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kozerog [31]
3 years ago
9

PLZZZ HELLP I'LL GIVE YOU POINTS AND MARK YOU AS BRAINLIEST

Mathematics
1 answer:
yanalaym [24]3 years ago
3 0
You plug 11 in where x is.
r(11) = (11 + 1)(11 - 3)
= (12)(8)
= 96
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Prove the following identity :<br>Sin α . Cos α .<br> Tan α =  (1 – Cos<br> α)  (1 + Cos<br> α)
Umnica [9.8K]
Let's work on the left side first. And remember that
the<u> tangent</u> is the same as <u>sin/cos</u>.

sin(a) cos(a) tan(a)

Substitute for the tangent:

[ sin(a) cos(a) ] [ sin(a)/cos(a) ]

Cancel the cos(a) from the top and bottom, and you're left with

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Now, work on the right side:

[ 1 - cos(a) ] [ 1 + cos(a) ]

Multiply that all out, using FOIL:

[ 1 + cos(a) - cos(a) - cos²(a) ]

= [ <u>1 - cos²(a)</u> ] That's the <u>right side</u>.

Do you remember that for any angle, sin²(b) + cos²(b) = 1  ?
Subtract cos²(b) from each side, and you have sin²(b) = 1 - cos²(b) for any angle.

So, on the <u>right side</u>, you could write [ <u>sin²(a)</u> ] .

Now look back about 9 lines, and compare that to the result we got for the <u>left side</u> .

They look quite similar. In fact, they're identical. And so the identity is proven.

Whew !





4 0
3 years ago
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Andru [333]

Answer:

<h3>x=9 answer...</h3>

Step-by-step explanation:

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  • 162=18x
  • x=162/18
  • x=9

<h2>hope it helps.</h2><h2>stay safe healthy and happy..</h2>
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tankabanditka [31]
Since there are 4 options and only 1 banana, there is a 1/4 chance he will pick a banana. I'm not sure what you mean by the last few questions? I think the sample space is an apple, pear, banana, or an orange. And the event is banana?
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