A worker at a farm supply company in Franklin County is mixing up a 420-kilogram batch of its special grain blend for horses, wh
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Answer:
Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.
Step-by-step explanation:
En este caso, el cliente que adquiere una malteada de tres sabores distintos sigue el siguiente procedimiento:
1) El primer sabor sale de cualquiera de las 20 frutas disponibles.
2) El segundo sabor es distinto al primer sabor, es decir, que sale de las 19 frutas restantes.
3) El tercer sabor es distinto al primer sabor y al segundo sabor, es decir, que sale de las 18 frutas restantes.
Puesto que existe una doble conjunción y que puede importar el orden según la preferencia del cliente, se habla matemáticamente de una permutación, definida como:
(1)
Donde:
- Número de sabores disponibles, adimensional.
- Número de sabores escogidos, adimensional.
Si tenemos que y
, entonces la cantidad de malteadas de tres sabores distintos es:
Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.
The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units
<h3>Determining the perimeter and area of the triangle giving line equation</h3>In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.
The points of intersection of the line are;
(x₁, y₁) = (- 0.4, 5.2),
(x₂, y₂) = (-0.8, 4.4),
(x₃, y₃) = (0, 4)
Determine the base
b² = c² -a²
b = √(-0.8)² + (4 - 4.4)²
b = 2√5 / 5
Determine the height
h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²
height = 2√5 / 5
For the hypotenuse
r = √2 · b
r = 2√10 / 5
<h3>Determine the Perimeter and area</h3>Perimeter = s1+s2+s3
Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5
Perimeter = (2√10 + 4√5) / 5 units
<u>For the area</u>
area = 1/2* base * height
A = 0.5 · (2√5 / 5) · (2√5 / 5)
A = 2/5 square units
Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units
Learn more on area and perimeter of triangles here: brainly.com/question/12010318
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The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.
<h3>What is the area of a regular polygon?</h3>The area of the polygon is the product of half of the apothem of the triangle and perimeter.
The area of the polygon =
The side of the triangle is 10 units.
Apothem of an equilateral triangle
s=
s = 2.88
Here, a is the side of the triangle.
Thus the apothem of the triangle is 2.9 units.
The perimeter of the equilateral triangle is equal to the three times the sides.
Perimeter of the equilateral triangle ,
P = 3(10)
P = 30
Therefore, the perimeter of the equilateral triangle is 30 units.
The area of the equilateral triangle-
The area of the polygon =
A =
A = 43.5
Thus the area of the equilateral triangle is 43.5 squared units.
Therefore, The calculated areas of both are the same instead of using the different formulas.
Learn more about the apothem;