Answer:
Seven-thirds
Step-by-step explanation:
The give equation is  .
.
The leading coefficient is 9
The constant term is 7
According to the rational root theorem, the ratio of factors the constant terms to that of the coefficient of the leading term are all possible rational roots of the given polynomial.
Base on this theorem,  or seven thirds is a potential root because the numeration is a factor of 7 and the denominator is a factor of 9.
 or seven thirds is a potential root because the numeration is a factor of 7 and the denominator is a factor of 9.
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:
We will use the co-function identity for sine, where: 

Since sin(21)=0.358=cos(x). This means that: 

Solve for x. Add x to both sides: 

Subtract 21 from both sides: 

Hence: 

 
        
             
        
        
        
Answer:
$1200
Step-by-step explanation:
There are 2 ways I immediately think about to solving the problem.
1) You multiply 30 and 200 , then multiply the product by .2 (i.e. 20%)
 This way, you'll find out what the total amount was($6,000), then you multiply it by your commission rate.(.2 or 20%) to find your total profit($1,200).
2) You multiply 200 by .20 , then multiply the product by 30.
 This way, you'll find out what your commission would be for a single item($40), then multiply by the total items sold (30) to find your total profit($1,200).
 
        
             
        
        
        
10% of 110 = 11
20%= 11 x 2 = 22
22
10% of 22 = 2.2
2.2 x 2 = 20% = 4.4
2.2/2= 5% =1.1
4.4+ 1.1
=5.5 pieces of candy left