Answer:
Step-by-step explanation:
The circumference of the tree is the distance around the tree's circular top. The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
If the tree has a circumference of 16 ft, it means that
2πr = 16
πr = 16/2 = 8
r = 8/π
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
if the tree is 10ft tall, then the volume of wood it contains is
Volume = π × (8/π)² × 10
Volume = 64/π × 10
Volume = 64/3.14 × 10
Volume = 204 cubic feet
Answer:
Step-by-step explanation:
The given initial value problem is;
Let
Differentiating both sides of equation (1) with respect to 
, we obtain:
Differentiating both sides of equation (2) with respect to gives:
From equation (1),
Putting t=0 into equation (2) yields
Also putting t=0 into equation (3)
The system of first order equations is:
The answer is 3(5x+2) i hope this helps you.
Answer: 81 units²
Step-by-step explanation: To solve this problem, remember that the formula for the area of a square is 4s.
Therefore, since the perimeter of the given square is 36, we have 36 = 4s and dividing both sides by 4, 9 = s.
Now, remember that the formula for the area of a square is s² and since the length of a side of the given square is 9, we have (9)² or 81.
So the area of a square that has a perimeter of 36 is 81 units².
Answer:
t = 6 km/hour
And, J would be 4 km per hour
Step-by-step explanation:
Let us assume the speed of Tom be T
And, the Speed of Jim be J
Given that
T - J = 2 km /hr ...........(i)
After 3 hours distance between them = 30 km
As they are walking in the opposite direction
Thus,
Net speed =T + J
L ÷ (T+J) = 3
30 ÷ (T+J) = 3
T +J =10 ..............(2)
After solving these two equations
2T = 12
t = 6 km/hour
And, J would be 4 km per hour
