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prohojiy [21]
3 years ago
5

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
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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

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10.5cm^3

hope it helps :)

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3 0
3 years ago
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