Answer:
48 Square Centimeters
Step-by-step explanation:
The red triangular exterior pieces are all equilateral triangles with some side length.
We don't need to know what that side length is. It doesn't matter.
The area of one red equilateral triangle is some area A.
There are 6 of these red triangles, so the red exterior triangular parts combine to a total area of 6*A.
The hexagon is composed of equilateral triangles as well.
Each of these blue equilateral triangles is congruent to any outer red triangle because the side length is the same.
Therefore, the 6 blue equilateral triangles composing this hexagon combine to get a total area of 6*A
The area of the star overall is 12*A because we have 6 blue triangles combining with the 6 red triangles.
There is a total of 12 triangles.
Answer:
Rocío respondió 43 preguntas correctas y 17 incorrectas.
Step-by-step explanation:
Dado que en las olimpiadas de Matemática, Rocío representó a su colegio, y la prueba consistía en 60 problemas, de los cuales cada respuesta correcta valía 4 puntos y por cada respuesta incorrecta había un punto en contra, y luego del examen, Rocío obtuvo un puntaje de 155, y ella respondió todas las preguntas y desea saber cuantas fueron correctas y cuantas incorrectas, para determinar dicha duda se debe realizar el siguiente calculo:
60 x 4 = 240
40 x 4 - 20 = 140
45 x 4 - 15 = 165
42 x 4 - 18 = 150
43 x 4 - 17 = 155
Por lo tanto, Rocío respondió 43 preguntas correctas y 17 incorrectas.
Answer:
N(h) = 2h + 6
Step-by-step explanation:
A model of the number of people that Denis can invite to his party:
N(x) = x/25.............(1)
Where x = amount of money saved
Amount of money saved can be modeled by the equation:
M(h) = 50h + 150...........(2)
In the above model, h = number of overtime hours
M(h) = amount of money saved = x
Therefore equation (1) can be re - written as:
N(x) = M(h)/25.................................(3)
Substituting equation (2) into equation (3)
Find an explicit expression that models the number of people that Denis can invite to his party if he worked h overtime hours this week can be expressed as:
N(h) = 2h + 6
I THINK you just multiply them all together
8*6*3 = 144
