Answer:
C
Step-by-step explanation:
Using the sine ratio in the right triangle.
sinC = =
=
, thus
∠ C = (
) ≈ 34.85° ( to 2 dec. places )
To qualify for the championship, a runner must complete the race in less than 40 minutes. Use t to represent the time (in minute
1 answer:
You might be interested in
Answer:
see explanation
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 - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r = = 3
this is shown in graph b