For a right triangle with 60° angle, and hypotenuse h=10√3,
x=h*sin(60)=10√ 3 * √3/2 = 30/2=15
y=h*cos(60)=10√3 * (1/2) = 5√3

,

,

We find the probability of intersection using the inclusion/exclusion principle:

By definition of conditional probability,

For

and

to be independent, we must have

in which case we have

, which is true, so

and

are indeed independent.
Or, to establish independence another way, in terms of conditional probability, we must have

which is also true.
Answer:
c = 4 A
Step-by-step explanation:
The given function P(c) = - 15 c (c-8) is actually quadratic function:
P(c) = - 15c² + 120c or parabola
The standard form of a quadratic function is:
y = ax² + bx + c
For which x is the maximum of the parabola we can find with this formula
x = - b/2a
in this case a = -15 and b = 120 and input variable is current c
c = - 120/(2 · (-15)) = - 120/ (-30) = 4 A
c = 4 A
God with you!!!
Below represents the proof that the quadrilateral QRST is a parallelogram
<h3>How to prove that QRST is a parallelogram?</h3>
The coordinates are given as:
Q = (-1,-1)
R = (2,9)
S = (-4,5)
T = (-7,-5)
Calculate the length of each side using:

So, we have:




The above computations show that opposite sides are equal.
Next, we determine the slope of each side using:

So, we have:




The above computations show that opposite sides are parallel, because they have equal slope
Hence, the quadrilateral QRST is a parallelogram
Read more about parallelograms at:
brainly.com/question/3050890
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Answer:
60 miles to km would be 0.06 kilometer.
Step-by-step explanation: