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3 years ago

The equation in standard form for the circle with radius 10 centered at the origin?

Mathematics

1 answer:

fenix001 [56]3 years ago

4 0

Answer:

x^2 + y^2 = 100

Step-by-step explanation:

The standard form equation for a circle is:

(x – h)^2 + (y – k)^2 = r^2

Where h is the x coordinate of the center point and k is the y coordinate of the center point. Since the center point is (0,0), this simplifies to:

x^2 + y^2 = r^2

Since the radius is 10, this simplifies to:

x^2 + y^2 = 100

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3 years ago

Round each number to the nearest hundred and estimate the sum. 1,382 + 966

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Answer:

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3 years ago

3sina-4sin4a/sin5a<br> if a=-45 degree

Ierofanga [76]

Given:

The given expression is:

$\dfrac{3\sin a-4\sin 4a}{\sin 5a}$

To find:

The value of the given expression at $a=-45$ .

Solution:

We have,

$\dfrac{3\sin a-4\sin 4a}{\sin 5a}$

Substituting $a=-45$ , we get

$\dfrac{3\sin (-45)-4\sin [4(-45)]}{\sin [5(-45)]}$

$=\dfrac{-3\sin (45)+4\sin (180)}{-\sin (225)}$

$=\dfrac{-3\sin (45)+4\sin (180)}{-\sin (180+45)}$

$=\dfrac{-3\sin (45)+4\sin (180)}{\sin (45)}$

On substituting $\sin (180)$ , we get,

$=\dfrac{-3\sin (45)+4(0)}{\sin (45)}$

$=\dfrac{-3\sin (45)+0}{\sin (45)}$

$=\dfrac{-3\sin (45)}{\sin (45)}$

$=-3$

Therefore, the value of the given expression at $a=-45$ is $-3$ .

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3 years ago