Answer:
x = 17.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 25 = x /41
41 sin 25 = x
17.32734=x
Rounding to the tenths place
x = 17.3
79.99-12%=70.39
70.39*12%= 4.75
70.39+4.75=$75.14
Answer:
f^-1(x) is 6x + 48
f(x) = 1/6x - 8
To find f^-1(x) equate f(x) to y
That's
f(x) = y
y = 1/6x - 8
Next interchange the terms
We have
x = 1/6y - 8
Make y the subject
Multiply through by 6
We have
6x = y - 48
y = 6x + 48
Therefore f^-1(x) is 6x + 48
Hope this helps you
Answer:
1/8 of the budget was left for other expenses.
Step-by-step explanation:
1/4 of the budget - buildings and maintenance.
Administrative personnel : 1/4 + 1/8 = 2/8 + 1/8 = 3/8 of the budget.
Therefore:
3/8 of the budget - administrative personnel.
Public safety : 3/8 - 1/8 = 2/8 = 1/4 of the budget.
For other expenses :
1 - ( 1/4 + 3/8 + 1/4 ) = 1 - ( 2/8 + 3/8 + 2/8 ) 1 - 7/8 = 1/8
Finally, 1/8 of the total budget was for the other expenses.
