Answer:

Step-by-step explanation:

The radius is 6 feet. The radius will always be half of whatever the diameter is
Answer:
2.5 miles
Step-by-step explanation:
Answer:
Father's age is 50, Son's age is 10
Step-by-step explanation:
X+Y=60
X-Y= 40
Let X represent the Father's age while Y represents the Son's age;
therefore, from the two equations, the value of X is
X= 60-Y
X= 40+Y then putting in the value of x
(40+Y) + Y= 60,
40+2Y=60
2Y=60-40 =20
Y= 10,
Now that we know the value of Y, we can get the value of x
If X+Y=60, then
X+10=60,
X=60-10,
X= 50
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches