Solutions for MAT 171 ACCESS CODE
Problem 2SP:
Convert 26.48 to degree, minute, second form.Problem 3SP:
Convert from degrees to radians. a. 300 b. 70Problem 4SP:
Convert from radians to degrees. a. 18 b. 74Problem 8SP:
Lincoln, Nebraska, is located at 40.8N,96.7W and Dallas, Texas, is located at32.8N,96.7W . Since the...Problem 9SP:
A bicycle wheel rotates at 2 revolutions per second. a. Find the angular speed. b. How fast does the...Problem 10SP:
A sprinkler rotates through an angle of 120 and sprays water a distance of 30 ft. Find the amount of...Problem 2PE:
An angle with its vertex at the origin of an xy-coordinate plane and with initial side on the...Problem 3PE:
Two common units used to measure angles are and .Problem 5PE:
An angle that measures 360 has a measure of radians.Problem 6PE:
Two angles are called if the sum of their measures is 90 . Two angles are called if the sum of...Problem 7PE:
An angle with measure or radians is a right angle. A straight angle has a measure of or...Problem 8PE:
A(n) angle has a measure between 0 and 90 . whereas a(n) angle has a measure between 90 and180 .Problem 9PE:
One degree is equally divided into 60 parts called .Problem 10PE:
One minute is equally divided into 60 parts called .Problem 11PE:
1='='Problem 13PE:
A central angle of a circle that intercepts an arc equal in length to the radius of the circle has a...Problem 14PE:
Which angle has a greater measure, 2 or 2 radians?Problem 15PE:
To convert from radians to degrees, multiply by To convert from degrees to radians, multiply by .Problem 19PE:
The length s of an arc made by an angle on a circle of radius r is given by the formula , where ...Problem 20PE:
To locate points on the surface of the Earth that are north or south of the equator, we measure the ...Problem 21PE:
The relationship v=arclengthtime represents the speed of a point traveling in a circular path.Problem 22PE:
The symbol is typically used to denote speed and represents the number of radians per unit time...Problem 24PE:
The area A of a sector of a circle of radius r with central angle is given by the formula , where ...Problem 25PE:
For Exercises 25-26, sketch the angles in standard position. a. 60 b. 225 c. 210 d. 86Problem 26PE:
For Exercises 25-26, sketch the angles in standard position. a. 30 b. 120 c. 135 d. 73Problem 27PE:
For Exercises 27-30, convert the given angle to decimal degrees. Round to 4 decimal places. (see...Problem 28PE:
For Exercises 27-30, convert the given angle to decimal degrees. Round to 4 decimal places. (See...Problem 29PE:
For Exercises 27-30, convert the given angle to decimal degrees. Round to 4 decimal places. (See...Problem 30PE:
For Exercises 27-30, convert the given angle to decimal degrees. Round to 4 decimal places. (See...Problem 31PE:
For Exercises 31-34, convert the given angle to DMS (degree-minute-second) form. Round to the...Problem 32PE:
For Exercises 31-34, convert the given angle to DMS (degree-minute-second) form. Round to the...Problem 33PE:
For Exercises 31-34, convert the given angle to DMS (degree-minute-second) form. Round to the...Problem 34PE:
For Exercises 31-34, convert the given angle to DMS (degree-minute-second) form. Round to the...Problem 37PE:
For Exercises 37-40, convert from degrees to radians. Give the answers in exact form in terms of ....Problem 40PE:
For Exercises 37-40, convert from degrees to radians. Give the answers in exact form in terms of ....Problem 43PE:
For Exercises 41-44, convert from degrees to radians. Round to 4 decimal places. 12636Problem 44PE:
For Exercises 41-44, convert from degrees to radians. Round to 4 decimal places. 180429Problem 45PE:
For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary....Problem 46PE:
For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary....Problem 48PE:
For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary....Problem 51PE:
For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary....Problem 54PE:
For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary....Problem 55PE:
For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary....Problem 56PE:
For Exercises 45-56, convert from radians to decimal degrees. Round to 1 decimal place if necessary....Problem 58PE:
For Exercises 57-64, find a positive angle and a negative angle that is coterminal to the given...Problem 59PE:
For Exercises 57-64, find a positive angle and a negative angle that is coterminal to the given...Problem 60PE:
For Exercises 57-64, find a positive angle and a negative angle that is coterminal to the given...Problem 61PE:
For Exercises 57-64, find a positive angle and a negative angle that is coterminal to the given...Problem 62PE:
For Exercises 57-64, find a positive angle and a negative angle that is coterminal to the given...Problem 64PE:
