Select the correct description for the expression 5(x-7)
2 answers:
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Answer:
140
Step-by-step explanation:
To construct a subset of S with said property, we have two choices, include 3 in the subset or include four in the subset. These events are mutually exclusive because 3 and 4 can not both be elements of the subset.
First, let's count the number of subsets that contain the element 3.
Any of such subsets has five elements, but since 3 is already an element, we only have to select four elements to complete it. The four elements must be different from 3 and 4 (3 cannot be selected twice and the condition does not allow to select 4), so there are eight elements to select from. The number of ways of doing this is .
Now, let's count the number of subsets that contain the element 4.
4 is already an element thus we have to select other four elements . The four elements must be different from 3 and 4 (4 cannot be selected twice and the condition does not allow to select 3), so there are eight elements to select from, so this can be done in ways.
We conclude that there are 70+70=140 required subsets of S.
Answer:
10,000 m/square
Step-by-step explanation:
we know that
A hectare is a unit of area equal to
The symbol is Ha
<em><u>Verify each case</u></em>
case 1) 10,000 m/square
The option is true
case 2) 100 m/square
The option is false
case 3) 100,000 m/square
The option is false
Answer:
158,254.08 ft²
Step-by-step explanation:
A nonagon is a polygon with 9 sides and 9 angles. A regular nonagon has all equal sides and all equal angles. In order to find the area of a nonagon, you can use the formula:
A = where 'a' represents the length of one side
Calculating the known measurements ahead of time, we get a condensed, or simplified formula:
A = 6.1818 x a²
Using the side length of 160 ft:
A = 6.1818 x 160² = 158,254.08 ft²