Answer:
(a) false
(b) true
(c) true
(d) true
(e) false
(f) true
(g) false
(h) true
(i) true
Step-by-step explanation:
(a) 15 ⊂ A, since 15 is not a set, but an element, we cannot say of an element to be subset of a set. False
(b) {15} ⊂ A The subset {15} is a subset of A, since every element of {15}, that is 15, belongs to A.
15 ∈ {15} and 15 ∈ { x ∈ Z: x is an integer multiple of 3 } 15 is an integer multiple of 3. since 15/3=5. True
(c)∅ ⊂ A
∅ is a subset of any set. True
(d) A ⊆ A
A is a subset of itself. True
(e)∅ ∈ B
∅ is not an element, it is a subset, so it does not belong to any set. False
(f)A is an infinite set.
Yes, there are infinite integers multiple of 3. True
(g)B is a finite set.
No, there are infinite integers that are perfect squares. False
(h)|E| = 3
The number of elements that belong to E are 3. True
(i)|E| = |F|
The number of elements that belong to F are 3. So is the number of elements of E. True
Answer:
AC and BD are vertically oposite
and both sides are equal (equilateral) so AC = BD
As i think
Given:
In the given ΔXYZ,
Base = 22
Height = 23.1
Also,
Base = 31.9
Height = 15.9
To find the area of the given ΔXYZ.
Formula
The area of a triangle is
where, b be the base and
h be the height.
Now,
Taking, b = 22 and h = 23.1 we get,
sq unit
Again,
Taking,
b = 31.9 and h = 15.9 we get,
sq unit
Therefore,
We can find the approximate area of the triangle by following two expression
a) 
and
b) 
Answer: 10, 1/10, 2/5
Step-by-step explanation:
Answer:
3 Blue Umbrellas
Step-by-step explanation:
Given
From the question, we have:
---- i.e. 6 are not blue
---- i.e. 6 are not yellow
---- i.e. 6 are not red
Required
The number of blue umbrellas
Make B the subject in:
Substitute: in
Collect like terms
Rewrite:
Substitute in
Divide both sides by 2
Recall that:
