LINKING concepts... For Individual or Group Explorations Designing a Race Track An architect is designing a race track that will be 60 feel wide and have semicircular ends, as shown in the accompanying figure. The length of the track is to he one mile. measured on the inside edge of the track. a) Find the exact dimensions for x and y in the figure that will maximize the area of the rectangular center section. b) Round the answers to part (a) to the nearest tenth of a foot and make an accurate drawing of the track. c) Find the exact dimensions for x and y that will maximize the total area enclosed by the track. d) Repeat parts (a), (b), and (c) assuming that the one-mile length is measured on the outside edge of the track.
LINKING concepts... For Individual or Group Explorations Designing a Race Track An architect is designing a race track that will be 60 feel wide and have semicircular ends, as shown in the accompanying figure. The length of the track is to he one mile. measured on the inside edge of the track. a) Find the exact dimensions for x and y in the figure that will maximize the area of the rectangular center section. b) Round the answers to part (a) to the nearest tenth of a foot and make an accurate drawing of the track. c) Find the exact dimensions for x and y that will maximize the total area enclosed by the track. d) Repeat parts (a), (b), and (c) assuming that the one-mile length is measured on the outside edge of the track.
Solution Summary: The author calculates the dimensions of xandy in the figure that will maximize the area of the rectangular center section.
An architect is designing a race track that will be 60 feel wide and have semicircular ends, as shown in the accompanying figure. The length of the track is to he one mile. measured on the inside edge of the track.
a) Find the exact dimensions for x and y in the figure that will maximize the area of the rectangular center section.
b) Round the answers to part (a) to the nearest tenth of a foot and make an accurate drawing of the track.
c) Find the exact dimensions for x and y that will maximize the total area enclosed by the track.
d) Repeat parts (a), (b), and (c) assuming that the one-mile length is measured on the outside edge of the track.
There were 426 books sold in one week. The number of biology books sold was 5 times that of the number of psychology books. How many books each were sold?
Population decreases 5% each year. Starts with a starting population of 3705. Find that population after 5 years.
solve using substitution
-2x-3y=-15
-3x+9y=12
Chapter 3 Solutions
College Algebra, Books a la Carte Edition, plus NEW MyLab Math- Access Card Package (6th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.