The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.
![P(c)=-20c^2+320c+5120 \\ \\ a=-20 \\ b=320 \\ \\ \hbox{the vertex } (h,k): \\ h=\frac{-b}{2a}=\frac{-320}{2 \times (-20)}=\frac{-320}{-40}=8 \\ k=f(h)=f(8)=-20 \times 8^2+320 \times 8+5120= \\ =-1280+2560+5120=6400](https://tex.z-dn.net/?f=P%28c%29%3D-20c%5E2%2B320c%2B5120%20%5C%5C%20%5C%5C%0Aa%3D-20%20%5C%5C%0Ab%3D320%20%5C%5C%20%5C%5C%0A%5Chbox%7Bthe%20vertex%20%7D%20%28h%2Ck%29%3A%20%5C%5C%0Ah%3D%5Cfrac%7B-b%7D%7B2a%7D%3D%5Cfrac%7B-320%7D%7B2%20%5Ctimes%20%28-20%29%7D%3D%5Cfrac%7B-320%7D%7B-40%7D%3D8%20%5C%5C%0Ak%3Df%28h%29%3Df%288%29%3D-20%20%5Ctimes%208%5E2%2B320%20%5Ctimes%208%2B5120%3D%20%5C%5C%0A%3D-1280%2B2560%2B5120%3D6400)
The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.
The maximum profit the company can make is $640,000.
Answer:
let
hypotenuse[h]=60ft
base[b]=36ft
perpendicular [p]=48ft
by using Pythagoras law
p²+b²=h²
48²+36²=60²
2896≠3600
since p²+b²≠ h²[<u>so</u><u> </u><u>the</u><u> </u><u>stage</u><u> </u><u>is</u><u> </u><u>not</u><u> </u><u>in</u><u> </u><u>a</u><u> </u><u>right</u><u> </u><u>angled</u><u> </u><u>tria</u><u>ngle</u><u>]</u><u>but</u><u> </u><u>it</u><u> </u><u>is</u><u> </u><u>scalene</u><u> </u><u>triangle</u>
Answer:
kong gusto mawala yong module mo pokpok mo sa ulo mo tanga
The area of Marcia's trapezoid felt is 76.5 sqaured centimeters
In this problem the big angle will be equal to two times the smaller angle so the correct expression is:
![\angle TUV=2\angle VUW](https://tex.z-dn.net/?f=%5Cangle%20TUV%3D2%5Cangle%20VUW)
Now we can rewrite the equation so: