Answer:
![\large\boxed{V=75\ in^3}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BV%3D75%5C%20in%5E3%7D)
Step-by-step explanation:
The formula ogf a volume of a pyramid:
![V=\dfrac{1}{3}BH](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7DBH)
B - area of a base
H - height
We have a base length a = 5 in and a height H = 9 in.
In the base we have a square. The formula of an area of a square is:
![B=a^2](https://tex.z-dn.net/?f=B%3Da%5E2)
Substitute:
![B=5^2=25\ in^2](https://tex.z-dn.net/?f=B%3D5%5E2%3D25%5C%20in%5E2)
Calculate the volume:
![V=\dfrac{1}{3}(25)(9)=(25)(3)=75\ in^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%2825%29%289%29%3D%2825%29%283%29%3D75%5C%20in%5E3)
The answer is B! Ive past my test for this task.
the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x. Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set. if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times. This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
Answer:1
Step-by-step explanation: