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What is Inductive Reasoning ?
Sometimes we draw conclusions based on our observations. If we observe the same results again and again, we conclude that the event always has the same outcome. We call this kind of reasoning inductive reasoning. We call a conclusion arrived at through inductive reasoning as a generalization.
Example 1 : Suppose there are 3 differently shaped triangles. If we cut off the corners of each of the triangles and patch them together, we will find that the sum of the angles of each triangle is 180°. If we do this to a large number of triangles, then we find that the sum is always 180°. We can generalize this to say that the sum of the angles of a triangle is 180°.
Example 2 : Here we have two right triangles and find and and We can generalize this to say: The side opposite the right angle of a triangle is the longest side. Sometimes generalizations can be false. We look for counterexamples to show a generalization is false.
Example 3 : Generalization: If a quadrilateral has four congruent sides, it has four congruent angles. Counterexample: We can draw a quadrilateral with four congruent sides but with unequal angles to show this is a false generalization.
what is 90005+890+098876-89
Carry out the indicated operation and dropped down the answer to lowest terms. (x 2 - 5x -14/ x 2 -3x+2) . (x 2 - 4)/x 2 -14x+49) Solution This is a multiplication.
Q. Definition of Logarithms? Ans. A logarithm to the base a of a number x is the power to which a is raised to get x. In equation format: If x = a y , then log a x
simplify the expression 3/5/64
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A comparison of the wearing out quality of two types of tyres was obtained by road testing. Samples of 100 tyres were collected. The miles traveled until wear out were recorded and
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Solve for x: 4 log x = log (15 x 2 + 16) Solution: x 4 - 15 x 2 - 16 = 0 (x 2 + 1)(x 2 - 16) = 0 x = ± 4 But log x is
Decimal representations of some basic angles: As a last quick topic let's note that it will, on occasion, be useful to remember the decimal representations of some basic angles. S
the radii of circular base of right circular cylinder and cone are in the ratio of 3:4 and their height are in the ratio of the 2:3 what is the ratio of their volume?
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