Answer:
a = 33 degrees
Step-by-step explanation:
Note that 57 degrees and Angle a are complementary: they add up to 90 degrees.
Thus, a = 90 degrees less 57 degrees = 33 degrees
Answer:
It does not show variation
Step-by-step explanation:
Given

Required
Determine if there's direct variation between x and y
The general form of direct variation is:

Make y the subject of formula in the given parameters;


Compare
to 
<em>Since they are not of the same form, then the given equation do not show direct variation</em>
We know that the percentage amount of any number can be found by first converting the the given percentage to a fraction and then multiplying it by the given number. Thus, in our case, the exact value, that is 48% of 1165 can be calculated as follows:
We know that 
Therefore, 48% of 1165 can be re-written as: 
This can be calculated as [tex]0.48\times 1165=559.2[/tex
Therefore The exact value that is 48% of 1165 is 559.2