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
1 1/4 = 1 3/12 and 2/3 = 8/12
1 3/12 + 8/12= 1 11/12
Answer:
64 inches
Step-by-step explanation:
The given function is f(z)=3z-8 for the values f(-4), f(2) and f(z-7) respectively -20, -2 and 3z-29 respectively.
The given function is f(z)=3z-8.
We need to find the value of f(-4), f(2), f(z-7).
<h3>What is a function?</h3>
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Now to find f(-4), replace z from -4.
f(-4)=3(-4)-8=-12-8=-20
Now to find f(2), replace z from 2.
f(2)=3(2)-8=6-8=-2
Now to find f(z-7), replace z from z-7.
f(z-7)=3(z-7)-8=3z-21-8=3z-29.
Therefore, the given function is f(z)=3z-8 for the values f(-4), f(2) and f(z-7) respectively -20, -2 and 3z-29 respectively.
To learn more about functions visit:
brainly.com/question/21145944.
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