Answer:
A. (4,2)
Step-by-step explanation:
In coordinates, the x-value appears first then the y-value. This means coordinates are set up like, (x,y). So, to solve find the coordinates whose values match one pair of values on the table. Option A has x=4 and y=2. In the last row of the table, you can see the same values with x=4 and y=2. Therefore, A is correct.
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.
The stock price per share was $8.60
Number of shares bought 1000
Total price for the shares:
(Cost per share)*(Number of shares)
=8.60*1000
=$8600
The stock price after 1 year $9.15
Total number of shares is 1000
Current price=(current share price)*(number of shares)
9.15*1000
=$9150
current value=(Current price)-(buying price)
=9150-8600
=$550
Net Profit=(Current value)-(Expenses)
=550-14
=$536
The angular velocity for this problem is given by:
Angular speed = 200 rev / min
The first thing you should keep in mind is the following conversion:
1 rev = 2π radians
Applying the conversion we have:
Angular speed = 200 * (2π)
Rewriting:
Angular speed = 200 * (2 * 3.14)
Angular speed = 1256 radians / minutes
Answer:
the angular speed is:
Angular speed = 1256 radians / minutes
Answer:
Here is the answer...hope it helps