Answer:
Dimensions: 
Perimiter: 
Minimum perimeter: [16,16]
Step-by-step explanation:
This is a problem of optimization with constraints.
We can define the rectangle with two sides of size "a" and two sides of size "b".
The area of the rectangle can be defined then as:
This is the constraint.
To simplify and as we have only one constraint and two variables, we can express a in function of b as:
The function we want to optimize is the diameter.
We can express the diameter as:
To optimize we can derive the function and equal to zero.
The minimum perimiter happens when both sides are of size 16 (a square).
Answer:
11 ÷ 27 = 0.407407
Step-by-step explanation:
Una fracción, como 11/27, tiene un numerador y un denominador separado por una línea divisoria.
11 es el numerador, porque es el número de arriba de la línea divisoria.
27 es el denominador porque es el número de abajo de la línea divisoria.
Para convertir 11/27 a decimal, divide el numerador por el denominador.
Answer:
x ≈ 52.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = 
= 
= 
, then
x = 
( ) ≈ 52.1° () to the nearest tenth )
You would plug in the y=9 into the first equation and then have the expression 9=9x-9
. After going through the first steps of solving an expression you would get 18=9x. X=2. Then you would plug in the x value into the first expression to get y=9.
I graphed the function.
Remember, f(x)= y.
y= -2x^2-16x-34
The vertex was at point (-4,-2)
I hope this helps!
~kaikers
