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3 years ago

Help geometry will give brainliest

Mathematics

2 answers:

UkoKoshka [18]3 years ago

7 0

The angle of depression is congruent to your angle of elevation (the squirrel's line of sight. These are opposite angles. You use SOH CAH TOA to find the missing information because this forms a right triangle. SO you are really trying to solve for the hypotenuse here.
You are given the "side" opposite the angle. souse the SOH part Sine=opposite/hypotenuse
so when you plug in the information you get this equation:
sin(50)=14/x
divide both sides by sin(50) and you should get
a hypotenuse of approx. 18.3

Mars2501 [29]3 years ago

4 0

The distance from the owl to the squirrel would be found by using the law of sins/co-sins

Cos (known angle) = adjacent leg / hypotenuse ( distance wanted)

cos(50) = 14 / x

x = 14 / cos50

x = 21.78 feet

The problem doesn't say if the answer should be rounded or not. You may have to round the answer if needed.

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Which matrix represents the system of equations shown below? 3x-5y=12 4x-2y=15

tatuchka [14]

Answer:

$\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right]$

Step-by-step explanation:

When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:

a column for the values of x in each equation
a column for the values of y in each equation
a column for the independent values of each equation

since our system of equations is:

$3x-5y=12\\ 4x-2y=15$

we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:

$\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right]$

Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:

$\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right]$

Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:

$\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right]$

usually there is a line separating the columns for the values of x and y, and the independent values:

$\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right]$

this is the matrix of the system of equations

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