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
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Answer:
- 7 pounds of fish
- 18.5 pounds of lobster
Step-by-step explanation:
Let x represent the number of pounds of lobster sold. Then 25.5-x is the number of pounds of fish. The total money made is ...
4.25(25.5-x) +9.00x = 196.25
4.75x + 108.375 = 196.25 . . . . . simplify
4.75x = 87.875 . . . . . . . . . . . subtract 108.375
x = 18.5 . . . . . . . . . . . . . . . divide by 4.75
The market sold 7 pounds of fish and 18.5 pounds of lobster.
Answer: (D) ∠2 is supplementary to ∠8
<u>Step-by-step explanation:</u>
∠2 is congruent to:
- ∠3 <em>vertical angles</em>
- ∠6 <em>corresponding angles</em>
- ∠7 <em>alternate exterior angles</em>
Therefore, it is supplementary to the remaining angles:
The only multiple choice option that satisfies the above statements is the last one
