Answer: 12 inches
Step-by-step explanation: In this problem, since we're asked to find the length of the median, let's use our formula for the area of a trapezoid that involves the median which is shown below.
Area = median · height
We know that the area is 144 and the height is 9 so we can set up the equation 144 = M · 12. Now to solve for <em>m</em>, we divide both sides of the equation by 12 and we find that 12 = M.
So the length of the median of the trapezoid is 12 inches.
Answer:
jn;,kjkml,;.,;mnbnl,;vctgkhlkl;;ugbjkl;;
Step-by-step explanation:
The matrix that represents this system takes the x coordinates and puts them in a column and then the y coordinates and puts them in a column and then the solutions in another. Like this: ![\left[\begin{array}{ccc}7&8\\-3&9\\\end{array}\right] =\left[\begin{array}{ccc}28\\-24\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%268%5C%5C-3%269%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D28%5C%5C-24%5Cend%7Barray%7D%5Cright%5D%20%20)
. That's what your matrix would look like.
Alright to solve this problem you must start by distributing the -1 to everything in the parenthesis. To distribute, multiply both the m variable and the 3 by a -1.
This simplification results in:
34 = -m - 3
Next, isolate your -m. To do this, add 3 on both sides of the equal sigh to keep everything balanced.
This gives you:
37 = -m
Since you want to find the value of m and not -m, flip the sign of the value in your answer by moving the negative parenthesis to the integer rather than the variable.
Like this: -(37) = m
Then, distribute the negative to your integer value.
Your simplified equation now looks like this:
-37 = m
This leaves your final answer value for m as a -37.
I hope this is correct and helpful to you! :)
Answer:
Step-by-step explanation:
we know that
Applying the law of cosines
we have
The measure of angle C is the angle opposite the 46 ft side
substitute the value
![cos (C)=[63^{2}+40^{2}-46^{2}]/(2(63)(40))=0.6851](https://tex.z-dn.net/?f=cos%20%28C%29%3D%5B63%5E%7B2%7D%2B40%5E%7B2%7D-46%5E%7B2%7D%5D%2F%282%2863%29%2840%29%29%3D0.6851)
