X is twenty
2x+6x+20=180
8x=160
X=20
Answer:
Option B is true
Step-by-step explanation:
The formula for Cos is Adjacent/hypotenuse. 12 is Adjacent to angle e, and 17 is the hypotenuse.
<h2>
Hello!</h2>
The answer is: There are a total of 16 skits in the video.
<h2>Why?</h2>
From the statement, we know that the total length of the video is 101 minutes and it contains a 5-minute introduction, the rest of the minutes are short skits (which are 6 minutes long each one).
So, we need to write the following equations:
First equation:

Second equation:

Where,

So, replacing and substituting the second equation into the first equation we have:

So, there are a total of 16 skits in the video.
Let's prove it substituting "n" into the first equation:

Have a nice day!
Answer:

Step-by-step explanation:
Using the addition formulae for cosine
cos(x ± y) = cosxcosy ∓ sinxsiny
---------------------------------------------------------------
cos(120 + x) = cos120cosx - sin120sinx
= - cos60cosx - sin60sinx
= -
cosx -
sinx
squaring to obtain cos² (120 + x)
=
cos²x +
sinxcosx +
sin²x
--------------------------------------------------------------------
cos(120 - x) = cos120cosx + sin120sinx
= -cos60cosx + sin60sinx
= -
cosx +
sinx
squaring to obtain cos²(120 - x)
=
cos²x -
sinxcosx +
sin²x
--------------------------------------------------------------------------
Putting it all together
cos²x +
cos²x +
sinxcosx +
sin²x +
cos²x -
sinxcosx +
sin²x
= cos²x +
cos²x +
sin²x
=
cos²x +
sin²x
=
(cos²x + sin²x) = 
Answer:
i√17 ≈ 4.123106i
Step-by-step explanation:
The square root of a negative number is "i" times the square root of its absolute value. It is an imaginary number.
_____
i is generally the symbol used for √(-1). In some fields, such as electrical engineering, where i has a different meaning, the symbol j may be used instead.