Answer: Most likely A
Step-by-step explanation:
the reason I say its A is because of the face that congruent means in line not and straight. Though in your answer it shows that they are not alined so that leaves us with complemantary and the 2 complementary answer choices are
A & C but C is wrong because it say alternate which also means the that they would be 2 different angels so yeah I'm gonna go for A.
Good luck :)
Answer: { x | 5 < x ≤ 100 } OR { x ∈ ℝ | 5 < x ≤ 100 }
Step-by-step explanation:
{ x | 5 < x ≤ 100 }
This means:
"The set of all x's, such that x is greater than 5 and less than or equal to 100"
Another acceptable way to write this is
{ x ∈ ℝ | 5 < x ≤ 100 }
"x ∈ ℝ" simply means x is an element of all real numbers
Answer:
4/3
Step-by-step explanation:
To know this, let's write down the formulas for the volume of cylinder and sphere.
Vs = 4/3πr³ (1)
Vc = π r² h (2)
Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:
Vs / Vc = 4πr³ / 3πr²h
Vs/Vc = 4πr³ / 3πr³
From here, we can cancel out the values of π and r³:
Vs/Vc = 4/3
<h2>
Vs = 4/3 Vc</h2>
Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.
Hope this helps
