The third option, 100*
making it an abtuse triangle
If incorrect, sorry
Answer:
72
Step-by-step explanation:
If SR and RU have the same length, a right angle, and a shared side, we know that they are congruent triangles using SAS (Side Angle Side). Our equation to find the perimeter would be SR + RU + UT + TS or 16 + 16 + 20 + 20(using our knowledge of the congruent triangles) = 72.
<span>The area of the base is x^2> The height is h. Each side of the box has area xh. There are 4 sides of the box so the total surface area of the box is x^2+4xh and that is equal to 1000. Solve that equation for h:
x^2+4xh = 1000 h = (1000-x^2)/4x so the Volume = x^2[(1000-x^2)/4x]
Simplify and get V = 250x-x^3/4
The volume will be a maximum when its first derivative is 0.
V' = 250-3/4x^2
Set to 0 and solve. x=18.26
Now plug into the volume function to find the maximum volume:
V=250(18.26)-(18.26)^3/4
V= 4564.35 - 1522.10 =3042.25</span>
8P4 is a permutation;
P(n,r) ; nPr = n!/(n-r)!
8P4 = 8!/(8-4)! = 40,320 / 4! = 40,320 / 24 = 1,680
The value of 8P4 is 1,680
