
Concept explainers
Use the Pythagorean Theorem to solve Exercises 39-46. Use your calculator to find square roots, rounding, if necessary, to the nearest tenth.
Picky, Picky, Picky This problem appeared on a high school mi exam:
Alex Is building a ramp for a hike competition, lie has two rectangular hoards. One hoard b six meters and the other B five meters long, li the ramp has to form a right triangle, what should its height he?
Students were asked to select the correct answer from the following options:
3 meters: 4 meters: 3.3 meters: 7H meters.
a. Among the available choices, which option best expresses the ramp's height? How many feet, to the nearest tenth of a foot, b this? Docs a bike competition that requires riders to jump off these heights seem realistic? (ouch!)
b. Express the ramp's height to the nearest hundredth of a meter. By how many centimeters does this differ from the "correct" answer on the test? How many inches, to the nearest half inch, is this? Is it likely that a carpenter with a tape measure would make this error?
c. According to the problem. Alex has boards that measure 5 meters and 6 meters. A 6-meters board? How many feel, to the nearest tenth of a foot, is this? When was the last time you found a board of the length at Home Depot? (Source: The New York Times, April 24. 2005)

Want to see the full answer?
Check out a sample textbook solution
Chapter 10 Solutions
Thinking Mathematically Plus MyLab Math -- Access Card Package (7th Edition) (What's New in Service Math)
- 2PM Tue Mar 4 7 Dashboard Calendar To Do Notifications Inbox File Details a 25/SP-CIT-105-02 Statics for Technicians Q-7 Determine the resultant of the load system shown. Locate where the resultant intersects grade with respect to point A at the base of the structure. 40 N/m 2 m 1.5 m 50 N 100 N/m Fig.- Problem-7 4 m Gradearrow_forwardif δ ≥ 2, then it contains a cycle with length at least δ + 1.arrow_forward+6x²+135x+1) (0≤x≤10). a) Find the number of units The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x²+6x² + 135x+ that should be sold in order to maximize the total profit. b) What is the maximum profit?arrow_forward
- 7. Find the doubling time of an investment earning 2.5% interest compounded a) semiannually b) continuouslyarrow_forward6. Find the time it will take $1000 to grow to $5000 at an interest rate of 3.5% if the interest is compounded a) quarterly b) continuouslyarrow_forwardA smallish urn contains 16 small plastic bunnies - 9 of which are pink and 7 of which are white. 10 bunnies are drawn from the urn at random with replacement, and X is the number of pink bunnies that are drawn. (a) P(X=6)[Select] (b) P(X>7) ≈ [Select]arrow_forward
- . Find how many years it takes for $1786 to grow to $2063 if invested at 2.6% annual interest compounded monthly. 12+arrow_forwardK=3, Gauss Seidel Fill in only 4 decimal places here in Canvas. Make sure in exam and homework, 6 decimal places are required. X1 = X2 = X3 =arrow_forwardA smallish urn contains 25 small plastic bunnies - 7 of which are pink and 18 of which are white. 10 bunnies are drawn from the urn at random with replacement, and X is the number of pink bunnies that are drawn. (a) P(X = 5)=[Select] (b) P(X<6) [Select]arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL




