Concept explainers
Solve the following exercises based on Principles 11-14, although an exercise may require the application of two or more of any of the principles. Round the answers to 3 decimal places where necessary unless otherwise stated.
Find
All dimensions are in inches.
a. If ∠1 = 240°0', find
b. If
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Mathematics For Machine Technology
- Solve the following exercises based on Principles 18 through 21, although an exercise may require the application of two or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. Three posts are mounted on the fixture shown. Each post is tangent tothe arc made by the 0.650-inch radius. Determine (a) dimension A and(b) dimension B. Note: The fixture is symmetrical (identical) on each side of the horizontalcenterline ( CL ). All dimensions are in inches.arrow_forwardConsidering that the consecutive dials on the natural gas meter rotate in opposite directions, what is the current reading in cubic feet of usage? The initial direction is clockwise.arrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If DC = 35, find AB. b. If AB = 127, find DC.arrow_forward
- Solve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If EF=84, find (1) EFD (2) HF (3) 1 b. If EF=79, find (1) EFD (2) HF (3) 1arrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application of two or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If x = 24.93 mm and y = 28.95 mm, find Dia A. b. If x=78.36 mm y = 114.48 mm, find Dia A.arrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If Dia A = 3.756" and Dia B = 1.622", find x. b. If x = 0.975" and Dia B = 1.026", find Dia A.arrow_forward
- Solve the following exercises based on Principles 18 through 21, although an exercise may require the application of two or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If 1 = 6700' and 2 =9300', find: (1) AB (2) DE b.If 1 = 7500' and 2 =8500', find: (1) AB (2) DEarrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If1 = 63, find (1) HK (2)HM b. If1 = 59.47, find (1) DC (1) HK (2)HMarrow_forwardDetermine the distance AB if CO = 19.8 mm.arrow_forward
- Solve the following exercises using a combination of the Law of Cosines and the Law of Sines. All dimensions are in millimeters. a. Find x. b. Find y.arrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If 1 = 76.00, find (1) DC (2)EOD (3) AC b. If 1 = 63.76, find (1) DC (2)EOD (3) BDarrow_forwardSolve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute. a. If 1 = 25, find MPT= 95, find (1) KTP (2) PT (3) MP b. If 1 = 1730', find MPT= 103, find (1) KTP (2) PT (3) MParrow_forward
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