Answer:
Wyjaśnienie krok po kroku:
Załóżmy, że prostokąt ma wierzchołki (x,y,z) w dodatnim oktancie. Prostokątny pudełko musi być symetryczne względem wszystkich trzech osi.
Wtedy jego boki to
Objętość = 
Maksymalizuj objętość przy założeniu
tj. 
Użyj mnożników Lagrange'a, mamy
przy maksimum
Dzieląc otrzymujemy
Podobnie 
Zatem otrzymujemy 
Stąd wymiary to
(2x,2y,2z)
<pzatem wymiary="" to="">
</pzatem>
Answer: 13
I made an error on the question, and it provided the right answer. Thank me later.
The first equation is x + y = 29, and the second is 5x + 2y = 100.
Answer:
0.047
Detailed breakdown:
Using a Poisson distribution with a mean m, for an area of 0.5 square meters = 1.5
The formula to determine the probability is given by
P[k] = (e^-m * m^k) k!
Thus, we can calculate
P[4] = [(e^-1.5) * (1.5^4)] ÷ 4 * 3 * 2 * 1
= (0.2231301601 * 5.0625) ÷ 24
= (1.12944375) ÷ 24
≈ 0.04706
≈ 0.047
Therefore, the final result is 0.047
Given:
Triangle ABC is rotated 90 degrees counterclockwise and then translated vertically by 3 units to form triangle A'B'C'.
To determine:
The transformation rule necessary to map each point (x,y) on Triangle ABC to its equivalent point on Triangle A'B'C'.
Solution:
For a figure that undergoes a 90-degree counterclockwise rotation, the transformation will be defined as:
To translate a figure upward by 3 units, the appropriate transformation will be applied afterwards.
Hence, when triangle ABC experiences a rotation of 90 degrees counterclockwise followed by a translation of 3 units upward to create triangle A'B'C', the transformation rule will be established accordingly.
