Used to flavor vanilla ice cream and other foods) is the substance whose aroma the human nose detects in the smallest amount. the threshold limit is 2.0 x 10-11 g per liter of air. if the current price of 50.0 g of vanillin is $104, determine the cost to supply enough vanillin so that the aroma could be detected in a large aircraft hangar with a volume of 5.95 x 107 ft. guided solution

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Ответ:

cyaransteenberg

15.05.2021

Mathematics

Scale factor = $\frac{2}{3}$

Step-by-step explanation:

Let x be scale factor.

Since we know that the dilation of a figure changes all the sides of figure with same scale factor.

Let us find scale factor of dilation applied to quadrilateral ABCD to create AB'C'D'.

Let us find side length of AD and AD' using distance formula.

$\text{Distance}=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

$\text{Length of AD}=\sqrt{(1-1)^{2}+(4-7)^{2}}$

$\text{Length of AD}=\sqrt{(0)^{2}+(-3)^{2}}$

$\text{Length of AD}=\sqrt{9}=3$

Now let us find length of side AD'.

$\text{Length of AD'}=\sqrt{(1-1)^{2}+(5-7)^{2}}$

$\text{Length of AD'}=\sqrt{(0)^{2}+(-2)^{2}}$

$\text{Length of AD'}=\sqrt{4}=2$

The scale factor (x) times the length of AD will be length of AD'.

$3\cdot x=2$

$x=\frac{2}{3}$

Therefore, dilation by a scale factor of 2/3 is applied to ABCD to create AB'C'D'.

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