\fdO'^ - Old Forge Coal Mines

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86 ARITHMETIC. {b) f 6 = VTa 2 4/G.O O'O O'O O'O O'O = 2.4494897428 + 2 4 40 200 4 176 44 2400 4 1936 480 46400 4 44001 484 239900 4 195936 4880 4396400 9 3919104 48 8 9 489896)47 7 29 6.00000 (.974280 or .97428 + 9 4409064 4 8980 3638960 4 3429272 48984 2096880 4 1959584 489880 1372960 8 979792 489888 3931680 8 3919168 489896 12512 It is required in this problem to find the sixth root of 6 ; hence it is necessary to extract both the square and cube roots in succession, since the index, 6, equals 2x3 or 3x2. It makes no particular difference as to which root we extract first, but it will be more convenient to extract the square root first. The result has been carried to 10 decimal places; since the answer requires but 5 decimal places, the remaining decimals will not affect the cube root in the fifth decimal place, as the student can see for himself if he will continue the operation.
ARITHMETIC. 87 1 1 -^^2.4 4 9'4 8 9'7 42'8 00= 1.34801 12 - 1 Ans. 2 300 1449 1 9 9 119 7 30 399 252489 3 108 209104 33 50700 43385742 3 1576 43352192 5451312 ) 3 3 5 5 0.000 ( .006 or .01 — 3 6 522 76 • 3 1592 32707872 390 5386800 842128 4 32224 394 5419024 4 32288 398 5451312 4 4020 8 4028 8 4036 (141) (a) 1 1 20 7 27 7 340 7 347 7 i/3.14'16 = 354 204 1 2 14 1 89
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( W v. 5 Copyright, 1897, by The Co
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Arithmetic, - CONTENTS Algebra, Log
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i ARITHMETIC. of tens. 1 + 8 + 7 +
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4 ARITHMETIC. and the difference (4
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ARITHMETIC. (c) 217 Multiply any tw
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8 ARITHMETIC. 72 in the dividend an
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10 ARITHMETIC. (70 X 50 X 24 X 20).
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12 ARITHMETIC, The 5 in the dividen
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14 ARITHMETIC. (22) (a) 576) 589824
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16 ARITHMETIC. (33) To reduce a fra
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18 ARITHMETIC. 3 3 (e) 15-r-7-43-=
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20 ARITHMETIC. (41) ,9| + 50i + 41+
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22 ARITHMETIC. (45) The man evident
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24 ARITHMETIC. • u s o e 3 2 o 93
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26 ARITHMETIC. {b) Here again the p
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28 ARITHMETIC. 64) 1.000000(. 01562
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30 ARITHMETIC. (66) In subtraction
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38 ARITHMETIC. (6) .875 — 5-=? Re
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84 ARITHMETIC. {c) First perform th
Page 48 and 49: 36 ARITHMETIC. Reducing 387 387 to
Page 50 and 51: 38 ARITHMETIC. nominator of the fra
Page 52 and 53: 40 ARITHMETIC. (d) Base = percentag
Page 54 and 55: 42 ARITHMETIC. Another method of so
Page 56 and 57: 44 ARITHMETIC. (89) Here we have gi
Page 58 and 59: 46 ARITHMETIC. 24 ) 13750 gr. 20 )
Page 60 and 61: 48 ARITHMETIC. (98) Reduce the grai
Page 62 and 63: 50 ARITHMETIC. contained times in 3
Page 64 and 65: gal.
Page 66 and 67: 54 ARITHMETIC. (108) In multiplicat
Page 68 and 69: 56 ARITHMETIC. Since there are 24 g
Page 70 and 71: 58 ARITHMETIC. There are 100 lb. in
Page 72 and 73: 60 ARITHMETIC. 62 is contained in 1
Page 74 and 75: 63 ARITHMETIC. (121) (a) 106' = 106
Page 76 and 77: 64 ARITHMETIC. (^) .4044* = .4044 X
Page 78 and 79: 6G ARITHMETIC. Since there are 2 de
Page 80 and 81: 68 ARITHMETIC. (128) {a) .0133' =.0
Page 82 and 83: 70 ARITHMETIC (130^ (a) 1 1 20 _8 2
Page 84 and 85: 72 ARITHMETIC. in the root. Write i
Page 86 and 87: 74 ARITHMETIC. (^) 9 -/QO.OO'OO'OO
Page 88 and 89: 76 ARITHMETIC. correction. This, mu
Page 90 and 91: 78 ARITHMETIC. found by division sh
Page 92 and 93: 80 ARITHMETIC. (137) {a) 1 1 f .0 6
Page 94 and 95: 82 ARITHMETIC. (138^ {a) In this ex
Page 96 and 97: 84 ARITHMETIC. (^)
Page 100 and 101: 88 8 8 ARITHMETIC.
Page 102 and 103: 90 ARITHMETIC. 40,000 144)40000.0(2
Page 104 and 105: 92 ARITHMETIC. (163) 2 ft. 5 in. =
Page 106 and 107: 94 ARITHMETIC. (164) Taking the tim
Page 108 and 109: 96 ALGEBRA. (171) See Arts. 352 and
Page 110 and 111: 98 ALGEBRA. In this case, where we
Page 112 and 113: 100 ALGEBRA. By Art. 482, the signs
Page 114 and 115: 102 ALGEBRA. (189) Applying the met
Page 116 and 117: 104 ALGEBRA. (196) {a) ^+_;/ + ^-(^
Page 118 and 119: 106 ALGEBRA- (201 ) The subtraction
Page 120 and 121: 108 ALGEBRA. Canceling the factors
Page 122 and 123: 110 ALGEBRA. (208) (a) Writing the
Page 124 and 125: 112 ALGEBRA. 20j^(4^+5)-12.r(3:r-7)
Page 127 and 128: ALGEBRA. (QUESTIONS 218-257.) (218)
Page 129 and 130: ALGEBRA. 117 Clearing of fractions,
Page 131 and 132: ALGEBRA. 119 Transposing, — A:X*
Page 133 and 134: Completing the square, ALGEBRA. 131
Page 135 and 136: Extracting ALGEBRA. 123
Page 137 and 138: (d) Completing the square, Extracti
Page 139 and 140: ALGEBRA. 127 (238) (a) i/| by Art.
Page 141 and 142: (242) ALGEBRA. 139 Let X = the whol
Page 143 and 144: (246) Then,-^ X ALGEBRA. 131 Let X
Page 145 and 146: ALGEBRA. 133 y+5-{x-o) = 6. (1) But
Page 147 and 148: ALGEBRA. 136 (266) Let X — the nu
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LOGARITHMS. (QUESTIONS 258-272.) (2
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l^OGARITHMS. 139 .6602 -3 — 1.980
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LOGARITHMS. 141 {l>) .76'"._ Log .7
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LOGARITHMS. 143 (271) Substituting
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140 GEOMETRY AND TRIGONOMETRY. in t
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148 GEOMETRY AND TRIGONOMETRY. 3 (2
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150 GEOMETRY AND TRIGONOMETRY. (302
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154 GEOMETRY AND TRIGONOMETRY. draw
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158 GEOMETRY AND TRIGONOMETRY. {d)
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1G4 GEOMETRY AND TRIGONOMETRY. (354
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166 ELEMENTARY MECHANICS. per min.
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168 ELEMENTARY MECHANICS. replaced,
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170 ELEMENTARY MECHANICS. (384) (a)
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172 ELEMENTARY MECHANICS. (389) See
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174 ELEMENTARY MECHANICS. (398) 1 h
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176 ELEMENTARY MECHANICS (412) Use
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180 ELEMENTARY MECHANICS. a distanc
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184 ELEMENTARY MECHANICS. (d) Using
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186 ELEMENTARY MECHANICS. (452) (a)
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188 HYDROMECHANICS. (457) (a) Area
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190 HYDROMECHANICS. Pressure due to
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192 HYDROMECHANICS. (47 1 ) (a) 36
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194 HYDROMECHANICS. 5' X 7854 (479)
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196 HYDROMECHANICS. (d) See Art. 10
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198 HYDROMECHANICS. Pressure per sq
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aOO HYDROMECHANICS. For z;„ = 4,/
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202 PNEUMATICS. (509) Substituting
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204 PNEUMATICS. (519) 8.47 = origin
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206 PNEUMATICS. (537) (a) 30 — 17
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208 PNE-aMATlCS. (548) CO' — 50'
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210 STRENGTH OF MATERIALS. P- p-^^.
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212 STRENGTH OF MATERIALS. Since 40
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214 STRENGTH OF MATERIALS. drawn. P
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21G STRENGTH OF MATERIALS. c \d of
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218 STRENGTH OF MATERIALS. n o. I//
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220 STRENGTH OF MATERIALS. Substitu
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222 STRENGTH OF MATERIALS. (589) Su
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224 STRENGTH OF MATERIALS. (597) {a
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226 STRENGTH OF MATERIALS. (d) In t
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228 STRENGTH OF MATERIALS. (604) Us
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230 STRENGTH OP MATERIALS. (609) Th
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232 STRENGTH OF MATERIALS. moments
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234 SURVEYING. adjacent sides of th
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236 SURVEYING. (622) 1st. A B in Fi
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238 SURVEYING. true bearing IS the
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240 SURVEYING. A B, as the bearing
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Un SURVEYING. an angle of 15° 10'
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244 SURVEYING. in dotted lines. In
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246 SURVEYING. table of Radii and D
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248 SURVEYING. ^^^ = 1.875'. The de
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. (690) 250 SURVEYING. sight to the
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252 SURVEYING. and including that a
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254 SURVEYING. horizontal lines 1 f
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(706) LAND SURVEYING (QUESTIONS 706
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LAND SURVEYING. 259 ture of A B is
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LAND SURVEYING. 261 -{-, in the col
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LAND SURVEYING. 263 is +8.86 chains
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a a *• o « .i Q a V Q + • hJ *
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LAND SURVEYING. 2G7
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RAILROAD LOCATION. (756) (QUESTIONS
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RAILROAD LOCATION. 271 second curve
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RAILROAD LOCATION. 273 in which;!'
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RAILROAD LOCATION. 275 Whence, we h
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RAILROAD LOCATION. 277 4.0827 ft.,
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point so determined by RAILROAD LOC
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282 RAILROAD CONSTRUCTION. (818) Th
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884 RAILROAD CONSTRUCTION. (833) Ap
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286 RAILROAD CONSTRUCTION. (859) Fi
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288 RAILROAD CONSTRUCTION. (864) (8
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RAILROAD CONSTRUCTION. (QUESTIONS 8
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RAILROAD CONSTRUCTION. 293 (896) Se
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RAILROAD CONSTRUCTION. 295 (a) The
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RAILROAD CONSTRUCTION. 207 (939) Se
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300 TRACK WORK. (962) (963) (964) (
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302 TRACK WORK. (994) See Art. 1687
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304 TRACK WORK. (1008) 8 ft. G in.
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306 RAILROAD STRUCTURES. (1039) See
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308 RAILROAD STRUCTURES. (1060) Fro
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3," ^ >;> :3 3>32> ^ >:> J> Oi?^ :>
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UNIVERSrTY OF ILLINOIS-URBANA 3 011
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