The answer is d.
Finding area of ABCD :
- Find side length
2. Apply formula to find area
Finding area of GHIA :
Finding area of DEFG :
Now, let's see whether is true.
- Area (ABCD) - Area (GHIA) = Area (DEFG)
- 25 - 16 = 9
- 9 = 9
∴ Hence, it is proved √
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:576
Step-by-step explanation:
Volume is all the sides multiplied together. 12 x 6 x 8=576
Answer:
9,-4
Step-by-step explanation:
-9×4=-36
Negative × Positive = Negative
1 hour = 60 minutes.
Convert the minutes to decimals by diving by 60
30/60 = 0.5
2 hours and 30 minutes = 2.5 hours
45/60 = 0.75
5 hours 45 minutes = 5.75 hours
15/50 = 0.25
3 hours 15 minutes = 3.25 hours
Ow add all the hours:
2.5 + 5 + 5.75 + 3.25 = 16.5 hours
Answer: B. 16.50
