The probability that the point P lies outside the square is;1 - (2/π)
<h3>How to choose a point in a circle?</h3>
If a is the radius of the circle, then;
Area of the inscribed square = 2a²
Now, area of the circle is;
Area of circle = πa²
Thus, probability that the point lies outside the square is;
Area of between circle and square/area of circle
Area between circle and square = πa² - 2a² = a²(π - 2)
Thus;
P(the point lies outside the square) = a²(π - 2)/πa² = (π - 2)/π = 1 - (2/π)
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Answer:
the value of x would be 108 degrees
Step-by-step explanation:
The computation of the value of x in degrees is shown below:
Given that both the triangles has the 34 degrees and 48 degrees
Now in the triangle 1 angle a = 108 degrees
And, in the triangle 2 a = x
Now in this case both the triangles are similar to each other
So here the value of x would be 108 degrees
This represent the refute the claim of Bob
Area squares is the side*side, or



So, each side equals 5.
Answer:

Step-by-step explanation:
The center of the ellipse at the origin, and (1,0) and (0,4) are the vertex and co-vertex of it.
Therefore, the major and minor axis of the ellipse is X-axis and Y-axis respectively.
And the standard form of the equation of ellipse is
, where a = half of major axis length and b = half of minor axis length.
So, a = 1 and b = 4.
Therefore, the equation of the given ellipse is
⇒
(Answer)
Answer:
Shrink of an exponential growth function is f(x) = 1/3(3)^x
Step-by-step explanation: