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1 year ago

Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.

Mathematics

1 answer:

Blizzard [7]1 year ago

4 0

Answer:

12/13

Step-by-step explanation:

We know that cosine is the adjacent side divided by the hypotenuse in a right triangle.

The adjacent side to angle C is BC

The hypotenuse is AC because it is opposite to the right angle

So...

cosine is (BC)/(AC)

36/39

12/13

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An express train travels 80km/h from Ironton to Wildwood. A local train, traveling at 48km/h, takes 2 hours longer for the same

masha68 [24]

Answer:

They are 240 kilometers apart.

Step-by-step explanation:

This question can be solved using the following relation:

$v = \frac{d}{t}$

In which v is the velocity, d is the distance and t is the time.

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$v = \frac{d}{t}$

$80 = \frac{d}{x}$

$d = 80x$

A local train, traveling at 48km/h, takes 2 hours longer for the same trip.

This means that when $v = 48, t = x + 2[tex]. So[tex]v = \frac{d}{t}$

$48 = \frac{d}{x+2}$

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$48 = \frac{80x}{x+2}$

Applying cross multiplication

$80x = 48(x + 2)$

$80x = 48x + 96$

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$x = \frac{96}{32}$

$x = 3$

So the distance is:

$d = 80x = 80*3 = 240$

They are 240 kilometers apart.

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