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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Idaho Society of Professional Engineers
UPCOMING EVENTS:
NSPE EDUCATION FOR YOU AND YOUR FIRM With the holidays coming, NSPE is spreading good cheer by offering a 50% discount on all online courses with certification. Use discount code "holiday" at checkout to receive this offer, available until December 31.
Make Your Outreach Count Can engineers around the world volunteer one million hours of their time to support science, technology, engineering, and mathematics education? That's what Engineers Week wants to find out. To quantify Engineers Week's global outreach to support STEM education, Engineers Week and NSPE have launched a "One Million Hours Initiative" and need your help. At http://www.eweek.org/, engineers can log the volunteer hours they've contributed to outreach activities. Examples of activities include the following:
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
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serve the engineering community through promoting engineering and ethics, and
supporting the needs of the engineer including professional development.
MATHCOUNTS PROBLEM OF THE WEEK
Snowman Geometry For the following problems assume that the snowballs are perfect spheres.
Chiquita and Rhonda are each building a snowman. Rhonda tells Chiquita that she is making each of her 3 balls of snow 20% smaller than the one below it. Rhonda starts by making the base ball with a diameter of 20 inches. If she reduces the diameter by 20% each time she makes a new ball, what is the diameter of the third ball she makes (the ball for the snowman’s head)? Express your answer as a decimal to the nearest tenth. -------------------------------------------------------------------------------- Chiquita planned to do the same thing as Rhonda but she misunderstood what Rhonda meant when she said “…20% smaller than the one below it.” Chiquita made her first ball the same size as Rhonda but then decreased the volume by 20% for each subsequent ball. How much taller is Chiquita’s completed snowman than Rhonda’s completed snowman? Express your answer as a decimal to the nearest tenth. -------------------------------------------------------------------------------- Rhonda’s little brother, Benjamin, comes outside and decides to make a snowman out of cubes of snow instead of balls. If each of his three cubes has a side length equal to the diameter of the corresponding ball on Rhonda’s snowman, how many more cubic inches of snow did Benjamin use than Rhonda? Express your answer as a decimal to the nearest tenth.
Answer to the last MATHCOUNTS problem: Since we know she got a 60% discount, we know that she paid 40% of the original price. If the original price of the dress is x, then we can say that 0.4(x) = the price of the dress before tax and (1.055)(0.4x) = the price after tax, or $50.64. By solving for x, we can find the original price of the dress.
(1.055)(0.4x) = 50.64 -------------------------------------------------------------------------------- If each sweater originally cost $100, the discounted prices are (100 – 0.3(100)) = $70 and 0.5(100 – 0.3(100)) = $35. Which means that she paid ((70 +35)/200)(100)= 52.5%. Thus, she saved 47.5% --------------------------------------------------------------------------------
0.8(699.99) = 559.992 599.992 – 559.992 = $40.00
If you want to see the problem again, click http://mathcounts.org/Page.aspx?pid=1398
Idaho Society of Professional Engineers PO Box 170239 Boise, ID 83717-0239 208-426-0636 Fax: 208-426-0639 E-Mail: ispe@idahospe.org Web Site: www.Idahospe.org
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