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.
Answer:
X= 5/3
Step-by-step explanation:
The answer rounded to the nearest hundredth is 152.93
The length of the hypotenuse equals to the square root of the sum of the square of the other two sides.
12x12+16x16=144+256=400
The square root of 400 is 20.
By the same way, you can find the length of the hypotenuse of the reduced triangle
9x9+12x12=81+144=225
The square root of 225 is 15
The length of the hypotenuse is 15
The perimeter =12+9+15
The perimeter=36
