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s344n2d4d5 [400]
3 years ago
6

Find the radius of the circle with diameter DG if OG = 12 cm and OD = 5 cm

Mathematics
1 answer:
olganol [36]3 years ago
7 0

Answer:

The radius of the circle with diameter DG is 8.5 cm.

Step-by-step explanation:

Diameter of the circle = DG

Radius of the circle = r = DG/2

First we need to find the Diameter DG:

We have OG = 12 cm and OD = 5 cm

With the limited information given in the question, we assume that O is some point on the line DG but it is not the center of the circle. Otherwise, OG and OD would be the same.

So, DG = OG + OD

DG = 12+5

DG = 17 cm

Now,

r = DG/2

r = 17/2

radius = r = 8.5 cm

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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:

<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

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

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