ANSWERS. 1. (1.) .375; .625; ·4375; ·73; ·2142857; and .34375. (2.) ·538461; •6470588+; ·6315789+; •185185; ·7167235+; and .3183099-. (3.) 7.75; 4.375; 19.3125; 186.6; 493.34375; and 714.714285. (4.) £5·875; £11.63125; £118.389583; and £218.79375. (5.) 12.1875; 17°.67916; 108°.26875; and 85°.325. (6.) 11.5925 days; 28.71649305 days; 15.0124305; and 113.22170138. (7.) £3, 16s. 11d.; £11, 125. 7 d.2. 19s. old.6544; IS. 6d. ; and (8.) 7° 51′ 15′′·3; 123° 52′ 21′′; 64° 22′ 57′′; and 57° 17′ 44"-8062. (9.) 3 weeks 5 days 23 h. 34m. 37 s.; 7 days 19 h. 50 m. 31 s.; 3 h. 6 m. 54 s.; and 11 h. 46 m. 57 s. (10.) 1618.2585; 4087.3765625; 3.632475; 1.51647830625. (11.) 9.870-; 3·365+; 89.795; 2·467+. (12.) 2.39; 25; 1·13; II. (13.) 8810891; 908.8376804; 1108754; 01745329. (14.) .013244; 699264; 25.13; ·318309. (15.) 3.71; 2719.89; 42; 2.21. (16.) .0375; .069444; ·373913; ·234375; ·226666; ·328. (20.) 1° Fahrenheit=5 Centigrade; 1° C = 1.8 F. (21.) 997269560 day. = (22.) 1 N.M. 1.15202 I.M.; I I.M. .86804 N.M.; 1.151515; and .868421. = (23.) 1 kilomètre = .621382 miles; 1 mile = 1.609315 kilomètres. (24.) .122222. (25.) 16.579525. (26.) 3.10324 days; this is the reason why three leap-years are omitted in four centuries. (27.) .18988; 25; and £4, 4s. 41d. (28.) 80.655 degrees, or 80° 39′ 30′′; 89.6166 grades. 5. 16 4. (45.) 0; 18 = 1; 11. (47.) 9; 90. (46.) 20; 45. (49.) Let the three given terms be represented by a, b, and c, bc and the unknown term by x; then x may be either a' (89.) 56.67833; 9433.264; .00016384; 1701.562. (90.) 143713.1; 815.4349; 276.2124; .00060872. (91.) 97.41002; 07516201; 7995214. 7. (92.) 1.772456; 1.648721; 22.98369. (93) 5604996; 5213714; 2298369. (94.) 2.252261; 4·634259; 20.44621. (95.) 10.59038; 1.331336; 6070394. (96.) 1.414213; 1.73205; 2.236068; 2.449489; 2.645751; 2.828427; 3.162277. (97.) .6899832; 2.395349; 19.17029. (98.) .01452887; .00329329; 260120900000. (99.) 4887874; 09993715; 54-67499. (100.) 4817537; 1.298318; 2.639197. 8. (101.) B=57° 49′, perp.213.052, and base = 338.539. (102.) LA=46° 37′, perp. = 186.0543, and base = 175.8403. (103.) LA=36° 52′ 11′′-6, ▲ B=53° 7′ 48′′-4, and BC=333. (104.) LA=40° 8′ 46′′, ▲ B=49° 51′ 14′′, and AC=221·9546. (105.) B=38° 30′, BC= 792.0185, and AB=1012.024. (106.) A= 41° 3′, BC= 295.208, and AB=449.5206. (107.) LA=45° 28′ 50′′-5, B=44° 31′ 9′′.5, and BC= 434.2257. (108.) LA=54° 34′ 39′′, ▲ B=35° 25′ 21′′, and AB=426.9832. (109.) LA=44° 23′, AC=418.9219, and AB=586.1703. (110.) B=2° 49′, AC=47.3793, and AB=964·1648. (111) LA=18° 33′ 38′′-7, 336.5353. B=71° 26′ 21′′.3, and AC= (112.) LA=17° 39′ 24′′-4, LB=72° 20′ 35′′-6, and AB= 372.5506. 9. (113) C=52° 58′ 4′′, LA=66° 18′ 56′′, and BC= 1053.092. (114) B=48° 51′ 5′′, ▲C=59° 31′ 55′′, and AB=181.6525. (115.) B=93° 24′, AB=936.3958, and BC= 774-3735. (116.) C=62° 33′, AB=1119.005, and BC= 1048.462. (117) C=45° 7′ 6′′, B=74° 52′ 54′′, and AC=599.7277. (118.) B= 53° 59′ 21′′, LA=45° 15′ 39′′, and BC=426.7683. (119) LA-30° 45′ 46′′, B=89° 56′ 14′′, and AC=858.2866. (120.) B= (121.) 20° 10′32′′ C=26° 56′ 55′′, ▲ A= 90° 3′ 5′′, the side AB=213.624, and BC=471.376, whose sum is 685. (122.) AB being the greatest side, ▲ C=54° 50′ 19′′, LA= 48° 39′ 41′′, AB=490.1658, and BC= 450.1658. (123.) 20° 33', or 1233 miles. (125.) 43° 9', or 2589 miles. (127.) 18° 41′, or 1121 miles. (129.) 19° 31′, or 1171 miles. 10. . (124.) 7° 39', or 459 miles. |