Find the area of the semicircular window. Round your answer to the nearest hundredth.
2 answers:
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Answer:
Step-by-step explanation:
Use Newton's Law of Cooling here:
where T(t) is the temp of something after a certain amount of time, t, has gone by; Ts is the surrounding temp, and T0 is the initial temp. k is the constant of cooling. We need to first solve for this using the information given. Filling in what we know:
which can simplify a bit to
and
Take the natural log of both sides:
Taking the natural log allows us to pull that exponent down out front:
and now we can divide both sides by ln(38) to get
-35k = .794585 so
k = -.023
Now that have the value for k, we can go on to solve the rest of the problem which is asking us the temp of the soda after 70 minutes. Filling in using the k value and the new time of 70 minutes:
and
and
and
T(t) = 35 F, basically the temp of the fridge, which is not surprising!
Answer:
Aliyah will take a total of 4274 steps.
Step-by-step explanation:
Given:
Number of steps from home to store = 1317 steps
Number of steps from store to park = 561 steps
Number of steps from park to friends house = 259 steps
So now we will find the Total number of steps from home to friends house.
Total number of steps from home to friends house can be calculated by adding Number of steps from home to store and Number of steps from store to park and Number of steps from park to friends house.
framing in equation form we get;
Total number of steps from home to friends house =
Is same route is followed to home we can say that;
Total number of steps from friends house to home = 2137 steps.
So Total number of steps she will take next day will be equal to Total number of steps from home to friends house plus Total number of steps from friends house to home.
framing in equation form we get;
Total number of steps she will take next day = 2137 +2137 = 4274 steps
Hence Aliyah will take a total of 4274 steps.