First Course in Algebra, Βιβλίο 1 |
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Σελίδα
X . FRACTIONAL EQUATIONS . XI . RATIO AND PROPORTION . . . . . . . XII .
GRAPHICAL REPRESENTATION . . . . . . 198 XIII . SIMULTANEOUS EQUATIONS
SOLVED BY ELIMINATION 215 XIV . SQUARE Root . . . . . . . . 237 XV .
RADICALS .
X . FRACTIONAL EQUATIONS . XI . RATIO AND PROPORTION . . . . . . . XII .
GRAPHICAL REPRESENTATION . . . . . . 198 XIII . SIMULTANEOUS EQUATIONS
SOLVED BY ELIMINATION 215 XIV . SQUARE Root . . . . . . . . 237 XV .
RADICALS .
Σελίδα 179
How deep in the ocean can a diver go without danger in a diving armor that can
safely sustain a pressure of no more than 140 pounds per square inch ?
CHAPTER XI RATIO AND PROPORTION 108 . Ratio . The X , § 107 ] 179
FRACTIONAL ...
How deep in the ocean can a diver go without danger in a diving armor that can
safely sustain a pressure of no more than 140 pounds per square inch ?
CHAPTER XI RATIO AND PROPORTION 108 . Ratio . The X , § 107 ] 179
FRACTIONAL ...
Σελίδα 180
CHAPTER XI RATIO AND PROPORTION 108 . Ratio . The quotient of one
number divided by another of the same kind is called their ratio . Thus , the ratio
of 12 inches to 6 inches is the fraction * , or 4 . The ratio of 2 feet to 3 feet is the
fractions ...
CHAPTER XI RATIO AND PROPORTION 108 . Ratio . The quotient of one
number divided by another of the same kind is called their ratio . Thus , the ratio
of 12 inches to 6 inches is the fraction * , or 4 . The ratio of 2 feet to 3 feet is the
fractions ...
Σελίδα 181
... will just fit inside it . ( Hint . Letr be the radius of the sphere and use Ex . 28 , p .
23 . ) Fig . 43 . The sphere of Fig . 43 is said to be inscribed in the cube . 13 . It is
shown in geometry that the volume XI , § 108 ] 181 RATIO AND PROPORTION.
... will just fit inside it . ( Hint . Letr be the radius of the sphere and use Ex . 28 , p .
23 . ) Fig . 43 . The sphere of Fig . 43 is said to be inscribed in the cube . 13 . It is
shown in geometry that the volume XI , § 108 ] 181 RATIO AND PROPORTION.
Σελίδα 183
Proportion . A proportion is an expression of equality between two ratios , or
fractions . For example , since is the same as , we have the proportion s = 4 .
Likewise , we may write { = } , and } = { } , and hence these are all true proportions
.
Proportion . A proportion is an expression of equality between two ratios , or
fractions . For example , since is the same as , we have the proportion s = 4 .
Likewise , we may write { = } , and } = { } , and hence these are all true proportions
.
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added algebra answer Appendix arithmetic ball base becomes called cents CHAPTER Check circle common factor complete considered contains cube denominator diameter difference distance divided divisible divisor Draw equal equation EXAMPLE EXERCISES Explain factors feet figure Find following equations following expressions Formula four fraction further exercises given gives graph Hence Hint illustrated inches indicated length letter lowest means multiply negative Note obtained ORAL EXERCISES polynomial positive pounds problems proportion quadratic quotient radical radius ratio reduces remainder represents result rule seen Show sides similar Similarly Simplify simply SOLUTION Solve square root subtract SUPPLEMENTARY EXERCISES Suppose topic triangle twice unit volume weight wheel write WRITTEN EXERCISES yards
Δημοφιλή αποσπάσματα
Σελίδα 241 - Then divide the first term of the remainder by the first term of the divisor...
Σελίδα 101 - Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Σελίδα 238 - Find the greatest square in the left-hand period and write its root for the first figure of the required root. Square this root, subtract the result from the left-hand period, and to the remainder annex the next period for a dividend.
Σελίδα 138 - Separate each number into its prime factors. Find the product of these factors, taking each factor the greatest number of times it occurs in any one of the given numbers.
Σελίδα 140 - Both terms of a fraction may be divided by the same number without changing the value of the fraction.
Σελίδα 238 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Σελίδα 102 - That is, the square of the difference of two numbers is equal to the square of the first number, minus twice the product of the two numbers, plus the square of the second number.
Σελίδα 73 - Any term may be transposed from one side of an equation to the other provided its sign be changed.
Σελίδα 143 - A fraction is reduced to its lowest terms when its numerator and denominator have no common factor except 1.
Σελίδα 227 - If 1 is added to the numerator of a certain fraction, the value of the fraction becomes f ; if 2 is added to the denominator, the value of the fraction becomes £. What is the fraction ? SUGGESTION.