HELP ME PLEASE FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE IN 4 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

Mnenie [13.5K]2 years ago

8 0

We’re looking for the area of the shaded region (blue rectangle)

First we’ll start by finding the area of the whole shape: 10+2 =12 and 5+3 = 8.

Now that we have that we will multiply 12x8, getting 96.

Now we want to find the area of the white rectangle.
So, 3 x 10 = 30.

Now that we have our two areas, we’ll need to subtract 96-30 = 66. Getting the area of the shaded region.

I hope this helps!

goldfiish [28.3K]2 years ago

3 0

Answer: 66

Step-by-step explanation: Basically you want to find the area of the whole shape and the white shape, which the whole shape is 96 and the white shape is 30, and subtract 96-30=66

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Simplify <br><img src="https://tex.z-dn.net/?f=%20%20%5Csqrt%7B%20-%20180%7D%20" id="TexFormula1" title=" \sqrt{ - 180} " alt="

QveST [7]

Answer: $(6\sqrt{5})i$

This is the same as saying $6i\sqrt{5}$

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Work Shown:

$\sqrt{-180} = \sqrt{-1*36*5}\\\\\sqrt{-180} = \sqrt{-1}*\sqrt{36}*\sqrt{5}\\\\\sqrt{-180} = i*6*\sqrt{5}\\\\\sqrt{-180} = 6i\sqrt{5}\\\\\sqrt{-180} = (6\sqrt{5})i\\\\$

where $i = \sqrt{-1}$

As the steps show above, the idea is to factor the radicand into smaller pieces where one of those pieces is the largest perfect square possible. In this case, 36 is the largest factor of 180 that's a perfect square. Then I used the rule $\sqrt{A*B} = \sqrt{A}*\sqrt{B}$ to break up the root.