volume for a sphere (ball) is 4/3 x PI x r^3
r = 6.3, r^3 = 6.3^3 = 250.047
volume = 4/3 x 3.14 x 250.047 = 1046.863
rounded to nearest hundredth = 1046.86 cubic inches
Answer:
m-1-n
Step-by-step explanation:
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.
Please find the attached file for a proper understanding of the question given here. The diagram in the file attached is the complete accompanying diagram of the question.
As per that diagram,
(which is given)
and we know that
(vertically opposite angles).
Thus, the only way ΔDSB ≅ ΔTSR by SAS is when
as indicated in the diagram.
Thus,
is the correct answer.