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3 years ago

The terminal side of theta in standard position contains the point (-4,-2).

Mathematics

1 answer:

7nadin3 [17]3 years ago

8 0

Answer:

sin(θ) = -0.894

Step-by-step explanation:

If we have a point (x, y), the angle formed between the positive x-axis and the ray that connects the origin with the point is given by:

tan(θ) = y/x

cos(θ) = y/√(x^2 + y^2)

sin(θ) = x/√(x^2 + y^2)

Here we have the point (-4, -2)

so we have:

x = -4

y = -2

Replacing these values in the sine equation, we get:

sin(θ) = -4/√((-4)^2 + (-2)^2)

sin(θ) = -0.894

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3 years ago

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Answer:

There is an error in the application of the DMAS rule, The answer as per the DMAS rule is 75.

Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

If a 12 cm altitude to the hypotenuse of a right triangle divides the hypotenuse into segments with ratio 3:2, what is the lengt

tiny-mole [99]

Answer:

The length of hypotenuse is $10\sqrt{6}$ cm

Step-by-step explanation:

Let's length of hypotenuse is x

Since, a 12 cm altitude to the hypotenuse of a right triangle divides the hypotenuse into segments with ratio 3:2

so,

First part of hypotenuse length is

$=\frac{3}{5}x$

Second part of hypotenuse length is

$=\frac{2}{5}x$

now, we can draw triangle

We can see that

triangles ABD and ABC are similar

so, the ratio of their sides must be equal

$\frac{\frac{3x}{5} }{12}=\frac{12}{\frac{2x}{5}}$

now, we can solve for x

$\frac{3x}{5}\times\frac{2x}{5}=144$

$6x^2=3600$

$x=10\sqrt{6}$

So,

The length of hypotenuse is $10\sqrt{6}$ cm

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3 years ago