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2 years ago

Find the least common multiple of 9, 6, and 2.

Mathematics

1 answer:

Ray Of Light [21]2 years ago

8 0

Answer:

Step-by-step explanation:

This is because when you find the prime factors, you can take out the ones that they have together.

In this case:

9 - 3 * 3

6 - 3 * 2

2 - 2

So notice that each number has a maximum of 2 3s and 1 2, thus, you can multiple 3 * 3 * 2

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Read 2 more answers

En un triángulo rectángulo A es un ángulo agudo y Sen A = 4/5 ¿Cuál será el valor de Tan A?

Nonamiya [84]

Answer:

$\displaystyle \tan A=\frac{4}{3}$

Step-by-step explanation:

<u>Funciones Trigonométricas</u>

La identidad principal en trigonometría es:

$sen^2A+cos^2A=1$

Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.

Dado que Sen A = 4/5, calculamos el coseno:

$cos^2A=1-sen^2A$

Sustituyendo:

$\displaystyle cos^2A=1-\left(\frac{4}{5}\right)^2$

$\displaystyle cos^2A=1-\frac{16}{25}$

$\displaystyle cos^2A=\frac{25-16}{25}$

$\displaystyle cos^2A=\frac{9}{25}$

Tomando raíz cuadrada:

$\displaystyle cos\ A=\sqrt{\frac{9}{25}}=\frac{3}{5}$

La tangente se define como:

$\displaystyle \tan A=\frac{sen\ A}{cos\ A}$

Substituyendo:

$\displaystyle \tan A=\frac{\frac{4}{5}}{\frac{3}{5}}$

$\displaystyle \tan A=\frac{4}{3}$

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2 years ago

On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 7 k

Airida [17]

Answer:

21 N

Step-by-step explanation:

let mass be m and weight be w

Given w varies directly with m then the equation relating them is

w = km ← k is the constant of variation

To find k use the condition m = 7 , w = 49 , then

49 = 7k ( divide both sides by 7 )

7 = k

w = 7m ← equation of variation

When m = 3 , then

w = 7 × 3 = 21 N

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2 years ago