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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Chapter 2, Problem 5CPS
C. Add or subtract as shown.
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The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 40 feet in radius. Your ball is located as in the picture below. The ball follows a straight line path and exits the green at the right-most edge. Assume the ball travels 8 ft/sec.
Introduce coordinates so that the cup is the origin of an xy-coordinate system and start by writing down the equations of the circle and the linear path of the ball. Provide numerical answers below with two decimal places of accuracy.
50 feet
green
ball
40 feet
9
cup
ball path
rough
(a) The x-coordinate of the position where the ball enters the green will be
(b) The ball will exit the green exactly
seconds after it is hit.
(c) Suppose that L is a line tangent to the boundary of the golf green and parallel to the path of the ball. Let Q be the point where the line is tangent to the circle. Notice that there are two possible positions for Q. Find the possible x-coordinates of Q:
smallest x-coordinate =…
Draw the unit circle and plot the point P=(8,2). Observe there are TWO lines tangent to the circle passing through the point P. Answer the questions below with 3 decimal places of accuracy.
P
L1
L
(a) The line L₁ is tangent to the unit circle at the point
(b) The tangent line L₁ has equation:
X +
(c) The line L₂ is tangent to the unit circle at the point (
(d) The tangent line 42 has equation:
y=
x +
).
Chapter 2 Solutions
Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
Ch. 2.1 - Write as an improper fraction. 213Ch. 2.1 - Write as an improper fraction. 712Ch. 2.1 - Write as an improper fraction. 838Ch. 2.1 - Prob. 4AECh. 2.1 - Prob. 5AECh. 2.1 - Prob. 6AECh. 2.1 - Prob. 7AECh. 2.1 - Prob. 8AECh. 2.1 - Write as an improper fraction. 456Ch. 2.1 - Prob. 10AE
Ch. 2.1 - Prob. 1BECh. 2.1 - Write as a mixed number. 85Ch. 2.1 - Write as a mixed number. 118Ch. 2.1 - Write as a mixed number. 4016Ch. 2.1 - Write as a mixed number. 32Ch. 2.1 - Prob. 6BECh. 2.1 - Prob. 7BECh. 2.1 - Prob. 8BECh. 2.1 - Write as a mixed number. 8032Ch. 2.1 - Write as a mixed number. 52Ch. 2.1 - Prob. 1CECh. 2.1 - Write in lowest terms. 46Ch. 2.1 - Write in lowest terms. 616Ch. 2.1 - Prob. 4CECh. 2.1 - Write in lowest terms. 410Ch. 2.1 - Prob. 6CECh. 2.1 - Prob. 7CECh. 2.1 - Prob. 8CECh. 2.1 - Prob. 9CECh. 2.1 - Prob. 10CECh. 2.1 - Prob. 11CECh. 2.1 - Write in lowest terms. 1035Ch. 2.1 - Prob. 13CECh. 2.1 - Prob. 14CECh. 2.1 - Write in lowest terms. 3824Ch. 2.1 - Complete. 78=?16Ch. 2.1 - Complete. 34=?16Ch. 2.1 - Complete. 18=?64Ch. 2.1 - Prob. 4DECh. 2.1 - Complete. 