Well area of a triangle is
![\frac{1}{2} b \times h](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20b%20%5Ctimes%20h)
so,
![36 \times 2 = 72 \\ 72 \div 9 = 8](https://tex.z-dn.net/?f=36%20%5Ctimes%202%20%3D%2072%20%5C%5C%2072%20%20%5Cdiv%209%20%3D%208)
The answer is 8
Enough to cover the bottom of the tank.
X - a leg (x > 6);
x - 6 - a leg;
x + 1 - a <span>hypotenuse;</span>
Use the Pythagorean theorem
![(x+1)^2=x^2+(x-6)^2](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%3Dx%5E2%2B%28x-6%29%5E2)
Use:
![(a\pm b)^2=a^2\pm2ab+b^2](https://tex.z-dn.net/?f=%28a%5Cpm%20b%29%5E2%3Da%5E2%5Cpm2ab%2Bb%5E2)
![x^2+2x+1=x^2+x^2-12x+36\ \ \ |-x^2-2x-1\\\\x^2-14x+35=0\ \ \ |-35\\\\x^2-14x=-35\\\\x^2-2\cdot x\cdot7=-35\ \ \ |+7^2\\\\x^2-2\cdot x\cdot7+7^2=-35+7^2\\\\(x-7)^2=14\iff x-7=\pm\sqrt{14}\ \ \ |+7\\\\x=7-\sqrt{14} < 6;\ x=7+\sqrt{14}](https://tex.z-dn.net/?f=x%5E2%2B2x%2B1%3Dx%5E2%2Bx%5E2-12x%2B36%5C%20%5C%20%5C%20%7C-x%5E2-2x-1%5C%5C%5C%5Cx%5E2-14x%2B35%3D0%5C%20%5C%20%5C%20%7C-35%5C%5C%5C%5Cx%5E2-14x%3D-35%5C%5C%5C%5Cx%5E2-2%5Ccdot%20x%5Ccdot7%3D-35%5C%20%5C%20%5C%20%7C%2B7%5E2%5C%5C%5C%5Cx%5E2-2%5Ccdot%20x%5Ccdot7%2B7%5E2%3D-35%2B7%5E2%5C%5C%5C%5C%28x-7%29%5E2%3D14%5Ciff%20x-7%3D%5Cpm%5Csqrt%7B14%7D%5C%20%5C%20%5C%20%7C%2B7%5C%5C%5C%5Cx%3D7-%5Csqrt%7B14%7D%20%3C%206%3B%5C%20x%3D7%2B%5Csqrt%7B14%7D)
![x=7+\sqrt{14}\\x-6=1+\sqrt{14}\\x+1=8+\sqrt{14}](https://tex.z-dn.net/?f=x%3D7%2B%5Csqrt%7B14%7D%5C%5Cx-6%3D1%2B%5Csqrt%7B14%7D%5C%5Cx%2B1%3D8%2B%5Csqrt%7B14%7D)
The perimeter:
3.16 is the correct answer
Answer:
m < 16
Step-by-step explanation:
598 + 15.75m < 850
15.75m < 850 - 598
15.75m < 252
m < 16