Suppose that circles a and b have a central angle measuring 75°. additionally, circle a has a radius of 5 2 feet and the radius of circle b is 9 2 feet. if the length of the intercepted arc for circle a is 25 24 π feet, what is the length of the intercepted arc for circle b? a) 5 8 π feet b) 8 5 π feet c) 8 15 π feet d) 15 8 π feet

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=5/2 ft

rB=9/2 ft

rA/rB=5/9> rB/rA=9/5

LA=(25/24)π ft

 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> [(25/24)π*9/5]> 15/8π ft

the answer is

the length of the intercepted arc for circle B is 15/8π ft

4

step-by-step explanation:

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5