9514 1404 393
Answer:
• 6/5, 6 to 5, and 6:5
Step-by-step explanation:
Consider the answer choices:
A -- only 2 ways are listed; not a choice when 3 ways are required
B -- the appropriate choice
C, D -- ratios of 5 to 6, not 6 to 5.
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:
x=1
Step-by-step explanation:
6/12 = x/2
Simplify the left side by dividing the top and bottom by 6
1/2 = x/2
Using cross products
2x =2
Divide by 2
2x/2 =2/2
x=1
Step-by-step explanation:
sorry I wanted to help you but my calculator is take out decimals sorry I don't know what to do
Answer:
x=5 is what i got from a calculaotr
Step-by-step explanation:
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