Answer:
Step-by-step explanation:
In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:
Therefore, the length of the opposite side is about 7.8 units
1: 80% The reason why is because if you do 4/5, you get .80, move the decimals to places to the right, and you get 80%
2: 95% Process of Elimination, and Educated Guess.
3: 33 1/3% If you do 50/150, you get 0.33333... Like I said, move the decimal point two places to the right, and you get 33.33...%
<em>I hope this helps, and Happy Holidays! :)</em>
The Newton`s law of cooling:
T = R + ( To - R ) * e ^(-kt )
We know that: T = 32° F ( the water freezes at 32° F ), To = 55° F, R = 5° F
and the cooling rate is: k = 0.012.
33° F = 5° F + ( 55° F - 5° F ) · 2.72^(-0.012 t )
33 - 5 = 50 · 2.72^(-0.012 t)
27 = 50 · 2.72^(-0.012 t)
2.72^(-0.012 t) = 27/50
1 / 2.72^(0.012 t) = 0.54
2.72^( 0.012 t ) = 1 : 0.54 = 1.85
0.012 t = log(base e) 1.85 = ln 1.85 = 0.6
t = 0.6 : 0.012 = 50
Answer: It would take 50 minutes.
You can probably look up a answer key for that worksheet. ;)
