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2 years ago

- Point K is on line segment JL. Given JK = 3 and KL = 8, determine the length JL.

Mathematics

1 answer:

AlekseyPX2 years ago

3 0

Answer:

JL = 11 units

Step-by-step explanation:

Add the units between JK and KL together to get the answer for JL

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Sketch the graph of y =sine3x

IgorLugansk [536]

The graph of $\mathbf{y=\sin{3x}}$ is given by,

Here given the function is $y=\sin{3x}$

when $x=0\Rightarrow y=\sin{3\times 0}=\sin0=0$ , then it passes through the origin (0,0).

When $x=\frac{\pi}{6}\Rightarrow y=\sin{3\times\frac{\pi}{6}}=\sin\frac{\pi}{2}=1$

Since we know that, $-1\leq\sin{x}\leq1,\forall x$ , then the function has maximum height at $x=\frac{\pi}{6}$ .

Again when $x=\frac{\pi}{3}\Rightarrow y=\sin{(3\times\frac{\pi}{3})}=\sin\pi=0$ , again the function is 0.

So clearly the function is the Oscillating function.

Using graphing calculator we get the graph of function $y=\sin3x$ ,

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2 years ago

Which of the following is not equal to sin⁡(-230°)?

xenn [34]

From trigonometry we know that:

if $sin(\theta)=sin(\alpha)$

then, $\theta=n\pi+(-1)^n\alpha$ (where $n$ is an integer)

This can be rewritten in degrees as:

$\theta=n(180^{\circ})+(-1)^n\alpha$ .............(Equation 1)

Now, in our case, $\alpha=-230^{\circ}$

Therefore, (Equation 1) can be written as:

$\theta=n(180^{\circ})+(-1)^n(-230^{\circ})$ ..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of $\theta$ that match.

For n=2, (Equation 2) gives us: $\theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}$ .

Thus, $sin(230^{\circ})=sin(130^{\circ})$

Now, we know that: $-sin(-50^{\circ})=sin(50^{\circ})$

Let n=-1, then:

$\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}$

Thus, $sin(-230^{\circ})=-sin(-50^{\circ})$

Likewise, $sin(-230^{\circ})=sin(50^{\circ})$

Only the last option $sin(-50^{\circ})$ will never match $sin(-230^{\circ})$ because no integral value of $n$ will ever give $\theta=-50^{\circ}$

Thus the last option is the correct option.

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3 years ago

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All of the following factors affect the level of wages except which of the following?

siniylev [52]

There is no picture here. Do you have a picture i can use to better understand the question?

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3 years ago

can someone plz help me on this plz I beg u

STALIN [3.7K]

Answer:

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KINNDAAAA need help. Will give Brainly! Need the full equation pls!

Alexxandr [17]

Hey, I’m pretty sure the answer is y=1/2x + 0.

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