Answer:
the height from the ground to the window is 96
Area of fabric is lxw = 40 x 38 = 1520
Area of triangle is (b x h)/2 = (30 x 27)/2 = 405
Subtract 1520 - 405 = 1115
Answers my vary but what i got is 140 divided by 10 = 14
its the third one, suare root of three plus 18.486
<em><u>Option A</u></em>
<em><u>The solution is:</u></em>
![x = \pm 2i \sqrt{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cpm%202i%20%5Csqrt%7B2%7D)
<em><u>Solution:</u></em>
![f(x) = 19x^2+152](https://tex.z-dn.net/?f=f%28x%29%20%3D%2019x%5E2%2B152)
We have to solve the equation f(x) = 0
Let f(x) = 0
![0=19x^2+152](https://tex.z-dn.net/?f=0%3D19x%5E2%2B152)
Solve the above equation
![19x^2 + 152 = 0](https://tex.z-dn.net/?f=19x%5E2%20%2B%20152%20%3D%200)
![\mathrm{Subtract\:}152\mathrm{\:from\:both\:sides}\\\\19x^2+152-152=0-152\\\\Simplify\ the\ above\ equation\\\\19x^2 = -152\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19x^2}{19} = \frac{-152}{19}\\\\x^2 = -8](https://tex.z-dn.net/?f=%5Cmathrm%7BSubtract%5C%3A%7D152%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D%5C%5C%5C%5C19x%5E2%2B152-152%3D0-152%5C%5C%5C%5CSimplify%5C%20the%5C%20above%5C%20equation%5C%5C%5C%5C19x%5E2%20%3D%20-152%5C%5C%5C%5C%5Cmathrm%7BDivide%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A%7D19%5C%5C%5C%5C%5Cfrac%7B19x%5E2%7D%7B19%7D%20%3D%20%5Cfrac%7B-152%7D%7B19%7D%5C%5C%5C%5Cx%5E2%20%3D%20-8)
Take square root on both sides
![x = \pm \sqrt{-8}\\\\x = \pm \sqrt{-1}\sqrt{8}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\x = \pm i\sqrt{8}\\\\x = \pm i \sqrt{2 \times 2 \times 2}\\\\x = \pm 2i\sqrt{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cpm%20%5Csqrt%7B-8%7D%5C%5C%5C%5Cx%20%3D%20%5Cpm%20%5Csqrt%7B-1%7D%5Csqrt%7B8%7D%5C%5C%5C%5C%5Cmathrm%7BApply%5C%3Aimaginary%5C%3Anumber%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%7B-1%7D%3Di%5C%5C%5C%5Cx%20%3D%20%5Cpm%20i%5Csqrt%7B8%7D%5C%5C%5C%5Cx%20%3D%20%5Cpm%20i%20%5Csqrt%7B2%20%5Ctimes%202%20%5Ctimes%202%7D%5C%5C%5C%5Cx%20%3D%20%5Cpm%202i%5Csqrt%7B2%7D)
Thus the solution is found