With 5 elements in A={20,1,6,10,11}, there are 2^5=32 possible subsets, including
the null set, and A itself.
Any subset that is identical to A is NOT a proper subset.
Therefore there are 31 proper subsets, plus the subset {20,1,6,10,11}.
The subsets are:
null set {} (has no elements) ........total 1
{20},{1},{6},{10},{11}.......................total 5
{20,1},{20,6}...{10,11}.....................total 10
{20,1,6},{20,1,10},...{6,10,11}.........total 10
{20,1,6,10}...{1,6,10,11}.................total 5
{20,1,6,10,11}.................................total 1
Altogether 32 subsets.
Answer:
12.5 miles per hour
Step-by-step explanation:
1,100 ft/min * (60 min)/(1 hr) * (1 mile)/(5280 ft) = 12.5 miles/hr
Answer:
The Radius
Step-by-step explanation:
Answer:
Algebra 1 = 12 books
Algebra 2 = 5 books
Geometry = 6 books
Step-by-step explanation:
Given
Represent
<em>Algebra 1 with A</em>
<em>Algebra 2 with B</em>
<em>Geometry with C</em>
For the quantity
To represent the weight, we have that:
This gives:
The last sentence in the question can be represented with:
So, the expressions to work with are
--- (1)
--- (2)
--- (3)
Substitute A - 1 for B + C in (1)
Solve for 2A
Solve for A
Substitute 12 for A in the (2) & (3)
---- (4)
Make C the subject
----- (5)
Substitute 11 - B for C in (4)
Collect Like Terms
Solve for B
Substitute 5 for B in (5)
Answer:
32 degree
Step-by-step explanation:
sum of angles in a triangle=180