Answer:
31.42
Step-by-step explanation:
radius= half diameter
circumfrence= 2pi*r
Perpendicular Bisector Theorem
Given :
A circle is inscribed in a square with a side length of 144.
So, radius of circle, r = 144/2 = 72 units.
To Find :
The probability that the point is inside the circle.
Solution :
Area of circle,

Area of square,

Now, probability is given by :

Therefore, the probability that the point is inside the circle is 0.785 .
Answer:

Step-by-step explanation:
Given:
Total number of glasses = 16
Number of glasses containing prune juice = 4
Number of glasses containing apple juice = 2
To find: fractional part of the glasses that contain beverages ( perhaps, H2O) other than prune juice and apple juice
Solution:
A fraction refers to the parts of a whole. In a fraction, a top number is the numerator, and a bottom number is the denominator.
Number of glasses that contain beverages ( perhaps, H2O) other than prune juice and apple juice = 16 - 4 - 2 = 10
Total number of glasses = 16
So,
Fractional part of the glasses that contain beverages ( perhaps, H2O) other than prune juice and apple juice = 
Answer:
The sum of the first 5 terms is -244
Step-by-step explanation:
To calculate the sum of the geometric series, we need the first term, the common ratio and the number of terms we would like to sum.
The first term here is -4
The common ratio is T2/T1 or T3/T2 = 12/-4 = -3
number of terms n = 5
The formula to use is;
Sn = a(1-r^n)/(1-r)
Plugging these values, we have;
Sn = -4(1-(-3)^5)/(1-(-3))
Sn = -4(1+243)/4 = -1(244) = -244