True, correct. The universal set
U
is characterized by ∀:∈
∀
x
:
x
∈
U
. Taking the complement yields a set
U
c
that is characterized by ∀:∉
∀
x
:
x
∉
U
c
. This is equivalent to the statement ¬∃:∈
¬
∃
x
:
x
∈
U
c
and hence
U
c
is an (the) empty set. (Depending on your theory, there may not be a unique empty set.)
Answer:
area : 63.9
b : 14.2
write equation of area of a triangle
Step-by-step explanation:
area:. 1/2 × B x H
solve for H : H= _2x_area_
B
Substitude values : _H = _2×63.9___
14.2.
Evaluate : H = 9
Answer:
12
Step-by-step explanation:
Given two fractions:
One - fourth and Five - Sixths.
To find:
The common denominator that can be used for the given fractions.
Solution:
First of all, let us have a look at the given fractions:
First fraction is:

Second fraction is:

The denominators of the fractions are 4 and 6.
To find a common denominator, we need to take LCM (Least Common Multiple) of the two denominators.
LCM is the least number which is divisible by the two numbers.
Let us find the LCM by factorization method.
4 = <em><u>2</u></em>
2
6 = <em><u>2</u></em>
3
The common number are taken once and other number which are not common are taken as it is.
So, the LCM is <em><u>2</u></em>
2
3 = <em>12</em>
The numbers can be written as:

Therefore, <em>12</em> can be used as the common denominator.
Answer:
D
Step-by-step explanation:
The formula for volume of cone is 
Where
V is the volume
r is the radius of the circular base
h is the height of the cone
<em>In the diagram shown, we can clearly see that height is 12, radius is 9. We can simply plug them into the formula and get our exact answer (leaving pi as pi):</em>
<em>
</em>
<em />
<em>correct answer is D</em>
Answer:

Step-by-step explanation:
(Interpreting equation as)

We can reduce the fraction by dividing the top and the bottom by terms they have in common.
First, lets rewrite both the numerator and denominator in terms of each other.

If you expand the fraction, you will get exactly what you start with, now this is fine.
As we can see both halves of the fraction have a common term (
), so we can divide by this - and the fraction will still be equivalent to as it was before
, or simplified further,
