A= 1.142 m/hr
Width of beach at 8 p.m. = 36 m
Width of beach at 3 a.m. = (36-8) m =28 m
Average change in width(A) = change in width (Width of beach at 8 p.m.-Width of beach at 3 a.m.0/ time in hours
A= ( 36-28)/ 7
A= 8/7 m/hr
A = 1.142 m /hr
Since
, it follows that
where the sign depends on the location of the terminal side of the angle. Since the terminal side lies in the fourth quadrant, that means the cosine of the angle is positive, so
Answer:
2/105
Step-by-step explanation:
"r" is the greatest common divisor (GCD) of the two fractions. It can be found using Euclid's algorithm in the usual way.
(8/15) - (18/35) = 56/105 - 54/105 = 2/105 . . . . . this is (8/15) mod (18/35)
We can see that the next step, division of 54/105 by 2/105, will produce a remainder of 0, so the GCD is 2/105.
The greatest rational number r is 2/105.
_____
<em>Check</em>
The ratios are (8/15)/(2/105) = 28; (18/35)/(2/105) = 27. These whole numbers are relatively prime, so there is no larger r than the one we found.
Step-by-step explanation:
Against the wind, the wind works against the speed. With the wind, the wind aids the speed.
4(p - w) = 2416
4(p + w) = 2896
p - w = 604
p + w = 724
2p = 1328
p = 664 mph
664 + w = 724
w = 60 mph
10+10=20 = length
20 + 18 = 38 width = 18 or 9 on each side
10 x 9 = 90
Answer 90
