A rectangles width is 4 less than its area and its length is 19. what is it’s width?
1 answer:
The width of the rectangle is unit
Step-by-step explanation:
The given is:
- A rectangles width is 4 less than its area
- Its length is 19 units
We need to find the width of the rectangle
Assume that the width of the rectangle is x units
∵ The area of the rectangle = length × width
∵ The width of the rectangle = x units
∵ The length of the rectangle = 19 units
∴ The area of the square = 19 × x = 19 x units²
∵ The width of the rectangle is 4 less than its area
- That means subtract 4 from the area to find the width
∴ x = 19 x - 4
- Subtract 19 x from both sides
∴ -18 x = -4
- Divide both sides by -18
∴ x =
- Reduce the fraction by dividing up and down by -2
∴ x =
The width of the rectangle is unit
Learn more:
You can learn more about the rectangles in brainly.com/question/12919591
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Answer:
We want to find:
Here we can use Stirling's approximation, which says that for large values of n, we get:
Because here we are taking the limit when n tends to infinity, we can use this approximation.
Then we get.
Now we can just simplify this, so we get:
And we can rewrite it as:
The important part here is the exponent, as n tends to infinite, the exponent tends to zero.
Thus: