Answer:
a(-2.6) b(5, 0) c(9,5)
Step-by-step explanation:
the rule is x+1 y+2 for each of the vertices
4/5*9/10= 36/50 = 18/25
Just multiply the fractions straight across since area is length*height
Answer:
66
Step-by-step explanation:
Order of operations:
32-2(7)+4*4*3
32-14+48
66
Answer:
La medida del tercer ángulo interno es 85°.
Step-by-step explanation:
Los triángulos son figuras geométricas planas que poseen tres lados en contacto entre sí en puntos comunes denominados vértices. A su vez, los triángulos poseen tres ángulos interiores. Estos tres ángulos interiores del triángulo suman 180°.
En este caso, en un triángulo, dos de sus ángulos internos miden 40º y 55º. Siendo θ el tercer ángulo interior, entonces:
θ + 40° + 55°= 180°
Resolviendo:
θ + 95°= 180°
θ= 180° - 95°
θ=85°
<u><em>La medida del tercer ángulo interno es 85°.</em></u>
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).