Answer:
1/2, 1/4 & 3/4
Step-by-step explanation:
mean of 0 &1 is
mean of 0 and 1/2 is 
mean of 1/2 and 1 is 
So the three rational numbers are 1/2, 1/4 & 3/4
<h3>
Answer: True</h3>
Reason:
The counting numbers, aka the set of natural numbers, is the set {1, 2, 3, 4, 5, ...} which is the set of positive integers
A value like 5 is the same as 5/1, which shows it is rational.
A rational number is any fraction of two whole numbers (eg: 2/3 and 4/7). The denominator cannot be zero.
Since we can rewrite the 5 as 5/1, it can be done with any counting number to show the natural numbers is a subset of the rational numbers.
Any counting number is rational, but not the other way around.
Answer:
Traffic traveling north on Main Street must make a 125° turn onto the new road. This is the angle between where the traffic was originally headed and where it is headed after it makes the turn. Traffic on 2nd Street is traveling south, the opposite direction.
Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
