Newton's law of cooling states that under forced convection (which is assumed to be true), then
dT(t)/dt = -k(T(t)-Ta)..............(1)
T(t)=temperature
Ta=ambient temperature=40F
k=cooling constant = 0.1947
T(0)=98.6F (assuming victim did not have fever)
Integrate (1)
T(t)-Ta=(T(t)-T(0))e^(-kt)
Solve for t
(T(t)-Ta)/(T(t)-T(0)) = e^(-kt)
take log:
-kt=log_e((T(t)-Ta)/(T(t)-T(0)))
substitute T(t)=80F, Ta=40F,T(0)=98.6F
-kt=log_e((80-40)/(98.6-40))=-0.38186
t=0.38186/0.1947
=1.96, or almost 2 hours (assuming k=0.1947 is in hours)
Answer:
18 is the correct answer hope it helps
The answer is b -3.6 hope this helps and god bless my friend
Answer:
Option 4: 12.7
Step-by-step explanation:
You can look at the diagram as two 45º45º90º triangles.
By the properties of a 45º45º90º triangle:
OW=WL=a
OL=a√2
a√2 = 18
a=18/√2a≈12.728