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Olegator [25]
3 years ago
13

The measure of angle θ is 600°. The point (x, y) corresponding to θ on the unit circle is ______.

Mathematics
2 answers:
eduard3 years ago
8 0
A unit circle has a radius of 1. 

Θ = 600°

1 circle = 360°

Θ = 360° + 240°

(x,y) =  cos 360° , sin 240° 
(x,y) = -0.50 , -0.886

If these were the given choices: 
<span>A.) -(3^(1/2))/2     B.)-1(2^(1/2))/2           C.)-1/2         D.) (3^(1/2))/2
</span>
x = C) - 1/2
y = A) -(3^1/2) / 2
Marta_Voda [28]3 years ago
7 0

Answer:

x= -\frac{1}{2}\\\\ y= -\frac{\sqrt{3}}{2}

Step-by-step explanation:

Given : The measure of angle θ is 600°.

To find : The point (x, y) corresponding to θ on the unit circle is ?

Solution :

We know, In the unit circle, the x and y coordinates are the cosine and sine ratios, respectively.

Now, We have given θ = 600°

1 circle= 360°

So, 600° corresponds to 600° - 360° = 240°.

i.e, θ =  360° + 240°

180° < 240° < 270° ⇒ the point is in the third quadrant i.e, x and y coordinates are negative.

Now, The supplementary angle to use notable angles:

240° - 180° = 60°

The sine and cosine of 60° are known:

\sin 60^\circ = \frac{\sqrt{3}}{2}\\\\\cos 60^\circ= \frac{1}{2}

In the unit circle the x-coordinate is the cosine of the angle, and the y-coordinate is the sine of the angle.

Therefore, The coordinates are.

x= -\frac{1}{2}\\\\ y= -\frac{\sqrt{3}}{2}

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Have a great day !

7 0
3 years ago
Help i need the answers by tomorrow ​
miss Akunina [59]

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5 0
3 years ago
Given ABCD, AC=38, and AE=3x+4, find the value of x
sasho [114]

ANSWER

D 5

EXPLANATION

The diagonals bisect each other so,

AE=CE

This implies that

3x+4+3x+4=38

6x+8=38

Group similar terms

6x=38-8

6x=30

x=5

5 0
3 years ago
Read 2 more answers
Algebra 2 (picture shown)
TEA [102]

Answer:

<em>M(13)=14.3 gram</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

The exponential function is used to model natural decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

C(t)=C_o\cdot(1-r)^t

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The element has an initial mass of Mo=970 grams, the decaying rate is r=27.7% = 0.277 per minute.

The equation of the model is:

M(t)=M_o\cdot(1-r)^t

M(t)=970\cdot(1-0.277)^t

Operating:

M(t)=970\cdot 0.723^t

After t=13 minutes the remaining mass is:

M(13)=970\cdot 0.723^{13}

Calculating:

M(13)=14.3 gram

4 0
3 years ago
Which choice shows y = 2x + 2 and y= 2.1 correctly paired with their graphs?
julia-pushkina [17]
The answer is the second option.
5 0
3 years ago
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