Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
10th Edition
ISBN: 9780133347777
Author: Robert A. Carman Emeritus, Hal M. Saunders
Publisher: PEARSON
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Textbook Question
Chapter 10.2, Problem 7BE
Find each of the following trig values. (Round to three decimal places.)
cos 87°
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Pidgeonhole Principle
1. The floor of x, written [x], also called the integral part, integer part, or greatest integer, is defined
as the greatest integer less than or equal to x. Similarly the ceiling of x, written [x], is the smallest
integer greater than or equal to x. Try figuring out the answers to the following:
(a) [2.1]
(b) [2]
(c) [2.9]
(d) [2.1]
(e) [2]
(f) [2.9]
2. The simple pidgeonhole principle states that, if you have N places and k items (k> N), then at
least one hole must have more than one item in it. We tried this with chairs and students: Assume you
have N = 12 chairs and k = 18 students. Then at least one chair must have more than one student on
it.
3. The general pidgeonhole principle states that, if you have N places and k items, then at least one
hole must have [] items or more in it. Try this out with
(a) n = 10 chairs and k = 15 students
(b) n = 10 chairs and k = 23 students
(c) n = 10 chairs and k = 20 students
4. There are 34 problems on these pages, and we…
Determine if the set of vectors is linearly independent or linearly dependent.
linearly independent
O linearly dependent
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Q2.2
1 Point
Determine if the set of vectors spans R³.
they span R³
they do not span R³
Save Answer
23
Q2.3
1 Point
Determine if the set of vectors is linearly independent or linearly dependent.
linearly independent
O linearly dependent
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1111
1110
Q2.4
1 Point
Determine if the set of vectors spans R4.
O they span R4
they do not span IR4
1000;
111O'
The everything combined problem
Suppose that a computer science laboratory has 15 workstations and 10 servers. A cable can be used to
directly connect a workstation to a server. For each server, only one direct connection to that server can be
active at any time.
1. How many cables would you need to connect each station to each server?
2. How many stations can be used at one time?
3. How many stations can not be used at any one time?
4. How many ways are there to pick 10 stations out of 15?
5. (This one is tricky) We want to guarantee that at any time any set of 10 or fewer workstations can
simultaneously access different servers via direct connections. What is the minimum number of direct
connections needed to achieve this goal?
Chapter 10 Solutions
Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Prob. 7AECh. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Prob. 9AECh. 10.1 - Prob. 10AE
Ch. 10.1 - Write the following angles in degrees and minutes....Ch. 10.1 - Write the following angles in degrees and minutes....Ch. 10.1 - Prob. 3BECh. 10.1 - Prob. 4BECh. 10.1 - Prob. 5BECh. 10.1 - Write the following angles in degrees and minutes....Ch. 10.1 - Prob. 7BECh. 10.1 - Write the following angles in degrees and minutes....Ch. 10.1 - Prob. 9BECh. 10.1 - Prob. 10BECh. 10.1 - Prob. 11BECh. 10.1 - Write the following angles in decimal degrees....Ch. 10.1 - Prob. 13BECh. 10.1 - Prob. 14BECh. 10.1 - Write the following angles in decimal degrees....Ch. 10.1 - Prob. 16BECh. 10.1 - Write the following angles in radians. (Round to...Ch. 10.1 - Write the following angles in radians. (Round to...Ch. 10.1 - Write the following angles in radians. (Round to...Ch. 10.1 - Write the following angles in radians. (Round to...Ch. 10.1 - Write the following angles in radians. (Round to...Ch. 10.1 - Write the following angles in radians. (Round to...Ch. 10.1 - Prob. 23BECh. 10.1 - Prob. 24BECh. 10.1 - Write the following angles in degrees. (Round to...Ch. 10.1 - Write the following angles in degrees. (Round to...Ch. 10.1 - Write the following angles in degrees. (Round to...Ch. 10.1 - Write the following angles in degrees. (Round to...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - Prob. 4CECh. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - C. Solve the following problems involving...Ch. 10.1 - Prob. 14CECh. 10.1 - Prob. 15CECh. 10.1 - Prob. 16CECh. 10.1 - Prob. 17CECh. 10.1 - C. Solve the following problems involving...Ch. 10.1 - Prob. 19CECh. 10.1 - Prob. 20CECh. 10.1 - Prob. 21CECh. 10.1 - Calculate the arc length S and area A for each of...Ch. 10.1 - Prob. 23CECh. 10.1 - Prob. 24CECh. 10.1 - Calculate the arc length S and area A for each of...Ch. 10.1 - Calculate the arc length S and area A for each of...Ch. 10.1 - Calculate the arc length S and area A for each of...Ch. 10.1 - Calculate the arc length S and area A for each of...Ch. 10.1 - Sheet Metal Trades A transition duct is...Ch. 10.1 - Prob. 2DECh. 10.1 - Landscaping In problem 2, if shrubs are planted...Ch. 10.1 - Construction The outfield fencing for a Little...Ch. 10.1 - Construction In problem 4, topsoil must be bought...Ch. 10.1 - Life Skills If a car travels 725 miles in 12.5...Ch. 10.1 - Prob. 7DECh. 10.1 - Prob. 8DECh. 10.1 - Prob. 9DECh. 10.1 - Prob. 10DECh. 10.1 - Prob. 11DECh. 10.1 - Plumbing For the connection shown here, calculate...Ch. 10.1 - Prob. 13DECh. 10.1 - Prob. 14DECh. 10.1 - Agriculture A grain conveyor 70 feet long is...Ch. 10.1 - Machine Trades Find the dimension a on the metal...Ch. 10.1 - Metalworking Find the depth d of the V-slot shown...Ch. 10.1 - Metalworking Find the length w in the casting...Ch. 10.1 - Roofing Find the length L of the rafter in the...Ch. 10.2 - For each of the following triangles, calculate the...Ch. 10.2 - For each of the following triangles, calculate the...Ch. 10.2 - For each of the following triangles, calculate the...Ch. 10.2 - For each of the following triangles, calculate the...Ch. 10.2 - For each of the following triangles, calculate the...Ch. 10.2 - For each of the following triangles, calculate the...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Prob. 9BECh. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Prob. 11BECh. 10.2 - Prob. 12BECh. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Prob. 15BECh. 10.2 - Prob. 16BECh. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Prob. 18BECh. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find each of the following trig values. (Round to...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Prob. 8CECh. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angel A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.2 - Find the acute angle A. (Round to the nearest...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - Prob. 6AECh. 10.3 - Prob. 7AECh. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - Prob. 4BECh. 10.3 - Prob. 5BECh. 10.3 - Prob. 6BECh. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each right triangle, find the missing quantity...Ch. 10.3 - For each problem, use the given information to...Ch. 10.3 - For each problem, use the given information to...Ch. 10.3 - Prob. 3CECh. 10.3 - For each problem, use the given information to...Ch. 10.3 - For each problem, use the given information to...Ch. 10.3 - For each problem, use the given information to...Ch. 10.3 - Prob. 7CECh. 10.3 - Prob. 8CECh. 10.3 - Prob. 9CECh. 10.3 - Manufacturing The most efficient operating angle...Ch. 10.3 - Metalworking Find the angle m in the casting...Ch. 10.3 - Plumbing A pipe fitter must connect a pipeline to...Ch. 10.3 - Practical Applications
Aviation A helicopter,...Ch. 10.3 - Practical Applications
Metalworking Find the angle...Ch. 10.3 - Practical Applications
Construction A road has a...Ch. 10.3 - Roofing Find the length of the rafter shown....Ch. 10.3 - Practical Applications
Metalworking Three holes...Ch. 10.3 - Practical Applications
Machine Trades Find the...Ch. 10.3 - General Trades A 20-ft ladder leans against a...Ch. 10.3 - Prob. 11DECh. 10.3 - Prob. 12DECh. 10.3 - Prob. 13DECh. 10.3 - Machine Trades Find the missing dimension d in the...Ch. 10.3 - Prob. 15DECh. 10.3 - Machine Trades Find the included angle m of the...Ch. 10.3 - Machine Trades Ten holes are spaced equally around...Ch. 10.3 - Prob. 18DECh. 10.3 - Construction The Santa Teresa municipal building...Ch. 10.3 - Construction A gable roof is to be constructed...Ch. 10.3 - Prob. 21DECh. 10.3 - Prob. 22DECh. 10.3 - Prob. 23DECh. 10.3 - Surveying A surveyor wants to estimate the width...Ch. 10.3 - Prob. 25DECh. 10.3 - Agriculture A grain conveyor is set at an angle of...Ch. 10.4 - Solve each triangle. a = 6.5 ft, A = 43, B = 62Ch. 10.4 - Solve each triangle. b = 17.2 in., C = 44.0, B =...Ch. 10.4 - Prob. 3AECh. 10.4 - Solve each triangle. c = 2300 yd, C = 120, B = 35Ch. 10.4 - Solve each triangle. a = 96.0 in., b = 58.0 in., B...Ch. 10.4 - Solve each triangle. b = 265 ft, c = 172 ft, C =...Ch. 10.4 - Prob. 7AECh. 10.4 - Prob. 8AECh. 10.4 - Solve each triangle. a = 625 ft, c = 189 ft, B =...Ch. 10.4 - Solve each triangle. b = 1150 yd, c = 3110 yd, A =...Ch. 10.4 - Solve each triangle. a = 27.2 in., b = 33.4 in., c...Ch. 10.4 - Prob. 12AECh. 10.4 - Prob. 13AECh. 10.4 - Prob. 14AECh. 10.4 - Prob. 15AECh. 10.4 - Prob. 16AECh. 10.4 - Construction In the channel shown in the figure,...Ch. 10.4 - Construction In the channel shown in the figure,...Ch. 10.4 - Construction A triangular traffic island has sides...Ch. 10.4 - Construction The lot shown in the figure is split...Ch. 10.4 - Carpentry Two sides of the sloped ceiling shown in...Ch. 10.4 - Machine Trades For the crankshaft shown in the...Ch. 10.4 - Prob. 7BECh. 10 - Convert angles between decimal degrees and degrees...Ch. 10 - Find the values of trig ratios. (a) sin 26 (b) cos...Ch. 10 - Use the special right triangle relationships to...Ch. 10 - Prob. 4PCh. 10 - Find the angle when given the value of a trig...Ch. 10 - Round sides to the nearest tenth and angles to the...Ch. 10 - Prob. 7PCh. 10 - Prob. 1APSCh. 10 - Convert the following angles as indicated. Express...Ch. 10 - Convert the following angles as indicated. Express...Ch. 10 - Prob. 4APSCh. 10 - Prob. 5APSCh. 10 - Prob. 6APSCh. 10 - Prob. 7APSCh. 10 - Prob. 8APSCh. 10 - Prob. 9APSCh. 10 - Prob. 10APSCh. 10 - Convert the following angles as indicated. Express...Ch. 10 - Convert the following angles as indicated. Express...Ch. 10 - Convert the following angles as indicated. Express...Ch. 10 - Prob. 14APSCh. 10 - Prob. 15APSCh. 10 - Convert the following angles as indicated. Express...Ch. 10 - Calculate the arc length S and area A for each of...Ch. 10 - Calculate the arc length S and area A for each of...Ch. 10 - Calculate the arc length S and area A for each of...Ch. 10 - Calculate the arc length S and area A for each of...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Prob. 7CPSCh. 10 - Prob. 8CPSCh. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Prob. 12CPSCh. 10 - Prob. 13CPSCh. 10 - Use a calculator to find the following trig values...Ch. 10 - Prob. 15CPSCh. 10 - Prob. 16CPSCh. 10 - Prob. 17CPSCh. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Use a calculator to find the following trig values...Ch. 10 - Prob. 24CPSCh. 10 - Prob. 25CPSCh. 10 - Prob. 26CPSCh. 10 - Use the special right triangle relationships to...Ch. 10 - Use the special right triangle relationships to...Ch. 10 - Use the special right triangle relationships to...Ch. 10 - Use the special right triangle relationships to...Ch. 10 - For each problem, use the given information to...Ch. 10 - For each problem, use the given information to...Ch. 10 - For each problem, use the given information to...Ch. 10 - For each problem, use the given information to...Ch. 10 - Prob. 9DPSCh. 10 - For each problem, use the given information to...Ch. 10 - For each problem, use the given information to...Ch. 10 - Prob. 12DPSCh. 10 - Solve the following oblique triangles. a = 17.9...Ch. 10 - Prob. 2EPSCh. 10 - Solve the following oblique triangles....Ch. 10 - Solve each triangle. b = 87.5 in., c = 23.4 in., A...Ch. 10 - Prob. 5EPSCh. 10 - Solve the following oblique triangles....Ch. 10 - Solve the following oblique triangles....Ch. 10 - Solve the following oblique triangles....Ch. 10 - Machine Trades What height of gauge blocks is...Ch. 10 - Prob. 2FPSCh. 10 - Carpentry Six holes are spaced evenly around a...Ch. 10 - Machine Trades Find the angle of taper of the...Ch. 10 - Electrical Trades A TV technician installs an...Ch. 10 - Construction A bridge approach shown in the figure...Ch. 10 - Machine Trades The helix angle of a screw is the...Ch. 10 - Construction Find the lengths x and y of the beams...Ch. 10 - Prob. 9FPSCh. 10 - Machine Trades Find the head angle a of the screw...Ch. 10 - Machine Trades A machinist makes a cut 13.8 cm...Ch. 10 - Drafting Determine the center-to-center...Ch. 10 - Machine Trades If a lathe makes 286 revolutions in...Ch. 10 - Prob. 14FPSCh. 10 - Construction An amphitheater is in the shape of a...Ch. 10 - Prob. 16FPSCh. 10 - Agriculture Barley has an angle of repose R of 28...
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