<h3>
Answer: 10.99</h3>
Work Shown:
Angle B = 20 is the reference angle
AC = 4 is the side opposite this reference angle
BC = x is the unknown adjacent side
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(20) = 4/x
x*tan(20) = 4
x = 4/tan(20)
x = 10.9899 approximately (make sure your calc is in degree mode)
x = 10.99 rounding to two decimal places
BC = 10.99
The city contributed $13,500; the county contributed $27,000; and the state contributed $54,000.
Let x be the amount the city contributes. Since the county contributes twice as much as the city, the county's amount is 2x. Since the state contributes twice as much as the county, the state's amount is 2(2x) = 4x.
They total 94,500:
x+2x+4x = 94500
7x = 94500
Divide both sides by 7:
x = 13500
2x = 27000
4x = 54000
Answer:

Step-by-step explanation:
simplify

to

then
-0.05 × 120 = -6
then we have our answer
-6√2