For Exercises 57-64, find a positive angle and a negative angle that is coterminal to the given...Problem 65PE:
For Exercises 65-70, find an angle between 0 and 360 or between 0 and 2 that is coterminal to the...Problem 66PE:
For Exercises 65-70, find an angle between 0 and 360 or between 0 and 2 that is coterminal to the...Problem 67PE:
For Exercises 65-70, find an angle between 0 and 360 or between 0 and 2 that is coterminal to the...Problem 68PE:
For Exercises 65-70, find an angle between 0 and 360 or between 0 and 2 that is coterminal to the...Problem 69PE:
For Exercises 65-70, find an angle between 0 and 360 or between 0 and 2 that is coterminal to the...Problem 70PE:
For Exercises 65-70, find an angle between 0 and 360 or between 0 and 2 that is coterminal to the...Problem 72PE:
For Exercises 71-74, find the exact length of the arc intercepted by a central angle on a circle of...Problem 74PE:
For Exercises 71-74, find the exact length of the arc intercepted by a central angle on a circle of...Problem 75PE:
A 6-ft pendulum swings through an angle of 4036 . What is the length of the arc that the tip of the...Problem 76PE:
A gear with a 1.2-cm radius moves through an angle of 22015 . What distance does a point on the edge...Problem 78PE:
a. What is the geographical relationship between two points that have the same latitude? b. What is...Problem 79PE:
For Exercises 79-82, assume that the Earth is approximately spherical with radius 3960mi ....Problem 80PE:
For Exercises 79-82, assume that the Earth is approximately spherical with radius 3960mi ....Problem 81PE:
For Exercises 79-82, assume that the Earth is approximately spherical with radius 3960mi ....Problem 82PE:
For Exercises 79-82, assume that the Earth is approximately spherical with radius 3960mi ....Problem 83PE:
A pulley is 16cm in diameter. a. Find the distance the load will rise if the pulley is rotated 1350...Problem 84PE:
A pulley is 1.2ft. in diameter. a. Find the distance the load will rise if the pulley is rotated 630...Problem 85PE:
A hoist is used to lift a palette of bricks. The drum on the hoist is 15in. in diameter. How many...Problem 86PE:
A winch on a sailboat is 8in. in diameter and is used to pull in the "sheets" (ropes used to control...Problem 87PE:
A surveyor uses a subtense bar to find the distance across a river. If the angle of sight between...Problem 88PE:
A surveyor uses a subtense bar to find the distance across a canyon. If the angle of sight between...Problem 89PE:
A circular paddle wheel of radius 3ft is lowered into a flowing river. The current causes the wheel...Problem 90PE:
An energy-efficient hard drive has a 2.5-in . diameter and spins at 4200rpm . a. What is the angular...Problem 91PE:
A 714-in.-diameter circular saw has 24 teeth and spins at 5800rpm . a. What is the angular speed? b....Problem 92PE:
On a weed-cutting device, a thick nylon line rotates on a spindle at 3000rpm . a. Determine the...Problem 93PE:
A truck has 2.5-ft tires (in diameter). a. What distance will the truck travel with one rotation of...Problem 94PE:
A bicycle has 25-in . wheels (in diameter). a. What distance will the bicycle travel with one...Problem 96PE:
For Exercises 95-98, find the exact area of the sector. Then round the result to the nearest tenth...Problem 98PE:
For Exercises 95-98, find the exact area of the sector. Then round the result to the nearest tenth...Problem 99PE:
A slice of a circular pizza 12in .in diameter is cut into a wedge with a 45 angle. Find the area and...Problem 100PE:
A circular cheesecake 9in. in diameter is cut into a slice with a 20 angle. Find the area and round...Problem 101PE:
The back wiper blade on an SUV extends 3in. from the pivot point to a distance of 17in. from the...Problem 102PE:
A robotic arm rotates through an angle of 160 . It sprays paint between a distance of 0.5 ft and 3...Problem 109PE:
The second hand of a clock moves from 12:10 to 12:30 . a. How many degrees does it move during this...Problem 110PE:
The minute hand of a clock moves from 12:10 to 12:15 . a. How many degrees does it move during this...Problem 111PE:
The Earth's orbit around the Sun is elliptical (oval shaped). However, the elongation is small, and...Problem 112PE:
The Earth completes one full rotation around its axis (poles) each day. a. Determine the angular...Problem 113PE:
Two gears are calibrated so that the smaller gear drives the larger gear. For each rotation of the...Problem 114PE:
Two gears are calibrated so that the larger gear drives the smaller gear. The larger gear has a 6-in...Problem 115PE:
A spinning-disc confocal microscope contains a rotating disk with multiple small holes arranged in a...Problem 116PE:
For Exercises 116-119, approximate the area of the shaded region to 1 decimal place. In the figure,...Problem 117PE:
