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vodka [1.7K]
3 years ago
7

How many faces does the figure shown have?

Mathematics
1 answer:
Reptile [31]3 years ago
7 0

Answer: 4

Step-by-step explanation:

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Round 3160.9903 to the nearest tenths place
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The tenths place is right after the decimal point. So, 3160.9903 can be 3160.9.
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Show tan(???? − ????) = tan(????)−tan(????) / 1+tan(????) tan(????)<br> .
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Answer:

See the proof below

Step-by-step explanation:

For this case we need to proof the following identity:

tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}

We need to begin with the definition of tangent:

tan (x) =\frac{sin(x)}{cos(x)}

So we can replace into our formula and we got:

tan(x-y) = \frac{sin(x-y)}{cos(x-y)}   (1)

We have the following identities useful for this case:

sin(a-b) = sin(a) cos(b) - sin(b) cos(a)

cos(a-b) = cos(a) cos(b) + sin (a) sin(b)

If we apply the identities into our equation (1) we got:

tan(x-y) = \frac{sin(x) cos(y) - sin(y) cos(x)}{sin(x) sin(y) + cos(x) cos(y)}   (2)

Now we can divide the numerator and denominato from expression (2) by \frac{1}{cos(x) cos(y)} and we got this:

tan(x-y) = \frac{\frac{sin(x) cos(y)}{cos(x) cos(y)} - \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{sin(x) sin(y)}{cos(x) cos(y)} +\frac{cos(x) cos(y)}{cos(x) cos(y)}}

And simplifying we got:

tan(x-y) = \frac{tan(x) -tan(y)}{1+ tan(x) tan(y)}

And this identity is satisfied for all:

(x-y) \neq \frac{\pi}{2} +n\pi

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Answer:

3x-4 = x+10

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Follow through with the words and then simplify.

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Josh has 36 postcards from national parks he visited. He wants to put them in a
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He needs 9 pages

Step-by-step explanation:

8 will be full and 1 will have 2 extra

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Find f ( - 3 ) for the function below.<br><br> { ( - 3, 2 ), ( - 1, 0 ), ( 1, 1 ), ( 3, - 3 ) }
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Answer:

Step-by-step explanation:

Question

Comment

The f(x) notation means that were ever you see n x on the right you put the value of x.  

The question is which point has x = - 3 and what is the associated y value?

You could do it this way, just so you understand it.

<h2>X                        Y</h2>

=========================

-3                                      2       <======

-1                                       0

1                                         1

3                                        -3

The answer must be the first one

6 0
2 years ago
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