Answer:
Salary of President = $180,000
Salary of Dept. Head = $60,000
Step-by-step explanation:
The question is to find the salary of president and department head.
We let the salary of one of department heads be "x"
Since, the salary of president is THREE (3) TIMES a department head, we can say:
Salary of President = 3x
Now, we know the total of these 2 salaries is 240,000. Thus, we can write:
Salary of President + Salary of Dept. Head = 240,000
3x + x = 240,000
Now, we can solve for x:
And now the president is "3x", so his salary is:
3(60,000) = 180,000
Thus,
President's salary = 180,000
Dept head's salary = 60,000
Given:
To find:
The exact value of cos 15°.
Solution:
Using half-angle identity:
Using the trigonometric identity:
Let us first solve the fraction in the numerator.
Using fraction rule:
Apply radical rule:
Using :