<u>Answer:</u>
The correct answer option is c. a = 11.94.
<u>Step-by-step explanation:</u>
We are given a right angles triangle with an angle ABC equal to 58 degrees and side length AC known to be equal to 19.1.
We are supposed to find the length of side a.
Side AC, opposite to angle ABC, will be the perpendicular and BC will be the base so we will use the formula of tan to find b.
Answer:
(6, 9 ) and r = 3
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 18y + 108 = 0
Rearrange the x- terms and the y- terms together and subtract 108 from both sides, that is
x² - 12x + y² - 18y = - 108
To obtain standard form use the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81
(x - 6)² + (y - 9)² = 9 ← in standard form
with centre = (6, 9 ) and r = = 3