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klemol [59]
3 years ago
6

A circle centered at the origin has a radius of 10 units. The terminal side of an angle, Theta, intercepts the circle in Quadran

t I I at point C. The y-coordinate of point C is 8. What is the value of cosine theta?
Mathematics
1 answer:
Tanzania [10]3 years ago
7 0
Since the circle is centered at the origin, we can use the equations
x² + y² = r²
x = r cos θ
y = r sin θ

We know y = 8 and r = 10. Solving for x
x² + 8² = 10²
x = 6

From this equation:
x = r cos θ
6 = 10 cos θ
cos θ = 6/10 = 0.6
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Variable c is 5 more than variable
shutvik [7]
First, let us restate the given conditions

c is 5 more than variable a ( c = a + 5)
c is also three less than variable a (c = a - 3)

Now, lets look at the answer choices and or given
c = a − 5 
c = a + 3
Here, c is 5 less than "a"...so automatically disqualified

a = c + 5
a = 3c − 3 
Here, we have to get "C" by itself in both top and bottom equation.
So,
Simplified version :
c = a - 5
Here, c is 5 less than "a"...so automatically disqualified


a = c − 5
a = 3c + 3
Here also, we have to get "C" by itself in both top and bottom equation.
So, 
simplified version:
c = a + 5
Here, c is 5 more than "a"...so we continue
c = (a - 3) / 3
Here, c is 3 less than "a" <u>divided by 3</u><u /> . So, this is not correct

c = a + 5
c = a − 3
Here, c is 5 more than "A"
Also, c is 3 less than "a"
Which satisfies the given.

 So, our answer is going to be the last one:
 
 c = a + 5
 c = a - 3
7 0
3 years ago
Read 2 more answers
HELP DUE IN 5 MINUTES
Dafna1 [17]

Answer:

100C=m

Step-by-step explanation:

If 250 copies are made in 2.5 minutes, you get the equation:

250c=2.5m

divide by 2.5 on both sides and you get:

100c=m

So in m minutes, 100c copies are made.

7 0
3 years ago
Help me plz really need to get this done
Montano1993 [528]
3.3 
6 \frac{7}{8} = \frac{55}{8}

-1/8 - 55/8 = -56/8 = -7 

3.4 
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3.5
-19/2 ÷ 38/7  <=> -19/2 x 7/38 and simplify = -7/4

3 0
3 years ago
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Simplify the expression 43 + 2(3 − 2)
Sonja [21]

Answer:

))))))

Step-by-step explanation:

43+2(3-2)=43+2*3-2*2=43+6-4=45

8 0
3 years ago
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1. Which one of the following statements is true of perpendicular lines?
Dovator [93]
Only D is correct, it intersects at 90 degrees so it cant be obtuse or acute and never intersecting would be parallel lines <span />
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