joe and marjorie are both competing in a half marathon. joe runs the first 8 miles of the race in 1 hour and marjorie runs the first 8 miles of the race in 52 minutes. if they maintain these individual rates, how many minutes faster will marjorie's half marathon finish time be than joe's? (a half marathon is a 13 mile race.)

13 minutes

Step-by-step explanation:

∵ Joe runs 8 miles in the time = 1 hour or 60 minutes

∴ Joe runs 1 mile in the time = minutes

∴ Joe runs 13 miles in the time = minutes

                                                   = 97.5 minutes

∵ Marjorie runs 8 miles in the time = 52 minutes

∴ Marjorie runs 1 miles in the time =

∴ Marjorie runs 8 miles in the time =

                                                         = 84.5 minutes

Therefore, times taken less by Marjorie to complete the marathon = 97.5 - 84.5 = 13 minutes.

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

the answer is a i belaeve atleast thats what my calculator just gfave me

step-by-step explanation: