Una escalera está apoyada sobre la pared que mide 3.5m. El pie de la escalera hasta la pared mide 2.5m ¿Cuánto mide la escalera?

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Explicación paso a paso:

La configuración formará un triángulo de ángulos rectos.

Deje que el pie de la escalera a la pared sean los lados adyacentes = 2,5 m

La altura de la pared será el lado opuesto = 3,5 m

La longitud de la escalera será la hipotenusa.

Usando el teorema de Pitágoras:

hip² = opp² + adj²

hip² = 3,5² + 2,5²

hip² = 12,25 + 6,25

hip² = 6

hip = √6

hip = 2,45 m

Por tanto, la longitud de la escalera es 2,45 m.

step-by-step explanation:

when the line is solid:

when the line is dashed:

this > inequality sign means:

this < inequality sign means:

this > inequality sign means:

this < inequality sign means:

about the problem:

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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