Answer:  
<u>Step-by-step explanation:</u>
Given: cos x = 
, x is in Quadrant 4
Use Pythagorean Theorem to find sin x:
8² + y² = 17²    
       y² = 17² - 8² 
       y² = 289 - 64
       y² = 225
       y = 15
→    sin x = 
Use the double angle formula to find cos (2x):

              
 
        
                    
             
        
        
        
ON the blue cube there are 4 numbers greater than 2 and on the blue cube, 3 of the numbers are odd. As soon as BOTH outcomes have to happen (AND), you multiply the probabilities.
<span><span>4/6</span>×<span>3/6</span>=<span><span>1/3</span></span></span>
 
        
                    
             
        
        
        
Answer:

So it would takes approximately 6.9 hours to reach 32 F. 
Step-by-step explanation:
For this case we have the following differential equationÑ

We can reorder the expression like this:

We can use the substitution 
 and 
 so then we have:

IF we integrate both sides we got:

If we apply exponential in both sides we got:

And if we replace w = u-T we got:

We can also express the solution in the following terms:

For this case we know that 
 since w ehave a cooloing, 
, we have this model:
 
And if we want that the temperature would be 32F we can solve for t like this:



If we apply natural logs on both sides we got:


So it would takes approximately 6.9 hours to reach 32 F. 
 
        
             
        
        
        
The answer is Side RQ corresponds to side QQ'. 100% sure and please feel free to ask more.
        
             
        
        
        
Answer:
y=4
Step-by-step explanation: