Answer:
AD = 12
Step-by-step explanation:
Find the diagram attached
From the given diagram, it can be inferred that;
AB = AD+DB and AD = DB
AB = AD + AD
AB = 2AD
AD = AB/2
Given that AB = 24
AD = 24/2
AD = 12
Hence the length of AD is 12
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
14 go’s to 28 so there u go have a good time good luck
3.75, 3.9, 4.256, 4.258, 4.5
So how do you find out? It is really easy.
First you look the the number, we all know 3 is less then 4 so the 3s go first
Then you look the tenths, the choices are 3.75 and 3.9. The tenth 9 and 7, and we all know 7 is less then 9, so 3.75 is the first one, then 3.9.
Now let's look at the 4s. The choices are 4.5, 4.258, and 4.256. The tenths are 5, 2, and 2. 2 is less then 5 so they go before 4.5.
Then we look at the hundredth, the choices are 4.256 and 4.258. Since they have same hundreds, we look at the thousands. They are 6 and 8. 6 is less then 8 so 4.256 go before 4.258.