Answer:
15 cm.
Step-by-step explanation:
It is given that,
Central angle 
Arc length = 33 cm
Formula for arc length :
where, s is arc length, r is radius and 
is central angle in radian.
Substitute s=33 and 
in the above formula.
Multiply both sides by 10.
Divide both sides by 
.
Put 
Therefore, the radius of the circle is 15 cm.
Answer:
120°
Step-by-step explanation:
Sum of angles = (n-2)180°, where n is the number of sides.
This is a hexagon, so n=6.
Sum of angles = (6-2)180° = 720°
Each interior angle = 720°/6 = 120°
Answer:
(4,1)
Step-by-step explanation:
The vertex of the quadratic can be found using -b/2a. The vertex is the point (-b/2a, f(-b/2a)).
To find the x coordinate of the quadratic, define its a,b, and c. The quadratic has a = 2, b=-16, and c=31. Then -b/2a is -(-16)/2(2) = 16/4 = 4.
To find the y-coordinate, input the x=4 and solve for y.
The vertex is (4,1).
Answer:
20.7
Step-by-step explanation:
cos 51 = 13/x
x = 13/cos 51
= 20.7
