The problem is illustrated by the figure shown below.
It is clear that ΔABC is a right triangle because
(a) it is inscribed in a circle,
(b) Its sides satisfy the Pythagorean theorem because
6² + 8² = 36 + 64 = 100, and 10² = 100.
Therefore, AC is the diameter of the circumscribing circle, and the radius is
r = 5.
The area of the circumscribing circle is
A₁ = π(5²) = 25π
The area of the triangle is
A₂ = (1/2) 8*6 = 24
The required area, of the circumcircle minus that of the triangle (shaded area) is
A₁ - A₂ = 25π - 24 = 54.54 square units.
Answer:
54.54 square units.
Using the interpretation of a confidence interval, it is found that the correct option is:
- In order to find a range of values to estimate the population proportion.
x% confidence interval:
- A confidence interval is built from a sample, has bounds a and b, and has confidence level of x%. It means that we are x% confident that the population mean is between a and b.
- From the above bullet point, we have that the interval is taken from a sample, and is used to estimate a population parameter.
Hence, the correct option is:
- In order to find a range of values to estimate the population proportion.
You can learn more about the interpretation of a confidence interval at
brainly.com/question/25822483
An irrational number is a number than can't be put into a fraction. and is usually REALLY long number with decimal and does not have repeating numbers
A. 3/4 = 0.75 It is a fraction
B. √225 = 15 It is a whole number
C. √17 = 4.1231056245617.... It is an irrational number
D. 175.2845 It is not irrational and can be put into a fraction (
Answer:
Step-by-step explanation:
Standard form of a circle is given by,
(x - a)² + (y - b)² = r²
Here, (a, b) is the center and 'r' is the radius of the circle.
For a circle having center (8, -4) and radius r = 1
Equation of the circle will be,
(x - 8)² + (y + 4)² = 1²
(x - 8)² + (y + 4)² = 1
Option (1) is the answer.
Question (2)
Circle with the center (-1, 0) and a point (2, -4) on it,
Radius of the circle = Distance between the center and the given point on circumference
=
=
=
= 5
Therefore, equation of the circle will be,
(x + 1)² + (y - 0)² = 5²
(x + 1)² + y² = 25
Answer:
The first one is 1/2
The second one is 1
The third one is 0
Step-by-step explanation: