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3 years ago

The equation for the circle below is the x2 + y2=81. what is the length of the circles radius

Mathematics

2 answers:

larisa [96]3 years ago

8 0

Answer:

Step-by-step explanation:

Compare your x2 + y2=81 to the following:

x^2 + y^2 = 81

The " ^ " symbol indicates exponentiation.

Now compare x^2 + y^2 = 81 to

x^2 + y^2 = r^2.

This is the standard equation of a circle of radius r centered at the origin, (0,0). You can see for yourself that 81 must equal r^2.

Taking the square root of 81, we get plus or minus 9.

But the radius must be positive, so we reject the -9 and take +9.

The radius is 9.

SSSSS [86.1K]3 years ago

8 0

Answer: 9

Step-by-step explanation:

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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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Answer:

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Step-by-step explanation:

Funciones Trigonométricas

La identidad principal en trigonometría es:

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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:

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Sustituyendo:

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

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

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Tomando raíz cuadrada:

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

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

Substituyendo:

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

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

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