Answer:
B
Step-by-step explanation:
Using the Sine Rule in ΔABC
=
= 
∠C = 180° - (82 + 58)° = 180° - 140° = 40°
Completing values in the above formula gives
=
= 
We require a pair of ratios which contain b and 3 known quantities, that is
= 
OR
=
→ B
9514 1404 393
Answer:
f(x) = x³ +3x² -6x -18
Step-by-step explanation:
In order for there to be a root of √6, there must be a factor of (x-√6). In order for there to be rational coefficients, there needs to be another factor of (x+√6) in the minimal polynomial. Then the minimal polynomial with the required roots is ...
f(x) = (x +3)(x -√6)(x +√6) = (x +3)(x² -6)
f(x) = x³ +3x² -6x -18
Answer:

Step-by-step explanation:
<u>Angles in a Circle</u>
An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.
Segments AE and DE are secants of the given circle. They form an exterior angle called AED.
The measure of an exterior angle is equal to half the difference of the measure of their intercepted arcs.
Intercepted arcs in the given circle are AD=113° and BC=48°. The exterior angle is:



Answer:(9y-7)(9y+7)
Step-by-step explanation:
81y^2-49
=(9y)^2-(7)^2
=(9y-7)(9y+7)