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2 years ago

Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support your answer

Mathematics

1 answer:

kotegsom [21]2 years ago

3 0

Answer

x=2 and y=2√2

Step-by-step explanation:

$\sin( \alpha ) = \frac{2 \sqrt{2} }{x } \\ x = \frac{2 \sqrt{2} }{ \sin(45) } \\ x = 4 \\ {x}^{2} = {y}^{2} + 2 \sqrt{2} \\ {4}^{2} = {y}^{2} + (2 \sqrt{2 \: )}^{2} \\ 16 = {y}^{2} + 8 \\ 16 - 8 = {y}^{2} \\ y = \sqrt{8} \\ y = 2 \sqrt{2}$

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How to find a outliers<br>

Liula [17]

Answer: It is something that is really far away from the rest of your data

Step-by-step explanation: for example find the outlier: -1 2 3 7 10 20 the outlier is 20

6 0

3 years ago

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

ahrayia [7]

Answer:

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

Y-intercept is $(0,4682)$

X-intercept is $(17.73,0)$

Step-by-step explanation:

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 $(0,4682)$

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