Answer:
A
Step-by-step explanation:
Using the sine ratio in the right triangle 
sin40° =  =
 =  =
 = 
Multiply both sides by 7, thus
AC = 7sin40° → A
 
        
                    
             
        
        
        
Answer:
The price of a package of chocolate chip is $13.25 
The price of a package of gingerbread is $17.18
Step-by-step explanation:
11x + 12y = 352
10x +8y = 270
Let "x" be the price of a package of chocolate chip.
Let "y" be the price of a package of gingerbread.
11x + 12y = 352(Multiply the 1st row by 10)
10x +8y = 270 (Multiply the 2nd row by 11)
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110x + 120y = 3520
110x +88y = 2970
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         3y = 550
y =550/3
y = 17.1875
The price of a package of gingerbread "y" is $17.18
Let's pick the first equation "110x + 120y = 3520"
110x + 120y = 3520
110x+ 120(17.1875)= 3520
110x+2062.5=3520
110x=3520−2062.5
110x=1457.5
x= 1457.5/110
x=13.25
The price of a package of chocolate chip is $13.25 
 
        
             
        
        
        
Answer:
495 combinations of 4 students can be selected.
Step-by-step explanation:
The order of the students in the sample is not important. So we use the combinations formula to solve this question.
Combinations formula:
 is the number of different combinations of x objects from a set of n elements, given by the following formula.
 is the number of different combinations of x objects from a set of n elements, given by the following formula.

How many combination of random samples of 4 students can be selected?
4 from a set of 12. So

495 combinations of 4 students can be selected.
 
        
             
        
        
        
Answer:
a: vertical stretch
h: horizontal translation (remember not to get signs mixed up!)
k: vertical translation