Using the law of cosines:
The grocery store to the school:
Distance = √(7^2 + 10^2 - 2*7*10*cos(100)
Distance = 13.16 miles
The movie store to the school:
Distance = √(7^2 + 10^2 - 2*7*10*cos(120)
Distance = 14.80 miles
The friend is further away.
X + y = 24
x - y = 2
Adding both equations
2x = 26
x = 13
y = 11
Answer:
1/9
Step-by-step explanation:
1/9 fills faster than
1/27
1/18
Answer:
a) 3/12 = 1/4
b) 6/12 = 1/2
c) 9/12 = 3/4
Step-by-step explanation:
To find the distance traveled by the hour hand, subtract the beginning position from the ending position. For example, in a, the distance traveled between 4:00 and 7:00 is three hours. Since there are 12 total hours on a clock, the fraction would be 3/12 (traveled/whole revolution). Simplify further to get 1/4.
The other two problems are very similar to the explanation above. Treat the second problem's ending time as 14:00, since it is two hours after 12:00.
Hope this helps!
