24+60=84>66
60+66=126>24
66+24=90>60
Therefore, the lengths are the sides of a triangle because the sum of lengths of two sides must be greater than the third side. All the sum of length of 2 sides are greater than the third side.
Answer:
Step-by-step explanation:
Answer: i dont know how exact you want it but the answer is 31.4159265359
Step-by-step explanation: you have to double the raduis and multiple buy pie.
Answer:
Step-by-step explanation:
This is a differential equation problem most easily solved with an exponential decay equation of the form
. We know that the initial amount of salt in the tank is 28 pounds, so
C = 28. Now we just need to find k.
The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is
. Thus, the change in the concentration of salt is found in
inflow of salt - outflow of salt
Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

Therefore,
or just
and in terms of time,

Thus, our equation is
and filling in 16 for the number of minutes in t:
y = 24.834 pounds of salt
For this case we must resolve the following inequality:

Adding 7 to both sides of the inequality:

Different signs are subtracted and the major sign is placed.

Thus, the solution is given by all the values of "x" less than -5.
The solution set is: (-∞, - 5)
Answer:

See attached image