Find the area in this picture
1 answer:
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<h3>Answer: 297 square cm</h3>
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Work Shown:
Break up the figure as shown in the diagram below.
A rectangle and trapezoid form
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Area of rectangle = base*height = 9*15 = 135 cm^2
Area of trapezoid = (1/2)*(b1+b2)*h = (1/2)*(18+9)*12 = 162 cm^2
total area = (area of rectangle)+(area of trapezoid)
total area = (135) + (162)
total area = 297 square cm
Answer:
The total number of different arrangements is 560.
Step-by-step explanation:
A multiset is a collection of objects, just like a set, but can contain an object more than once.
The multiplicity of a particular type of object is the number of times objects of that type appear in a multiset.
Permutations of Multisets Theorem.
The number of ordered n-tuples (or permutations with repetition) on a collection or multiset of objects, where there are
kinds of objects and object kind 1 occurs with multiplicity
, object kind 2 occurs with multiplicity
, ... , and object kind
occurs with multiplicity
is:
We know that a boy has 3 red, 2 yellow and 3 green marbles. In this case we have n = 8.
If marbles of the same color are indistinguishable, then the total number of different arrangements is