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3 years ago

If the first chapter of a certain book is 40 pages long and makes up 20% of the book, how many pages does the entire book have?

Mathematics

1 answer:

Setler [38]3 years ago

5 0

Answer:

200

Step-by-step explanation:

20% of a book = 40 pages

100% of a book = x pages

20/100 = 40/x Cross multiply

20x = 100*40 Combine the right

20x = 4000 Divide by 20

20x/20 = 4000/20 Do the division

x = 200 Answer

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Step-by-step explanation:

$\tan x = \frac{6}{8} = \frac{opposite \: side \: to \: \angle \: x}{adjacent \: side \: to \: \angle \: x} \\ \\ hypotenuse \\ = \sqrt{ {(opp. \: side)}^{2} + {(adj. \: side)}^{2} } \\ = \sqrt{ {6}^{2} + {8}^{2} } \\ = \sqrt{36 + 64} \\ = \sqrt{100} \\ = 10 \\ \\ \because \sin (x) = \frac{opposite \: side \: to \: \angle \: x}{hypotenuse} \\ \\ \huge{ \red{ \boxed{\therefore \: \sin (x) = \frac{6}{10}}}} \\ \\ \cos (x) = \frac{adjacent \: side \: to \: \angle \: x}{hypotenuse} \\ \\ \huge{ \purple{ \boxed{\therefore \: \cos (x) = \frac{8}{10} }}} \\$

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