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It takes light 5.3 × 10-6 seconds to travel one mile. What is this time in standard notation?
In order to convert this number to standard notation, multiply 5.3 through the factor of 10-6. Since 10-6 is equal to 0.000001, 5.3 × 0.000001 is equal to 0.0000053. Equivalently, move the decimal point in 5.3 six places to the left because the exponent on the 10 is negative 6.
any example
ABC is a right triangle right-angled at C and AC=√3 BC. Prove that ∠ABC=60 o . Ans: Tan B = AC/BC Tan B = √3 BC/BC Tan B =√3 ⇒ Tan B = Tan 60 ⇒ B = 60
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A 25 foot ladder just reaches the top of a house and forms an angle of 41.5 degrees with the wall of the house. How tall is the house?
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We know that the terms in G.P. are: a, ar, ar 2 , ar 3 , ar 4 , ................, ar n-1 Let s be the sum of these terms, then s = a + ar + ar 2
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