Answer: 
Step-by-step explanation:
Given
The tower is at a height of 
the angle of depression is 
Suppose the surfer is x ft away from the base of the tower

Therefore, the surfer is at a distance of 19.31 ft from the base of the tower.
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Part 5) 
Part 6) 
Step-by-step explanation:
Part 1) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle
The area of rectangle is equal to

where
b is the base of rectangle
h is the height of rectangle
so



Part 2) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior square
The area of square is equal to

where
b is the length side of the square
so



Part 3) we know that
The area of the shaded region is equal to the area of four rectangles plus the area of one square
so



Part 4) we know that
The shaded region is equal to the area of the complete square minus the area of the interior square
so



Part 5) we know that
The area of the shaded region is equal to the area of triangle minus the area of rectangle
The area of triangle is equal to

where
b is the base of triangle
h is the height of triangle
so



Part 6) we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
The area of the circle is equal to

where
r is the radius of the circle
so


Answer: No, New York students are not truly more nerdy than the California students.
Step-by-step explanation:
Since we have given that
Number of students in a group = 50
Mean score of New York psychology = 530
Mean score of California psychology = 515
Standard deviation = 80
So, we will find t-distribution first.

Let α = 5% = 0.05
So, 
Since t < t(critical value)
No, New York students are not truly more nerdy than the California students.
Answer:
The rental rate for the Fords is of $12 per day.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the cost of a Nissan.
y is the cost of a Ford.
z is the cost of a Chevrolet.
Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day.
This means that:

Two Nissans, four Fords, and three Chevrolets cost $107 per day
This means that:

Four Nissans, three Fords, and two Chevrolets cost $102 per day.
This means that:

From the first equation:



Replacing into the third equation:


From the second equation:









Find the rental rate for the Fords.
We have to find y, so:






The rental rate for the Fords is of $12 per day.
Answer: 6/5 or 1 1/5 <--- (SIMPLIFIED)
~hope this helped, have a gr8 day/night my friend!~
Step-by-step explanation: