Using the slope concept, it is found that the angle of the swimmer's resultant vector is of 71.83º.
<h3>What is a slope?</h3>
- The slope is given by the <u>vertical change divided by the horizontal change.</u>
- It's also the tangent of the <u>angle of depression.</u>
In this problem:
- The person swims 6.4 meters per second north, hence the vertical change is of 6.4.
- The person is being pushed by a current moving west at 2.1 meters per second, hence the horizontal change is 2.1.
Then, considering that the slope is the tangent of the angle of depression
, which is also the angle of the swimmer's resultant vector, we have that:


Using a trigonometric calculator:


The angle of the swimmer's resultant vector is of 71.83º.
You can learn more about the slope concept at brainly.com/question/26125945
The Answer Is A! The person is giving a response back
Answer:
0 < x < 12
Step-by-step explanation:
According to the triangle inequality theorem, the sum of the two sides must be greater than the length of the third side. 6+6 = 12
0 < x < 12
Answer:
z=1
Step-by-step explanation:
3z+(-4)=-1
Add 4 to each side
3z+(-4) +4=-1+4
3z = 3
Divide each side by 3
3z/3 = 3/3
z=1
1. We need to get rid of all the denominator in this equation.
- This can be done by multiplying left and right sides by the LCD.
- In the problem: 12/x = 8, the LCD is X.
12/x = 8 is now 12 = x * 8
1a. 8 * x = 8x
Now, your answer is 3/2, but It's improper. Let's convert it into a mixed number.
Subtract 3 by 2.
3 - 2 = 1
3/2 = 1 1/2
Therefore, your answer is 1 1/2. Also, the answer is 1.5.