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**Additional info for Schaum's Outline of Elementary Algebra, 3ed (Schaum's Outlines)**

6-80 to 6-82. Fig. 6-80 (3. eleven) Fig. 6-81 Ans. a) p ϭ 18s 6. eleven. e) a hundred mi Fig. 6-82 b) p ϭ 7a ϩ b c) p ϭ 4a ϩ πa locate the world of a sq. backyard in sq. inches. (4. 1) Ans. 362 or 1296 in2 6. 12. locate the world of a sq. in sq. inches whose aspect is: b) 6ᎏ12ᎏ in a) five in Ans. a) 25 in 6. thirteen. 2 c) 7. 2 in 2 1 ᎏᎏ four (4. 2) b) forty two in d) 1 feet three in 2 e) 1. three feet 2 c) fifty one. eighty four in e) 243. 36 in2 d) 225 in locate the world in sq. toes of: (4. three) a) a rectangle with aspects of 8ᎏ12ᎏ and 12 toes b) a parallelogram with a base of 5ᎏ12ᎏ toes and an altitude of four toes c) a triangle with a base of 10. four feet and an altitude of eight feet ΄ ΅ h d) a trapezoid with bases of 6 and four feet and an altitude of 3ᎏ12ᎏ toes A ϭ ᎏᎏ (b ϩ b′) 2 Ans. a) 102 ft2 b) 22 ft2 c) forty-one. 6 ft2 d) 17ᎏ12ᎏ ft2 132 6. 14. formulation For a circle, kingdom a formulation which relates: a) b) c) d) a) A ϭ 6S πr 2 c) S ′′ ϭ ᎏ ᎏ four A b) S′ ϭ ᎏᎏ three 1 πd 2 πd 2 d) S′′ ϭ ᎏᎏ ᎏᎏ ϭ ᎏᎏ four sixteen four locate, by way of π and to the closest integer, utilizing π ϭ three. 14, the world of: a) b) c) d) 6. sixteen. (4. four) the world of the circle A and a 60Њ area S a one hundred twentyњ zone of S′ and the realm of the circle A a ninetyњ region of S′′ and the radius r a ninetyњ area of S′′ and the diameter d Ans. 6. 15. [CHAP. 6 a circle whose radius is 30 cm a circle whose diameter is eighteen in a semicircle whose radius is 14 feet a forty fiveњ region whose radius is 12 m Ans. (4. five) 900π or 2826 cm2 eighty oneπ or 254 in2 ninety eightπ or 308 ft2 18π or fifty seven m2 kingdom the formulation for the realm A of every shaded zone in Figs. 6-83 to 6-88. a) s b) b s s c) s s s c (4. 6, four. 7) s s s s s a Fig. 6-83 Fig. 6-84 Fig. 6-85 f) e) d) r r r r r r Fig. 6-86 Ans. 6. 17. c a) A ϭ ᎏᎏ (a ϩ b) 2 d) A ϭ πr 2 ϩ 2r 2 Fig. 6-87 Fig. 6-88 b) A ϭ 5s2 c) A ϭ s2 ϩ 1ᎏ12ᎏs2 or 2ᎏ12ᎏs 2 e) A ϭ 8r 2 Ϫ 2πr 2 f) A ϭ 4πr 2 Ϫ πr 2 or 3πr 2 locate, to the closest integer, utilizing π ϭ three. 14, the entire quarter of: a) b) c) d) (4. eight) a dice with an fringe of 7 yd an oblong good with dimensions of eight, 6ᎏ12ᎏ, and 14 feet a sphere with a radius of 30 in a cylinder of revolution with a radius of 10 rods and a peak of 4ᎏ12ᎏ rd [Hint. Use T ϭ 2πr(r ϩ h)] Ans. a) 6(72) or 294 yd2 b) 2(8)(6ᎏ12ᎏ) ϩ 2(8)(14) ϩ 2(6ᎏ12ᎏ)(14) or 510 ft2 c) 4(3. 14)302 or 11,304 in2 d) 2(3. 14)(10)(10 ϩ 4ᎏ12ᎏ) or 911 rd2 CHAP. 6] 6. 18. 133 formulation locate the amount of: (5. 1) a) a cubic backyard in cubic inches b) a cubic rod in cubic yards c) a cubic meter in cubic centimeters Ans. a) 363 or 46,656 in3 6. 19. c) 1003 or a million cm3 locate, to the closest cubic inch, the amount of a dice whose aspect is: Ans. 6. 20. b) (5ᎏ12ᎏ)3 or 166ᎏ38ᎏ yd3 (5. 2) a) three in b) 4ᎏ12ᎏ in c) 7. five in d) three feet e) 1 feet 2 in a) 27 in3 b) ninety one in3 c) 422 in3 d) 46,656 in3 e) 2744 in3 locate, to the closest integer, the quantity of: (5. three) a) an oblong good whose size is three in, width 8ᎏ12ᎏ in, and top eight in b) a prism having a peak of two toes and a sq. base whose facet is three yd c) a pyramid having a peak of two yd and a base whose region is 6. four ft2 Ans. a) 3(8ᎏ12ᎏ)(8) or 204 in3 6.