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:
Graph D.
Step-by-step explanation:
The line goes through the origin, and therefore shows direct variation.
Since congruence and similarity for polygons is posted in a specific order, we know that angle A=angle F, side A=side F, die B=side G, and so on. Therefore, we have that angle C=angle H = 9x-7=5x+13. Subtracting 5x from both sides to separate the x using the subtraction property of equality, we get 4x-7=13. Next, we can add 7 to both sides to get 4x=20, and divide both sides by 4 to isolate the x and get x=5. Plugging that into angle C or angle H, we get that 9x-7=9*5-7=45-7=38=5*5+13.
Feel free to ask further questions!
Hi,
1) D
Working :
If the bell rings for 2 weeks straight that means it rings for 14 days.
The bell rings 48 times a day (2 * 24).
The answer is then: 48*14 = 672
2) C
Working:
144 cookies * 8 batches = 864 cookies
864 divided into boxes of 8 = 864 / 8 = 108
Answer:
i believe its a
Step-by-step explanation:
