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}
20% * 300 = 2 * (10% * 300) = 2*30 = 60
An exponent is the number or value being raised to a power.
Answer:
The third side is sqrt(77)
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
2^2 + b^2 = 9^2
4+ b^2 = 81
Subtract 4 from each side
b^2 = 81-4
b^2=77
Take the square root of each side
sqrt(b^2) = sqrt(77)
b = sqrt(77)
The third side is sqrt(77)
Hey there! :)
Answer:
C. BC = 39 units.
Step-by-step explanation:
Use the Pythagorean theorem to solve for BC. Let BC = c, AB = a, and AC = b.
c² = a² + b²
c² = 15² + 36²
Square and simplify:
c² = 225 + 1296
c² = 1521
c = √1521
c = 39 units.
Therefore:
BC = 39 units.
