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2 years ago

Round 75.4614 to the nearest thousandth

Mathematics

1 answer:

Anna11 [10]2 years ago

6 0

$75.4614\approx75.461$

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2 years ago

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Please answer 25 points!

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Given that the sec A = 13/5 and A is in QIV, determine exact value for the sin A.

AysviL [449]

Answer:

The exact value of sin A is opp/hyp = -12/13

Step-by-step explanation:

If A is in Quadrant IV then the "opposite side" is negative and the "adjacent side" is positive. Since sec A = hyp / adj = 13 / 5 and since opp^2 + adj^2 must add up to hyp^2, Therefore y = √(hyp^2 - adj^2), or

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2 years ago

Mariana walked 3/10 mile to the park. Later, she walked 1/4 mile to a friend's house. Then she walked 2/5 mile home. How many mi

Paladinen [302]

Answer:

19/20 of a mile.

Step-by-step explanation:

$\frac{3}{10} + \frac{1}{4} + \frac{2}{5}$

The common denominator is 20 so we times the first one by 2 the second one by 5 and the last one by 4. (Both numerator and denominator.)

You will end up with this $\frac{6}{20} + \frac{5}{20} + \frac{8}{20} = \frac{19}{20}$

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2 years ago

Franco read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate, how many chapters of his history book can he r

Irina18 [472]

He can read $1\frac{7}{8}$ chapters of his history book in 1 hour.

Explanation

Franco read 3/8 of a chapter of his history book in 1/5 of an hour.

Suppose, he can read $x$ chapters of his book in 1 hour at this rate.

So, the equation according to the ratio of 'the chapter to the time' will be....

$\frac{x}{1}= \frac{\frac{3}{8}}{\frac{1}{5}}\\ \\ \frac{x}{1}=\frac{3}{8}*\frac{5}{1}\\ \\ \frac{x}{1}=\frac{15}{8} \\ \\ x= \frac{15}{8}= 1\frac{7}{8}$

So, he can read $1\frac{7}{8}$ chapters of his history book in 1 hour.

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3 years ago