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Fraction word problems, Alan had 6 books. He read 1/3 of books last week. ...

Alan had 6 books. He read 1/3 of books last week. How many books did Alan read last week?

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If ABCD isaa square of side 6 cm find area of shaded region

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I need help with this question: Find the probability that two quarters and a nickel are chosen without replacement from a bag of 8 quarters and 12 nickles.

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Mean roots, Find all the eighth roots of (19 + 7 i)

Find all the eighth roots of (19 + 7 i)

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Sin[cot-1{cos(tan-1x)}], sin (cot -1 {cos (tan -1 x)}) tan -1 x = A  ...

sin (cot -1 {cos (tan -1 x)}) tan -1 x = A  => tan A =x sec A = √(1+x 2 ) ==>  cos A = 1/√(1+x 2 )    so   A =  cos -1 (1/√(1+x 2 )) sin (cot -1 {cos (tan -1 x)}) = s

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