Answer:
< 2.11, 4.53 >, < -3.03, -1.75 >, <2.93 cos 108.26, 2.93 sin 108.26 >
Step-by-step explanation:
First, let's decompose Bruce's velocity along the x- and y- direction. Bruce is moving 5 m/s at 25 degrees east of north, so its angle with respect to the positive x-direction is actually 90 - 25 = 65 degrees. So its components are
So, Bruce's vector is
< 2.11, 4.53 >
The current is moving 3.5 m/s at an angle 60 degrees west of south, which means an overall angle of 210 degrees, measured counterclockwise from the positive x-axis. So, the components of the current's velocity are
So, the current's vector is
< -3.03, -1.75 >
Finally, we can add the components of the two vectors to find Bruce's actual velocity:
So, Bruce's actual velocity is
< -0.92, 2.78 >
The magnitude is
And the direction is
Answer:
<h2>x = -2 or x = -3</h2>
Step-by-step explanation:
3 is always on the numerator. It is not effected by a power. The answer has to be something that leaves the numerator alone. That means that B is not correct.
The answer is going to be something that makes the denominator 1 when n = 1. That's going to be the answer to the question, because the first term in the sequence is just 3. The denominator must be 1. (not zero).
D is not the answer, because 3/5^1 = 3/5, so D is wrong.
A is not going to get us anywhere either. 3/5^(1 + 1) = 3/5^2 = 3/25 which is not the first term.
The only choice we have left is C. It must be the answer. 3/5^(1 - 1) = 3/5^0 = 3/1 = 3. There's your answer. Note anything raised to the zero power = 1.
It means that the variables cancelled out and you might have made an error in your working, or it could also mean that that solution was not going to work out (hence leading 0=0). It all depends on the question.
Hope I helped :)
Only a mentally changed person will ask an incomplete question.
