Step-by-step explanation:
- sinx+sin(x+4x) =cot2x
 - sinx+sinx cos4x+cosx sin4x=cot2x
 
sinx+sinx cos4x=sinx (1+cos4x) =
sinx (1-1+2(cos2x)^2) =2sinx (cos2x)^2
sin4x=2sin2xcos2x
2sinx(cos2x)^2+cosx+2sin2xcos2x=cot2x
2sinxcos2x(cos2x+2(cosx)^2)=cot2x
but 2(cosx)^2=cos2x+1
2sinxcos2x(cos2x+cos2x+1)=cos2x/sin2x
(2sinxsin2x)(2cos2x+1) =1
(4cosx(sinx)^2)(2cos2x+1) =1
 
 
        
             
        
        
        
 this is too funny martinezzzzzz13 
 
        
                    
             
        
        
        
Answer:
Option C. 
Step-by-step explanation:
we know that
Triangles ADE and ABC are similar by AA similarity postulate
AB=2AD
Apply proportion

Find the length of segment DE

 
        
             
        
        
        
I would check my math but 4/3 = 1.3 x 18= 24 divided by 2 for radius would be 12x12=144 x pie or 3.14 would be 452.16
 
        
             
        
        
        
I think the answer is 9.375 if it needs to be in decimal form. If it needs to be in fraction form it would be improper, 9 3/8 would be the fraction. Hope it helps!