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2 years ago

Solve the simultaneous equations 5x+2y=25 5x-y=10

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

4 0

5x + 2y = 25;

5x + 2y = 25;5x - y = 10;

5x + 2y = 25;

5x = 10 + y;

(10 + y) + 2y = 25;

5x = 10 + y;

10 + 3y = 25;

5x = 10 + y;

3y = 15;

5x = 10 + y;

y = 5;

5x = 10 + y;

y = 5;

5x = 10 + 5;

y = 5;

5x = 15;

y = 5;

x = 3.

Answer: (3; 5).

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

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Step-by-step explanation:

Funciones Trigonométricas

La identidad principal en trigonometría es:

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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:

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