## Solutions for Mathematics For Machine Technology

Problem 1A:

Write the fractional part that each length, A through F, represents of the total shown on the scale...Problem 2A:

A welded support base is cut into four pieces as shown in Figure 14. What fractional part of the...Problem 3A:

The circle in Figure 1-5 is divided into equal parts. Write the fractional part represented by each...Problem 4A:

The circle in Figure 1-5 is divided into equal parts. Write the fractional part represented by each...Problem 8A:

Reduce numbers to lowest terms in Exercises 7 and 8. 8.a. 146 b. 248 c. 6515 d. 25150 e. 14105Problem 9A:

Express the fractions in Exercises 9 and 10 as thirty-seconds. 9. a. 14 b. 34 c. 118 d. 716Problem 10A:

Express the fractions in Exercises 9 and 10 as thirty-seconds. 10. a. 2116 b. 192 c. 19716 d. 218Problem 11A:

In Exercises 11 and 12, express the given fractions as equivalent fractions with the indicated...Problem 12A:

In Exercises 11 and 12, express the given fractions as equivalent fractions with the indicated...Problem 13A:

Express the mixed numbers in Exercises 13 and 14 as improper fractions. 13.a. 223 b. 178 c. 525 d....Problem 14A:

Express the mixed numbers in Exercises 13 and 14 as improper fractions. 14.a. 1013 b. 945 c. 10012...Problem 15A:

Express the improper fractions in Exercises 15 and 16 as mixed numbers. 15.a. 53 b. 212 c. 98 d. 874...Problem 16A:

Express the improper fractions in Exercises 15 and 16 as mixed numbers. 16. a. 12732 b. 5715 c. 1509...Problem 17A:

Express the mixed numbers in Exercises 17 and 18 as improper fractions. Then express the improper...# Browse All Chapters of This Textbook

Chapter 1 - Introduction To Common Fractions And Mixed NumbersChapter 2 - Addition Of Common Fractions And Mixed NumbersChapter 3 - Subtraction Of Common Fractions And Mixed NumbersChapter 4 - Multiplication Of Common Fractions And Mixed NumbersChapter 5 - Division Of Common Fractions And Mixed NumbersChapter 6 - Combined Operations Of Common Fractions And Mixed NumbersChapter 9 - Introduction To Decimal FractionsChapter 10 - Rounding Decimal Fractions And Equivalent Decimal And Common FractionsChapter 11 - Addition And Subtraction Of Decimal FractionsChapter 12 - Multiplication Of Decimal Fractions

