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IRINA_888 [86]
3 years ago
5

Which is not an example of intersecting lines?

Mathematics
1 answer:
zheka24 [161]3 years ago
7 0

Answer:

B. A piece of copy paper.

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Pre-Cal Help!! (Image Attached)
Jet001 [13]
To solve this type of questions, a practical way is to think of the 1.quadrant situation, that is, model the situation in right triangle trigonometry.

Check the picture.

For the moment let \displaystyle{ \cos\theta= \frac{8}{17} (we make it positive since we are modeling using a triangle.)

Using the Pythagorean theorem, the length of the side opposite to angle \theta is found to be 15 units.

We can see that the sine of theta is \displaystyle{ \sin\theta= \frac{opposite \ side}{hypotenuse}= \frac{15}{17}.

In the third quadrant, both sine and cosine of an angle are negative, so the actual values of the sine and cosine of theta are, eventually:

\displaystyle{ \sin\theta=- \frac{15}{17}, \displaystyle{ \cos\theta=- \frac{8}{17}.

Recall the double-angle identities (formulas):

\sin 2\theta=2\sin\theta\cos\theta, \cos2\theta=cos^2(\theta)-sin^2(\theta).

Using these identities and the ratios found above, we have:

\displaystyle{ \cos2\theta=cos^2(\theta)-sin^2(\theta)=(- \frac{8}{17})^2-(- \frac{15}{17})^2=\frac{64}{289}-\frac{225}{289}=\frac{-161}{289}

Similarly, applying the double angle formula for the sine we have:

\displaystyle{ \sin 2\theta=2\sin\theta\cos\theta=2\cdot(- \frac{8}{17})(- \frac{15}{17})=\frac{240}{289}

\displaystyle{ \tan2\theta= \frac{\sin 2\theta}{\cos 2\theta}= \frac{\frac{240}{289}}{\frac{-161}{289}}= -\frac{240}{161}


Answer:

\displaystyle{\cos2\theta=\frac{-161}{289}


\displaystyle{ \tan2\theta= -\frac{240}{161}

6 0
4 years ago
Please answer ASAP <br> Thanks
xeze [42]

Answer:

I think it’s 467

Step-by-step explanation:

You add all of the numbers and then subtract the number by 580 you get 467

5 0
3 years ago
Read 2 more answers
What is the answer to 4/15 - 1/9?
Flauer [41]

Answer:

7/45

Step-by-step explanation:

I hope this helps!

5 0
4 years ago
Read 2 more answers
I Can Multiply The Number Of_______In A Polygon By________To Find The Sum Of Its Interior Angles
stealth61 [152]
Multiply the sides by 180  degrees!!!!!!
3 0
4 years ago
Stet by step explanation
Irina-Kira [14]

Answer:

x = 4

y = -3

Step-by-step explanation:

2x + 4y = -4

x + 2y = -2 ---------(1)

3x + 5y = -3 ----------(2)

Equation (1) multiplied by 3 then subtracted from equation (2),

(3x + 5y) - 3(x + 2y) = -3 + 6

-y = 3

y = -3

From equation (1)

x + 2(-3) = -2

x - 6 = -2

x = 6 - 2

x = 4

6 0
3 years ago
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