Let's assume we have two sets
First set is A
second set is B
we know that
Union of two sets is the set that contains elements or objects that belong to either A or to B or to both.
So, it does not leave any element from any set
So, for union of two sets to become null , sets A and B won't have any element
For example:
set A={ }
set B= { x : for all real value of x ,x^2 +1=0 }
Since, set B won't have any elements
so,
A∪B=Ф
Yes, the union of two sets have a solution of a null set........Answer
The LCM of 20 and 300 is 300.
<h3>How to find the LCM?</h3>
The multiple of 20 will be:
20 = 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300
The multiple of 300 will be:
300 = 300, 600, 900
Therefore, the lowest common multiple of 20 and 300 is 300.
Learn more about LCM on:
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If u need anything let me k ow I don’t have enough info to answer that
17] The distance, x, between the farmhouse and water tower will be given by:
Tan θ=opposite/adjacent
adjacent=opposite/tan θ
thus:
x=500/tan 12-500/tan 16
x=500/0.2126-500/0.2868
x=608.61 yd
~609 yd
Answer: D] about 609 yd
18] The angle of depression will be:
tan θ=opposite/adjacent
thus
tan θ=0.5/13
tan θ=0.0385
θ=arctan 0.0385
θ=2.2°
19] This will be evaluated like #17 above.
Tan θ=opposite/adjacent
adjacent=opposite/tan θ
thus
x=95/tan 31-95/tan42
x=95/0.6009-95/0.9004
x=52.598
~53
answer: A] about 53
20] The horizontal length will be calculated as follows:
sin θ=opposite/hypotenuse
opposite=73 m
hypotenuse=177 m
thus
sinθ=73/177
sinθ=0.4124
θ=arcsin 0.4124
θ=24.357~24.4°
Answer: D]24.4°