Chapter 13 - Division Of Decimal FractionsChapter 14 - PowersChapter 15 - RootsChapter 16 - Table Of Decimal Equivalents And Combined Operations Of Decimal FractionsChapter 19 - Achievement Review—section OneChapter 20 - Ratio And Propor TionChapter 21 - Direct And Inverse ProportionsChapter 22 - Introduction To PercentsChapter 23 - Basic Calculations Of Percentages, Percents, And RatesChapter 24 - Percent Practical ApplicationsChapter 25 - Achievement Review—section TwoChapter 26 - Customary (english) Units Of MeasureChapter 27 - Metric Units Of Linear MeasureChapter 28 - Degree Of Precision, Greatest Possible Error, Absolute Error, And Relative ErrorChapter 29 - Tolerance, Clearance, And InterferenceChapter 30 - Customary And Metric Steel RulesChapter 31 - Customary Vernier Calipers And Height GagesChapter 32 - Metric Vernier Calipers And Height GagesChapter 33 - Digital Calipers And Height GagesChapter 34 - Customary MicrometersChapter 35 - Metric Vernier MicrometersChapter 36 - Digital MicrometersChapter 37 - Customary And Metric Gage BlocksChapter 38 - Achievement Review—section ThreeChapter 39 - Symbolism And Algebraic ExpressionsChapter 40 - Signed NumbersChapter 41 - Algebraic Operations Of Addition, Subtraction, And MultiplicationChapter 42 - Algebraic Operations Of Division, Powers, And RootsChapter 43 - Introduction To EquationsChapter 44 - Solution Of Equations By The Subtraction, Addition, And Division Principles Of EqualityChapter 45 - Solution Of Equations By The Multiplication, Root, And Power Principles Of EqualityChapter 46 - Solution Of Equations Consisting Of Combined Operations And Rearrangement Of FormulasChapter 47 - Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting TimeChapter 48 - Applications Of Formulas To Spur GearsChapter 49 - Achievement Review—section FourChapter 50 - Lines And Angular MeasureChapter 51 - Protractors—simple Semicircular And VernierChapter 52 - Types Of Angles And Angular Geometric PrinciplesChapter 53 - Introduction To TrianglesChapter 54 - Geometric Principles For Triangles And Other Common PolygonsChapter 55 - Introduction To CirclesChapter 56 - Arcs And Angles Of Circles, Tangent CirclesChapter 57 - Fundamental Geometric ConstructionsChapter 58 - Achievement Review—section FiveChapter 59 - Areas Of Rectangles, Parallelograms, And TrapezoidsChapter 60 - Areas Of TrianglesChapter 61 - Areas Of Circles, Sectors, And SegmentsChapter 62 - Volumes Of Prisms And CylindersChapter 63 - Volumes Of Pyramids And ConesChapter 64 - Volumes Of Spheres And Composite Solid FiguresChapter 65 - Achievement Review—section SixChapter 66 - Introduction To Trigonometric FunctionsChapter 67 - Analysis Of Trigonometric FunctionsChapter 68 - Basic Calculations Of Angles And Sides Of Right TrianglesChapter 69 - Simple Practical Machine ApplicationsChapter 70 - Complex Practical Machine ApplicationsChapter 71 - The Cartesian Coordinate SystemChapter 72 - Oblique TrianglesChapter 73 - Achievement Review—section SevenChapter 74 - Introduction To Compound AnglesChapter 75 - Drilling And Boring Compound-angular HolesChapter 76 - Drilling And Boring Compound-angular HolesChapter 77 - Machining Compound-angular SurfacesChapter 78 - Computing Angles Made By The Intersection Of Two Angular SurfacesChapter 79 - Computing Compound Angles On Cutting And Forming ToolsChapter 80 - Achievement Review—section EightChapter 81 - Introduction To Computer Numerical Control (cnc)Chapter 82 - Control Systems, Absolute Positioning, Incremental PositioningChapter 83 - Location Of PointsChapter 84 - Binary Numeration SystemChapter 85 - Hexadecimal Numeration SystemChapter 86 - Bcd (binary Coded Decimal) Numeration SystemsChapter 87 - An Introduction To G- And M-codes For Cnc ProgrammingChapter 88 - Achievement Review—section Nine

# Sample Solutions for this Textbook

We offer sample solutions for Mathematics For Machine Technology homework problems. See examples below:

Chapter 1, Problem 1AChapter 1, Problem 16AChapter 2, Problem 1AGiven: All the dimensions are shown in below Fig: Concept used: Mark all the corner points as k, l,...Chapter 3, Problem 1AChapter 3, Problem 13AChapter 4, Problem 1AGiven: The number is 123×6310. Concept used: Convert mixed fraction into improper fractions....Chapter 5, Problem 1A

Chapter 5, Problem 13AChapter 5, Problem 23AChapter 6, Problem 1AGiven: The expression is 79×(23+356). Calculation: The combined operations of the given expression...Chapter 6, Problem 13AChapter 9, Problem 1AChapter 10, Problem 1AGiven: Calculation: Since 1 ft=12 in. The figure with all the dimensions are in inches is shown...Chapter 11, Problem 1AGiven: Thickness =0.014 in. Calculation: In Figure a customary fleer gauge is given with different...Chapter 12, Problem 1AChapter 12, Problem 10AGiven: The expression is 5316+456 Calculation: Convert the mixed fraction into lowest form thus,...Given: The expression is 0.69÷0.432 Calculation: First remove the decimal of the given numbers and...Chapter 13, Problem 12AChapter 14, Problem 1AGiven information: A washer is given as below indicating dimensions in millimeter. Calculation: As...Chapter 14, Problem 60AGiven information: A casting is given with dimensions in millimeter as below. Calculation: Here we...Chapter 15, Problem 1AGiven information: A cube is given whose volume is 216mm3. Calculation: As we know that volume of a...Given information: A circle is given whose area is 50.24 square inch. Calculation: As we know that...Given information: A sphere is given whose volume is 14.1372 cubic inch. Calculation: As we know...Chapter 16, Problem 1AGiven information: The formula to calculate the dimension of over wires as per American national...Given information: The formula for calculating the depth of round stock piece is given by -...Chapter 19, Problem 1ARGiven information: An expression is given as 18+58 Calculation: We have been given an expression as...Given information: An expression is given as 12×58 Calculation: We have been given an expression as...Given information: An expression is given as 0.925×0.6 Calculation: We have been given an expression...Chapter 20, Problem 1AGiven: Diameters are given in the table below: Calculation: Divide E by F to get the ratio EF as...Given: The given figure is as follows: Concept used: The dimension can be calculated by subtracting...Given: The number of times the pin extension is 1.25 and diameter of the pin is 7.94 mm. Concept...Chapter 20, Problem 45AChapter 21, Problem 1AChapter 21, Problem 16AGiven information: A sheet if steel 280 centimeter long weighs 165 kilograms. A 92.4 centimeter long...Chapter 23, Problem 1AChapter 24, Problem 1AGiven information: Below table shows the total pieces manufactured along with rework and scrap...Given information: Initial temperature of heated steel is 13000 F and color is dark red. Color...Given information: Below table is given for amount of carbon needed for different tool. Amount of...Given information: Manufacturing cost consists of labor costs, material cost and overhead cost....Given information: A ratio is given as 15:32. Calculation: We have been given a ratio as 15:32....Given information: Rate is given as 60% and percentage is 20. Need to find base. Calculation: As we...Given information: Base is given as 24 and percentage is 18. Need to find rate(percent)....Given information: A drill and impact driver kit is listed for $139.95 and the buyer has a coupon...Given: The given addition is, 7 ft 312 in.+5 ft 238 in. Calculation: Given: 7 ft 312 in.+5 ft 238...Given: The given addition is, 3 ft 9 in.+4 ft 7 in. Calculation: Given: 3 ft 9 in.+4 ft 7 in. Add...Given Information: Given, a unit in one system, 198 inches Calculation: To express a unit in one...Given Information: Given, a unit in one system, 45.000 centimeters. Calculation: To express a unit...Given Information: Given,the part shown in figure is to be made in a machine shop using decimal-inch...Given Information: Given,the shaft shown in figure is dimensioned in inches. Calculation: To express...Given Information: Given, 42792.6 millimeters Calculation: To express a unit in one system as an...Given information: The number to calculate the degree of precision is 14.304 mm. Draw the diagram to...Given information: The bilateral tolerance is 2.812″±0.006″. Write the expression for the maximum...Given information: The unilateral tolerance is 0.938″ −0.000″+0.010″. Write the expression for the...Given information: A shaft has a diameter of 0.4503" ±0.0006" Calculation: Basic shaft diameter is...Given: The line is given below: Concept used: Length is measured with the help of inch scale....Given: The line is given below: Concept used: Length is measured with the help of inch scale....Given: The Hole is given below: Concept used: Diameter is measured with the help of inch scale....Chapter 31, Problem 1AGiven information: The zero vernier graduation lies between these main scale graduations is...Chapter 31, Problem 26AChapter 32, Problem 1AChapter 33, Problem 1AChapter 34, Problem 1AGiven information: The micrometer scale reading is 0.001 in, the barrel reading is 0.175 in and the...Chapter 36, Problem 1ADigital micrometers can be used to measure the linear dimensions such as length, diameter and...Given: Length is 81 in. Concept used: Divide the length by twelve to convert inch to feet....Given: Dimension is 0.3784 in. Calculation: From above table: The combination of the blocks are...Given: Dimension is 67.53 mm. Calculation: From above table: The combination of the blocks are 1.03...Chapter 39, Problem 1AGiven: The value of b is 8, d is 4 and e is 2. Calculation: The algebraic expression is given below:...Given: The value of x is 12 and y is 6. Calculation: The algebraic expression is given below: 2xy+7...Given: The value of m is 5, p is 4 and r is 3. Calculation: The algebraic expression is given below:...Given: Calculation: Now, we put the given values in this equationGiven: (−3.86)(−2.1)(27.85)(−32.56) is given as a signed number Calculation:...Given: (−2)5 is given as a signed number Calculation: Here digit (-2) is indicated as power of 5...Given: (−23)3 is given as a signed number Calculation: Here digit (−23) is indicated as power of 3...Given: −17 is given as a signed number. Calculation: Here digit (-1) is expressed in seventh root....Given: +27−1253 is given as a signed number. Calculation: Here, digit +27−125 is expressed in cubic...Given: Equation is given in problem. Calculation: =−12513=−1253=−5×5×53=− (5)33 = [ (5) 3 ] 1 3 =...Given expression: −16−(8.4−5.2) Calculation: We need to subtract the given number,...Chapter 42, Problem 1AGiven: Original length of metal = 6.7520in. Linear expansion per unit of length per degree...Given: The term is (2x2−5y3)2. Calculation: The algebraic expression is calculated as follows: =(2 x...Given: Total angle is 180°. Calculation: From Figure 1, the value of ∠1=y, ∠2=2y, ∠3=3y−20° and...Chapter 44, Problem 1AChapter 45, Problem 1AChapter 46, Problem 1AGiven information: Given that, the dimensions shown in the figure can be found using these two...Given information: Given that, the dimensions shown in the figure can be found using these two...Given information: Given that, the measure of angles shown in the figure can be found using the...Given information: Given that, the formula is used in machine trade calculations,...Given information: The given equation is 6.083H2−12=5.8712.53. Calculation: We have been given the...Given information: The given equation is 12.85−3C2=7.43−31.29. Calculation: We have been given the...Given information: The given equation is P2−186.735.65P=−23.30P3.04. Calculation: We have been given...Chapter 47, Problem 1AGiven information: D = 0.750 inchN = 350C = 3.1416 DN12 Calculation: According to the formula given,...Given: Module (m) = 6.5mm Number of teeth = 18 Concept Used: module=pitch diameternumber of teeth...Given: Module (m) = 9 mm Number of teeth = 24 Concept Used: module=pitch diameternumber of teeth...Given: Module (m) = 2.5mm Number of teeth = 10 Concept Used: module=pitch diameternumber of teeth...Given: Module (m) = 3.75mm Number of teeth = 16 Concept Used: module=pitch diameternumber of teeth...Given: Module (m) = 10mm Number of teeth = 26 Concept Used: module=pitch diameternumber of teeth...Given problem: The sum of x and y reduced by c Calculation: We need to write the algebraic...Concept Used: (−1)n=1 , when n is even (−1)n=−1, when n is odd Calculation:...Given information: Diameter of shaft: D=2.300 inches Rotational speed of lathe: N=250 rpm...Chapter 50, Problem 1AThere are 360 degree in 1 circle.Chapter 51, Problem 1AChapter 52, Problem 1AChapter 52, Problem 16AChapter 53, Problem 1AChapter 54, Problem 1AChapter 54, Problem 7AChapter 54, Problem 30AChapter 55, Problem 1AGiven information: The diameter given is d = 6.500" The circumference of the circle is given by...Chapter 55, Problem 20AGiven information: The given value angle 1 is ∠1=107°18' The given value angle 2 is ∠2=41°21' Given...Chapter 56, Problem 1AChapter 56, Problem 20AChapter 56, Problem 22AChapter 56, Problem 26AChapter 57, Problem 1AGiven: An angle is 45°. Construction: Following are the steps of construction for angle 45°: Draw a...Chapter 58, Problem 1ARGiven information: The angle ∠CAD is 38°, angle ∠BEC is 40°, arc AC⌢ is 130° and arc CE⌢ is =134°....Given information: The angle AC⌢ is 116°, the angle EC⌢ is 140°, the angle EF⌢ is 64° and the angle...Chapter 59, Problem 1AConcept used: The template is divided into two trapeziums and a rectangle as shown. The area of two...Concept used: The metal sheet is divided into three trapeziums and a rectangle as shown. The area of...Chapter 60, Problem 1AChapter 60, Problem 31AChapter 61, Problem 1AChapter 62, Problem 1AChapter 63, Problem 1AGiven: Height h = 6 in. Base diameter of smaller piece D1 = 2 in. Base diameter of larger piece D2 =...Chapter 63, Problem 13AChapter 63, Problem 33AChapter 64, Problem 1AGiven information: The number of rib is 4 and the weighs of steel is 0.283 pound per cubic inch....Chapter 64, Problem 28AGiven information: Area of any shape is given as 356.4 square inches. Calculation: In the...Given information: Weight of steel: w=0.264 lb/cubic inch The shaft shown in the figure:...Chapter 67, Problem 1AGiven information: The given figure is When the side x is equal to side y, the value of sine...Chapter 68, Problem 1AChapter 69, Problem 1AChapter 69, Problem 8AChapter 69, Problem 9AChapter 69, Problem 10AChapter 70, Problem 1AGiven Information: ρ=7752 kg/cm3 Concept used: Width=density×volumeVolume of...Chapter 70, Problem 15AGiven Information: Concept used: tanθ=opposite sideadjacent side Let a be the projection of the...Given Information: θ= 208°50' In Quadrant 3, y is negative and x is negative. In the above triangle,...Chapter 72, Problem 1AGiven: A figure as above, in which different dimensions are shown. AB=77.023 mm, BC=CD=DE=21.755 mm...Given: A figure as above, in which different dimensions are shown. AB=7.315", BC=7.590", ∠A=∠X,...The below figure represent the schematic diagram of the system. Figure -(1) Write the expression of...Given: Angle shown in below figure: Calculation: Apply cos rule in triangle ABC as follows:...Chapter 73, Problem 1ARGiven information: The given figure is Calculation: Let us consider the triangle ABC, the length of...Given: Angle shown in below figure: Calculation: Apply cos rule in triangle ABC as follows:...Given information: The given figure is Calculation: Intriangle ABC, the length of side AB can be...Given information: The dimensions of rectangular solid block are AC=31.50 mmCD=24.75 mmBD=72.25 mm...Given information: We are given the following figure- Calculation: After observing the figure...Project auxiliary lines that form right triangles containing the given angles, the axis of the hole,...Project auxiliary lines that form right triangles containing the given angles, the axis of the hole,...Given information: ∠A=40∘38' and ∠B=47∘21'. Calculation: Applying the formula of ∠R and ∠T....The below figure represents the sketch of the sketch of a pyramid formed on surface of the extended...The below figure represents the sketch of the sketch of a pyramid formed on surface of the extended...Given information: A diagram with top view, front view and size view has given. Calculation:...Consider the angle ∠A=23°10′ of triangle ADE, the angle ∠B=35°00′ of triangle BDE. There are mainly...Consider the angle ∠A=37°.20′ of triangle ADE, the angle ∠B=71°5′ of triangle BDE. There are mainly...Given information: The top, front and right side views of a part are shown in the following figure-...Given information: The figure blow denotes the given figure with dimensions and different parts....Given: Three view of compound-angular hole are shown below: Concept used: Expression for the angle...Given: Three views of angular portion of tool are shown below: Concept used: Construct a rectangular...Given: The given coordinates are A (-5, -5), B (2, -3), C (9, -1), D (7,6), E (0,4) andF (-7,2)....Given: The length A is 170.00 mm. The length B is 130.00 mm. The length C is 122.40 mm. The length D...Given: The holes are shown below: Calculation: Coordinates of the holes byincremental positioningcan...Given: All the points are shown below: Calculation: Polar coordinates of the points can calculated...Given information: A binary number 110100.012. Calculation: The decimal number for integer value is...Given information: A binary number 1000010101011.100100100112. Calculation: Binary number system...Given information: A binary number 1100100101001011.10010010012. Calculation: Binary number system...Given information: A binary number 11101001001.10100100012. Calculation: Binary number system uses...Given information: A hexadecimal numbers F0E.9D516. Calculation: Binary number system uses the...Given information: A hexadecimal numbers B70905.F816. Calculation: Binary number system uses the...Given information: A BCD (8421) numbers 11 0110 0101.0000 0111. Calculation: BCD number system uses...Given information: An Excess-3 code numbers 1010 0110.0011 0101. Calculation: Excess-3 code is...Given information: An Excess-3 code numbers 101 1001 1000.0110 1100 1001. Calculation: Excess-3 code...Given information: A decimal numbers 143.810. Calculation: 2421 code is also called Aiken code. It...Given: Tool used should be #6. Tool starts with a rapid movement to point (0,0,50) using absolute...Given: The point is (6,−8). Calculation: The ordered pair (6,−8) represents a point which is 6 units...Given: The binary number is 1100012. Concept used: For conversion binary number into hexadecimal...

# More Editions of This Book

Corresponding editions of this textbook are also available below:

EBK MATHEMATICS FOR MACHINE TECHNOLOGY

8th Edition

ISBN: 9781337798396

Mathematics for Machine Technology

6th Edition

ISBN: 9781428336568

EBK MATHEMATICS FOR MACHINE TECHNOLOGY

7th Edition

ISBN: 8220100548161

EBK MATHEMATICS FOR MACHINE TECHNOLOGY

7th Edition

ISBN: 9781305177932

Mathematics for Machine Technology

7th Edition

ISBN: 9781133281450

EBK MATHEMATICS FOR MACHINE TECHNOLOGY

7th Edition

ISBN: 9780100548169

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