<span>perimeter of a rectangular rug is 30 yd
P= L+L+W+W
</span><span>P= 9+9+W+W
P= 18 + 2W
</span><span>18 + 2W = 30
2W = 30-18
</span><span>W= 12/2 = 6
A= L x W
A= 9 x w
</span><span>A= 9 x 6 = 45 yd square</span>
Answer:
the probability is 4/9 (44,44%)
Step-by-step explanation:
Assuming that each point inside the square is equally probable, then the probability is uniformly distributed in area of the square. Thus
probability = area where condition is true / total area of the square
for a circle of radius 1/3 inside the square ,the area where this condition is satisfied is a square with sides 1-1/3 = 2/3 , thus
probability = (2/3)²/1² = 4/9
thus the probability is 4/9 (44,44%)
Answer:
The screen shot is the answer.
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Answer:
60 km/hr
Step-by-step explanation:
First we will determine the speed of the bus following it's increase. The speed is increased by:
50m/9sec=50.60.60/9/1000 .km/hr=20 km/hr
Therefore, the new speed is V = 50 + 20 + = 70
km/hr. If x is the number of hours according to the schedule, then at the speed of 50 km/hr the bus travels from A to B within ( x + 42/60 ) hr. When the speed of the bus is V = 70 km/hr, the travel time is x -30/60 hr. Then:
50(x+42/60)=70(x-30/60)
5(x+7/10)=7(x-1/2)
7/2+7/2=7x-5x
2x = 7
x=7/2 hr
So, the bus is scheduled to make the trip in 3 he 30 minutes.
The distance between the two towns is 70 ( 7/2 – 1/2 ) = 70 • 3 = 210 km and the scheduled speed is:
270/7/2=60km/hr