The answer is B!
good luck with the rest of your hw!
        
                    
             
        
        
        
The main identity you need is the double angle one for cosine:

We get

Expand the numerator to apply the identity again:




Finally, make use of the product identity for cosine:

so that ultimately,


 
        
             
        
        
        
Answer:
d=√73=8.544
Step-by-step explanation:
Find distance (d) between market (0,8) , court house(6,5) and library(6,-1)
d between two pint is :
d=√(x2-x1)²-(y2-y1)²
d between market and court house:
d=√(6-0)²+(5-8)²
d=√36+9=√45 = 6.7082 ≅6.71 rounded to the nearest hundredths
d between courthouse and the library:
d=√(6-6)²+(-1-5)²
d=√36=6
the distance that Runner A ran=6.71+6=12.71
the distance from the library to the school:
d=√(6-(-2))²+(-1-(-4))²
d=√8²+3²
d=√64+9
d=√73=8.544 ( rounded to the nearest hundredth)
Runner B went  8.544 further than Runner A before stopping at school ( which is the distance between the library and the school.
 
        
             
        
        
        
Answer:
They are adjacent
Step-by-step explanation:
 
        
             
        
        
        
Answer:
<h2>
The interest ethan will pay is $164.25</h2>
Step-by-step explanation:
To calculate the interest paid by ethan on the borrowed bike using the formula.
Simple Interest = Principal * rate * time/100
Principal =  $2,190, rate = 2.5%, time = 3years
On substitution
SI = 

The interest ethan will pay is $164.25