Answer:
11 inches by 11 inches
Step-by-step explanation:
x-3=8
x=8+3
x=11
Answer = 127 degrees
Firstly, find out how many degrees in total are in the polygon.
(n stands for number of sides)
(n - 2) x 180
(6 - 2) x 180 = 720
Afterwards, subtract that amount by all the given angles.
720 - 112 - 133 - 128 - 100 - 120 = 127 degrees
Hope it helps :D
The differential equation
is considered exact if (where subscripts denote partial derivatives). If it is exact, then its general solution is an implicit function such that and .
We have
and , so the equation is indeed exact.
Now, the solution satisfies
Integrating with respect to , we get
and differentiating with respect to , we get
Then the general solution to the exact equation is
Answer:
434,470 gallons
Step-by-step explanation:
The exponential equation for the volume v remaining after t hours can be written as ...
v(t) = (initial amount)×(decay factor)^(t/(decay time))
v(t) = 500,000×(1 -10%)^(t/3)
Then after 4 hours, the remaining volume is ...
v(4) = 500,000×(0.90^(4/3)) ≈ 434,470 . . . . gallons
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<em>Comment on the form of the equation</em>
The decay factor is related to the decay rate by ...
decay factor = 1 - (decay rate)
and the decay time is the time applicable to that decay rate. Here, the rate is 10% every 3 hours, so the decay time is 3 hours for a decay rate of 10%.
The option that expresses the age of tree in scientific notation with the lowest level of precision would be A. 3 X 10 to the 3rd power. As it contains the fewest number of significant figures.