ATTACHED is the written out response.
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Answer:

Step-by-step explanation:
we have

where
t is the time in seconds
h is the dolphin's height in feet
we know that
When the dolphin return to the water the value of h(t) is equal to zero
so
For h(t)=0


Simplify



see the attached figure to better understand the problem
You posted a formula with no equation, there’s no way to answer your question
Step-by-step explanation:



Answer:
Option (3)
Step-by-step explanation:
w = ![\frac{\sqrt{2}}{2}[\text{cos}(225) + i\text{sin}(225)]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%5B%5Ctext%7Bcos%7D%28225%29%20%2B%20i%5Ctext%7Bsin%7D%28225%29%5D)
Since, cos(225) = cos(180 + 45)
= -cos(45) [Since, cos(180 + θ) = -cosθ]
= -
sin(225) = sin(180 + 45)
= -sin(45)
= -
Therefore, w = ![\frac{\sqrt{2}}{2}[-\frac{\sqrt{2}}{2}+i(-\frac{\sqrt{2}}{2})]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%5B-%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%2Bi%28-%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%29%5D)
= 
= 
z = 1[cos(60) + i(sin(60)]
= 
= 
Now (w + z) = 
= 
= 
= 
Therefore, Option (3) will be the correct option.