114=?16Ch. 2.1 - Complete. 278=?32Ch. 2.1 - Prob. 7DECh. 2.1 - Complete. 1116=?32Ch. 2.1 - Prob. 9DECh. 2.1 - Prob. 10DECh. 2.1 - Prob. 11DECh. 2.1 - Prob. 12DECh. 2.1 - Prob. 1EECh. 2.1 - Prob. 2EECh. 2.1 - Prob. 3EECh. 2.1 - Prob. 4EECh. 2.1 - E. Which is larger? 78or56Ch. 2.1 - Prob. 6EECh. 2.1 - Prob. 7EECh. 2.1 - Prob. 8EECh. 2.1 - Prob. 9EECh. 2.1 - E. Which is larger? 312or274Ch. 2.1 - Prob. 11EECh. 2.1 - Prob. 12EECh. 2.1 - F. Practical Applications Carpentry An apprentice...Ch. 2.1 - F. Practical Applications Electrical Trades An...Ch. 2.1 - F. Practical Applications The numbers 227, 196,...Ch. 2.1 - F. Practical Applications Sheet Metal Trades Which...Ch. 2.1 - F. Practical Applications Plumbing Is it possible...Ch. 2.1 - F. Practical Applications Sheet Metal Trades...Ch. 2.1 - F. Practical Applications Printing A printer has...Ch. 2.1 - F. Practical Applications Machine Trades A...Ch. 2.1 - F. Practical Applications Landscaping Before it...Ch. 2.1 - F. Practical Applications Roofing A ridge beam...Ch. 2.1 - F. Practical Applications Construction A 34-in....Ch. 2.1 - Prob. 12FECh. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms. 612Ch. 2.2 - Multiply and write the answer in lowest terms. 893Ch. 2.2 - Prob. 6AECh. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Prob. 19AECh. 2.2 - Prob. 20AECh. 2.2 - Prob. 21AECh. 2.2 - Prob. 22AECh. 2.2 - Prob. 23AECh. 2.2 - Prob. 24AECh. 2.2 - Prob. 25AECh. 2.2 - Prob. 1BECh. 2.2 - Prob. 2BECh. 2.2 - Prob. 3BECh. 2.2 - Prob. 4BECh. 2.2 - Find. 12 of 112Ch. 2.2 - Prob. 6BECh. 2.2 - Prob. 7BECh. 2.2 - Prob. 8BECh. 2.2 - Find. 43 of 34Ch. 2.2 - Prob. 10BECh. 2.2 - Prob. 11BECh. 2.2 - B. Find. 35of4Ch. 2.2 - B. Find. 716of6Ch. 2.2 - Prob. 14BECh. 2.2 - Prob. 15BECh. 2.2 - Prob. 16BECh. 2.2 - Practical Applications Flooring and Carpeting Find...Ch. 2.2 - Prob. 2CECh. 2.2 - Practical Applications Roofing Shingles are laid...Ch. 2.2 - Prob. 4CECh. 2.2 - Prob. 5CECh. 2.2 - Prob. 6CECh. 2.2 - Prob. 7CECh. 2.2 - Practical Applications Machine Trades What is the...Ch. 2.2 - Practical Applications Manufacturing How many...Ch. 2.2 - Practical Applications Plumbing A plumber cut...Ch. 2.2 - Practical Applications Machine Trades How far will...Ch. 2.2 - Prob. 12CECh. 2.2 - Practical Applications Drafting If 38 in. on a...Ch. 2.2 - Practical Applications Manufacturing What is the...Ch. 2.2 - Practical Applications Machine Trades How long...Ch. 2.2 - Prob. 16CECh. 2.2 - Prob. 17CECh. 2.2 - Prob. 18CECh. 2.2 - Practical Applications Photography A photograph...Ch. 2.2 - Prob. 20CECh. 2.2 - Prob. 21CECh. 2.2 - Practical Applications Water/Wastewater Treatment...Ch. 2.2 - Prob. 23CECh. 2.2 - Practical Applications Plumbing To find the degree...Ch. 2.2 - Prob. 25CECh. 