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LINKING concepts...
For Individual or Group Explorations
Designing a Racing Boat
According to International America’s Cap Class rales, the basic dimensions of any yacht competing for the silver trophy mast satisfy the inequality
where I. is the length in meters. S is the sail area in square meters, and D is the displacement in cubic meters (Americas Cap. www.americascup.org). Use a graphing utility to gel approximate answers to the following questions.
a) A team of British designers wants its new boat to have a length of 20.85 m and a displacement of 17.67 m3 Write the inequality that must he satisfied by the sail area S. Use the graphing technique described in this section to find the interval in which S must lie.
b) A team of Australian designers wants its new boat to have a sail area of 312.54 nr and length of 21.45 m. Write the inequality that must be satisfied by the displacement D. Use the graphing technique to find the interval in which D must lie.
c) A team of American designers wants its new boat to have a sail area of 310.28 nr and a displacement of 17.26 m3 Write the inequality that must be satisfied by the length L. Use the graphing technique to find the interval in which L must lie.
d) When two of the three variables are fixed, the third variable has either a maximum or minimum value. Explain how you can determine whether it is a maximum or minimum by looking at the original inequality.
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Chapter 2 Solutions
College Algebra (6th Edition)
- File Edit View History Bookmarks Profiles Tab Window Window Help Things Quadratics! Part 1 X SM◄))) 61% Fri 25 student.desmos.com/activitybuilder/instance/67b739e7356cae7898fd0dbd/student/67b8f115811d42186c239e23#screenid=41a95 ngs Quadratics! Part 1: Parabolas Mitchell 30 30 foo feet 20- 20 10 0 -10 FEB 21 3 10 10 80 FS F3 X Intercepts #2 20 20 Approximately how tall is the shooter? > Which intercept did you use to solve the above problem? x-intercept y-intercept 30 feet Explain your thinking. 1 √E Submit 00000 acBook stv 399 ? DOD 000 F4 % 5 W E R F5 A F6 F7 F9 & * 7 8 9 0 Y U C 014arrow_forwardThe table below shows the acreage, number of visitors, and total revenue of state parks and recreational areas in Massachusetts, New York, and Vermont in 2010. State Acreage (in thousands) Visitors (in thousands) Revenue (in thousands) Massachusetts 350 35,271 $12,644 New York 1,354 56,322 $85,558 Vermont 69 758 $10,969 Select the three true statements based on the data in the table. A. Vermont had the highest revenue per acre of state parks and recreational areas. B. Vermont had approximately 11 visitors per acre of state parks and recreational areas. C. New York had the highest number of visitors per acre of state parks and recreational areas. D. Massachusetts had approximately 36 visitors per acre of state parks and recreational areas. E. New York had revenue of approximately $63.19 per acre of state parks and recreational areas. F. Massachusetts had revenue of approximately $0.03 per acre of state parks and recreational areas.arrow_forwarda) show that the empty set and sigletonset are convex set. 6) show that every sub space of linear space X is convex but the convers heed not be true. c) let Mand N be two convex set of a linear Space X and KEF Show that MUN is conevex and (ii) M-N is convex or hot A and is MSN or NSM show that MUN convex or not, 385arrow_forward
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- Practice k Help ises A 96 Anewer The probability that you get a sum of at least 10 is Determine the number of ways that the specified event can occur when two number cubes are rolled. 1. Getting a sum of 9 or 10 3. Getting a sum less than 5 2. Getting a sum of 6 or 7 4. Getting a sum that is odd Tell whether you would use the addition principle or the multiplication principle to determine the total number of possible outcomes for the situation described. 5. Rolling three number cubes 6. Getting a sum of 10 or 12 after rolling three number cubes A set of playing cards contains four groups of cards designated by color (black, red, yellow, and green) with cards numbered from 1 to 14 in each group. Determine the number of ways that the specified event can occur when a card is drawn from the set. 7. Drawing a 13 or 14 9. Drawing a number less than 4 8. Drawing a yellow or green card 10. Drawing a black, red, or green car The spinner is divided into equal parts. Find the specified…arrow_forwardAnswer the questionsarrow_forwardHow can I prepare for me Unit 3 test in algebra 1? I am in 9th grade.arrow_forward
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