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131-malekpour-07fafin

# 131-malekpour-07fafin - MATH 131 ‘ SHIRIN MALEKPOUR FINAL...

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Unformatted text preview: MATH 131 ‘ DECEMBER 14, 2007 SHIRIN MALEKPOUR FINAL EXAM Name: - I- - 11 III 20 Points > 20 PoiEts YOU NEED TO SHOW WORK TO GET FULL CREDIT. Name: I. (20 points.) Suppose that you have a map with a scale of 1 inch=100 miles. You trace a state on the map onto i-inch graph paper. (The grid lines are i inch apart.) You count that the state takes up about 150 squares of graph paper. Approximately what is the area of the state? Explain. - ‘ Name: II. (20 points.) following ﬁgure. The boundary between the Obama and Clinton properties is shown in the The Obamas and Clintons would like to change the this boundary so that the new boundary is one straight line and so that each family still has the same amount of land area. The following picture has been suggested to them, with line AB being the new boundary. Does it work? Why? If not, describe a precise way of redrawing the boundary. Explain your reasoning. Name: III. (20 points.) Find tho area of the following trapezoid. Explain your calculations and reasonings. ' 3cm 6cm Name: IV. (20 points.) Consider-he following four—petal ﬂower is a carpet pattern. The side of the square is 20 cm. Find the area of the ﬂower? Name: V. (20 points.) 1. Make a pattern for a cone such that the portion of the cone made Without the base is made of from g of a circle (by joining radii) and such that the base of the cone is is a circle of radius 20 cm. Show any relevant calculations, explaining you reasoning. 2. Determine the total surface area of your cone (includingthe base)? ...
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131-malekpour-07fafin - MATH 131 ‘ SHIRIN MALEKPOUR FINAL...

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