Answer:
Subsets of the given set = 32
Proper subset of the given set = 31
Step-by-step explanation:
Given set is {18, 8, 14, 9, 6} having 5 elements.
We know number of subsets of a set having n elements are represented by
where n is the number of elements in the set.
Therefore, subsets of the given set = 
= 32
Since original set itself is a subset of its own, is not a proper subset.
Therefore, proper subset of a set = 
= 
= 32 - 1
= 31
Answer:
Step-by-step explanation:1
1/2 years which is 1 year and 5 months.
Explanation:
The formula for simple interest is
You can either substitute the given values first and the solve for
T, or you can transpose the formula to have
T as the subject.
T=100xSIPR
T=100 x 637.50
T=100×637.502500×17
T=1.5
As time is always in years, this means it was for
112 years which is 1 year and 5
months
Answer:
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Answer:
The height of the pyramid is 5m
Step-by-step explanation:
To calculate the heigth of a pyramid we have to use the following formula:
v = volume = 70 m³
w = width = 6 m
l = length = 7 m
h = height
v = (w * l * h) / 3
we replace the values that we know
70m³ = (6m * 7m * h) / 3
70m³ * 3 = 42m² * h
210m³ / 42m² = h
5m = h
The height of the pyramid is 5m
TRUE
To visualize this property, you can draw two parallel lines and cross them by a third line.
Corresponding angles are those that are in the same relative position, between the crossing line and the parallel lines. You can see that those (corresponding) angles are equal if and only if the lines are parallel.
