$ ~       u v w x - . / 0 1 2 3 4 5 6 7 8 9     r s t u v w x y z { | ;<=>1234defgrstuvw?@efjklSTUV<=>?@ABCDEFGH   45678pqrstuvwxyz{ !!4!5!6!7!8!9!:!!!!!!!"-"."/"0"1"2"3"4"["\"]"^"_"`"a"b"c"d"e""""""######## #######%5%6%7%8%9%:%;%<%e%f%g%h%i%j%k%l%m%n%o%p&`&a&b&d&e&f&l&m&n&o&p&q&r&s&t&u&v&w&x'!'"'#'$'%'&'''I'J'K'L'M'N'O'P'Q'R'l'm'n'o'''''( ( ( (((((((((((u(v)))L)M)N)y)z){)|))))))))))***********************,M,N,,,,,- - - - - -'-(-)-*-S-T-U-V-W------------./.0.1.2.3.4//////////////////////0K0L0M0N0O0P0Q0R0S0T0U0V0W0X00015161718191i1j1k1l1m1n1111122 2!2"2#2=2>2?2@2i2j2k222222222223A3B33333333333333333334H4I4J4K4L4M4N4O4P4Q4R4S4444444444 N       w     N    A  x          r  y                  J d k p r          t z             !Q !T "4 "Z # # # %  % %< %d &_ &b '' 'H 'R ( ( (v ) * -  - - .4 / 0O 0W 0 0 0 1 1 19 1h 1 1 1 2# 2 2 3B 3 3 3 4K 4Q 4 4 4 4 4 4 4 -H+-D-@-< -8v-4d-0T-,8x-(-$#X- &}-)--H-0o-2wH-  UNIT 7: WORKING WITH SHAPES IN TWO DIMENSIONS ODD QUESTIONS 1 - 39 Please refer to this information while working on problems in this packet. (Place SUMMARY information, page 32, here.) 1. A rectangular-shaped television screen measures 26 across one of the diagonals. What is the measure of the other diagonal? What are you looking for? What do you need to answer the question? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 3. You are going to tint the side windows on your car. The tinting material is sold by the square foot. A sketch of your window dimensions is shown below. Please place window sketch ,page 36, here. + a. What shape is your car window? b. What is the area in square inches of your two car windows (you have a window like this on each side of your car) that need to be tinted? c. The tinting material comes in a roll 30 wide. If you had to cut a rectangular piece from the roll for each window, what would be the area of the piece needed for each window? d. What amount of material (what area) would be wasted on covering both windows? 5. A dart board consists of rings used for scoring. The area of each ring and its distance from the bulls-eye can be used to create a scoring scheme. Examine the drawing below of such a target. Place dart board, page 37, here. a. Make a table on your paper of the various rings and their diameters, similar to the one shown in the illustration. b. Add a column for the area within each circle. Compute the areas and complete your table. c. The area of each ring will be the area within its outer circle minus the area within its inner circle. Add a column for the area of each ring, and complete the table. d. Devise a scoring scheme that awards the most points for the center area and the least for the outer ring, based on the amount of area in each ring and the distance of the ring from the center. 7. A 5-16 bottom plow can plow a width 80 inches on each pass. Your tractor and plow can travel at a speed of 5 miles per hour. a. What is the plow width in feet? b. How far will you pull the plow in one hour? c. How many square feet will be plowed in one hour? d. If one acre is 43,560 square feet, how many acres will be plowed during this hour? What are you looking for? What do you need to answer the question? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 9. A diagram of an irregular field is shown below. Determine the amount of single- strand fencing needed to enclose this area. If each roll of wire has 1320 feet on it, how many rolls of wire will you need to fence the field? Place field diagram, page 39, here. What are you looking for? What do you need to answer the question? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 11. The surface area of a lake can be approximated by breaking up the area into trapezoids. A map of a lake is shown below, with trapezoids sketched in. Determine the area of the lake. Place lake drawing, page 40, here. What are you looking for? What do you need to answer the question? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 13. As manager of S.T.U. Supermarket, you are determining the allocation of your stores selling space. Below is a sketch of the measurements for each of the three main selling areas: grocery, meat, and produce. Place sketch, page 41, here. a. What is the total area of the stores selling space? b. What is the area of each of the labeled types of selling areas? c. What fraction of the total area is each of the selling areas? Express your answer as a decimal. d. Convert the decimal fractions to percentages. 15. Textbook designers must consider the amount of text and artwork that is placed on a page. Too much text overburdens the reader, while too little text on a page is costly. A sample page is illustrated below, with the areas of text and figures boxed and shaded. (For this exercise measure the illustration with your ruler. Using centimeters would be easier than inches.) Place page illustration, page 42, here. a. Measure the size of the full-page dimensions. What is the area of the full page in the illustration? (Report your measurements to one decimal place.) b. Measure the dimensions of the shaded areas (the text and figures). Calculate the areas of the shaded areas. (Hint: Break up the shaded areas into several figures that you recognize.) c. What is the fraction of the total page area that is occupied with text and figures? d. If 33 1/3% is an acceptable level of white space (area without text or figures), does this page have more or less than the acceptable level of white space? 17. You are examining the pricing for the rental of small warehouse storage space. A phone call to U-Stor-It Warehouse gives the following pricing information for the various-sized storage areas. U-Stor-It Warehouse Prices Size Cost per month 5 x 10 $23 8 x 10 30 10 x 10 33 10 x 12 35 10 x 15 39 a. Assuming rectangular-shaped storage areas, compute the area for each  warehouse size above b. Calculate the monthly cost per square foot for each warehouse size. c. If you needed a total of 150 square feet of storage space, would it be cheaper to rent one large warehouse space, or several smaller ones? d. Suppose the 10 x 15 storage spaces were not being used by customers, and the manager was considering breaking up the space into 5 x 10 spaces. How many spaces could be obtained? (Neglect wall thickness.) 19. The microscope reticule (eyepiece) you are using tells you that the field you are viewing with the present magnification is 0.19 mm across. Within this circular field, you count 48 cells of a certain type. a. What is the area (in square mm) of the field of view? (Round your answer to three decimal places.) b. On the average, how many cells are present in each square mm of your sample? What are you looking for? What do you need to answer the question? xWrite out the methods that you will used to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 21. A window gasket needs replacing. The window measures 41 tall and 30 wide. What is the length of the gasket you need to go around the windows edge? What are you looking for? What do you need to answer the question? Write out the methods that you will used to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 23. You are constructing a circular garden around the oak tree in your front yard. The tree has a diameter of 2. You want your garden border to be 2 away from the tree trunk. You plan on enclosing it with a circular border using small bricks that are 3 3/4 across. a. Make a sketch of the proposed garden, showing the tree and the garden border. Label the diameter of the tree, and the distance from the tree trunk to the garden border. b. What will be the diameter of your garden? c. What will be the circumference of your garden? d. How many of the 3 3/4 bricks will it take to border the garden? 25. A small pyramid is to be made from thin sheet metal. The pyramid can be made by cutting out the shape shown below, and then folding it along the broken lines. Place shape drawing, page 46, here. a. What two shapes do you recognize in this construction? b. Using the given measurements, calculate the total area for the metal used in constructing the pyramid. c. If you started with a square piece of sheet metal that was 100 cm long on one side, how much scrap sheet metal (area) would you have after cutting out this shape? 27. A vertical radio antenna must be supported to resist the wind. The larger the antenna, the more force it will experience from the wind. A common measure of the size of an antenna is the total surface area of the antenna. Consider a 18 vertical antenna that is 3 across at the base and 1/2 across at the top, as shown below. Place antenna picture, page 47, here. The antenna can be treated as a flat surface facing the wind. Identify the figure of the flat surface and calculate the total surface area of the antenna. (Note: Th}is is only an approximation, since the antenna is not really flat.) 29. Two rollers in a friction drive engage each other as shown below. One has a diameter of 34 cm and the other 18 cm. How far apart are the centers of the axles? Place drawing, page 48, here. What are you looking for? What do you need to answer the question? Write out the methods that you will used to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 31. A large meeting room is being constructed with a suspended ceiling. Each tile used in the ceiling is 2 x 4. The room is rectangular, measuring 40 x 70. a. What is the total area of the meeting room? b. What is the area of one ceiling tile? c. Estimate how many ceiling tiles will be needed to cover the rooms ceiling. What are you looking for? What do you need to answer the question? Write out the methods that you will used to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 33. The pressure gage on a hydraulic jack shows that the pressure on the pistons is 20 pounds per square inch. This means that each square inch of area is being pushed by the fluid with a force of 20 pounds. The part of the lifting piston in the hydraulic jack that is in contact with the fluid is circular, with a diameter of 1.45. a. What is the area of the piston surface in contact with the fluid? (Report your answer to two decimal places.) b. What is the total force on the piston from the fluid? What are you looking for? What do you need to answer the question? Write out the methods that you will used to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 35. A circular swimming pool is 32 feet in diameter. A 5-foot wide sidewalk around the pools edge is to be covered with a non-skid material. Make a sketch of the pool and the sidewalk. What is the area of the sidewalk to be covered? (Hint: Determine the area of the entire surface and subtract the area not to be covered.) What are you looking for? What do you need to answer the question? Write out the methods that you will use to osolve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): 37. A very large spur gear is found to have a root diameter of 52, with teeth that are about 11/8 apart, as shown below. Place spur gear picture, page 51, here. a. What would be the circumference of this gear? b. Since the distance between each pair of teeth is 11/8, about how many gear teeth are on the entire gear? What are you looking for? What do you need to answer the question? Write out thHe methods that you will use to solve the problem and show your work in calculating the answer(s): Your answer(s) are (make sure you are close to your estimate and the units used are correct): 39. What is the diameter of a shaft that has a perimeter of 23 1/2? What are you looking for? What do you need to answer the question? Write out the methods that you will use to solve the problem and show your work in calculating the answer(s). Your answer(s) are (make sure you are close to your estimate and the units used are correct): DSET|(H->"9 *6*>"9DSET(H-9>96*=9DSETR ----   -Unit 7 Odd Questions