The absolute value - or distance from zero, is fairly simple to find. Make your final answer positive to find it.


9514 1404 393
Answer:
perimeter ≈ 12.4 units
Step-by-step explanation:
The side adjacent to the angle is given. The relationships useful for the other two sides are ...
Tan = Opposite/Adjacent
Cos = Adjacent/Hypotenuse
From these, we have ...
opposite = 5·tan(22°) ≈ 2.02
hypotenuse = 5/cos(22°) ≈ 5.39
Then the perimeter is ...
P = a + b + c = 2.02 + 5 + 5.39 = 12.41
The perimeter of ∆ABC is about 12.4 units.
To find how much lemonade the pitcher can hold, you will add the amounts that he drank and remained to get a total. This total would be the starting amount.
8 oz + 8 oz + 24 oz = 40 ounces
The pitcher originally held 40 ounces of lemonade.