Richard’s annual college expenses are expected to total $17,745. he will receive $5,320 in grants. how much will richard need to contribute to his annual college expenses? $11,425 $11,465 $12,425 $12,465

Richard needs to contribute to his annual college expense,

$12,425 ,

if Richard doesn't do so, he will not have enough money.

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2