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All Textbook Solutions for Mathematics For Machine Technology
Write the fractional part that each length, A through F, represents of the total shown on the scale in Figure 1-3. A = . B = . C = . D = . E = . F = .A welded support base is cut into four pieces as shown in Figure 14. What fractional part of the total length does each of the four pieces represent? All dimensions are in inches. Piece 1: . Piece 2: . Piece 3: . Piece 4: . The circle in Figure I -S is divided into equal parts. Write the fractional part represented by each of the following in Exercises 3 and 4:The circle in Figure 1-5 is divided into equal parts. Write the fractional part represented by each of the following in Exercises 3 and 4: 3. a. 1 part. b. 3 parts . c. 7 parts . d. 5 parts . e. 16 parts .The circle in Figure 1-5 is divided into equal parts. Write the fractional part represented by each of the following in Exercises 3 and 4: 4. a. 12 of 1 part______. b. 13 of 1 parts ______. c. 14 of 1 parts ______. d. 110 of 1 parts .______ e. 116 of 1 parts ______.Reduce to halves. a. 48 b. 918 c. 100200 d. 121242Reduce to halves. a. 2510 b. 1812 c. 12636 d. 22550Reduce numbers to lowest terms in Exercises 7 and 8. a. 68 b. 124 c. 610 d. 305 e. 1144Reduce numbers to lowest terms in Exercises 7 and 8. 8.a. 146 b. 248 c. 6515 d. 25150 e. 14105Express the fractions in Exercises 9 and 10 as thirty-seconds. 9. a. 14 b. 34 c. 118 d. 716Express the fractions in Exercises 9 and 10 as thirty-seconds. 10. a. 2116 b. 192 c. 19716 d. 218In Exercises 11 and 12, express the given fractions as equivalent fractions with the indicated denominators. a. 34=?8 b. 712=?36 c. 615=?60 d. 1714=?42 e. 209=?45In Exercises 11 and 12, express the given fractions as equivalent fractions with the indicated denominators. 12.a. 143=?18 b. 716=?128 c. 138=?48 d. 2116=?160Express the mixed numbers in Exercises 13 and 14 as improper fractions. 13.a. 223 b. 178 c. 525 d. 338 e. 5932 f. 837Express the mixed numbers in Exercises 13 and 14 as improper fractions. 14.a. 1013 b. 945 c. 10012 d. 46364 e. 4938 f. 4081316Express the improper fractions in Exercises 15 and 16 as mixed numbers. 15.a. 53 b. 212 c. 98 d. 874 e. 729 f. 127124Express the improper fractions in Exercises 15 and 16 as mixed numbers. 16. a. 12732 b. 5715 c. 1509 d. 23516 e. 5144 f. 40164Express the mixed numbers in Exercises 17 and 18 as improper fractions. Then express the improper fractions as the equivalent fractions indicated. 17. a. 212=?8 b. 338=?16 c. 745=?15Express the mixed numbers in Exercises 17 and 18 as improper fractions. Then express the improper fractions as the equivalent fractions indicated. 18. a. 1223=?18 b. 978=?64 c. 1512=?128Sketch and redimension the plate shown in Figure 1-6. Reduce all proper fractions to lowest terms. Reduce all improper fractions to lowest terms and express as mixed numbers. All dimensions are in inches.Reduce the fraction 1530to halves.Reduce 1230to lowest terms.Express 118and ?32as equivalent fractions.Express the mixed number 735as an improper fraction.Express 9712 as a mixed number.Express the mixed number 935as an improper fraction and then express that improper fraction in the form 715 .Determine the lowest common denominators of the following sets of fractions. 7. 23,16,512Determine the lowest common denominators of the following sets of fractions. 8. 35,910,56Determine the lowest common denominators of the following sets of fractions. 9. 56,712,316,1924Determine the lowest common denominators of the following sets of fractions. 10. 45,34,710,12Express these fractions as equivalent fractions having the lowest common denominator. 11. 12,34,512Express these fractions as equivalent fractions having the lowest common denominator. 12. 716,38,12Express these fractions as equivalent fractions having the lowest common denominator. 13. 910,14,35,1514A15ADetermine the overall length, width, and height of the in Figure 2-4. All dimensions are in inches. length = ______. width =______. height =______.Determine dimensions A, B, C, D, E, F, and G of the plate in Figure 2-5. Reduce to lowest terms where necessary. All dimensions are in inches. A = ______. B = ______. C = ______. D = ______. E = ______. F = ______. G = ______.Determine dimensions A, B, C, and D of pin in Figure2-6. All diemensions are in inches. A = ______. B = ______. C = ______. D = ______.The operation sheet for machining an aluminum housing specifies 1 hour for facing, 234 hours for milling, 56 hour for drilling, 310 hour for tapping, and 25hour for setting up. What is the total time allotted for this job?Determine the least common denominator of 23,58, and 1112 .Express 14,56, and 712as equivalent fractions having the lowest common denominator.Express 298 as a mixed number.Express the mixed number 516as an improper fraction.Add 512+34+16 .Add 238+134+513 .Subtract each of the fractions in Exercises 7 through 9. Reduce to lowest terms where necessary. a. 58932 b. 7858 c. 9101950Subtract each of the fractions in Exercises 7 through 9. Reduce to lowest terms where necessary. 8.a. 58964 b. 9161364 c. 1924316Subtract each of the fractions in Exercises 7 through 9. Reduce to lowest terms where necessary. 9.a. 7458 b. 38364 c. 153286410ADetermine dimensions A, B, C, D, E, and F of the drill jig in Figure 35. All dimensions are in inches. A = ______. B = ______. C = ______. D = ______. E = ______. F = ______.Determine dimensions A, B, C, D, E, F, and G of the tapered pin in Figure 3-6. All dimensions are in inches. A = ______. B = ______. C = ______. D = ______. E = ______. F = ______. G = ______.Determine dimensions A, B, C, D, E, F, G, H, and I of the plate in Figure 3-7. All dimensions are in inches. A = ______. B = ______. C = ______. D = ______. E = ______. F = ______. G = ______. H = ______. I = ______.Three holes are bored in a checking gage. The lower left edge of the gage is the reference point for the hole locations. Sketch the hole locations and determine the missing distances. From the reference point: Hole #1 is 1332 to the right, and 158up. Hole #2 is 2164 to the right, and 2316up. Hole #3 is 314to the right, and 312up. Determine: a. The horizontal distance between hole #1 and hole #2. b. The horizontal distance between hole #2 and hole #3. c. The horizontal distance between hole #1 and hole #3. d. The vertical distance between hole #1 and hole #2. e. The vertical distance between hole #2 and hole #3. f. The vertical distance between hole #1 and hole #3.Express 13,25,56,and 49as equivalent fractions having the lowest common denominator.Add 13+25+56+49 .Reduce 3645to lowest terms.Determine the length A in Figure 4-3. All dimensions are in inches.Determine the length of the template in Figure 4-3. All dimensions are in inches.Determine the length B in Figure 4-3. All dimensions are in inches.Multiply the fractions in Exercises 7 through 9. Reduce to lowest terms where necessary. 7.a. 2316 b. 1214 c. 581364Multiply the fractions in Exercises 7 through 9. Reduce to lowest terms where necessary. 8.a. 343523 b. 79143 c. 7153857Multiply the fractions in Exercises 7 through 9. Reduce to lowest terms where necessary. 9.a. 5423 b. 478521 c. 593415Determine dimensions A, B, C, D, and E of the template shown in Figure 4-4. All dimensions are in inches. A = . B = . C = . D = . E = .A special washer-faced nut is shown in Figure 4-5. All dimensions are in inches. a. Determine the distance across flats. Distance across flats =5564 Distance across corners b. Determine the washer thickness. Washer thickness =18 Total thicknessThe Unified Thread may have either a flat or rounded crest or root (Figure 4-6). If the sides of the Unified Thread are extended, a sharp V-thread is formed (Figure 4-7). In Figure 4-7, H is the height of a sharp V-thread. The pitch, P, is the distance between two adjacent threads. Find dimensions A, B, and C as indicated. a. H=716A=_,B=_ b. H=38A=_,B=_ c. H=1516A=_,B=_ d. H=2132A=_,B=_ e. H=34A=_,B=_ f. P=14C=_ g. P=332C=_ h. P=120C=_ i. P=128C=_ j. P=316C=_13AHow many inches of drill rod are required in order to make 20 drills each 3316long?Allow 332waste for each drill.A hole is cut in a rectangular metal plate as shown in Figure 4-8. To find the area of a rectangle, multiply the length by the width. Determine the area of the plate after the hole has been removed. All dimensions are in inches. The area will be in square inches.Six identical square holes are cut in a rectangular metal plate as shown in Figure 4-9. To find the area of a rectangle, multiply the length by the width. Determine the area of the plate after the holes have been removed. All dimensions are in inches. The area will be in square inches.Express the mixed number 7316 as an improper fraction.Add 15+213+41115 .Subtract 716332 .Multiply 56423 .Determine the length A in Figure 5-3. All dimensions are in inches.Determine the length B in Figure 5-3. All dimensions are in inches.Find the reciprocal of each of the fractions in Exercises 7 through 12. 7. 78Find the reciprocal of each of the fractions in Exercises 7 through 12. 8. 14Find the reciprocal of each of the fractions in Exercises 7 through 12. 9. 258Find the reciprocal of each of the fractions in Exercises 7 through 12. 10. 6Find the reciprocal of each of the fractions in Exercises 7 through 12. 11. 634Find the reciprocal of each of the fractions in Exercises 7 through 12. 12. 327This casting in Figure 5-4 shows seven tapped holes, A-G. The number of threads is determined by dividing the depth of the thread by the thread pitch. Find the number of threads in each of the tapped holes. All dimensions are in inches. A=_B=_C=_D=_E=_F=_G=_Bar stock is being cut on a lathe. The tool feeds (advances) 364 inch each time the stock turns once (1 revolution). How many revolutions will the stock make when the tool advances 34 inch?A groove 1516 inch deep is to be milled in a steel plate. How many cuts are required if each cut is 316 inch deep?This sheet metal section shown in Figure 5-5 has five sets of drilled holes: A, B, C, D, and E. The holes within a set are equally spaced in the horizontal direction. Compute the horizontal distance between two consecutive holes for each set. All dimensions are in inches. A=_B=_C=_D=_E=_The feed on a lathe is set for 164 inch. How many revolutions does the work make when the tool advances 334 inches?How many complete pieces can be blanked from a strip of steel 2714 feet long if each stamping requires 2316 inches of material plus an allowance of 516 inch at one end of the strip? (12inches=1foot)A slot is milled the full length of a steel plate that is 314 feet long. This operation takes a total of 4116 minutes. How many feet of steel are cut in 1 minute?How many binding posts can be cut from a brass rod 4212 inches long if each post is 178 inches long? Allow 332 inch waste for each cut.A bar of steel 2314 feet long weighs 11012 pounds. How much does a 1 -foot length of bar weigh?A single-threaded (or single-start) square-thread screw is shown in Figure 5-6. The lead of a screw is the distance that the screw advances in one turn (revolution). The lead is equal to the pitch in a single-threaded screw. Given the number of turns and the amount of screw advance, determine the leads.A double-threaded square-thread screw is shown in Figure 5-7. The pitch of a screw is the distance from the top of one thread to the same point on the top of the next thread. The lead is the distance the screw advances for each complete turn or revolution of the screw. In a double-threaded screw, the lead is twice the pitch. Given the number of turns and the amount of screw advance, determine the lead and pitch.Express 316,74,12, and 58 as equivalent fractions having the lowest common denominator.Subtract 751611332 .Multiply 218312 .Divide 764916 .Determine the length A in Figure 6-3. All dimensions are in inches.Determine the length B in Figure 6-3. All dimensions are in inches.Solve the following examples of combined operations in Exercises 7 through 9. 7.a. 12+31614 b. 3782316+38 c. 310+8253125 d. 27223+416 e. 3218+2316348ASolve the following examples of combined operations in Exercises 7 through 9. 9.a. 342314 b. (3423)14 c. 412(312+23)58 d. 712214+412 e. 712(214+412)Find the value of the complex fractions in Exercises 10 through 12. 10.a. 3412 b. 3785 c. 1516218Find the value of the complex fractions in Exercises 10 through 12. 10. a. 13+56334 b. 634278312+1116 c. 1012124214Find the value of the complex fractions in Exercises 10 through 12. 10. a. 1225214 b. 34214112 c. 213+512315123Refer to the shaft shown in Figure 6-4. Determine the missing dimensions in the table using the dimensions given. All dimensions are in inches.The outside diameter of an aluminum tube is 3116inches. The wall thickness is 532 inch. What is the inside diameter?Four studs of the following lengths in inches are to be machined from bar stock: 134,178,2516 and 11132 . Allow 18inch waste for each cut and 132inch on each end of each stud for facing. What is the shortest length of bar stock required so that only three cuts are needed?Find dimensions A, B, C, and D Of the idler bracket in Figure 6-5. All dimensions are in inches. A=_B=_C=_D=_How long does it take to cut a distance of 114feet along a shaft that turns 150 revolutions per minute with a tool feed of 132inch per revolution?An angle iron 4712inches long has two drilled holes that are equally spaced from the center of the piece. The center distance between the two holes is 1978 inches. What is the distance from each end of the piece to the center of the closest hole?A tube has an inside diameter of 34inch and a wall thickness of 116 inch. The tube is to be fitted in a drilled hole in a block. What diameter hole should be drilled in the block to give 164inch total clearance?Two views of a mounting block are shown in Figure 6-6. Determine dimensions AG. All dimensions are in inches. A=_B=_C=_D=_E=_F=_G=_The composition of an aluminum alloy by weight is 1920 aluminum and 150copper. The only other element in the alloy is magnesium. How many pounds of magnesium are required for casting 125 pounds of alloy?Pieces of the following lengths are cut from a 15-inch steel bar: 212,134,178and 516 .Allowing 18inch waste for each cut, what is the length of bar left after the pieces are cut?Use Figure 9-4 to answer Exercises 16. All dimensions are in inches. 1. Distance A=_Use Figure 9-4 to answer Exercises 16. All dimensions are in inches. 2. Distance B=_Use Figure 9-4 to answer Exercises 16. All dimensions are in inches. 3. Distance C=_Use Figure 9-4 to answer Exercises 16. All dimensions are in inches. 4. Distance D=_Use Figure 9-4 to answer Exercises 16. All dimensions are in inches. 5. Distance E=_Use Figure 9-4 to answer Exercises 16. All dimensions are in inches. 6. Distance F=_Find the decimal value of each of the distances A, B, C, D, and E in Figure 9-5. Note the total unit value of the line. A=_B=_C=_D=_E=_Find the decimal value of each of the distances A, B, C, D, and E in Figure 96. Note the total unit value of the lines. A=_B=_C=_D=_E=_Find the decimal value of each of the distances A, B, C, D, and E in Figure 97. Note the total unit value of the line. A=_B=_C=_D=_E=_In each of the following exercises, the value on the left must be multiplied by one of the following numbers: 0.0001; 0.001; 0.01; 0.1; 10; 100; 1000; or 10,000 in order to obtain the value on the right of the equal sign. Determine the proper number. 10. 0.9_=0.0009In each of the following exercises, the value on the left must be multiplied by one of the following numbers: 0.0001; 0.001; 0.01; 0.1; 10; 100; 1000; or 10,000 in order to obtain the value on the right of the equal sign. Determine the proper number. 11. 0.7_=0.007In each of the following exercises, the value on the left must be multiplied by one of the following numbers: 0.0001; 0.001; 0.01; 0.1; 10; 100; 1000; or 10,000 in order to obtain the value on the right of the equal sign. Determine the proper number. 12. 0.03_=0.3In each of the following exercises, the value on the left must be multiplied by one of the following numbers: 0.0001; 0.001; 0.01; 0.1; 10; 100; 1000; or 10,000 in order to obtain the value on the right of the equal sign. Determine the proper number. 13. 0.0003_=0.003In each of the following exercises, the value on the left must be multiplied by one of the following numbers: 0.0001; 0.001; 0.01; 0.1; 10; 100; 1000; or 10,000 in order to obtain the value on the right of the equal sign. Determine the proper number. 14. 0.135_=0.00135In each of the following exercises, the value on the left must be multiplied by one of the following numbers: 0.0001; 0.001; 0.01; 0.1; 10; 100; 1000; or 10,000 in order to obtain the value on the right of the equal sign. Determine the proper number. 15. 4_=0.4In each of the following exercises, the value on the left must be multiplied by one of the following numbers: 0.0001; 0.001; 0.01; 0.1; 10; 100; 1000; or 10,000 in order to obtain the value on the right of the equal sign. Determine the proper number. 