1) Given: ds / dt = 3t^2 / 2s
2) Separate variables: 2s ds = 3t^2 dt
3) Integrate both sides:
∫ 2s ds = ∫ 3t^2 dt
s^2 + constant = t^3 + constant
=> s^2 = t^3 + constant
=> s = √ (t^3 + constant)
Answer: option B.
Answer:
X= 5/3
Step-by-step explanation:
10$ because i worked it out and valedictorian in my math class so listen to me yeah
Answer:
x = 18
18√2
Step-by-step explanation:
This is a special right triangle with angle measures 45° 45° 90°
in this special triangle the side lengths are expressed as a, a, and a√2
So x = a and x = 18
r = a√2 and r = 18√2
Answer:
The three iron rods cannot be placed together to form a triangle.
Step-by-step explanation:
We have been given that James has three iron rods. Rod A is 3 feet long, rod B is 8 feet long, and rod C is 13 feet long. We are asked to determine whether the lengths of all rods can be used to form a triangle.
We will use triangle inequality theorem to solve our given problem.
Triangle inequality theorem states that sum of two sides of a triangle must be greater than 3rd side.
Using triangle inequality theorem, we will get inequalities as:




We can see that our 2nd inequality is not true because 11 is not greater than 13.
Since sum of two sides is not greater than 3rd side, therefore, the three iron rods cannot be placed together to form a triangle.