Step-by-step explanation:
I will call the angle A.
we need to use cos, sine, and tangent here
cosine= adjacent over hypotenuse
sine = opposite over hypotenuse
tangent = opposite over adjacent
the angle A has x as the hypotenuse
and y is adjacent to the angle
cosine will be used
cos(A)= adjacent/hypotenuse
cos(A)= 5/x
get x alone by using opposite signs
x and 5 are dividing. the opposite of division is multiplication , but in order to cancel 5 from the right side i need to multiply the reciprocal. 5 is on top, needs to be on bottom to cancel out
cos(A)*(1/5)= 5*(1/5x)
cos(A)/5=(1/x)
flip both sides to get x on top
(5/cos(A))=x
use calculator
and make sue it is in degrees
x=5.8 cm
<span>If Ashton made
contributions to a Roth IRA over the course of 32 working years, then his
contributions averaged $2,400 annually, and Ashton was in the 28% tax bracket
during his working years, then the annual compounding will be 6% or .06.</span>
See attached for the work
Use the Law of Sines:
sin B sin 81 sin 44
---------- = ----------- = --------------
side AC 68 side AB
Then (side AB)(sin 81) = 68(sin 44), or
68 sin 44
side AB = ----------------------- = 47.83 units long
sin 81
