Answer:
dy/dx = (cos y + y sin x) / (cos x + x sin y)
Step-by-step explanation:
y cos x = x cos y
y (-sin x) + dy/dx cos x = x (-sin y dy/dx) + cos y
-y sin x + dy/dx cos x = -x sin y dy/dx + cos y
dy/dx (cos x + x sin y) = cos y + y sin x
dy/dx = (cos y + y sin x) / (cos x + x sin y)
 
        
             
        
        
        
Answer:  The parametric is being tested here is "p" (population proportion).
The hypothesis test is left-tailed.
Step-by-step explanation:
Given : The null and alternative hypotheses are 

The parametric is being tested here is "p", where p stands for population proportion.
Also, the type of test depends on the alternative hypotheses.
Since the alternative hypotheses is left-tailed, so the hypothesis test is left-tailed.
 
        
             
        
        
        
The pattern is multiplying by 3. So it will be: 243, 729
        
                    
             
        
        
        
79.8 is the discount of the price of an armchair that originally cost $266.00......... because 266.00÷30%=79.8
        
                    
             
        
        
        
Answer:
x = 17 , y = 34
, y = 34
Step-by-step explanation:
Since the triangle is right use trig ratios to find x and y
note exact values sin30° =  , tan30° =
, tan30° = 
sin30° =  =
 = 
multiply both sides by y
y sin30° = 17 ( divide both sides by sin30° )
y =  = 34
 = 34
tan30° =  =
 = 
multiply both sides by x
x tan30° = 17 ( divide both sides by tan30° )
x =  = 17
 = 17