Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Chapter 6, Problem 20R
To determine
To calculate: The solution of the equation
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The three right triangles below are similar.
The acute angles LL, LR, and ZZ are all approximately measured to be 66.9°.
The side lengths for each triangle are as follows.
Note that the triangles are not drawn to scale.
Z
20.17 m
60.51 m
66.9° 7.92 m
66.9°
80.68 m
66.9°
23.76 m
31.68 m
Take one
18.55 m
K
P
55.65 m
X
74.2 m
Y
(a) For each triangle, find the ratio of the length of the side opposite 66.9° to the length of the
hypotenuse. Round your answers to the nearest hundredth.
JK
JL
PQ
PR
XY
☐
XZ
(b) Use the ALEKS Calculator to find sin 66.9°, cos 66.9°, and tan 66.9°.
Round your answers to the nearest hundredth.
sin 66.9° = ☐
cos 66.9°
tan 66.9° = ☐
(c) Which trigonometric function gives each ratio of sides in part (a)?
Osine
Ocosine
Otangent
none of these
According to an economist from a financial company, the average expenditures on "furniture and household appliances" have been lower for households in the Montreal area than those in the Quebec region.
A random sample of 14 households from the Montreal region and 16 households from the Quebec region was taken, providing the following data regarding expenditures in this economic sector.
It is assumed that the data from each population are distributed normally.
We are interested in knowing if the variances of the populations are equal. a) Perform the appropriate hypothesis test on two variances at a significance level of 1%. Include the following information:
i. Hypothesis / Identification of populations ii. Critical F-value(s) iii. Decision rule iv. F-ratio value v. Decision and conclusion
b) Based on the results obtained in a), is the hypothesis of equal variances for this socio-economic characteristic measured in these two populations upheld?
c) Based on the results obtained in a),…
Please plot graphs to represent the functions
Chapter 6 Solutions
Elementary Technical Mathematics
Ch. 6.1 - Solve each equation and check: x+2=8Ch. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Solve each equation and check: 23n=6Ch. 6.1 - Solve each equation and check: w712=3Ch. 6.1 - Prob. 6ECh. 6.1 - Solve each equation and check: x13=1.5Ch. 6.1 - Solve each equation and check: n+12=5Ch. 6.1 - Solve each equation and check: 3b=15.6Ch. 6.1 - Solve each equation and check: y17=25
Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Solve each equation and check: 2=x5Ch. 6.1 - Prob. 14ECh. 6.1 - Solve each equation and check: 17=3+wCh. 6.1 - Solve each equation and check: 49=32+wCh. 6.1 - Solve each equation and check: 14b=57Ch. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Solve each equation and check: x+5=5Ch. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Solve each equation and check: 5x125=0Ch. 6.1 - Solve each equation and check: x7=56Ch. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Solve each equation and check: x=2Ch. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Solve each equation and check: 103x=16Ch. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Solve each equation and check: x5+4=9Ch. 6.1 - Solve each equation and check: 2x=6Ch. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Solve each equation and check: 3x5=12Ch. 6.1 - Prob. 42ECh. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Solve each equation and check: 2x3=7Ch. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Solve each equation and check: 28=73rCh. 6.1 - Solve each equation and check: 5x=6Ch. 6.1 - Prob. 50ECh. 6.1 - Solve each equation and check: 54y13=17.8Ch. 6.1 - Prob. 52ECh. 6.1 - Solve each equation and check: 28w56=8Ch. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Solve each equation and check: 313y=41Ch. 6.1 - Prob. 58ECh. 6.1 - Solve each equation and check: 83=174xCh. 6.1 - Solve each equation and check: 58=5m+52Ch. 6.2 - Solve each equation and check: 4y+9=7y15Ch. 6.2 - Solve each equation and check: 2y45=yCh. 6.2 - Solve each equation and check: 5x+3=7x5Ch. 6.2 - Prob. 4ECh. 6.2 - Solve each equation and check: 2x+7=5x21Ch. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - Solve each equation and check: 3x+17=6x37Ch. 6.2 - Prob. 10ECh. 6.2 - Prob. 11ECh. 6.2 - Solve each equation and check: 5y+12=12y5Ch. 6.2 - Solve each equation and check: 3x2=5x+8Ch. 6.2 - Prob. 14ECh. 6.2 - Solve each equation and check: 4x+25=6x45Ch. 6.2 - Prob. 16ECh. 6.2 - Solve each equation and check: 5x+4=10x7Ch. 6.2 - Solve each equation and check: 3x2=5x20Ch. 6.2 - Solve each equation and check: 27+5x=9+3xCh. 6.2 - Solve each equation and check: 2y+8=5y1Ch. 6.2 - Solve each equation and check: 7x+18=11x36Ch. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Solve each equation and check: 4x+2=8x7Ch. 6.2 - Solve each equation and check: 6x1=9x9Ch. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Solve each equation and check: 3x+1=17xCh. 6.2 - Solve each equation and check: 174y=14yCh. 6.3 - Solve each equation and check: 2(x+3)6=10Ch. 6.3 - Solve each equation and check: 3x+5(x6)=32Ch. 6.3 - Prob. 3ECh. 6.3 - Solve each equation and check: 5m(2m7)=5Ch. 6.3 - Solve each equation and check: 16=3(x4)Ch. 6.3 - Prob. 6ECh. 6.3 - Solve each equation and check: 5a(3a+4)=8Ch. 6.3 - Prob. 8ECh. 6.3 - Solve each equation and check: 5a4(a3)=7Ch. 6.3 - Prob. 10ECh. 6.3 - Prob. 11ECh. 6.3 - Solve each equation and check: 278(2y)=13Ch. 6.3 - Solve each equation and check: 2a(5a7)=22Ch. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Solve each equation and check: 3x7+17(1x)=6Ch. 6.3 - Prob. 18ECh. 6.3 - Solve each equation and check: 6b=27+3bCh. 6.3 - Solve each equation and check: 2a+4=a3Ch. 6.3 - Solve each equation and check: 4(25x)=3x+2Ch. 6.3 - Prob. 22ECh. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Solve each equation and check: 6x+2=2(17x)Ch. 6.3 - Solve each equation and check: 6(17x)=24xCh. 6.3 - Prob. 27ECh. 6.3 - Prob. 28ECh. 6.3 - Solve each equation and check: 3(x+4)+3x=6Ch. 6.3 - Prob. 30ECh. 6.3 - Prob. 31ECh. 6.3 - Prob. 32ECh. 6.3 - Solve each equation and check: 9m3(m5)=7m3Ch. 6.3 - Prob. 34ECh. 6.3 - Prob. 35ECh. 6.3 - Prob. 36ECh. 6.3 - Solve each equation and check: 8(x5)=13xCh. 6.3 - Prob. 38ECh. 6.3 - Prob. 39ECh. 6.3 - Prob. 40ECh. 6.3 - Solve each equation and check:...Ch. 6.3 - Prob. 42ECh. 6.3 - Prob. 43ECh. 6.3 - Prob. 44ECh. 6.3 - Solve each equation and check: 4(y+2)=8(y4)+7Ch. 6.3 - Prob. 46ECh. 6.3 - Solve each equation and check:...Ch. 6.3 - Prob. 48ECh. 6.3 - Solve each equation and check: 12+8(2y+3)=(y+7)16Ch. 6.3 - Prob. 50ECh. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - Prob. 53ECh. 6.3 - Solve each equation and check: 2(5y+1)+16=4+3(y7)Ch. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 6.3 - Solve each equation and check:...Ch. 6.3 - Prob. 58ECh. 6.3 - Prob. 59ECh. 6.3 - Prob. 60ECh. 6.4 - Solve each equation and check: 2x3=326Ch. 6.4 - Solve each equation and check: 5x7=2014Ch. 6.4 - Prob. 3ECh. 6.4 - Solve each equation and check: 53x=1313Ch. 6.4 - Solve each equation and check: 212x=712Ch. 6.4 - Solve each equation and check: 12+x3=52Ch. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Solve each equation and check: 34x3=512Ch. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Solve each equation and check: 2x37=x2Ch. 6.4 - Solve each equation and check: y31=y6Ch. 6.4 - Prob. 14ECh. 6.4 - Solve each equation and check: 3x4720=25xCh. 6.4 - Solve each equation and check: 5x6+13(6+x)=37Ch. 6.4 - Solve each equation and check: x2+23(2x+3)=46Ch. 6.4 - Solve each equation and check: 16x19(2x3)=1Ch. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Solve each equation and check: 3x24163x1212=3Ch. 6.4 - Prob. 22ECh. 6.4 - Solve each equation and check: 5x+6x814+10x+66=43Ch. 6.4 - Prob. 24ECh. 6.4 - Solve each equation and check: 4x6x+52=6x68Ch. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Prob. 28ECh. 6.4 - Solve each equation and check: 51x=7Ch. 6.4 - Solve each equation and check: 3x6=8Ch. 6.4 - Prob. 31ECh. 6.4 - Solve each equation and check: 17x=8Ch. 6.4 - Solve each equation and check: 3x8=7Ch. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Solve each equation and check: 6x+5=14Ch. 6.4 - Prob. 38ECh. 6.4 - Solve each equation and check: 12x=143x13Ch. 6.4 - Prob. 40ECh. 6.4 - Prob. 41ECh. 6.4 - Solve each equation and check: 8x+14=5x+13Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 2ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 4ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 8ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 14ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 19ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 22ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 25ECh. 6.6 - A built-in bookcase containing eight book shelves...Ch. 6.6 - Saw a board 8 ft 4 in. long into nine equal...Ch. 6.6 - Separate an order of 256 light fixtures so that...Ch. 6.6 - Distribute $1000 into three parts so that one part...Ch. 6.6 - Distribute $4950 among John, Maria, and Betsy so...Ch. 6.6 - Distribute $4950 among John, Maria, and Betsy so...Ch. 6.6 - A rectangle is twice as long as it is wide. Its...Ch. 6.6 - The length of a rectangle is 4 cm less than twice...Ch. 6.6 - One side of a rectangular yard is bounded by the...Ch. 6.6 - A given type of concrete contains an amount of...Ch. 6.6 - The perimeter of a triangle is 122 ft. The lengths...Ch. 6.6 - Cut a board 20 ft long into three pieces so that...Ch. 6.6 - Cut a 12-ft beam into two pieces so that one piece...Ch. 6.6 - The total cost of three automobile batteries is...Ch. 6.6 - The total cost of 20 boards is $166. One size...Ch. 6.6 - Amy and Kurt earned a total of $512 by working a...Ch. 6.6 - Joyce invests $7500 in two savings accounts. One...Ch. 6.6 - Chuck receives loans totaling $12,000 from two...Ch. 6.6 - Regular milk has 4% butterfat. How many litres of...Ch. 6.6 - How much pure alcohol must be added to 750 mL of a...Ch. 6.6 - Mix a solution that is 30% alcohol with a solution...Ch. 6.6 - Prob. 22ECh. 6.6 - A 12-quart cooling system is checked and found to...Ch. 6.6 - In testing an engine, various mixtures of gasoline...Ch. 6.6 - Assume you have sea water that weighs 64lb/ft3 and...Ch. 6.6 - Prob. 26ECh. 6.6 - Jeff invested $30,000 in a business whereas his...Ch. 6.6 - Prob. 28ECh. 6.6 - Cloth table coverings are to be cut for 8...Ch. 6.6 - How many quarts of water must be added to 3 gal of...Ch. 6.6 - Ground beef that is 90% lean costs 114 times the...Ch. 6.7 - Solve each formula for the given letter: E=IrforrCh. 6.7 - Solve each formula for the given letter: A=bhforbCh. 6.7 - Solve each formula for the given letter: F=maforaCh. 6.7 - Prob. 4ECh. 6.7 - Solve each formula for the given letter: C=dfordCh. 6.7 - Solve each formula for the given letter: V=IRforRCh. 6.7 - Solve each formula for the given letter: V=lwhforwCh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter: A=2rhforhCh. 6.7 - Solve each formula for the given letter: C=2rforrCh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 12ECh. 6.7 - Solve each formula for the given letter: I=QtfortCh. 6.7 - Prob. 14ECh. 6.7 - Prob. 15ECh. 6.7 - Solve each formula for the given letter: I=EZforZCh. 6.7 - Solve each formula for the given letter: I=VRforRCh. 6.7 - Prob. 18ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter: R=2PforPCh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 22ECh. 6.7 - Prob. 23ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 26ECh. 6.7 - Prob. 27ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 30ECh. 6.7 - Prob. 31ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 34ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 38ECh. 6.7 - Prob. 39ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 2ECh. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 4ECh. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 6ECh. 6.8 - Prob. 7ECh. