Answer:
27 by 27
Step-by-step explanation:
Let the sides be x and y. The problem is essentially asking:
Given 2(x+y)=108, maximize xy.
We know that x+y=54. By the Arithmetic Mean - Geometric Mean inequality, we can see that . Substituting in x+y=54, we get , meaning that . Equality will only be obtained when x=y (in this case it will generate the maximum for xy), so setting x = y, we can see that x = y = 27. Hence, 27 is the answer you are looking for.
Answer:
25 pounds of mix A
10 pounds of mix B
Step-by-step explanation:
Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:
Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:
Solving the linear system:
In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B
From the figure, it can be seen that the mage A'B'C' is obtained from the pre-image ABC by translating/shifting the vertices of the image by 7 units to the right and 6 units down.
Therefore, the rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C' is <span>(x, y) → (x + 7, y – 6)</span>.
Answer:
Step-by-step explanation:
<u>Pendulum</u>
The length of the pendulum is 0.4 m or 40 cm. When swinging, it reaches the top height of 4 cm from the bottom. The geometric construction of this situation is shown in the image below.
The right triangle is formed by the length of the pendulum (40 cm), its horizontal displacement, and the vertical height projected by the pendulum.
This last distance is calculated subtracting the total length of the pendulum and the vertical displacement reached in its higher position.
We need to calculate the angle θ, for which we'll use the cosine since we know the adjacent leg and the hypotenuse:
The angle is
Answer:
It’s the third ans
Step-by-step explanation: