Answer:
400 m^2.
Step-by-step explanation:
The largest area is obtained where the enclosure is a square.
I think that's the right answer because a square is a special form of a rectangle.
So the square would be 20 * 20 = 400 m^2.
Proof:
Let the sides of the rectangle be x and y m long
The area A = xy.
Also the perimeter 2x + 2y = 80
x + y = 40
y = 40 - x.
So substituting for y in A = xy:-
A = x(40 - x)
A = 40x - x^2
For maximum value of A we find the derivative and equate it to 0:
derivative A' = 40 - 2x = 0
2x = 40
x = 20.
So y = 40 - x
= 40 - 20
=20
x and y are the same value so x = y.
Therefore for maximum area the rectangle is a square.
Answer:
7,8,9
Step-by-step explanation:
The closest you can get to 42 with that equation and it has to use consecutive intergers is 41 and these numbers get you there.
Any set of 3 points is "coplanar".
Answer: Attached.
Step-by-step explanation:
Either solve the equations directly, or graph them and look for the point of intersection.
Answer:
Step-by-step explanation:
Los movimientos bancarios de Santiago se representan matemáticamente teniendo en cuenta que consignar es sumar y retirar el restar. Por lo tanto podes expresar los movimientos bancarios de la siguiente manera:
- Lunes → + 300.000
- Martes → -120.000
- Miércoles → -95.000
- Jueves → +80.000
Al realizar la sumatoria se obtiene:
+300.000 - 120.000 - 95.000 + 80.000 = + 165.000
En la semana Santiago obtiene en su cuenta bancaria $165.000
