Given:
Area of a sector = 64 m²
The central angle is 
.
To find:
The radius or the value of r.
Solution:
Area of a sector is:
Where, r is the radius of the circle and 
is the central angle of the sector in radian.
Putting 
, we get
Taking square root on both sides, we get
Therefore, the value of r is 
m.
Answer:
List is {-2i, 2i, -4)
Step-by-step explanation:
This is a third order polynomial, so we expect three roots (solutions).
Note that we can factor this expression by grouping:
(x²)(x + 4) + (4)(x + 4) = 0, or
(x + 4)(x² + 4) = 0
The factor (x + 4) corresponds to the root/solution x = -4, and:
The other factor (x² + 4) corresponds to the roots/solutions x = 2i and x = -2i.
List is {-2i, 2i, -4)
The cost of manufacturing 
units is
, where 
cost per unit and 
fixed cost.
Given that
Subtract the second equation from the second,
The variable cost per unit is 
.
Answer:
0
Step-by-step explanation:
Substitute the value of x to the 2nd equation
3(2y-4)-6y=-12
6y-12-6y=-12
0=0
Step-by-step explanation:
answer is in photo above
