Answer:
n(B)=21.
Step-by-step explanation:
n(AUB) means the the number of elements in both A & B. And that includes the ones in common too.
n(A∩B) means the ones that in common.
n(A-B) refers to the elements that belong to A alone. That means the elements in A excluding the common elements.
n(B) is the number of elements that belong to B and that includes the common ones too.
Now coming to your question.
The total number of elements that can fit in both the sets is 36.
While the number of common elements is 16.
And also given that n(A-B)=15.
Now according to the definitions above....n(A) should include the ones that belong exclusively to A alone and also the ones in common.
So,
n(A)=n(A-B)+n(A∩B)
=15+16
=31
Therefore, n(A) is 31.
Now when n(AUB) is 36 and n(A) is 31, it is clear that the elements exclusive to B alone is 5, i.e.36-31.
Now n(B)=n(A∩B)+n(B-A)
Therefore, n(B) is 16+5 = 21.
n(B)=21.
It could be 190 because its a half measure
Answer:
The area is 154 cm²
Step-by-step explanation:
Since the formula for the area of a circle is pi times the radius squared, divide the diameter in half to get the radius (7). Then, square the radius (49). Next, multiply that by pi (153.938). After that round to the nearest whole number (154). Hope that helps!
-Kyra
I used a calculator and got <span>4.3649984e+14</span>
