A diver shines a flashlight upward from beneath the water at an angle of 46.5 degrees to the vertical.

1 answer:

7 0

θi=sin−1(μsinθr)
=sin−1(1.33×sin46.5)
=74.7degrees

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DEF is A dilatation of ABC by scale factor of 1/3

slega [8]

I am pretty sure the answer would be (a)

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4 years ago

Write the matrix equation as a system of linear equations without matrices. [Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column

ASHA 777 [7]

Answer:

$x-2y-4z=8\\5x-4y+7z=5\\-7x+5y+2z=-3$

Step-by-step explanation:

Given the matrix equation below:

$\left(\begin{array}{ccc}1&-2&-4\\5&-4&7\\-7&5&2\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}8\\5\\-3\end{array}\right)$

We are required to write the matrix equation as a system of linear equations without matrices.

$\left(\begin{array}{ccc}1&-2&-4\\&&\\&&\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}8\\&\\&\end{array}\right)$is equivalent to: x-2y-4z=8$

$\left(\begin{array}{ccc}\\5&-4&7\\&&\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}&\\5\\&\end{array}\right)$ is equivalent to: 5x-4y+7z=5$

$\left(\begin{array}{ccc}&\\&\\-7&5&2\end{array}\right)\left(\begin{array}{ccc}x\\y\\z\end{array}\right) =\left(\begin{array}{ccc}&\\&\\-3\end{array}\right)$ is equivalent to: -7x+5y+2z=-3$