Mathematics, 12.01.2020 21:31 mrfishyyyy
8. mapmakers have long believed that only four colors are necessary to distinguish among any number of different
countries on a plane map. countries that meet only at a point may have the same color provided they do not have
an actual border. the conjecture that four colors are sufficient for every conceivable plane map eventually attracted
the attention of mathematicians and became known as the "four-color problem". despite extraordinary efforts over
many years to solve the problem, no definite answer was obtained until the 1980's. four colors are indeed
sufficient, and the proof was accomplished by making ingenious use of computers. the following problems will
you appreciate some of the complexities of the four color problem. for these "maps", assume that each closed
region is a different country. what is the minimum number of colors necessary for each map?
Answers: 2
Mathematics, 21.06.2019 13:00, arielpraczko1
20+ ! come and answer quick! triangle mno is reflected over the x-axis and then translated up 4 and right 3. how can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same position? a translate the pre-image down 4 and right 3 and then reflect the figure over the x-axis. b translate the pre-image up 3 and right 4 and then reflect the figure over the x-axis. c translate the pre-image up 4 and left 3 and then reflect the figure over the y-axis. d translate the pre-image down 3 and right 4 and then reflect the figure over the x-axis.
Answers: 2
Mathematics, 21.06.2019 16:30, cxttiemsp021
Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?
Answers: 1
Mathematics, 21.06.2019 18:00, amyrose90999
Aman is 6 feet 3 inches tall. the top of his shadow touches a fire hydrant that is 13 feet 6 inches away. what is the angle of elevation from the base of the fire hydrant to the top of the man's head?
Answers: 2
8. mapmakers have long believed that only four colors are necessary to distinguish among any number...
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