Option a:  is the length of b
 is the length of b
Explanation:
The angle of B is  and
 and 
We need to determine the length of b.
First, let us determine the angle of A.
Since, ABC is a triangle, then all the angles add up to 180°
Thus, we have,


        
                    
Thus, the angle of A is 
Now, we shall determine the length of b using the sine law formula.
The formula for sine law is given by,

where  ,
 ,  ,
 , 
Thus, we have,

Simplifying, we get,

Multiplying both sides by 0.866, we get,

Multiplying the numerator, we have,

Dividing, we get,

Thus, the length of b is 
Hence, Option a is the correct answer.
 
        
             
        
        
        
Answer:1/2
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Domain: (-∞, ∞)
Range: [0, ∞)
Step-by-step explanation:
The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)
The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)
 
        
             
        
        
        
Answer:
answer correct order  1,3,2
Step-by-step explanation:
65% of 80 is 52    
82% of 50 is 41
and 170% of 30 is 51
 
        
             
        
        
        
Let's assign variables for the unknowns. Let x be the amount of total sales while x is the amount of net sales. It is called net sales because a percentage is still deducted from it. The equation will be written as:
Net Sale = Total Sales - 0.25*Total Sales
y = x - 0.25x
y = 0.75x