Both circle a and circle b have a central angle measuring 140°. the ratio of the radius of circle a to the radius of circle b is 2 3 . if the length of the intercepted arc for circle a is 3 4 π, what is the length of the intercepted arc for circle b?

Let 

rA> radius of the circle A

rB> radius of the circle B

LA> the length of the intercepted arc for circle A

LB> the length of the intercepted arc for circle B

we have that

rA/rB=2/3> rB/rA=3/2

LA=(3/4)π

we know that

if Both circle A and circle B have a central angle , the ratio of the radius of circle A to the radius of circle B is equals to the ratio of the length of circle A to the length of circle B

rA/rB=LA/LB> LB=LA*rB/rA> [(3/4)π*3/2]> 9/8π

 the answer is

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.