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Mathematics

1 answer:

Ghella [55]2 years ago

3 0

To start off, let's do the rectangle. So 3 times 6 is 18ft^2. One step done. Now we have to find the area of the triangle and add it to our other area to get the total area. The area of triangle is A=BH1/2. So since we used 3ft already, we have to subtract 15-3 which is 12. Since the length of the triangle does not extend all the way, we add 6 to 6, which is 12 ft. Now we can multiply 12 times 12, which is 144 ( according to A=BH times 1/2). Now we have to multiply 144 by 1/2, which is 144/2, which is 72ft^2. Now we can add the area of the rectangle by the area of the triangle to get the total area of the figure. So 72ft^2 * 18ft^2= 90ft^2. Therefore, the area of the entire figure is 90ft^2.

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How many ways are there to select five unordered elements from a set with three elements when repetition is allowed?

Zolol [24]

The number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed is 243.

According to the given question.

The total number of elements, n = 3

The number of elements to be selected at a time when repetition is allowed, r = 5

Since, we know that " the number of ways or permutations of n things taken r all at a time, when repetition of things are allowed, is $n^{r}$ .