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.
Algebra -> Polygons<span> -> SOLUTION: </span>Each exterior angle<span> is 100º </span>less than<span> its </span>interior angle<span> of ...</span>180<span>-x = </span>measure<span> of the corresponding </span>exterior angle<span> in degrees. </span>At each<span> vertex, there is an </span>interior angle<span> of </span>the polygon. ... The sum of the angles in those triangles (180+180<span>=360) is the same as the sum ... If a regular </span>polygon<span> has x sides, </span>then<span> the degree </span>measure<span>of </span>each exterior angle<span> is 360 divided by x.
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Answer:
First option: 
Step-by-step explanation:
Multiply both sides by y:
The area of the two triangular bases is
(total base area) = 2×(1/2)bh
= bh
= (10 m)(6 m) = 10·6 m² = 60 m²
The area of the three rectangles making up the remaining faces of the prism is
(total lateral area) = length×base + length×height + length×hypotenuse
= length×(base + height + hypotenuse)
= (16 m)(10 m + 6 m + 11.6 m)
= (16 m)(27.6 m) = 16·27.6 m² = 441.6 m²
Then the surface area of the prism is the sum of these
surface area = total base area + total lateral area
= 60 m² + 441.6² = 501.6 m²
When rounded to the nearest whole number, this is
A) 502 m²
The number of hardback books that are on the bookshelf is 29 books.
- Let the total number of books be T.
- Let the number of hardback books be H.
- Let the number of paperback books be P.
<u>Given the following data:</u>
- Total number of books = 36 books
To determine the number of hardback books that are on the bookshelf:
Translating the word problem into an algebraic expression, we have;
The total number of books is:
The number of hardback books is 15 more than <u>twice</u> the number of paperback books:
Substituting the given parameters into the formula, we have;
P = 7 books
For number of hardback books:
H = 29 books
Read more on word problem here: brainly.com/question/24604067
