Idaho
Society of Professional Engineers
PO Box 170239, Boise, ID 83717-0239 208-426-0636 Fax: 208-426-0639 E-Mail: ispe@idahospe.org
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PO Box 170239, Boise, ID 83717-0239 208-426-0636 Fax: 208-426-0639 E-Mail: ispe@idahospe.org |
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Idaho Society of Professional Engineers Friday Update – 01/16/09
UPCOMING EVENTS:
VOLUNTEERS NEEDED!
Volunteers from all engineering disciplines
are needed to interview Boise State Students for the 2009 Outstanding
Engineering Student Awards. Volunteers will make the selection of the
outstanding student in each of the four disciplines (CE, ME, EE, and Material
Science) at
COMMUNITY WORKSHOP: Protection of Property Rights and Natural Resources Through No Adverse Impact Floodplain and Stormwater Management Idaho Rivers United and many, many sponsors are proud to announce that national floodplain management expert Edward A Thomas, Esq. will be coming to Idaho February 24-26, 2009. Mr. Thomas will be appearing at many different events including the Idaho Environmental Forum and the Boise River Community Lecture on February 24, a Community Workshop on February 25 and a continuing legal education class on February 26. The attached flyer provides basic information about these events
ISPE SINCERELY APPRECIATES THE SUPPORT OF ALL OF OUR CURRENT 2008 - 2009 SUSTAINING ORGANIZATIONS:
AHJ Engineers PC B & A Engineers, Inc Briggs Engineering, Inc Elkhorn Engineers G & S Structural Engineers J.M. Miller Engineering Inc J-U-B Engineers, Inc Land Solutions, Land Surveying & Consulting Mason & Stanfield Inc Materials Testing & Inspection Inc MWH Progressive Engineering Group Inc Quadrant Consulting, Inc Riedesel Engineering Inc Schiess & Associates Smarter Process Inc Stapley Engineering Terracon TerraGraphics Environmental Engineers Inc Walker Engineering
Please consider joining these great companies in
becoming an
ISPE Sustaining Organization. ISPE offers the Sustaining
Organization category of membership to enhance the visibility of your commitment
to ISPE and the engineering profession. Your membership will allow us to better
serve the engineering community through promoting engineering and ethics, and
supporting the needs of the engineer including professional development.
MATHCOUNTS PROBLEM OF THE WEEK
Football The minimum starting annual salary for rookies in the NFL is $295,000. The minimum annual salary is $370,000 for second year players and $445,000 for third year players. For a player earning the minimum salary for their experience, what is the positive difference between the percent increase the $75,000 represents from the first to second year and the percent increase the $75,000 represents from the second to third year? Express your answer as a decimal to the nearest tenth. ----------------------------------------------------------------------------- There are 32 teams in the NFL. Sixteen of the teams are in the American Football Conference (AFC) and the other 16 teams are in the National Football Conference (NFC). At the beginning of the season, Julia tried to predict the teams that would be in each conference's championship by randomly drawing 4 teams (2 AFC teams and 2 NFC teams) from a hat. What is the probability that the 4 teams she selected are the same four teams that will be in the conferences' championships? Express your answer as a common fraction. ----------------------------------------------------------------------------- In football, teams can score 6 points with a touchdown, 3 points with a field goal or 2 points with a safety. Additionally, after a touchdown, teams can score 1 bonus point with a field goal kick or 2 bonus points with a 2-point conversion. The final score of a particular football game was 13 to 11. If every touchdown is followed with a successful bonus point attempt (1 or 2 points), how many different scoring combinations could have resulted in the losing team's 11 points?
Answer to the last MATHCOUNTS problem: The diameter of the first ball is 20 inches, thus the diameter of the second ball is 0.8(20) = 16 inches. This means that the diameter of the third ball is 0.8(16) = 12.8 inches. ----------------------------------------------------------------------------- First let’s determine how big each of Chiquita’s snowballs is. We know the first ball has a diameter of 20 inches, thus its volume is (4/3)(20/2)3π = 1333.3333π cubic inches. This means that the second ball has a volume of 0.8(1333.3333π) = 1066.6667π cubic inches, and the third ball has a volume of 0.8(1066.6667π) = 853.3334π cubic inches. The diameter of the third ball can be found by determining its radius (V = (4/3)πr3) and then multiplying by 2. Thus the diameter of the third ball is 853.3334π = (4/3)πr3à r = 8.617 à d = 17.235 inches. Following the same process we find that the second ball has a diameter of 18.566 inches. We already knew the diameter of the first ball to be 20 inches. By adding 20, 18.566 and 17.235 we find the height of Chiquita’s snowman to be 55.801 inches. We know the diameter’s of Rhonda’s snowballs from the previous question so we can quickly find her snowman’s height to be 20 + 16 + 12.8 = 48.8 inches.
Thus, the difference in height is 55.801 – 48.8 = 7.0 inches, to the nearest tenth. ----------------------------------------------------------------------------- Again, based on the first question we have the diameters of Rhonda’s snowballs (20, 16 and 12.8). Since the volume of a cube is (side length)3 we can just cube these lengths to determine the volume of snow Benjamin used. 203 = 8000
8000 + 4096 + 2097.152 = 14,193.152
Now let’s determine the volume of snow Rhonda used. Remember, for a sphere, V = (4/3)πr3.
(4/3)103π = 1333.333π
Thus, Benjamin used 14,193.152 – 7431.516 = 6761.6 cubic inches of snow, to the nearest tenth, more than Rhonda.
If you want to see the problem again, click http://mathcounts.org/Page.aspx?pid=1403
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National Engineers Week - Future City Competition
Board of Professional Engineers and Professional Land Surveyors
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