Answer:
180 in2
Step-by-step explanation:
surface areas of similar solids are proportional to the square of their corresponding sides
area of larger/90 = 10^2/5^2
area of larger = 90(100/25) = 180 in^2
Step-by-step explanation:
πrxrxh
3.14 x 3.5 x 3.5 x 10 = 384.65
3.14 x 2 x 2 x 6 = 75.36
We are to show that if X ⊆ Y then (X ∪ Z) ⊆ (Y ∪ Z) for sets X, Y, Z.
Assume that a is a representative element of X, that is, a ∈ X. By the definition of union, a ∈ X ∪ Z. Now because X ⊆ Y and we assumed a ∈ X, then a ∈ Y by the definition of subset. And because a ∈ Y, then a ∈ Y ∪ Z by definition of union.
We chose our representative element, a, and showed that a ∈ X ∪ Y implies that a ∈ Y ∪ Z and this completes the proof.
Sixty two million, one hundred thirty two thousand, two hundred seventy four
Answer:
4.5
Step-by-step explanation:
To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that 
. Plugging in the values of the two legs given, we get 
. We can take the square root of each side and get that 
.
