Answer:
Step-by-step explanation:
<u>The circle has a circumference:</u>
This the is arc of full length θ = 360°
<u>Each degree of arc length is:</u>
- s = 2πr*θ / 360 = πrθ / 180
<u>We have:</u>
<u>The arc length is:</u>
- s = π*6*25/180 = (5/6)π inches terms of π
<u>The same arc is:</u>
- s = (5/6)*3.14 = 2.62 inches (rounded)
Answer:
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A. 6 pounds of apples for $9
9/6=1.5=$1.50 per pound
Answer:
15 yards
Step-by-step explanation:
proportion:
2/5:6/X
2x=30
x=15
we can see that the center is (-3, 3) and the radius is 9 units.
<h3 /><h3>
How to find the center and radius of the circle?</h3>
The general circle equation, for a circle with a center (a, b) and radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
Here we have the equation:
x^2 + y^2 + 6x = 6y + 63
Let's complete squares:
x^2 + y^2 + 6x - 6y = 63
(x^2 + 6x) + (y^2 - 6y) = 63
(x^2 + 2*3x) + (y^2 - 2*3y) = 63
Now we can add and subtract 9, (two times) so we get:
(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63
(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2
(x + 3)^2 + (y - 3)^2 = 9^2
Comparing with the general circle equation, we can see that the center is (-3, 3) and the radius is 9 units.
If you want to learn more about circles:
brainly.com/question/1559324
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