We know that the summation of angles of a triangle is 180<span>°. Then we find angle of C by,
</span>m∠A + m∠B + m∠C=180°
80° + 50° + m∠C=180°
m∠C=180°- 80°+ 50°
m∠C=50°
Since we now angle of C, we can use Sine Law in solving for AC
sinC/AB=sinB/AC
sin50°/6 =sin50°/AC
AC=6cm
Therefore, AC is equal to 6cm.
Answer:
2
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
Plug in 16 to the function:
f(16)=1/3(4-16)^2
=1/3(-12)^2
=144(1/3)
=48
Answer:
20
Step-by-step explanation:
Since the line of length 16 is a tangent to the circle, then the angle between it and the radius is right.
? is the hypotenuse of the right triangle formed.
Using Pythagoras' identity on the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
?² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )
? =
= 20