Answer: 54 cm²
<u>Step-by-step explanation:</u>
Area of the big triangle minus the area of the small triangle will give you the area of the shaded region.
![\text{Area of big triangle}=\dfrac{base\cdot height}{2}\\\\A=\dfrac{24\times 6}{2}\\\\.\quad =12\times 6\\\\.\quad = 72](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20big%20triangle%7D%3D%5Cdfrac%7Bbase%5Ccdot%20height%7D%7B2%7D%5C%5C%5C%5CA%3D%5Cdfrac%7B24%5Ctimes%206%7D%7B2%7D%5C%5C%5C%5C.%5Cquad%20%3D12%5Ctimes%206%5C%5C%5C%5C.%5Cquad%20%3D%2072)
![\text{Area of small triangle}=\dfrac{base\cdot height}{2}\\\\A=\dfrac{12\times 3}{2}\\\\.\quad =6\times 3\\\\.\quad = 18](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20small%20triangle%7D%3D%5Cdfrac%7Bbase%5Ccdot%20height%7D%7B2%7D%5C%5C%5C%5CA%3D%5Cdfrac%7B12%5Ctimes%203%7D%7B2%7D%5C%5C%5C%5C.%5Cquad%20%3D6%5Ctimes%203%5C%5C%5C%5C.%5Cquad%20%3D%2018)
Big - Small = Shaded
72 - 18 = Shaded
54 = Shaded
The correct answer is: 3) " x ; 1/2" .
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Explanation:
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Question 1)
g [ f(x) ] = ? ;
→ Given: " f(x) = 1/3 x " ;
→ Given: " g(x) = 3x " ;
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g [ f(x) ] = g(1/3 x) = 3(1/3 x) = 1x = "x" .
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Question 2)
g [ f(1/2) ] = ? ;
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→ Given: " f(x) = 1/3 x " ;
→ f(1/2) = (1/3) * (1/2) = (1*1) / (3*2) = (1/6) ;
→ g [ f(x) ] =
g(1/6) = 3* (1/6) = (3/1) * (1/6) = (3*1) / (1*6) = 3/6 = (3÷3) / (6÷3) = " 1/2 " .
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1. Ok so first I would find 22% of 212,000 to do that you do: 22 divide 100 = 0.22
2. Now that you’ve turned 22% into a decimal as 0.22 you find what 22% of 212,000 is like so: 0.22x212,000 =46,640
3. Now that you have to reduce 212,000 but 22% to do this you just subtract: 212,000-46,640= 165,360
They would purchase the house for $165,360
Answer: The answer is square root of -2 Hope this help :)
Step-by-step explanation: square root of -80 so what number can equal to 80 well 10*8 so it will be sqaure root of -8 ,but that is not answer so you have to simplify -8 so 4*2 equal to 8 so the answer will be sqaure root of -2