Dennis ran 3 miles in 20 minutes and continues runnin at this rate for 1 hour. cindy ran 6 miles in 30 minutes and continues running at this rate for 1 hour. dennis will run ? miles in 1 hour. cindy will run ? miles in 1 hour. ? will run ? miles farther than ? in 1 hour.

Dennis ran miles in 20 minutes = 3

Dennis ran miles in 1 minutes =

Dennis ran miles in 60 minutes =

                                                    =

60 minutes = 1 hour

So, Dennis ran 9 miles in 1 hour

Cindy ran miles in 30 minutes = 6

Cindy ran miles in 1 minutes =

Cindy ran miles in 60 minutes =

                                                    =

So, Cindy ran 12 miles in 1 hour

Difference in distance traveled in 1 hour = 12 miles - 9 miles = 3 miles

Hence Cindy ran 3 miles farther than Dennis in 1 hour

step-by-step explanation:

b and c

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: