Answer:

Step-by-step explanation:
Hi!
Lets call:
T = temprature of the object
T₀ = temperature of surroundings
t = time
The rate of change of T is its derivative with respecto to time. If T > T₀, the object looses heat, so T decreases. Then, being k > 0:

In this case T₀ = 70ºF and k = 0.05/min. Then the differential equation is:

Answer:
It was a rainy day
, but Joan and I had planned a trip. Joan wanted to go to the beach for a swim. I wasn't sure if we should go.
"I think we should wait a little longer
, at least until the rain shows some signs of slowing down," I suggested.
"We can't swim without getting wet anyway," replied Joan, questioning my choice of swimsuit
, the one my mom had bought at a secondhand store.
Step-by-step explanation:
Answer:
The answer to your question is 658.2 ft³
Step-by-step explanation:
Data
Volume = x
height = 11.8 ft
radius = 7.3 ft
Formula
Volume of a cone = 1/3πr²h
Process
1.- Calculate the volume
Volume = 1/3(3.14)(7.3)²(11.8)
Volume = 1/3(3.14)(7.3)²(11.8)
Volume = 1/3(3.14)(53.29)(11.8)
Volume = 1/3(1974.5)
Rounded to the nearest tenth
Volume = 658.2 ft³
Answer:
A.
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = θ
Side Adjacent to θ = 8
Hypotenuse = 15
Therefore, we would apply CAH since we know the hypotenuse and the adjacent length.
Thus:
Cos θ = Adj/Hyp = 8/15
Cos θ = 0.5333
θ = Cos^{-1}(0.5333)
θ = 57.7713051°
θ = 57.8° (to nearest tenth)