For Exercises 116-119, approximate the area of the shaded region to 1 decimal place. In the figure,...Problem 118PE:
For Exercises 116-119, approximate the area of the shaded region to 1 decimal place. In the figure,...Problem 119PE:
For Exercises 116-119, approximate the area of the shaded region to 1 decimal place. In the figure,...Problem 121PE:
For an angle drawn in standard position, explain how to determine in which quadrant the terminal...Problem 122PE:
As the fan rotates (see figure), which point A or B has a greater angular speed? Which point has a...Problem 123PE:
If an angle of a sector is held constant, but the radius is doubled, how will the arc length of the...Problem 124PE:
If an angle of a sector is doubled, but the radius is held constant, how will the arc length of the...Problem 125PE:
When a person pedals a bicycle, the front sprocket moves a chain that drives the back wheel and...Problem 126PE:
In the third century B.C. , the Greek astronomer Eratosthenes approximated the Earth's...Browse All Chapters of This Textbook
Chapter R - Review Of PrerequisitesChapter R.1 - Sets And The Real Number LineChapter R.2 - Exponents And RadicalsChapter R.3 - Polynomials And FactoringChapter R.4 - Rational Expressions And More Operations On RadicalsChapter R.5 - Equations With Real SolutionsChapter R.6 - Complex Numbers And More Quadratic EquationsChapter R.7 - Applications Of EquationsChapter R.8 - Linear, Compound, And Absolute Value InequalitiesChapter 1 - Functions And Relations
Chapter 1.1 - The Rectangular Coordinate System And Graphing UtilitiesChapter 1.2 - CirclesChapter 1.3 - Functions And RelationsChapter 1.4 - Linear Equations In Two Variables And Linear FunctionsChapter 1.5 - Applications Of Linear Equations And ModelingChapter 1.6 - Transformations Of GraphsChapter 1.7 - Analyzing Graphs Of Functions And Piecewise-defined FunctionsChapter 1.8 - Algebra Of Functions And Function CompositionChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions And ApplicationsChapter 2.2 - Introduction To Polynomial FunctionsChapter 2.3 - Division Of Polynomials And The Remainder And Factor TheoremsChapter 2.4 - Zeros Of PolynomialsChapter 2.5 - Rational FunctionsChapter 2.6 - Polynomial And Rational InequalitiesChapter 2.7 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Inverse FunctionsChapter 3.2 - Exponential FunctionsChapter 3.3 - Logarithmic FunctionsChapter 3.4 - Properties Of LogarithmsChapter 3.5 - Exponential And Logarithmic Equations And ApplicationsChapter 3.6 - Modeling With Exponential And Logarithmic FunctionsChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - Trigonometric Functions Defined On The Unit CircleChapter 4.3 - Right Triangle TrigonometryChapter 4.4 - Trigonometric Functions Of Any AngleChapter 4.5 - Graphs Of Sine And Cosine FunctionsChapter 4.6 - Graphs Of Other Trigonometric FunctionsChapter 4.7 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Fundamental Trigonometric IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle, Power-reducing, And Half-angle FormulasChapter 5.4 - Product-to-sum And Sum-to-product FormulasChapter 5.5 - Trigonometric EquationsChapter 6 - Applications Of Trigonometric FunctionsChapter 6.1 - Applications Of Right TrianglesChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - Harmonic MotionChapter 7 - Trigonometry Applied To Polar Coordinate Systems And VectorsChapter 7.1 - Polar CoordinatesChapter 7.2 - Graphs Of Polar EquationsChapter 7.3 - Complex Numbers In Polar FormChapter 7.4 - VectorsChapter 7.5 - Dot ProductChapter 8 - Systems Of Equations And InequalitiesChapter 8.1 - Systems Of Linear Equations In Two Variables And ApplicationsChapter 8.2 - Systems Of Linear Equations In Three Variables And ApplicationsChapter 8.3 - Partial Fraction DecompositionChapter 8.4 - Systems Of Nonlinear Equations In Two VariablesChapter 8.5 - Inequalities And Systems Of Inequalities In Two VariablesChapter 8.6 - Linear ProgrammingChapter 9 - Matrices And Determinants And ApplicationsChapter 9.1 - Solving Systems Of Linear Equations Using MatricesChapter 9.2 - Inconsistent Systems And Dependent EquationsChapter 9.3 - Operations On MatricesChapter 9.4 - Inverse Matrices And Matrix EquationsChapter 9.5 - Determinants And Cramer’s RuleChapter 10 - Analytic GeometryChapter 10.1 - The EllipseChapter 10.2 - The HyperbolaChapter 10.3 - The ParabolaChapter 10.4 - Rotation Of AxesChapter 10.5 - Polar Equations Of ConicsChapter 10.6 - Plane Curves And Parametric EquationsChapter 11 - Sequences, Series, Induction, And ProbabilityChapter 11.1 - Sequences And SeriesChapter 11.2 - Arithmetic Sequences And SeriesChapter 11.3 - Geometric Sequences And SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 11.6 - Principles Of CountingChapter 11.7 - Introduction To Probability
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