PLS HELP!!
2 answers:
Answer:
D) 4 miles
Step-by-step explanation:
Pythagoras' Theorem:
(where a and b are the legs and c is the hypotenuse of a right triangle)
Given:
- a = Forrest Lane = 5 miles
- b = Pine Avenue = 12 miles
⇒ 5² + 12² = c²
⇒ 169 = c²
⇒ c = √169 = 13
⇒ Cedar Drive = 13 miles
Number of miles saved = (12 + 5) - 13 = 4 miles
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Answer:
(b) 67
Step-by-step explanation:
A solution to the differential equation describing the temperature according to Newton's Law of Cooling could be written as ...
T = (final temp) + (initial difference)×(decay factor)^t
where the decay factor is the fraction of change during 1 unit of time period t.
__
Here, the initial difference of 100-25 = 75 degrees decays to 90-25 = 65 degrees in 1 minute. So, the units of t are minutes, the decay factor is 65/75, the initial difference is 75 degrees, and the final temperature is 25 degrees. That lets us write the equation as ...
T = 25 +75(65/75)^t
Then for t=4, the temperature is ...
T = 25 +75(13/15)^4 ≈ 67.3 . . . . degrees
After 4 minutes the temperature of the coffee is about 67 degrees.
