Answer:
She realised $12 from selling 8 bags of caramel corn
Step-by-step explanation:
Given
(8, 12)
Required
Determine what it means based on the available information
A function is always written as (x,y)
Where x is dependent on y
By comparison,
x = bags of caramel corn = 8
y = amount realised = 12
Assuming the currency is in dollars
Conclusively,
She realised $12 from selling 8 bags of caramel corn.
Answer:
0.010
Step-by-step explanation:
24ft is the hypotenuse, at an angle of 75<span>⁰, and we need to find the adjacent.
We use cos(), which is adjacent divided by hypotenuse.
Therefore, we can find the adjacent by doing:
25 * cos(75) = 6.47ft
Round the answer however you like.</span>
Answer:
Part 1) The length of the longest side of ∆ABC is 4 units
Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is ![\frac{1}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D)
Step-by-step explanation:
Part 1) Find the length of the longest side of ∆ABC
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
The ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
x ----> the length of the longest side of ∆ABC
y ----> the length of the longest side of ∆DEF
so
![z=\frac{x}{y}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![z=\frac{1}{10}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B1%7D%7B10%7D)
![y=40\ units](https://tex.z-dn.net/?f=y%3D40%5C%20units)
substitute
![\frac{1}{10}=\frac{x}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D%3D%5Cfrac%7Bx%7D%7B40%7D)
solve for x
![x=(40)\frac{1}{10}](https://tex.z-dn.net/?f=x%3D%2840%29%5Cfrac%7B1%7D%7B10%7D)
![x=4\ units](https://tex.z-dn.net/?f=x%3D4%5C%20units)
therefore
The length of the longest side of ∆ABC is 4 units
Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of ∆ABC
y ----> the area of ∆DEF
![z^{2}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![z=\frac{1}{10}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B1%7D%7B10%7D)
so
![z^2=(\frac{1}{10})^2](https://tex.z-dn.net/?f=z%5E2%3D%28%5Cfrac%7B1%7D%7B10%7D%29%5E2)
![z^2=\frac{1}{100}](https://tex.z-dn.net/?f=z%5E2%3D%5Cfrac%7B1%7D%7B100%7D)
therefore
The ratio of the area of ∆ABC to the area of ∆DEF is ![\frac{1}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D)
the answer to the question is 72.500