Answer:
5.8 + 18.1 = 23.9
Step-by-step explanation:
23.9 - 18.1 = 5.8
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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
Answer:
The graph of a quadratic function is a U-shaped curve called a parabola.
Step-by-step explanation:
If it takes the cold water faucet x minutes to fill 1 tub, then its flow rate is (1 tub)/(x min).
The hot water faucet takes 4 times as long, so its flow rate is (1 tub)/(4x min).
Together, the total flow rate is (1 tub)/(3 min), so we have




X equals negative three (-3) and negative nine (-9) (x=-3,-9)