1liter=1000ml
1.75l=1750ml
1800ml>1750ml
1800ml is bigger
You can find the value of the hypotenuse if you apply the Pythagorean Theorem, which is show below:
h²=a²+ b² ⇒ h=√(a² + b²)
h: hypotenuse (the opposite side of the right angle and the longest side of the triangle).
a and b: legs (the sides that form the right angle).
Then, you have:
h²=a² + b²
h²=12²+12²
h=√ ((12)² + (12)²)
h=12√2
What is the lenght of the hypotenuse?
The answer is: The length of the hypotenuse is 12√2
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
