Wiki-Quellcode von Lösung Fenster
Zeige letzte Bearbeiter
| author | version | line-number | content |
|---|---|---|---|
| 1 | [[image:L16.png]] | ||
| 2 | [[image:L17.png]] | ||
| 3 | [[image:L18.png]] | ||
| 4 | |||
| 5 | {{formula}}A_{Rechteck} = x \cdot y{{/formula}} | ||
| 6 | {{formula}}A_{Halbkreis} = \pi \Bigl(\frac{1}{2}y \Bigl)^2 \cdot \frac{1}{2}{{/formula}} {{formula}}A_{Kreis}= \pi \cdot r^2{{/formula}} | ||
| 7 | {{formula}} U_{Rechteck} = 2x+y {{/formula}} | ||
| 8 | {{formula}}U_{Halbkreis} = 2\pi \Bigl(\frac{1}{2}y \Bigl) \cdot \frac{1}{2}{{/formula}} {{formula}}U_{Kreis}=2\pi r{{/formula}} | ||
| 9 | |||
| 10 | Hauptbedingung: | ||
| 11 | {{formula}}L= x\cdot y \cdot 0,9 + \pi \cdot \Bigl(\frac{1}{2}y \Bigl)^2 \cdot \frac{1}{2} \cdot 0,7{{/formula}} | ||
| 12 | |||
| 13 | Nebenbedingung: | ||
| 14 | {{formula}} U= 2x + y + 2\pi \Bigl(\frac{1}{2}y \Bigl) \cdot \frac{1}{2} = 3,5 {{/formula}} | ||
| 15 | |||
| 16 | {{formula}}x = - \frac{1}{2}y - \frac{\frac{1}{2}\pi y}{2}+1,75{{/formula}} |