Answer:
A
Step-by-step explanation:
cosH =
=
=
≈ 0.4235 → A
Answer:
6x+30<102
0 ≤ x ≤ 12 gives all possible solutions for this problem.
Answer:

Step-by-step explanation:
Consider the
where
is sigma algebra and
is probabilistic measure. Denote
where Paul wins. By additivity of measure we know that
.
So
.
But
is exactly the set where Paul does not win. Q.E.D.
Answer:
35.34 centimeters
Step-by-step explanation:
The amount of pizza is same as the area. The pizza is in a shape of a circle. The area of a circle is:

Where
r is the radius (half of diameter)
Area of one medium size pizza is (diameter 25 means radius is 25/2 = 12.5):

So, area of two of these medium size pizzas is:
490.87 * 2 = 981.74
This should be the area of the large pizza. We can find the radius of that by substituting into formula. Shown below:

Hence, the diameter would be around:
17.67 * 2 = 35.34 centimeters
2x^2 + 18x - 17 = 11x - 2
-11x +2 -11x +2
2x^2 +7x - 15 = 0
(x - 1.5) (x + 5)
x = 1.5 x = -5