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Neporo4naja [7]

3 years ago

12

Marcus has 731 books. He puts about the same number of books on each of 9 shelves in his bookcase about how many books are on ea

ch shelf?

1 answer:

GuDViN [60]3 years ago

7 0

Answer:

Approximately 81 books

Step-by-step explanation:

731 / 9

Divide 731 by 9 to get 81.22...

731 / 9 = 81.22...

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Answer:

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Step-by-step explanation:

Given

The attached triangle

Required

Find cos V

In trigonometry:

$cos\theta = \frac{Adjacent}{Hypotenuse}$

In this case:

$cos V= \frac{TV}{UV}$

Where

$TV = 6$

and

$UV^2 = TV^2 + TU^2$ -- Pythagoras

$UV^2 = 6^2 + 15^2$

$UV^2 = 261$

Take square roots

$UV = \sqrt{261$

$UV = \sqrt{9*29$

$UV = \sqrt{9} *\sqrt{29$

$UV = 3\sqrt{29$

So:

$cos V= \frac{TV}{UV}$

$cos\ V = \frac{6}{3\sqrt{29}}$

$cos\ V = \frac{2}{\sqrt{29}}$

Rationalize:

$cos\ V = \frac{2}{\sqrt{29}}*\frac{\sqrt{29}}{\sqrt{29}}$

$cos\ V = \frac{2\sqrt{29}}{29}$

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Answer:

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Step-by-step explanation:

x+y=-14

x-y=6

----------

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x=-4

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y=-14-(-4)=-14+4=-10

x=-4, y=-10.

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