Consider the universal set U and the sets X, Y, Z. U={1,2,3,4,5,6} X={1,4,5} Y={1,2} Z={2,3,5} What is (Z⋃X′)⋂Y?
beks73 [17]
X' = U - X
= {1,2,3,4,5,6} - {1,4,5}
= {2,3,6}
(ZUX') = {2,3,5} U {2,3,6}
= {2,3,5,6}
(Z⋃X′)⋂Y = {2,3,5,6} ⋂ {1,2}
= {2}
Answer:
60.9º
Step-by-step explanation:
tan = opp/adj
tanX = 45/25
X = arctan 45/25
use calculator
X = 60.945395900922855
Rounded
60.9º
Hey there!
According to our customary units of miles, 1 mile is equal to 5,280 feet - and 3 feet is a yard. That means, we have to divide 5,280 by 3 to figure out how many yards are in a mile:
5280/3 = 1760
That means that one mile is 1760 yards. But we're not finished yet. It says 1/5 miles, not one mile. Therefore, we take one half of the total distance in yards of a mile and add it to that 1760, because it's 1.5, or 1-and-a-half. Which, in technical terms means "1-plus-a-half".
We have:
1760 + 1760/2 = 1760 + 880 = 2640
Therefore, 1/5 miles, since it's 2640 yards, is greater than the 2500 yards specified in the question.
Hope this helps!
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
The factors are 1 2 3 4 6 and 12