Answer:
Step-by-step explanation:
Let x be the track straights lengths
Let y be the track ends diameter and the other rectangle side lengths.
1800 = 2x + πy
y = (1800 - 2x) / π
A = xy
A = x((1800 - 2x) / π
A = (1/π)(1800x - 2x²)
dA/dx = (1/π)(1800 - 4x)
0 = (1/π)(1800 - 4x)
0 = 1800 - 4x
4x = 1800
x = 450 m
y = (1800 - 2(450)) / π
y = 900/π or approximately 286.5 m
Option b is the correct answer
Step-by-step explanation:
QR = 1.5
TS = 2
TP = 3.8
RS = 1.4
PQ = 2.6
Answer:
3.5 miles
Step-by-step explanation:
Lydia:
3 gallons of gas = 114 miles
We want to know how many miles a friend can travel on one gallon of gas, so we divide both sides by 3
1 gallon of gas = 114/3 miles = 38 miles
Lucy:
One point is
10x corresponds to 415y
10 gallons = 415 miles
divide both sides by 10 to get one gallon on a side
1 gallon = 41.5 miles
Lydia:
38 miles = 1 gallon
Lucy:
41.5 miles = 1 gallon
For 1 gallon, the difference is 3.5 miles, with Lydia having 3.5 miles less than Lucy.
Answer:
78.54 is the radius of a circle of 5 inches
Step-by-step explanation:
the formula of the area of a circle is
A = πr^2
When you multiply 5 times 5, you get 25. Then, multiply 25 by pi to recieve 78.54 rounded to the nearest hundredth.
