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1.a fish is dropped into the edge of an eight foot deep larg

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1.a fish is dropped into the edge of an eight foot deep large cylindrical tank.the fish is a bit confused and swims 8 yards straight and runs into the tank.it then turns exactly 90 degress and swims straight for 6 yards and runs into the tank again.What is the volume of the tank in cubic feet
2.if a cup is 5 inches tall and holds 12 ounces how much liquid will a similar cup that is 9 inches tall hold?
3.in the circle sketch two triangles that are similar using A,B,C,D,E as vertices.
a.If DE=8,AE=4,and EB=6,then what is EC?
b.Will triangle drawn like this inside a circle always be similar?Explain.
第一题,看俯视图,先游8 yards,再转九十度,6 yards 1yard=3foot
圆柱底面(2R)^2=8^2+6^2所以,底面半径为15foot
圆柱容积就是V=πR^2h=1800π
第二道题,5英寸高,承载12盎司,地面面积就认为是12/5
那么,九英寸高,就有12/5*9=108/5盎司.
第三题,就是几何计算,小偷懒一下,就是相交弦定理.参考摆到底下,
知道定理,可以轻松算得EC=3
而至于证明后面的三角形,下面的证明里也有.