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 10ECh. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 20ECh. 6.8 - Prob. 21ECh. 6.8 - A flashlight bulb is connected to a 1.50-V source....Ch. 6.8 - Prob. 23ECh. 6.8 - The volume of a box is given by V=lwh. Find the...Ch. 6.8 - The volume of a cylinder is given by the formula...Ch. 6.8 - The pressure at the bottom of a lake is found by...Ch. 6.8 - The equivalent resistance R of two resistances...Ch. 6.8 - The R value of insulation is given by the formula...Ch. 6.8 - A steel railroad rail expands and contracts...Ch. 6.8 - The inductive reactance, XL, of a coil is given by...Ch. 6.9 - Use the formula 1R=1R1+1R2 for Exercise 1-6: Given...Ch. 6.9 - Use the formula 1R=1R1+1R2 for Exercise 1-6: Given...Ch. 6.9 - Use the formula 1R=1R1+1R2 for Exercise 1-6: Given...Ch. 6.9 - Prob. 4ECh. 6.9 - Prob. 5ECh. 6.9 - Prob. 6ECh. 6.9 - Prob. 7ECh. 6.9 - Prob. 8ECh. 6.9 - Use the formula 1f=1s0+1si for Exercises 7-10:...Ch. 6.9 - Use the formula 1f=1s0+1si for Exercises 7-10:...Ch. 6.9 - Prob. 11ECh. 6.9 - Prob. 12ECh. 6.9 - Use the formula 1R=1R1+1R2+1R3 for Exercise 11-16:...Ch. 6.9 - Prob. 14ECh. 6.9 - Prob. 15ECh. 6.9 - Prob. 16ECh. 6.9 - Prob. 17ECh. 6.9 - Use the formula 1C=1C1+1C2+1C3 for Exercise 1-22:...Ch. 6.9 - Prob. 19ECh. 6.9 - Prob. 20ECh. 6.9 - Prob. 21ECh. 6.9 - Prob. 22ECh. 6.9 - Prob. 23ECh. 6.9 - Prob. 24ECh. 6 - Solve each equation and check: 2x+4=7Ch. 6 - Prob. 2RCh. 6 - Prob. 3RCh. 6 - Prob. 4RCh. 6 - Prob. 5RCh. 6 - Prob. 6RCh. 6 - Solve each equation and check: 2x+9=5x15Ch. 6 - Prob. 8RCh. 6 - Prob. 9RCh. 6 - Solve each equation and check: 4x+1=4xCh. 6 - Solve each equation and check: 7(x5)=11Ch. 6 - Prob. 12RCh. 6 - Prob. 13RCh. 6 - Solve each equation and check: 6(x+7)5(x+8)=0Ch. 6 - Prob. 15RCh. 6 - Prob. 16RCh. 6 - Solve each equation and check: 2x3=169Ch. 6 - Prob. 18RCh. 6 - Solve each equation and check: 3x4x15=3+x2Ch. 6 - Prob. 20RCh. 6 - Prob. 21RCh. 6 - The length of rectangle is 6 more than twice its...Ch. 6 - Mix a solution that is 60% acid with a solution...Ch. 6 - Solve each formula for the given letter: F=WgforgCh. 6 - Solve each formula for the given letter: P=WAforACh. 6 - Solve each formula for the given letter:...Ch. 6 - Solve each formula for the given letter:...Ch. 6 - Solve each formula for the given letter:...Ch. 6 - Solve each formula for the given letter:...Ch. 6 - Solve each formula for the given letter:...Ch. 6 - Prob. 31RCh. 6 - Prob. 32RCh. 6 - Prob. 33RCh. 6 - Prob. 34RCh. 6 - Solve each equation: x8=6Ch. 6 - Solve each equation: 4x=60Ch. 6 - Prob. 3TCh. 6 - Prob. 4TCh. 6 - Prob. 5TCh. 6 - Solve each equation: 2(x+10)=3(52x)+5Ch. 6 - Solve each equation: 12(3x6)=3(x2)Ch. 6 - Solve each equation: 8x9=56Ch. 6 - Solve each equation: 3x52=x5x10Ch. 6 - Solve each equation: 8x+6=2Ch. 6 - Solve each equation: x225=2x534Ch. 6 - Distribute $2700 among Jose, Maria, and George so...Ch. 6 - How much pure antifreeze must be added to 20 L of...Ch. 6 - Solve P=2(l+2)forlCh. 6 - Solve CT=C1+C2+C3forC2.Ch. 6 - Solve V=lwhforw.Ch. 6 - Given P=I2R,P=480,andl=5.0,findR.Ch. 6 - Given A=h2(a+b),A=260,h=13,anda=15,findbCh. 6 - Given 1C=1C1+1C2,C=20.0FandC2=30.0F,findC1.Ch. 6 - Given 1R=1R1+1R2+1R3,R1=225,R2=475,andR3=925,findRCh. 6 - Prob. 1CRCh. 6 - Prob. 2CRCh. 6 - Write 3.015104 in decimal form.Ch. 6 - Prob. 4CRCh. 6 - Prob. 5CRCh. 6 - Prob. 6CRCh. 6 - Prob. 7CRCh. 6 - Prob. 8CRCh. 6 - Read the measurement shown on the vernier caliper...Ch. 6 - Prob. 10CRCh. 6 - Prob. 11CRCh. 6 - Prob. 12CRCh. 6 - Prob. 13CRCh. 6 - Prob. 14CRCh. 6 - Prob. 15CRCh. 6 - Prob. 16CRCh. 6 - Simplify: (4x3y)(5x+2y)Ch. 6 - Simplify: 215x2y345x3y5Ch. 6 - Prob. 19CRCh. 6 - Prob. 20CRCh. 6 - Prob. 21CRCh. 6 - Prob. 22CRCh. 6 - Prob. 23CRCh. 6 - Prob. 24CRCh. 6 - Prob. 25CRCh. 6 - Prob. 26CRCh. 6 - Prob. 27CRCh. 6 - Prob. 28CRCh. 6 - Prob. 29CRCh. 6 - The perimeter of a rectangle is 30 ft. The width...
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