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antiseptic1488 [7]
2 years ago
9

Se tiene que elaborar un cartel de forma triangular, uno de los lados debe medir 30 cm y el otro

Mathematics
1 answer:
Marianna [84]2 years ago
7 0

La medida aproximada del lado faltante según el teorema de desigualdad de triángulos es:

  • más de 12 cm y menos de 48 cm

De acuerdo con el teorema de la desigualdad del triángulo que establece que;

La suma de la longitud de 2 lados cualesquiera de un triángulo debe ser mayor que el tercer lado.

Dado que :

a = 30 cm; b = 18 cm; c =?

Basado en el teorema de la desigualdad del triángulo;

  • c debe ser <(a + b)
  • c <(30 + 18); c <48 cm
  • También c> (a - b)
  • c> (30 - 18); c> 12 cm

Por lo tanto, el lado faltante debe ser menor que 48 y mayor que 12.

Más información: brainly.com/question/18345497?referrer=searchResults

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\leadsto\parallel\boldsymbol{Answer.}\parallel\gets

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\leadsto\parallel\boldsymbol{Explanation.}\parallel\gets

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2 years ago
One Sunday, 120 days before Christmas, Aldsworth store publishes an advertisement saying ‘120 shopping days until Christmas'. Al
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(a)18

(b)1089

(c)Sunday

Step-by-step explanation:

The problem presented is an arithmetic sequence where:

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  • Common Difference (Every subsequent Sunday), d=7

We want to determine the number of Sundays in the 120 days before Christmas.

(a)In an arithmetic sequence:

\text{The nth term}, T_n=a+(n-1)d\\T_n \leq 120\\$Therefore:$\\1+7(n-1) \leq 120\\1+7n-7\leq 120\\7n-6\leq 120\\7n\leq 120+6\\7n\leq 126\\$Divide both sides by 7$\\n\leq 18

Since the result is a whole number, there are 18 Sundays in which Aldsworth advertises.

Therefore, Aldsworth advertised 18 times.

(b)Next, we want to determine the sum of the first 18 terms of the sequence

1,8,15,...

\text{Sum of a sequence}, S_n=\frac{n}{2}( 2a+(n-1)d)\\S_{18}=\frac{18}{2}( 2*1+(18-1)*7)\\=9(2+17*7)\\=9(2+119)\\=9*121\\S_{18}=1089

The sum of the numbers of days published in all the advertisements is 1089.

(c)SInce the 120th day is the 18th Sunday, Christmas is on Sunday.

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Answer:

Step-by-step explanation:

Here we have to multiply to find the total...

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