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nydimaria [60]
3 years ago
8

I need help on this answer and don't know. Do you know how to do it?????

Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0
0 + (-3 1/4)
1 + (-4 1/4)
2 + (-5 1/4)
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If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where x=√2/2, what is the exact
Serhud [2]

The exact measure of the angle is 45°.

<h3>How to get the angle?</h3>

We know that the terminal side passes through a point of the form (√2/2, y).

Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:

1 = \sqrt{( \frac{\sqrt{2} }{2} )^2 + y^2} \\\\1^2 = \frac{2}{4} + y^2\\1 - 1/2 = y^2\\\\1/\sqrt{2} = y

We know that y is positive because the point is on the first quadrant.

Now, we know that our point is:

(√2/2, 1/√2)

And we can rewrite:

√2/2 = 1/√2

So the point is:

( 1/√2,  1/√2)

Finally, remember that a point (x, y), the angle that represents it is given by:

θ = Atan(y/x).

Then in this case, we have:

θ = Atan(1/√2/1/√2) = Atan(1) = 45°

If you want to learn more about angles, you can read:

brainly.com/question/17972372

3 0
2 years ago
The formula for the sum of an infinite geometric series, S=a1/1-r, may be used to convert
schepotkina [342]

Answer:

  D.  a1=23/100, r=1/100

Step-by-step explanation:

The repeating fraction can be written as the sum ...

0.\overline{23}=0.23+0.0023+0.000023+\dots

The first term is a1 = 0.23 = 23/100, and each successive term is shifted 2 decimal places to the right, so is multiplied by the common ratio r=1/100.

7 0
3 years ago
Read 2 more answers
Standard form Q)9, Q)10
jeka94
9) 0.31
10) (7x10^6)-(3x10^3)
7000000-3000=6997000
6.997x10^6

Hope this helps :)
7 0
3 years ago
Please help me!!!!!!!
Pie

Answer:

<h3>a1 = 63</h3><h3>an = 3(22-n) .........</h3>

7 0
3 years ago
Can someone explain this using numbers<br>example : -2x3x=-6x<br>Please help me!!
lutik1710 [3]
It has infinite solution or many solutions.
The steps are on paper.

5 0
3 years ago
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