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3 years ago

The areas of two similar octagons are 9 m² and 25 m². What is the scale factor of their side lengths? PLZ HELP PLZ PLZ PLZ

Mathematics

1 answer:

torisob [31]3 years ago

6 0

Answer:

$\frac{3}{5}$

Step-by-step explanation:

Let the side length for the octagon having 9m² as area = x

Side length for the octagon having area of 25m² = y.

Thus:

$\frac{9}{25} = (\frac{x}{y})^2$ (area of similar polygons theorem)

The scale factor of their sides would be $\frac{x}{y}$ . Which is:

$\sqrt{\frac{9}{25}} = \frac{x}{y}$

$\frac{\sqrt{9}}{\sqrt{25}} = \frac{x}{y}$

$\frac{3}{5} = \frac{x}{y}$

Scale factor of their sides = $\frac{3}{5}$

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The number of a certain company's video stores can be approximated by the linear equation y= -264x+4682, where x is the number o

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Missing co-ordinate for the ordered pair is $(7,2834)$

Y-intercept is $(0,4682)$

X-intercept is $(17.73,0)$

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The number of a certain company's video stores can be approximated by the linear equation

$y= -264\ x+4682$

where $y$ is the number of stores and $x$ represents the number of years after 1990.

To find the missing co-ordinate for the ordered pair solution $(7,?)$

For the ordered pair, we are given the $x$ value which is =7 i.e 7 years after 1990. Thus we will plugin $x=7$ in the linear equation to get the $y$ value which is number of stores after 7 years from 1990.

$y= -264\ (7)+4682$

$y= -1848+4682$

$y= 2834$

Thus the ordered pair is $(7,2834)$

To find y-intercept which is the point where the line touches the y-axis, we would plugin $x=0$ in the equation as the x-coordinate is 0 at y-axis.

$y= -264\ (0)+4682$

$y= 0+4682$

$y=4682$

Thus y-intercept is at point $(0,4682)$

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