Answer:
The second answer
Step-by-step explanation:
P'Q'R' is simply rotating PQR 90 degrees, it does not change the angle that it makes
Answer:
Yes, it can be generated if
, where n is a positive even integer.
Step-by-step explanation:
An odds for an event, is the probability or chance that this event will occur, divided by the probability that it will not occur.
Assume that the probability of getting tail when throwing the coin is
, therefore, the probability of getting a head is
and the odds for the event of getting tail is
.
If
is a positive integer, and we assume that the odds of getting a tail are even, then:



Conclusion: if
, for some positive integer
, even odds are generated. For example:
.
If the airport is located at the origin, for units of miles and hours, we can write the equations of position for airplanes "a" and "b" in rectangular coordinates as
a = (-30 +250t, 0)
b = (0, -40 +300t)
The distance between these (moving) points can be computed in the usual way using the Pythagorean theorem.
d = √((-30 +250t - 0)² +(0 - (-40 +300t))²)
d = √(2500 -39000t +152500t²)
Then the rate of change of d is the derivative of this.
d'(t) = (-19500 +152500t)/√(2500 -39000t +152500t²)
At the present time (t=0), the rate of change of distance between the planes is
d'(0) = -19500/√2500 = -390
The distance between the planes is decreasing at 390 mi/h.
Answer:
X = -27
Step-by-step explanation:
x = 3- 30
Answer:
20% increase
Step-by-step explanation:
Percent increase = (difference) / original *100 percent
= (12-10)/10 * 100percent
= 2/10 *100 percent
= 1/5 * 100 percent
=.2 * 100 percent
= 20%