Emma buys 9 bottles of pineapple juice at the corner store for a total cost of $10.62. Assume each bottle of juice is the same price. If c represents the total cost in dollars
and cents of the juice for any number, j, of bottles of juice, write a proportional
equation for c in terms of j that matches the context.

$1.18

Step by step explanation :

9c = 10.62

c = 10.62/9

c = 1.18

The length is 46.10 cm.

Since ∠BCA = 50.5°, ∠ACD = 180-50.5 =129.5°.  This means that ∠CAD = 180-(129.5+35.8) = 14.7°.  We can now use the law of sines;

sin 14.7/20 = sin 35.8/x

Cross multiply:
x*sin 14.7 = 20*sin 35.8

Divide both sides by sin 14.7:
x = (20*sin 35.8)/(sin 14.7) = 46.10