2.2 - Prob. 26CECh. 2.2 - Prob. 27CECh. 2.2 - Prob. 28CECh. 2.2 - Prob. 29CECh. 2.2 - Prob. 30CECh. 2.2 - Prob. 31CECh. 2.2 - C. Practical Applications Carpentry A carpenter is...Ch. 2.2 - C. Practical Applications Retail Merchandising...Ch. 2.3 - Prob. 1AECh. 2.3 - Prob. 2AECh. 2.3 - Prob. 3AECh. 2.3 - Prob. 4AECh. 2.3 - Prob. 5AECh. 2.3 - Prob. 6AECh. 2.3 - Prob. 7AECh. 2.3 - Prob. 8AECh. 2.3 - Prob. 9AECh. 2.3 - Prob. 10AECh. 2.3 - Prob. 11AECh. 2.3 - Prob. 12AECh. 2.3 - Prob. 13AECh. 2.3 - Prob. 14AECh. 2.3 - Prob. 15AECh. 2.3 - Prob. 16AECh. 2.3 - Prob. 17AECh. 2.3 - Prob. 18AECh. 2.3 - Prob. 19AECh. 2.3 - Prob. 20AECh. 2.3 - Prob. 21AECh. 2.3 - Prob. 22AECh. 2.3 - Prob. 23AECh. 2.3 - Divide and write the answer in lowest terms....Ch. 2.3 - Drafting How many feet are represented by a 4-in....Ch. 2.3 - Drafting If 14in. on a drawing represents 1 ft 0...Ch. 2.3 - Flooring and Carpeting How many boards 458 in....Ch. 2.3 - Construction How many supporting columns 8812in....Ch. 2.3 - Construction How many pieces of 12in. plywood are...Ch. 2.3 - Prob. 6BECh. 2.3 - Prob. 7BECh. 2.3 - Prob. 8BECh. 2.3 - Prob. 9BECh. 2.3 - Prob. 10BECh. 2.3 - Prob. 11BECh. 2.3 - Prob. 12BECh. 2.3 - Prob. 13BECh. 2.3 - Prob. 14BECh. 2.3 - Prob. 15BECh. 2.3 - Prob. 16BECh. 2.3 - Prob. 17BECh. 2.3 - Prob. 18BECh. 2.3 - Prob. 19BECh. 2.3 - Prob. 20BECh. 2.4 - Prob. 1AECh. 2.4 - Add or subtract as shown. 512+1112Ch. 2.4 - Prob. 3AECh. 2.4 - Prob. 4AECh. 2.4 - Add or subtract as shown. 3414Ch. 2.4 - Prob. 6AECh. 2.4 - Prob. 7AECh. 2.4 - Add or subtract as shown. 512212Ch. 2.4 - Add or subtract as shown. 516+316+716Ch. 2.4 - Add or subtract as shown. 18+38+78Ch. 2.4 - Add or subtract as shown. 17838Ch. 2.4 - Add or subtract as shown. 39161516Ch. 2.4 - Add or subtract as shown. 14+12Ch. 2.4 - Add or subtract as shown. 716+38Ch. 2.4 - Add or subtract as shown. 58+112Ch. 2.4 - Add or subtract as shown. 512+316Ch. 2.4 - Add or subtract as shown. 1238Ch. 2.4 - Add or subtract as shown. 516332Ch. 2.4 - Add or subtract as shown. 151612Ch. 2.4 - Add or subtract as shown. 716132Ch. 2.4 - Add or subtract as shown. 35+18Ch. 2.4 - Add or subtract as shown. 23+45Ch. 2.4 - Add or subtract as shown. 7825Ch. 2.4 - Add or subtract as shown. 4914Ch. 2.4 - Add or subtract as shown. 12+1418Ch. 2.4 - Prob. 26AECh. 2.4 - Prob. 27AECh. 2.4 - Prob. 28AECh. 2.4 - Prob. 29AECh. 2.4 - Prob. 30AECh. 2.4 - Add or subtract as shown. 213+115Ch. 2.4 - Add or subtract as shown. 178+14Ch. 2.4 - Prob. 33AECh. 2.4 - Prob. 34AECh. 2.4 - Add or subtract as shown. 3152112Ch. 2.4 - Prob. 36AECh. 2.4 - Add or subtract as shown. 8278Ch. 2.4 - Prob. 2BECh. 2.4 - Prob. 3BECh. 2.4 - Add or subtract as shown. 12+13+14+15Ch. 2.4 - Prob. 5BECh. 2.4 - Prob. 6BECh. 2.4 - Prob. 7BECh. 2.4 - Prob. 8BECh. 2.4 - B. Add or subtract as shown. 2316lessthan478Ch. 2.4 - Prob. 10BECh. 2.4 - B. Add or subtract as shown. 235 less than 612Ch. 2.4 - Prob. 12BECh. 2.4 - C. Practical Applications Construction The...Ch. 2.4 - C. Practical Applications Carpentry A countertop...Ch. 2.4 - Prob. 3CECh. 2.4 - Prob. 4CECh. 2.4 - Prob. 5CECh. 2.4 - Prob. 6CECh. 2.4 - Prob. 7CECh. 2.4 - Prob. 8CECh. 2.4 - Prob. 9CECh. 2.4 - Prob. 10CECh. 2.4 - Prob. 11CECh. 2.4 - Prob. 12CECh. 2.4 - Prob. 13CECh. 2.4 - Prob. 14CECh. 2.4 - Prob. 15CECh. 2.4 - Prob. 16CECh. 2.4 - Prob. 17CECh. 2.4 - Prob. 18CECh. 2.4 - Prob. 19CECh. 2.4 - Prob. 20CECh. 2.4 - Prob. 21CECh. 2.4 - Prob. 22CECh. 2.4 - Prob. 23CECh. 2.4 - Prob. 24CECh. 2.4 - Prob. 25CECh. 2 - Work with fractions. (a) Write as a mixed number...Ch. 2 - Multiply and divide fractions. (a) 78532 (b) 41223...Ch. 2 - Add and subtract fractions. (a) 716+316 (b)...Ch. 2 - Solve practical problems involving fractions....Ch. 2 - A. Write as an improper fraction. 118Ch. 2 - A. Write as an improper fraction. 415Ch. 2 - A. Write as an improper fraction. 123Ch. 2 - A. Write as an improper fraction. 2316Ch. 2 - A. Write as an improper fraction. 3332Ch. 2 - Prob. 6APSCh. 2 - A. Write as an improper fraction. 158Ch. 2 - Prob. 8APSCh. 2 - A. Write as a mixed number. 104Ch. 2 - Prob. 10APSCh. 2 - A. Write as a mixed number. 253Ch. 2 - Prob. 12APSCh. 2 - Prob. 13APSCh. 2 - Prob. 14APSCh. 2 - A. Write as a mixed number. 354Ch. 2 - A. Write as a mixed number. 73Ch. 2 - A. Write in lowest terms. 632Ch. 2 - A. Write in lowest terms. 832Ch. 2 - A. Write in lowest terms. 1232Ch. 2 - Prob. 20APSCh. 2 - A. Write in lowest terms. 520Ch. 2 - Prob. 22APSCh. 2 - A. Write in lowest terms. 11620Ch. 2 - Prob. 24APSCh. 2 - A. Complete these. 34=?12Ch. 2 - Prob. 26APSCh. 2 - A. Complete these. 234=?16Ch. 2 - Prob. 28APSCh. 2 - A. Complete these. 523=?12Ch. 2 - Prob. 30APSCh. 2 - A. Complete these. 114=?12Ch. 2 - A. Complete these. 235=?10Ch. 2 - A. Circle the larger number. 716or215Ch. 2 - Prob. 34APSCh. 2 - A. Circle the larger number. 1316or78Ch. 2 - Prob. 36APSCh. 2 - A. Circle the larger number. 1332or35Ch. 2 - A. Circle the larger number. 210or316Ch. 2 - A. Circle the larger number. 1716 or 74Ch. 2 - Prob. 40APSCh. 2 - B. Multiply 12316Ch. 2 - Prob. 2BPSCh. 2 - B. Multiply 71643Ch. 2 - Prob. 4BPSCh. 2 - B. Multiply 11256Ch. 2 - B. Multiply 311615Ch. 2 - B. Multiply 316512Ch. 2 - Prob. 8BPSCh. 2 - B. Multiply 3410Ch. 2 - Prob. 10BPSCh. 2 - B. Multiply or divide as shown. 18112Ch. 2 - Prob. 12BPSCh. 2 - B. Multiply or divide as shown. 223438Ch. 2 - Prob. 14BPSCh. 2 - Multiply or divide as shown. 1214Ch. 2 - Prob. 16BPSCh. 2 - Multiply or divide as shown. 418Ch. 2 - Multiply or divide as shown. 834Ch. 2 - Multiply or divide as shown. 234Ch. 2 - Prob. 20BPSCh. 2 - Multiply or divide as shown. 3125Ch. 2 - Prob. 22BPSCh. 2 - Multiply or divide as shown. 234118Ch. 2 - Prob. 24BPSCh. 2 - C. Add or subtract as shown. 38+78Ch. 2 - Prob. 2CPSCh. 2 - C. Add or subtract as shown. 332+18Ch. 2 - Prob. 4CPSCh. 2 - C. Add or subtract as shown. 35+56Ch. 2 - Prob. 6CPSCh. 2 - Prob. 7CPSCh. 2 - Prob. 8CPSCh. 2 - Prob. 9CPSCh. 2 - Prob. 10CPSCh. 2 - C. Add or subtract as shown. 78310Ch. 2 - Prob. 12CPSCh. 2 - C. Add or subtract as shown. 218+114Ch. 2 - Prob. 14CPSCh. 2 - C. Add or subtract as shown. 6112Ch. 2 - Prob. 16CPSCh. 2 - C. Add or subtract as shown. 323178Ch. 2 - Prob. 18CPSCh. 2 - C. Add or subtract as shown. 12+13+15Ch. 2 - Prob. 20CPSCh. 2 - C. Add or subtract as shown. 312213Ch. 2 - C. Add or subtract as shown. 2351415Ch. 2 - C. Add or subtract as shown. 2135Ch. 2 - Prob. 24CPSCh. 2 - D. Practical Applications Welding In a welding...Ch. 2 - D. Practical Applications Machine Trades How many...Ch. 2 - D. Practical Applications Welding A piece of metal...Ch. 2 - D. Practical Applications Automotive Trades A...Ch. 2 - D. Practical Applications Machine Trades A shaft...Ch. 2 - D Practical Applications Machine Trades A bar...Ch. 2 - D. Practical Applications Manufacturing A cubic...Ch. 2 - D. Practical Applications Manufacturing Find the...Ch. 2 - D. Practical Applications Machine Trades What...Ch. 2 - D. Practical Applications Machine Trades The Ace...Ch. 2 - D. Practical Applications Carpentry What is the...Ch. 2 - D. Practical Applications Construction For the...Ch. 2 - D. Practical Applications Carpentry Find the...Ch. 2 - D. Practical Applications Masonry Find the height...Ch. 2 - D. Practical Applications Masonry If the wall in...Ch. 2 - D. Practical Applications Electrical Trades An...Ch. 2 - D. Practical Applications Printing An invitation...Ch. 2 - D. Practical Applications Printing As a rule of...Ch. 2 - D. Practical Applications Welding A 46-in. bar...Ch. 2 - D. Practical Applications Construction If an...Ch. 2 - D. Practical Applications Machine Trades If a...Ch. 2 - Prob. 22DPSCh. 2 - Prob. 23DPSCh. 2 - D. Practical Applications Machine Trades A machine...Ch. 2 - D. Practical Applications Automotive Trades On a...Ch. 2 - D. Practical Applications Automotive Trades A...Ch. 2 - D. Practical Applications Allied Health One bottle...Ch. 2 - D. Practical Applications Construction The...Ch. 2 - Prob. 29DPSCh. 2 - Prob. 30DPSCh. 2 - Flooring and Carpeting In the United States carpet...Ch. 2 - D. Practical Applications Retail Merchandising In...Ch. 2 - D. Practical Applications Retail Merchandising The...
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