Starting at home jessica traveled uphill to the toy store for 12 minutes at just 10 mph. she then traveled back home along the same path downhill at a speed of 30 mph. what is her average speed for the entire trip from home to the toy store and back?

15 miles per hour

Step-by-step explanation:

Average Speed is:

Average Speed = Total Distance/Total Time

Going uphill, she took 12 minuets, that is hours is 12/60 = 0.2 hours

We know D = RT, Distance = Rate(speed) * Time

Thus,

D = 10mph * 0.2 hr = 2 miles

So, total distance (uphill and downhill) = 2 + 2 = 4 miles

Downhill the time she took is

D = RT

2miles = 30mph * T

T = 2/30 = 1/15 hours = 1/15 * 60 = 4 minutes

Hence total time is 12 + 4 = 16 minutes

Note: 16 minutes = 16/60 = 4/15 hours

Now

Average Speed = Total Distance/Total Time

Average Speed = 4 miles/ 4/15 hours = 15 mph

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet