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amm1812
2 years ago
11

0.6 is a repeating number

Mathematics
1 answer:
8090 [49]2 years ago
7 0

Answer:3/5

Step-by-step explanation:0.6=6/10

     =3/5

The simplest form of 0.6=3/5

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LekaFEV [45]

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An equation is____=540.<br> The solution is x=____.
maks197457 [2]
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Answer:

-3

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rise/run

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2 years ago
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tresset_1 [31]

Answer: -4/5

Step-by-step explanation:

Ok so cos(x) = -4/5 and we know that:

sin^2(x) + cos^2(x) = 1.

If we plug that in and solve for sin(x) we get:

sin^2(x) = \frac{9}{25} \\sin(x) = \frac{3}{5}

Now we have to consider: <em>is sin(x) positive or negative?</em>

We have that \pi  < x < \frac{3\pi }{2}.

From the unit circle, we know that sin(x) is negative in this range. Therefore sin(x) actually equals -3/5.

But the question asks: <em>what is sin(x + \frac{\pi }{2})?</em>

Here's where another important equation comes in:

sin(\alpha  + \beta ) = sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta)

In this case, we have alpha = x and beta = pi/2.

So, that looks like:

sin(x + pi/2 )= sin(x)cos(pi/2) + cos(x)sin(pi/2)

We already have what sin(x) and cos(x) are. We also know that sin( pi/2) = 1 and cos(pi/2) = 0.

sin(x  + pi/2 ) = (-3/5)(0) + (-4/5)(1).

Therefore we simply have

sin(x + pi/2) = -4/5

7 0
3 years ago
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