<span>for the first part, realize that the hour and minute hands are moving at different rates; in one hour, the minute hands moves all the way around the face of the clock, and thus moves a total of 360 degrees or 2 pi radians; the hour hand moves only 1/12 away around the clock, so covers only 30 degrees or Pi/6 radians.
Now, the LINEAR distance traveled by the tip of each hand is also determined by the length of the hand. In the case of the minute hand, it sweeps out a circle of radius 10 cm, so traces out a circle of radius 10 cm. Since the circumference of a circle is 2*pi*r, the minute hand (remember it made one complete cycle) covers a distance of 2*pi*10cm=20 Pi cm
The hour hand covers only 1/12 a circle, but that circle is only 6 cm in radius, so the distance traveled by the tip of the minute hand is:
1/12 *[2 *pi*r]=1/12*[12*pi]=pi
so the difference is 19pi
for the last part, you should draw a diagram of the two hands, the minute hand is 10 cm in length, the hour hand is 6 cm in length, and they are 30 degrees apart...from that drawing, see if you can figure out the remaining leg of the triangle you can form from them
good luck</span><span>
</span>
Answer:
12 miles in 4 hours is 3 mph
52-12=40 miles left
40 miles at 5 mph would take 8 hours
8+4=10
it took 10 hours to finish the trip.
50 I think. 2 1/2 times 20 minutes equals 50
Find the discount price and subtract from the total to find the sale price.
To find the discount price, multiply 90 b 40% (convert 40% into decimal)
90 x 0.4 = 36
Next, subtract the discount from the total to find the sale price.
90 - 36 = 54
So, the sale price is <u>$54</u>.
