Answer:
B because 5/6 is roughly .83, which is bigger than .8
Step-by-step explanation:
Step-by-step explanation:
Answer:
The length of segment AC is 10 units ⇒ 1st answer
Step-by-step explanation:
Look to the attached figure
In circle A
∵ AB is a radius
∵ BC is a tangent to circle A at B
- The radius and the tangent are perpendicular to each other
at the point of contact
∴ AB ⊥ BC at point B
∴ m∠ABC = 90°
In ΔABC
∵ m∠B = 90°
∵ AB = 8 units
∵ BC = 6 units
- By using Pythagoras Theorem (Square the hypotenuse is
equal to the sum of the squares of the other two sides of
the triangle)
∵ (AC)² = (AB)² + (BC)²
∴ (AC)² = (8)² +(6)²
∴ (AC)² = 64 + 36
∴ (AC)² = 100
- Take √ for both sides
∴ AC = 10 units
The length of segment AC is 10 units
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10q-3r=14, 10q=3r-14 10q=3r/10+14/10
q=3/10r+7/5
Answer:
2.82500
Step-by-step explanation:
Answer:
The equation of the circle is (x -8)² + (y -4)² = 184.96
Step-by-step explanation:
In order to determine the equation of this circle we first need to calculate the coordinates of the center, which are given by the difference of the coordinates divided by two. We have:
Xc = [13 - (-3)]/2 = (13 + 3)/2 = 16/2 = 8
Yc = (11 - 3)/2 = 8/2 = 4
Therefore the center is (8,4). We now need to find the radius of the circle, which is given by the distance from the center to one of the points given:
r = sqrt{[8 - (-3)]² + (11 - 3)²} = sqrt(11² + 8²) = 13.60
The equation of a circle is given by:
(x - Xc)² + (y - Yc)² = r²
(x -8)² + (y -4)² = (13.6)²
(x -8)² + (y -4)² = 184.96