16 (sin^3+cos^3) если sin+cos=0.5

16 (sin^3 (x) + cos^3 (x)) = 16 (sin (x) + cos (x)) (sin^2 (x) - sinx cosx + cos^2 (x)) =

= 16 (sin (x) + cos (x)) (1 - sin (x) cos (x));

sin (x) + cos (x) = 0.5; = => (sin (x) + cos (x)) ^2 = 0,25;

sin^2 (x) + 2 sin (x) cos (x) + cos^2 (x) = 0,25;

2 sin (x) cos (x) = 0,25 - 1 = - 0,75;

sin (x) cos (x) = - 0,375;

16 (sin (x) + cos (x)) (1 - sin (x) cos (x)) =

= 16 · 0,5 (1 + 0,375) = 11;

Ответ: 11.