464 PRACTICAL MATHEMATICS 



0-7034 2-296 



(2 ' 



2(x z -x+l) 2(x z +x+l) ' x -1-112 x +5-052 



1 1 0-0409 0-266 - 0-0409a; 



( 22 ^ x- 4-707 + as- 1-013 ' x+ 3 + a? - 3-5x + 4-94 



(24) (a) 1 + 14# + 84,0? + 280a^ + 560a^ 



(b) 1 + 5x + 15 2 + 35a? + 



Wi + -j+y-^+ 

 i-5H---^ 



8 243 



(e) I- 



_ - 



(> " ~ 2 " l " 8 16 128 



(25) (a) 11-75, 11-74740; (b) 25-04, 25-03997; (c) 9-02058, 

 9-02053 ; (<*) 7-9375, 7-93701 ; (e) 7-95313, 7-95272 ; 

 (/) 5-01, 5-00997. 



x x x 

 (26) l + -+_ + 1?+ _ +...,1-0260. 



(27) (a) 0-3429, 0-3429 ; (b) 0-3762, 0-3781, 0-503 per cent. 



(28) 16-41 sees, lost, 12-31 sees, gained. 



(29) 01823. (30) T6487, 1-3956, 0-60653. 



(31) 0-69315, 1-09861, 1-38629, 1-60944. 



(32) 0-4002, - 3-93, 5-787. (33) 1-176, 18-58, 0-1258. 

 (84) 0-1681, 0-3119, 0-4376, 0-5495, 0-6498, 0-7413. 



(35) 0-01766, 0-01843, 0-01919, 0-01995. 



II (pages 36, 37) 



(1) (a) 29 11', 50 3', 100 46'. (b) 31, 50 13', 98 47'. 



(2) (a) 28-36, 43 12', 74 48'. (b) 4-343, 48 19', 76 41' 



(3) (a) 7-92, 68 51', 55 9' ; 2-146, 111 9', 12 51'. 



(b) 4-239, 61 10', 86 50' ; 2-069, 118 50', 29 10'. 



(4) (a) 30-44, 31 33', 110 27'. (b) 7-848, 28 26', 107 34'. 



(5) () 12-35, 8-618, 107. (b) 2-599, 1-662, 85. 



(6) 6-071, 29 31', 50 45', 99 44', 2-168, 2-759, 4-336. 



(7) 43 1', 61 48', 70 20'. 



(8) 5-762, 63, 106 17', 148 12', 42 31', 4-651. 



(9) - 0-5736, - 0-0523, - 0-8098, - 0-5592, 0-9272, 0-0699, 



0-2250, 0-6157, 0-1584, 0-7431, - 0-9613, 0-3443. 



(10) 0-9805, - 0-9481, - 6-535, 0-4441, - 0-9517, 2-2096, 0-6598, 



0-0642, - 0-6954. 



(11) 0, 0-159, 0-3429, 0-575, 1-1, 1-575, 1-891, 2. 



(12) 7-389, 5-652, 2-718, 1, 0-3679, 0-1769, 0-1353, = 20 16'. 



(13) A = 15-81, a = 55 18', = 124 42'. 



