The volume is 214*8*2012
=3,444,544
By comparing the perimeters, we can deduce the scaling factor:
The areas scale with the square of the scaling factor, so the new area is
Answer:
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Step-by-step explanation:
The total cost of the meal is $37.80
Given:
Food bill = $30
tip = 20%
sales tax = 6%
Tip and sales tax must be based on the food bill.
Tip = $30 x 20% = $6
Sales Tax = $30 x 6% = $1.80
Food bill : 30.00
Tip 6.00
Sales tax <u> 1.80</u>
Total cost 37.80
Here the denominators are quadratics , so we need to factorise them first
1/(x²-5x) +3/(x²+2x-35)
factorising x²-5x ,
here GCF is x, so taking x out we have
x(x-5)
factorising x²+2x-35 using AC method,
we find factors of -35 that add up to give 2
(x-5)(x+7)
Since we have x-5 common in both denominators, so lcd of the rational expression will be product of x(x-5)(x+7)
lcd is x(x-5)(x+7)