Answer:
D
Step-by-step explanation:
We are given that:
And we want to find the value of tan(2<em>x</em>).
Note that since <em>x</em> is between π/2 and π, it is in QII.
In QII, cosine and tangent are negative and only sine is positive.
We can rewrite our expression as:
Using double angle identities:
Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:
So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.
From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence:
<h2>
</h2>
Simplify:
Evaluate:
The final answer is positive, so we can eliminate A and B.
We can simplify D to:
So, our answer is D.
Answer:
6 is the answer why need to have 20 characters are u crazy
Step-by-step explanation:
Refer to the photoooooooooooooooooooi
Your answer would be, C 5/45 and 4/36. In simplified form they both equal 1/9, meaning they are a proportion.
Answer:
7sqrt(15) - 5sqrt(6)
------------------------------
45
Step-by-step explanation:
7 -sqrt(10)
-----------------------
3 sqrt(5) *sqrt(3)
7 -sqrt(10)
-----------------------
3 sqrt(15)
Multiply the top and bottom by sqrt(15)/ sqrt(15)
7 -sqrt(10) sqrt(15)
----------------------- * ------------
3 sqrt(15) sqrt(15)
(7 -sqrt(10))* sqrt(15)
-----------------------------------
3 *15
Distribute
7sqrt(15) - sqrt(150)
------------------------------
45
sqrt(ab) =sqrt(a) sqrt(b)
150 = 25*6
7sqrt(15) - sqrt(25)sqrt(6)
------------------------------
45
7sqrt(15) - 5sqrt(6)
------------------------------
45
Answer:93.5
Step-by-step explanation:
1.Add all the numbers up which is 935.
2.divide that amount by how much numbers there are, 10. So do 935 divided by 10 which is 93.5
