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
X - shorter piece
3x - 2 - longer piece
x + 3x -2 = 18
x + 3x = 18 +2
4x = 20 | : 4
x=5
3*5 -2 = 15 - 2 = 13
shorter piece: 5 ft
longer piece : 13 ft
I hope this helps
Answer: 5.5, 2, 196
Step-by-step explanation:
Answer:
(b)
![V_2 = \frac{\pi}{4} [ \frac{(2r)^2h}{3}]](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cfrac%7B%5Cpi%7D%7B4%7D%20%5B%20%5Cfrac%7B%282r%29%5E2h%7D%7B3%7D%5D)
or 
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the volume of the cone
The volume of a square pyramid is:
Where
a = base dimension
From the attachment, the base dimension of the square pyramid is 2r.
So:
The volume becomes;
To calculate the volume of the cone, we simply multiply the given ratio and the volume of the prism.
So, we have:
Open bracket;
Cancel out 4
The above can be written as:
So, we have:
or
Kaleerain5,
In order to get your answer you must remember that if the exponent is negative move to the left and if the exponent is positive you have to move to the right.
- The exponent is negative so move to the left:
Therefore your answer is ".000857."
Hope this helps!
