What is the next number in the sequence? 3, 9, 15, 21, ?
2 answers:
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Answer:
a) El procedimiento queda resumido en lo que sigue:
1) Se halla el área de la base del cuadrilátero.
2) Se multiplica el resultado anterior por la longitud del prisma.
b) La expresión para calcular el volumen del prisma (), en unidades cúbicas, es:
Donde:
- Ancho de la base, en unidades.
- Altura de la base, en unidades.
- Longitud del prisma, en unidades.
Step-by-step explanation:
a) Dimensionalmente hablando, la unidad de volumen es igual al cubo de la unidad de longitud. Se explica a continuación los pasos necesarios para el cálculo de prisma cuadrangular:
1) Se halla el área de la base del cuadrilátero.
2) Se multiplica el resultado anterior por la longitud del prisma.
b) En consecuencia, se deriva la expresión para el volumen del prisma:
(1)
Donde:
- Área de la base del prisma, en unidades cuadradas.
- Longitud del prisma, en unidades.
(2)
Donde:
- Ancho de la base, en unidades.
- Altura de la base, en unidades.
<em><u>The expression that describes the number of tickets won by Lily is:</u></em>
a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben
<em><u>Solution:</u></em>
Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes
Let "a" be the number of tokens won by Lily
Let "b" be the number of tokens won by Louis
Let "c" be the number of tokens won by Ben
<em><u>Given that Louis won 4.5 times as many tokens as Ben</u></em>
So we can frame a equation as:
number of tokens won by Louis = 4.5 times as many tokens as Ben
number of tokens won by Louis = 4.5 x number of tokens won by Ben
b = 4.5c
<em><u>Given that Lily won 8 more tokens than Louis</u></em>
number of tokens won by Lily = 8 + number of tokens won by Louis
a = 8 + b
Substituting the value of b = 4.5c in above expression
a = 8 + 4.5c
Thus the expression that describes how many tokens Lily won is found
Let us draw a picture to make the things more clear.
Attached is the image.
We have been given that
Therefore, we have
Now, in triangle bcd, we have
Now, in triangle acb, we have
Thus, ad is 15 cm.
