Precalculus: Graphical, Numerical, Algebraic 8th Edition solutions

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Architectural Design Building Inspector Julie Wang checks a building in the shape of a regular octagon, each side 20 ft long. She checks that the contractor has located the corners of the foundation correctly by measuring several of the diagonals. Calculate what the lengths of diagonals HB, HC,

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Group Activity Page Design Hendrix Publishing Co. wants to design a page that has a 0.75-in. left border, a 1.5-in. top border, and borders on the right and bottom of 1-in. They are to surround \(40 \text { in. }^{2}\) of print material. Let x be the width of the print material. (a) Express the a

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Two-Softball Toss Chris and Linda warm up in the outfield by tossing softballs to each other. Suppose both tossed a ball at the same time from the same height, as illustrated in the figure. Find the minimum distance between the two balls and when this minimum distance occurs.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
True or False Exponential population growth is constrained with a maximum sustainable population. Justify your answer.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Motion of a Buoy A signal buoy in the Chesapeake Bay bobs up and down with the height h of its transmitter (in feet) above sea level modeled by h = a sin bt + 5. During a small squall its height varies from 1 ft to 9 ft and there are 3.5 sec from one 9-ft height to the next. What are the values of th

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Grade of a Highway Interstate 70 west of Denver, Colorado, has a section posted as a 6% grade. This means that for a horizontal change of 100 ft there is a 6-ft vertical change. (a) Find the slope of this section of the highway. (b) On a highway with a 6% grade what is the horizonta

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 143, solve the problem using your knowledge of geometry and the techniques of this section. Sketch a figure if one is not provided. Monthly Temperatures in Charleston The monthly normal mean temperatures for the last 30 years in Charleston, SC, are shown in Table 4.3. A scatter plot

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Hot Mercury Given that the diameter of the Sun is about 1.392 Gm, how close does Mercury get to the Suns surface?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In the game of Yahtzee, five dice are tossed simultaneously. How many outcomes can be distinguished if all the dice are different colors?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Free Fall of a Smoke Bomb At the Oshkosh, WI, air show, Jake Trouper drops a smoke bomb to signal the official beginning of the show. Ignoring air resistance, an object in free fall will fall d feet in t seconds, where d and t are related by the algebraic model \(d=16 t^{2}\). (a) How long

Precalculus: Graphical, Numerical, Algebraic 8th Edition
LP Turntable A suction-cup-tipped arrow is secured vertically to the outer edge of a turntable designed for playing LP phonograph records (ask your parents). A motion detector is situated 60 cm away. The turntable is switched on and a mo-tion detector measures the distance to the arrow as it revolves

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Ebb and Flow On a particular Labor Day, the high tide in Southern California occurs at 7:12 A.M. At that time you measure the water at the end of the Santa Monica Pier to be 11 ft deep. At 1:24 P.M. it is low tide, and you measure the water to be only 7 ft deep. Assume the depth of the water is a sin

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Bicycle Racing Cathy Nguyen races on a bicycle with 13-inch-radius wheels. When she is traveling at a speed of 44 ft/sec, how many revolutions per minute are her wheels making?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Distance DaShandas team of surveyors had to find the distance AC across the lake at Montgomery County Park. Field assistants positioned themselves at points A and C while DaShanda set up an angle-measuring instrument at point B, 100 feet from C in a perpendicular direction. DaShanda measured

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Tsunami Wave An earthquake occurred at 9:40 A.M. on Nov. 1, 1755, at Lisbon, Portugal, and started a tsunami (often called a tidal wave) in the ocean. It produced waves that traveled more than 540 ft/sec (370 mph) and reached a height of 60 ft. If the period of the waves was 30 min or 1800 sec, estim

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Damped Harmonic Motion A weight suspended from a spring is set into motion. Its displacement d from equilibrium is modeled by the equation \(d=0.4 e^{-0.2 t} \cos 4 t\), where d is the displacement in inches and t is the time in seconds. Find the displacement at the given time.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
A naval ship leaves Port Norfolk and averages 42 knots (nautical mph) traveling for 3 hr on a bearing of \(40^{\circ}\) and then 5 hr on a course of \(125^{\circ}\). What is the boats bearing and distance from Port Norfolk after 8 hr?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 143, solve the problem using your knowledge of geometry and the techniques of this section. Sketch a figure if one is not provided. Mechanical Design Suppose the wheel in a piston linkage like the one shown in Figure 4.94 has a radius of 18 cm and turns with an angular velocity of \(

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Navigation A ship is heading due north at 12 mph. The current is flowing southwest at 4 mph. Find the actual bearing and speed of the ship.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Six seniors at Rydell High School meet the qualifications for a competitive honor scholarship at a major university. The university allows the school to nominate up to three candidates, and the school always nominates at least one. How many different choices could the nominating committee make?