Answer:
<h2>11.72cm</h2>
Step-by-step explanation:
Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.
Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);
hyp² = opp² + adj²
Let the opposite be the 9cm length
Adjacent will be half of the chord length = 15/2 = 7.5cm
Substituting this values into the formula we will have;
hyp² = 9² + 7.5²
hyp² = 81+56.25
hyp² = 137.25
hyp² = √137.25
hyp = 11.72
<em></em>
<em>Hence the radius of the circle is approximately 11.72 cm long</em>
The answer she has is not correct.
All the steps she did are correct, except they forgot to convert the decimal answer into the proper percentage by multiplying it by 100.
The correct answer should be 0.125 * 100 = 12.5%
Angles A and B are exactly the same because
they are congruent angles
Hope This Helps!!!!!
Answer:
c. 5x + 25
Step-by-step explanation:
5( x + 5)
5×x + 5×5
5x + 25
Please see picture above.
