Answer:
Jim is 12.87 meters away from the shark.
Step-by-step explanation:
We are given that,
Distance between Jim and Tara = 20 meters.
The angle of depression of the shark from Jim and Tara is 47° and 40° respectively as shown in the figure below.
So, the third angle of the triangle formed is given by,
47° + 40° + ∠S = 180°
i.e. ∠S = 180° - 87°
i.e. ∠S =93°
So, now using the sine ratio formula, we have,
i.e. 
i.e. 
i.e. x = 12.87 meters
Thus, Jim is 12.87 meters away from the shark.
F(x) = - 55x + 330
The domain is the set of possible input-values, i.e. x-values.
You know that f(x) cannot bebigger than 330 not lower than zero, then construct the inequality:
0 ≤ f(x) ≤ 330
0 ≤ - 55x + 330 ≤ 330
Multilply by - 1 and change the inequality signs:
0 ≥ 55x - 330 ≥ -330
Add 330 to all the members
330 ≥ 55x ≥ 0
Divide by 55
6 ≥ x ≥ 0 => 0 ≤ x ≤ 6
The the possible x-values (practical domain) is all the real numbers between 0 and 6 inclusive.
What you want to do, is isolate the y by itself to rewrite the equation as y=mx+b. So when you move the 5x over the equation looks like this -6y=-5x+30. Then you divide the -5x+30 by -6 to isolate the y. Thus making the equation y=5/6x-5. And since there is only one answer with the y-intercept as (0,-5); The answer is A.
You subtract the 11 from both sides, then you get -3x = 33. Next, you divide -3 from both sides, and you get x= -11
