Answer:
Option (1)
Step-by-step explanation:
By the inscribed angle theorem inside a circle,
"Measure of an inscribed angle is half the measure of the intercepted arc"
[m(arc AB)] = m(∠ABC)
m(arc AB) = 2[m(∠ABC)]
x = 2(41°)
x = 82°
Option (1) is the correct option.
Answer:
Option (B)
Step-by-step explanation:
To calculate the distance between C2 and SW1 we will use the formula of distance between two points and
.
d =
Coordinates representing positions of C2 and SW1 are (2, 2) and (-6, -7) respectively.
By substituting these coordinates in the formula,
Distance between these points =
=
= units
Therefore, Option (B) will be the correct option.
Answer:
The correct option is 4. Neither A nor B represents a function.
Step-by-step explanation:
The given sets of ordered pairs are
A set of ordered pairs represents a function if there exist unique outputs for all inputs. It means for each values of x there exist, a unique value of y.
In set A the value of y-coordinates are -5 and 7 at .
At x=8, there exist more than one value of y, so the set A is not a function.
In set B the value of y-coordinates are -4 and -2 at .
At x=7, there exist more than one value of y, so the set B is not a function.
Therefore neither A nor B represents a function and option 4 is correct.
Step-by-step explanation:
Let the side of square be a and radius of circle be r.
The perimeter of a particular square and the circumference of a particular circle are equal.
Perimeter of square = 4 x a = 4a
Circumference of circle = 2πr
Given that
4a = 2πr
We need to find the ratio of the area of the square to the area of the circle.
Area of the square = a²
Area of the circle = πr²
Ratio of area of the square to the area of the circle = π/4