45/15 which equals 3 3/14 as a mixed number
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
Answer:
No solution
Step-by-step explanation:
By bisector theorem: the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle
y/8 = 8/2
y = 32 .... sum of the length of 2 sides of triangle must be larger than the 3rd side, 8+2+8 = 18 < 32
y can only has a value < 18
If we use Law of Sines also get y = 32 ... not forming a triangle
Answer:
The graph in the bottom right (The circle) is not a function
Step-by-step explanation:
As the circle has multiple y values for each x value, it is not a function. In other words, that graph fails the vertical line test.
I)
Every 8.th voter gets a button:
so a sequence of the voters who receive a button is:
8, 16, 24, 32, .... that is 8*1, 8*2, 8*3, 8*4, .... in general: 8k for some integer k
ii)
Every 10.th voter gets a sticker, so the voters who receive stickers are the :
10, 20, 30, 40, .... voters that is 10*1, 10*2, 10*3, 10*4... in general 10t
for some integer t
iii) what we are looking for is the first number which is 8k and 10t at the same time.
8k=2*2*2k,
10t=2*5t
Thus this number must be divisible by 2*2*2*5*{some positive integer}
the smallest number is when the positive integer is 1, thus the number is
2*2*2*5=8*5=40
Answer: g. the 40th
