Answer:
1. Not possible
2. Possible
3. 24
4. C
5. D
Step-by-step explanation:
Some key concepts to remember:
- One -to -one means each element has an element only it matches to. This is only possible when sets have the same number of elements. #1 doesn't but #2 does.
- To determine the number of one-to-one correspondence, use a factorial with the number of elements. 4 is the number and the factorial is 4! = 4*3*2*1 = 24.
- n(A) means the cardinal number of the set or the number of unique elements. Elements count only once even if they repeat. There are 5 in #4 and 12 in #5.
Answer:
The dimension of the garden is 52.5ft by 43.5ft
Step-by-step explanation:
Given
The shape above
Required
Determine PQ
Determine dimension of the garden
Calculating Length PQ
Represent the length of the inner rectangle as L
Represent the width of the inner rectangle as W
The distance between the inner rectangle and the outer triangle is 4ft
This implies that;
Substitute for
Also;
Substitute for
Calculating The Dimension of The Garden
First, we need to determine the Area of the inner rectangle
Recall that and
So;
For the bigger rectangle
Recall that and
So;
Given that the Area of the walkway is
This implies that
Substitute and
Open All Brackets
Collect Like Terms
Divide both sides by 8
Since the dimensions of the garden is and
<em>Substitute 43.5 for x in both cases</em>
<em>Hence, the dimension of the garden is 52.5ft by 43.5ft</em>
Answer:c 57
Step-by-step explanation:
Answer:
1,2,4, and the last one
Step-by-step explanation:
That's my final answer