16. 0.0643_=0.000643In each of the following exercises, the value on the left must be multiplied by one of the following numbers: 0.0001; 0.001; 0.01; 0.1; 10; 100; 1000; or 10,000 in order to obtain the value on the right of the equal sign. Determine the proper number. 17. 0.0643_=6.43In each of the following exercises, the value on the left must be multiplied by one of the following numbers: 0.0001; 0.001; 0.01; 0.1; 10; 100; 1000; or 10,000 in order to obtain the value on the right of the equal sign. Determine the proper number. 18. 0.00643_=64.3In each of the following exercises, the value on the left must be multiplied by one of the following numbers: 0.0001; 0.001; 0.01; 0.1; 10; 100; 1000; or 10,000 in order to obtain the value on the right of the equal sign. Determine the proper number. 19. 643_=0.643Write these numbers as words. 20. 0.064Write these numbers as words. 21. 0.007Write these numbers as words. 22. 0.132Write these numbers as words. 23. 0.0035Write these numbers as words. 24. 0.108Write these numbers as words. 25. 1.5Write these numbers as words. 26. 10.37Write these numbers as words. 27. 16.0007Write these numbers as words. 28. 4.0012Write these numbers as words. 29. 13.103Write these words as numbers. 30. eighty-four ten-thousandthsWrite these words as numbers. 31. three tenthsWrite these words as numbers. 32. forty-three and eight hundredthsWrite these words as numbers. 33. four and five hundred-thousandthsWrite these words as numbers. 34. thirty-five ten-thousandthsWrite these words as numbers. 35. ten and two tenthsWrite these words as numbers. 36. five and one ten-thousandthWrite these words as numbers. 37. twenty and seventy-one hundredthsWrite these numbers as words using the alternative method for reading decimal fractions. 38. 15.086Write these numbers as words using the alternative method for reading decimal fractions. 39. 12.104Write these numbers as words using the alternative method for reading decimal fractions. 40. 903.802Write these numbers as words using the alternative method for reading decimal fractions. 41. 3047.59Write these numbers as words using the alternative method for reading decimal fractions. 42. 0.208Write these numbers as words using the alternative method for reading decimal fractions. 43. 0.715Write these numbers as words using the alternative method for reading decimal fractions. 44. 380.1Write these numbers as words using the alternative method for reading decimal fractions. 45. 97.003Write these words as numbers. 46. forty-three and eight thousandthsWrite these words as numbers. 47. fourteen and five hundred thousandthsWrite these words as numbers. 48. thirty-seven and twenty-five thousandthsWrite these words as numbers. 49. one hundred six and fifty-three thousandthsWrite these words as numbers. 50. seventy-six thousandthsWrite these words as numbers. 51. four and one hundred five thousandthsEach of the following common fractions has a denominator that is a power of 10. Write the equivalent decimal fraction for each. 52. 910Each of the following common fractions has a denominator that is a power of 10. Write the equivalent decimal fraction for each. 53. 710,000Each of the following common fractions has a denominator that is a power of 10. Write the equivalent decimal fraction for each. 54. 17100Each of the following common fractions has a denominator that is a power of 10. Write the equivalent decimal fraction for each. 55. 43100Each of the following common fractions has a denominator that is a power of 10. Write the equivalent decimal fraction for each. 56. 611000Each of the following common fractions has a denominator that is a power of 10. Write the equivalent decimal fraction for each. 57. 99910,000Each of the following common fractions has a denominator that is a power of 10. Write the equivalent decimal fraction for each. 58. 731000Each of the following common fractions has a denominator that is a power of 10. Write the equivalent decimal fraction for each. 59. 1973100,000Each of the following common fractions has a denominator that is a power of 10. Write the equivalent decimal fraction for each. 60. 47,375100,000Find the decimal value of the distance A in Figure 10-1. Note the total unit value of the line.Find the decimal value of the distance B in Figure 10-2. Note the total unit value of the line.Find the decimal value of the distance C in Figure 10-3. Note the total unit value of the line.Use Figure 10-4 to answer Exercises 4 and 5. All dimensions are in inches. 4. Find the length of D in Figure 10-4.Use Figure 10-4 to answer Exercises 4 and 5. All dimensions are in inches. 5. Determine the length of E in Figure 10-4.Multiply 413234 .Round the following decimals to the indicated number of decimal places. 7.0.63165 (3 places)Round the following decimals to the indicated number of decimal places. 8.0.1247 (2 places)Round the following decimals to the indicated number of decimal places. 9.0.23975 (3 places)Round the following decimals to the indicated number of decimal places. 10.0.01723 (3 places)11ARound the following decimals to the indicated number of decimal places. 12.0.90039 (2 places)13ARound the following decimals to the indicated number of decimal places. 14.0.0006 (3 places)15ARound the following decimals to the indicated number of decimal places. 16.0.099 (3 places)17AExpress the common fractions as decimal fractions. Express the answer to 4 decimal places. 18. 7819AExpress the common fractions as decimal fractions. Express the answer to 4 decimal places. 20. 3421AExpress the common fractions as decimal fractions. Express the answer to 4 decimal places. 22. 101123AExpress the common fractions as decimal fractions. Express the answer to 4 decimal places. 24. 476425AExpress the common fractions as decimal fractions. Express the answer to 4 decimal places. 26. 1227AExpress the common fractions as decimal fractions. Express the answer to 4 decimal places. 28. 3829AFive pieces are cut from the length of round stock shown in Figure 10-6. After the pieces are cut, the remaining length is thrown away. What decimal fraction of the original length of round stock (17 inches) is the length that is thrown away? All dimensions are in inches.31AExpress the following decimal fractions as common fractions. Reduce to lowest terms. 32. 0.87533AExpress the following decimal fractions as common fractions. Reduce to lowest terms. 34. 0.435AExpress the following decimal fractions as common fractions. Reduce to lowest terms. 36. 0.6Express the following decimal fractions as common fractions. Reduce to lowest terms. 37. 0.687Express the following decimal fractions as common fractions. Reduce to lowest terms. 38. 0.67Express the following decimal fractions as common fractions. Reduce to lowest terms. 39. 0.003Express the following decimal fractions as common fractions. Reduce to lowest terms. 40. 0.008Express the following decimal fractions as common fractions. Reduce to lowest terms. 41. 0.502Express the following decimal fractions as common fractions. Reduce to lowest terms. 42. 0.99Express the following decimal fractions as common fractions. Reduce to lowest terms. 43. 0.4375Express the following decimal fractions as common fractions. Reduce to lowest terms. 44. 0.2113Express the following decimal fractions as common fractions. Reduce to lowest terms. 45. 0.8717Express the following decimal fractions as common fractions. Reduce to lowest terms. 46. 0.0005Express the following decimal fractions as common fractions. Reduce to lowest terms. 47. 0.03Express the following decimal fractions as common fractions. Reduce to lowest terms. 48. 0.09375Express the following decimal fractions as common fractions. Reduce to lowest terms. 49. 0.237Express the following decimal fractions as common fractions. Reduce to lowest terms. 50. 0.45Express the following decimal fractions as common fractions. Reduce to lowest terms. 51. 0.045Express the following decimal fractions as common fractions. Reduce to lowest terms. 52. 0.0045Solve the following. 53. In Figure 108, what common fractional part of distance B is distance A? All dimensions are in inches.In Figure 109, what common fractional part of diameter C is diameter D? All dimensions are in feet.What common fractional part of distance A is each distance listed in Figure 1010? All dimensions are in inches. a. Distance B=_ b.Distance C=_ c.Distance D=_ d.Distance E=_ e.Distance F=_Round 0.53745 to 3 decimal places.Express the common fraction 916as a decimal fraction.Express the decimal fraction 0.2472 as a common fraction in lowest terms.Determine the quotient of 234158 . Use Figure 113 to answer Exercises 5 and 6. All dimensions are in inches.5AAfter the five pieces have been cut from the round stock in Figure 113, what is the length that is thrown away?Add the numbers in Exercises 7 through 9. 7.a. 0.375+10.4+5 b. 0.003+0.13795 c. 0.375+0.8+0.12 d. 4.187+0.932+0.01 e. 363.13+18.2+0.027Add the numbers in Exercises 7 through 9. 8.a. 4+0.4+0.04+0.004 b. 87+0.0239+7.23 c. 0.0001+0.1+0.01 d. 4.705+0.0937+0.98 e. 0.063+4.9+3249A10A11AThree cuts are required to tum a steel shaft The depths of the cuts, in millimeters, are 6.25, 3.18, and 0.137. How much stock has been removed per side? Round answer to 2 decimal places.13ASubtract the numbers in Exercises 14 through 16. Where necessary, round answers to 3 decimal places. 14.a. 0.5270.4136 b. 0.3190.0127 c. 2.3080.7859 d. 0.30.299 e. 0.43270.41215A16A17ARefer to the plate shown in Figure 117 and determine the following distances. All dimensions are in inches. a. The horizontal center distance between the 0.265" diameter hole and the 0.150" diameter hole. b. The horizontal center distance between the 0.385" diameter hole and the 0.150" diameter hole. c. The distance between edge A and the center of the 0.725" diameter hole. d. The distance between edge B and the center of the 0.385" diameter hole. e. The distance between edge B and the center of the 0.562" diameter hole.Round 0.42538 to 2 decimal places.Express the decimal fraction 0.056 as a common fraction in lowest terms.Add 0.032+0.23+0.0032 . Use Figure 122 to answer Exercises 4 through 6. All dimensions are in inches.Determine the length of A.Determine the length of B.Determine the length of C.Multiply the numbers in Exercises 7 through 9. Where necessary, round the answers to 4 decimal places. 7. a. 4.6930.012 b. 2.21.5 c. 400.15 d. 6.430.26Multiply the numbers in Exercises 7 through 9. Where necessary, round the answers to 4 decimal places. 8.a. 12.51.4 b. 24.46.5 c. 324.5 d. 0.956.4Multiply the numbers in Exercises 7 through 9. Where necessary, round the answers to 4 decimal places. 9.a. 0.840.25 b. 12.360.08 c. 0.0829.05 d. 0.007412.05A section of a spur gear is shown in Figure 123. Given the circular pitches for various gear sizes, determine the working depths, clearances, and tooth thicknesses. Round the answers to 4 decimal places. Workingdepth=0.6366CircularpitchClearance=0.05CircularpitchTooththickness=0.5CircularpitchDetermine diameters A, B, C, D, and E of the shaft in Figure 124. All dimensions are in millimeters. A=_B=_C=_D=_E=_Determine dimension x for each of these figures. a. All dimensions are in inches. b. All dimensions are in millimeters. c. Round the answer to 3 decimal places. All dimensions are in inches. d. Round the answer to 3 decimal places. All dimensions are in inchesThe length, L, of the point on any standard 118° included angle drill, as shown in Figure 12-5, can be calculated using the formula L=0.3 O where represents the diameter of the drill. Determine the lengths of the following drill points with the given diameters. Round to 3 decimal places for inches and 1 decimal place for millimeters. a. 12 b. 14 c. 38 d. 10 mm e. 25 mm f. 45 mmThe length, L, of the point on any standard 82° included angle drill can be calculated using the formula L = 0.575 , where represents the diameter of the drill. Determine the lengths of the following drill points with the given diameters. Round to 3 decimal places for inches and 1 decimal place for millimeters. a. 12 b. 14 c. 38 d. 10 mm e. 25 mm f. 45 mm1AExpress the common fraction 44125 as a decimal fraction.3AUse Figure 132 to answer Exercises 4 through 6. All dimensions are in millimeters (mm). 4. Determine the length of A.Use Figure 132 to answer Exercises 4 through 6. All dimensions are in millimeters (mm). 5. Determine the length of B.Use Figure 132 to answer Exercises 4 through 6. All dimensions are in millimeters (mm). 6. Determine the length of C.7ADivide the numbers in Exercises 7 through 9. Express the answers to the indicated number of decimal places. 8.a. 12.450.05(2 places) b. 24.00160.32(3 places) c. 420.065(4 places) d. 2.0060.075(4 places)Divide the numbers in Exercises 7 through 9. Express the answers to the indicated number of decimal places. 9.a. 1.0230.09(3 places) b. 16.33.8(2 places) c. 370.273(2 places) d. 0.0050.81(4 places)As indicated in Figure 133, rack sizes are given according to diametral pitch. Given four different diametral pitches, find the linear pitch and the whole depth of each rack to 4 decimal places. All dimensions are in inches. LinearPitch=3.1416DiametralPitchWholeDepth=2.157DiametralPitchFour sets of equally spaced holes are shown in the machined plate in Figure 13-4. Determine dimensions A, B, C, and D to 2 decimal places. All dimensions are in millimeters. A=_B=_C=_D=_A cross-sectional view of a bevel gear is shown in Figure 13-5. Given the diametral pitch and the number of gear teeth, determine the pitch diameter, the addendum, and thededendum. Round the answers to 4 decimal places.How many complete bushings each 14.60 millimeters long can be cut from a bar of bronze that is 473.75 millimeters long? Allow 3.12 millimeters waste for each piece.A shaft is being cut in a lathe. The tool feeds (advances) 0.015 inch each time the shaft turns once (1 revolution). How many revolutions will the shaft turn when the tool advances 3.120 inches? Round the answer to 2 decimal places.How much stock per stroke is removed by the wheel of a surface grinder if a depth of 4.725 millimeters is reached after 75 strokes? Round the answer to 3 decimal places.An automatic screw machine is capable of producing one piece in 0.02 minute. How many pieces can be produced in 1.25 hours?The bolt in Figure 136 has 7.7 threads. Determine the pitch to 3 decimal places. All dimensions are in inches.The block in Figure 13-7 has a threaded hole with a 0.0625-inch pitch. Determine the number of threads for the given depth to 1 decimal place. All dimensions are in inches.The length of a side of a square equals the distance from point A to point B divided by 1.4142. Determine the length of a side of the square plate in Figure 13-8 to 2 decimal places. All dimensions are in millimeters.All sections of the block in Figure 13-9 are equal in length. Determine the length A to the nearest thousandth millimeter.Subtract 7516278 .Multiply 7238 . Express the result as a mixed number and as a decimal fraction.Multiply 1.7022.35 .Use Figure 14-5 to answer Exercises 4 through 6. All dimensions are in millimeters (mm). 4. Determine the length of A.Use Figure 14-5 to answer Exercises 4 through 6. All dimensions are in millimeters (mm). 5. Determine the length of B.Use Figure 14-5 to answer Exercises 4 through 6. All dimensions are in millimeters (mm). 4. Determine the length of C.Raise the following numbers to the indicated power. 8. 18Raise the following numbers to the indicated power. 8. 18Raise the following numbers to the indicated power. 9. 1004Raise the following numbers to the indicated power. 10. (23)3Raise the following numbers to the indicated power. 11. 233Raise the following numbers to the indicated power. 12. 343Raise the following numbers to the indicated power. 13. (0.37)2Raise the following numbers to the indicated power. 14. (20.7+7.2)2Raise the following numbers to the indicated power. 15. (28.87.2)3In the following table, the lengths of the sides of squares are given. Determine the areas of the squares. Round the answers to 2 decimal places where necessary. A=s2where A=areas=side 16.In the following table, the lengths of the sides of squares are given. Determine the areas of the squares. Round the answers to 2 decimal places where necessary. A=s2where A=areas=side 17.In the following table, the lengths of the sides of squares are given. Determine the areas of the squares. Round the answers to 2 decimal places where necessary. A=s2where A=areas=side 18.In the following table, the lengths of the sides of squares are given. Determine the areas of the squares. Round the answers to 2 decimal places where necessary. A=s2where A=areas=side 19.In the following table, the lengths of the sides of squares are given. Determine the areas of the squares. Round the answers to 2 decimal places where necessary. A=s2where A=areas=side 20.