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3 years ago

What is the circumference of the circle?

Mathematics

1 answer:

timama [110]3 years ago

7 0

circumference = 2*(22/7)*r^2

r=d/2

so answer is 103.62

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Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=

lys-0071 [83]

Answer:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

Step-by-step explanation:

The given system of linear equations is:

$(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0$

We have to solve the equations for the values of $x, y$ .

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by $sin\theta$ and second equation by $cos\theta$

Now, the equations become:

$(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)$

Now, let us add (1) and (2):

$(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta$

Using the equation:

$(-sin\theta)x+(cos\theta)y=0$

Putting value of $y$ :

$\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta$

So, the answer to the system of linear equations is:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

7 0

3 years ago

WILL MAKE BRAINLIEST!!Determine if the two triangles are congruent if they are state the postulate or theorem that provides they

Dmitry [639]

Answer:

<h2>Yes they are congruent by SSS criterion </h2>

Step-by-step explanation:

AC=DC. (Given in figure)

AB=BD. (Given in figure

BC=BC. (Common)

that means triangle BAC is congruent to triangle BDC by SSS criterion.

5 0

1 year ago

Which situation describes a correlation that is not a causal relationship? (1) Car color and number of car accidents (2) Hours s

xeze [42]

I believe the answer would be (1) because they are not directly related

5 0

3 years ago

Brainliest, pls help

Zina [86]

That will be the second one, square root of 34

5 0

3 years ago

Read 2 more answers

Does anyone know the answer to this one?

AlladinOne [14]

Answer:

10.5cm^3

Step-by-step explanation:

Volume =l×b×h

3×7/4×2

3×1.75×2

10.5cm^3

hope it helps :)

plz mark as brainliest

3 0

3 years ago