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kobusy [5.1K]
3 years ago
12

SOMEONE PLEASE HELP MEEEE

Mathematics
2 answers:
AURORKA [14]3 years ago
8 0

Answer:

-180^{\circ}

Step-by-step explanation:

Lines form 180 degrees on either side. The negative sign simply implies direction (clockwise instead of counter-clockwise), which is negligible as 180 is exactly half of 360 so you'd form the same line.

deff fn [24]3 years ago
7 0

Answer:

-180 because its through 0

hope this helps!

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Find the sum \[\sum_{k = 1}^{2004} \frac{1}{1 + \tan^2 (\frac{k \pi}{2 \cdot 2005})}.\]
vampirchik [111]

Answer:1002

Step-by-step explanation:

\Rightarrow \sum_{k=1}^{2004}\left ( \frac{1}{1+\tan ^2\left ( \frac{k\pi }{2\cdot 2005}\right )}\right )

and 1+\tan ^2\theta =\sec^2\theta

and \cos \theta =\frac{1}{\sec \theta }  

\Rightarrow \sum_{k=1}^{2004}\left ( \cos^2\frac{k\pi }{2\cdot 2005}\right )

as \cos ^2\theta =\cos ^2(\pi -\theta )

Applying this we get

\Rightarrow \sum_{1}^{1002}\left [ \cos^2\left ( \frac{k\pi }{2\cdot 2005}\right )+\cos^2\left ( \frac{(2005-k)\pi }{2\cdot 2005}\right )\right ]

every \thetathere exist \pi -\theta

such that \sin^2\theta +\cos^2\theta =1

therefore

\Rightarrow \sum_{1}^{1002}\left [ \cos^2\left ( \frac{k\pi }{2\cdot 2005}\right )+\cos^2\left ( \frac{(2005-k)\pi }{2\cdot 2005}\right )\right ]=1002                          

6 0
3 years ago
In the magic square shown, the sums of the numbers in each row, column and diagonal are the same. What are the values of x, y, z
garri49 [273]
v=23, w=19, x=22, y=26, z=20;; to find the answer, set the expressions equal to each other, since the sum of the numbers should be the same.

Use v+w+24=v+43 and solve for w, which would result in w=19.

You can also use x+z+24=z+46 to find x– or x=22.

Plug in the values for x and w, and find y using 25+22+19=y+40 or 66=y+40 and results in y=26.

After plugging in the y value, you can easily find v and z.

v+18+25=66– since 66 is the sum of a full row, and the sums of the numbers in each row, column, and diagonal are the same, so therefore, v+43 should also equal 66. This results in v=23, and, using the same value for the sum of z+21+25, or z+46=66, we find that z=20.

The final answer is v=23, w=19, x=22, y=26, z=20.

Sorry it took so long;; I hope this helps :)
5 0
4 years ago
7х + Зу = 8
Naddika [18.5K]
Explanation: the positive 3y and the negative 3y cancel each other out. Then you combine the x values which equals 13x=13
X=1 then plug the x back into the equation 7x+3y=8. X=1 and Y=1/3
4 0
4 years ago
(picture) is this the correct way to solve 19?
goldfiish [28.3K]

I cant see your work very clearly so I'll work it out below:-

f(x + Δx) = (x + Δx)^2 - 2(x + Δx) - 3

= x^2 + 2x(Δx) + (Δx)^2 - 2x - 2(Δx) - 3

= x^2 - 2x + (Δx)^2 + 2x(Δx) - 2(Δx) - 3

8 0
3 years ago
During an experiement to evaluate the effictiveness of a new public relations program used by a police department to improve its
olga55 [171]

Answer: Maturation

Step-by-step explanation:Internal validity is a type of validity that establishes a cause and effect relationship,this type of validity tries to eliminate alternative explanation for a Discovery.

One of the threats to internal validity is MATURATION.

MATURATION is the type of threat occuring during experiment to prove a particular Discovery as shown by the question where the police officer shot and killed someone against the intention of the experiment.

3 0
4 years ago
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