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# geo probs

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1.Given that the diagonals of a rhombus are always perpendicular bisectors of each other, what is the area of a rhombus with side length sqrt89  units and diagonals that differ by 6 units?

2.In the diagram, four squares of side length 2 are placed in the corners of a square of side length 6. Each of the points W,X Y,Z , and  is a vertex of one of the small squares. Square ABCD  can be constructed with sides passing through W,X Y,Z , . What is the maximum possible distance from A  to P ?

3. Two chords, AB  and CD meet inside a circle at P If AP=3  and CP=8 then what is BD/DP?

4.The width, length, and height of a rectangular prism are each increased by 10%. What is the percent increase in the volume of the prism? Express your answer to the nearest whole number.\

5.A right square pyramid with base edges of length 8sqrt2 units each and slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. What is the volume, in cubic units, of the new pyramid that is cut off by this plane?

6.The lateral surface area of a cylindrical tube with a height of 6 cm is 48 pi  square centimeters. In cubic centimeters, what is the tube's volume? Express your answer in terms of pi.

Apr 1, 2020

#1
+12219
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1.Given that the diagonals of a rhombus are always perpendicular bisectors of each other, what is the area of a rhombus with side length sqrt89  units and diagonals that differ by 6 units?

Apr 1, 2020
#2
+12219
+1

2.In the diagram, four squares of side length 2 are placed in the corners of a square of side length 6. Each of the points W,X Y,Z , and  is a vertex of one of the small squares. Square ABCD  can be constructed with sides passing through W,X Y,Z , . What is the maximum possible distance from A  to P ?

Apr 1, 2020
#3
+264
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thank you!

xxJenny1213xx  Apr 1, 2020