Answer:
Step-by-step explanation:
The triangle is a right angle triangle. This is because one of its angles is 90 degrees. 
Let us determine x
Taking 47 degrees as the reference angle,
x = adjacent side
11 = hypotenuse
Applying trigonometric ratio,
Cos # = adjacent side / hypotenuse
# = 47 degrees
Cos 47 = x/11
x = 11cos47
x = 11 × 0.6820
x = 7.502
Let us determine y
Taking 47 degrees as the reference angle,
y = opposite side
11 = hypotenuse
Applying trigonometric ratio,
Sin # = opposite side / hypotenuse
# = 47 degrees
Sin 47 = y/11
x = 11Sin47
x = 11 × 0.7314
x = 8.0454
 
        
             
        
        
        
Answer:
y=16 x=1
Step-by-step explanation:
For this one, we need to find the unit rate, which means how many cookies we can make using 1 cup of flour. To do that, we need to divide both the flour and the cookies by 3 to get 3/3=1 and 48/3=16. So the total amount of cookies made with one cup of flour is 16. So the constant proportionality is 16,1.
 
        
             
        
        
        
Answer:
He solved 75% of the puzzles!
Step-by-step explanation:
Okay, let's look at our fraction 18 out of 24. We can see that they are both even numbers, so at worst, we can divide the entire fraction by two. However, they have a GCF of six, so we will use that.
18                               3
----  divided by 6  =  ----
24                              4
Now that we have the fraction 3/4, we can turn that into a percentage! 
3/4 is 0.75. To get the percentage, we multiply that by 100--now we have 75%.
 
        
             
        
        
        
Check picture below, radius = r = 15, thus
 
        
             
        
        
        
Profit=no of katanas sold * (selling price of each katana-cost of making one katana) - cost to run the website