Answer:
0.56
Step-by-step explanation:
                                   sin x
tan x is defined as -------------
                                   cos x
and we can solve this for sin x:  sin x = (cos x)(tan x) 
which here is:  sin x = 0.83(0.67) = 0.56 (rounded up from 0.5561)
 
        
             
        
        
        
Answer:
x = -11/5 and y = 24/5
Step-by-step explanation:
Use elimination.
First, we need to multiply so that at least one variable can cancel out.
We can multiply the top equation by 2.
So we get
4x + 6y = 20
Then, we can use elimination.
The x's cancel out.
So we get 5y = 24
Or y = 24/5
Then, we can plug in this y value back into the first equation to find x.
2x + 3(24/5) = 10
2x + 72/5 = 50/5
2x = -22/5
x = -11/5
So x = -11/5 and y = 24/5
 
        
             
        
        
        
For a regular polygon with n sides, interior angle
= [(n-2) × 180°]/n
So, interior angle of this regular heptagon shape
= [(7 - 2) × 180°]/7
= (5 × 180°)/7
= 900°/7
= (900/7)°
= 128.571° [approximately]
 
        
                    
             
        
        
        
Note that 60 minutes is 1 standard deviation away from the mean and from recalling the 68-95-99.7 rule, the area that will remain is (100 - 68) = 32%. However, we only want the leftmost portion of this area, so the answer is 32%/2 = 16%. 
<span>Choose D.</span>
        
             
        
        
        
I hope this helps
3x-y=13
step 1: add y to both sides
3x-y+Y=13+Y
3x=y+13
step 2: divide both sides by 3
3x/ 3 = y+13/3
x=1/3y+ 13/3
answer: x=1/3y+13/3