The larger rectangle will be a square with sides of 96 ft while the pens will have 96 ft of length and 31 ft of width
<h3>How to Maximize Area of rectangle?</h3>
The side lengths of the big rectangle are x and y and so we have the following expression for its area A:
A = x*y
This is tied to the constraint that the perimeter should not be larger than the available fencing , Thus;
2x + 2y = 384 (All the fencing is used to maximize the area)
y = (384 - 2x)/2
y = 192 - x
Put 192 - x for y in A to get;
A = x(192 - x)
A = 192x - x²
Completing the square gives;
A = 9216 - (x - 96)²
Thus;
A is maximum at;
x - 96 = 0
x = 96 ft
y = 192 - 96
y = 96 ft
Then since we maximised the area of the bigger rectangle , we have maximised the area of the smaller pens. The dimensions will be;
x_small = 96 ft /3
x_small = 31 ft
y_small = 96 ft
Complete question is;
Building sheep pens: It's time to drench the sheep again, so Chance and Chelsea-Lou are fencing off a large rectangular area to build some temporary holding pens. To prep the males, females, and lambs, they are separated into three smaller and equal-size pens partitioned within the large rectangle. If 384 ft of fencing is available and the maximum area is desired, what will be (a) the dimensions of the larger, outer rectangle? (b) the dimensions of the smaller holding pens?
Read more about maximizing area at; brainly.com/question/14853334
Answer:
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Answer:
a: ACT
Explanation:
ACT is a standardized, mission-driven and nonprofit organization, that organizes the ACT test for students.
ACT is a college entrance test for the 11th and 12th grade student, that assesses educational developments and college readiness.
The ACT English test is generally made up of series of passages with multiple choice questions with 45 minutes duration.
The ACT Mathematics test comprises of 60 questions and 40 Science questions.
The cumulative score for the ACT test ranges from 1 to 36 (maximum score).
Answer:
En química, la reactividad de una especie química es su capacidad para reaccionar en presencia de otras sustancias químicas o reactivos (de diferente dominio químico).1
Se puede distinguir entre la reactividad termodinámica y la reactividad cinética. La primera distingue si la reacción está o no favorecida por entalpía (competencia entre energía y entropía), es decir si es una reacción espontánea o no. La segunda distingue si la reacción tendrá lugar o no en una escala de tiempo dada.
De esta forma, existen reacciones termodinámicamente favorables pero cinéticamente impedidas, como la combustión de grafito en presencia de aire. En casos así, la reacción se dará de una forma muy lenta o, directamente, no se producirá. Si una reacción se encuentra bloqueada cinéticamente, es posible lograr que se produzca alterando las condiciones de reacción o utilizando un catalizador.
La química orgánica y la química inorgánica estudian la reactividad de los distintos compuestos. La fisicoquímica trata de calcular o predecir la reactividad de los compuestos, y de racionalizar los mecanismos de reacción.
Explanation:
