Odpowiedź:
zad 3
A 3 : 3/4 = 3 * 4/3 = 12/3 = 4
B 3/4 : 3 = 3/4 * 1/3 = 1/4
C - 3 * (- 3/4) = 9/4 = 2 1/4
D 3/4 + 3 = 3 3/4
E 3/4 - 3 = 3/4 - 2 4/4 = - 2 1/4
Szereg rosnący
- 2 1/4 < 1/4 < 2 1/4 < 3 3/4 < 4
E < B < C < D < A
zad 4
IBCI/IACI = sin30° = 1/2
IBCI = IACI * 1/2 = 5 cm * 1/2 = 2,5 cm
IBI = √(IACI² - IBCI²) = √(5² - 2,5²) cm = √(25 - 6,25) cm = √18,25 cm =
= √(18 3/4) cm = √(75/4) cm = √(25 * 3)/2 cm = 5√3/2 cm
P - pole prostokąta = IABI * IBCI = 5√3/2 cm * 5 cm = 25√3/2 cm = 12,5√3 cm²
