Answer:
78
Step-by-step explanation:
Ratio of left-footed teachers to right-footed teachers = 3:13
18 left-footed teachers; 3x6 = 18 (3:13 is a simplified ratio and to get 18, you have to multiply 3 by 6)
13x6 = 78 (whatever you do to one side, you have to do the other)
78 right-footed teachers
a. The general equation for a circle centered at with radius is
The described circle has equation
We know the circle passes through the origin. This means that the equation above holds for and . The distance between any point on the circle and its center is the radius, so we can use this fact to determine :
So the circle's equation is
b. If the distance between point B and the center is less than , then B lies inside the circle. If the distance is greater than , it falls outside the circle. Otherwise, if the distance is exactly , then B lies on the circle.
The distance from B to the center is
, so , which means B falls outside the circle.
Answer:
20-p-10q
Step-by-step explanation:
4(2-p-q)+3(4+p-2q)
8-4p-4q+12+3p-6q
20-p-10q
Answer:
r = 55.2 cm
Step-by-step explanation:
the arc length is calculated as
arc = circumference × fraction of circle
= 2πr × ( r is the radius )
given arc = 63.48π , then
2πr × = 63.48π ( cancel 2π on numerator/ denominator )
r × π = 63.48π ( divide both sides by π )
= 63.48 ( multiply both sides by 20 to clear the fraction )
23r = 1269.6 ( divide both sides by 23 )
r = 55.2 cm