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D the side of a square is equal to the 2 diagonal

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Unformatted text preview: rcise 9 1. (D) There are 6 equal squares in the surface area of a cube. Each square will have an area of 96 or 16. Each edge is 4. 6 Exercise 10 1. 2. (E) If the radius is multiplied by 3, the area is multiplied by 32 or 9. (D) If the dimensions are all doubled, the area is multiplied by 22 or 4. If the new area is 4 times as great as the original area, is has been increased by 300%. (A) If the area ratio is 9 : 1, the linear ratio is 3 : 1. Therefore, the larger radius is 3 times the smaller radius. (B) Ratio of circumferences is the same as ratio of radii, but the area ratio is the square of this. (C) We must take the cube root of the volume ratio to find the linear ratio. This becomes much easier if you simplify the ratio first. 250 125 = 128 64 V = e 3 = 4 3 = 64 2. (C) V = πr2h = · 49 · 10 = 1540 cubic 7 inches Divide by 231 to find gallons. 3. (B) V = πr2h = 22 · 9 · 14 = 396 cubic inches 7 22 3. Divide by 9 to find minutes. 4. (B) V = l · w · h = 10 · 8 · 4 = 320 cubic inches Each small cube = 4 = 64 cubic inches. Therefore it will require 5 cubes. 5. (A) Change 16 inches to 1 1 feet. 3 3 4. 5. V=6·5·1 5 · 40 = 25 8 1 = 40 cubic feet when full. 3 The linear ratio is then 5 : 4. 5 25 = 4x 5 x = 100 x = 20 www.petersons.com Geometry 229 Retest 1. (C) Area of trapezoid = 1 ⋅ 3(10 + 12 ) = 33 2 1 h ( b1 + b2 ) 2 6. Area = (C) Represent the angles as x, x, and 2x. They must add to 180°. 4 x = 180 x = 45 2. (A) Area of circle = πr2 = 16π 7. Therefore, r2 = 16 or r = 4 Circumference of circle = 2πr = 2π (4) = 8π 3. (D) The side of a square is equal to the 2 diagonal times . Therefore, the side is 4 2 2 and the perimeter is 16 2 . Therefore, the largest angle is 2x = 2(45°) = 90°. (B) A pentagon has 5 sides. Sum (n – 2)180 = 3(180) = 540° In a regular pentagon, all the angles are equal. 540 = 108° . Therefore, each angle = 5 8. (D) 4. (E) d= = ( 7 − 4 ) + (-7 - (-3)) 2 2 (3)2 + (-4 )2 = = 25 = 5 9 + 16 5. (D) An angle outside the circle is the difference...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.

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