Answer:
The area of the sector is 
Step-by-step explanation:
we know that
The area of a complete circle (16π units^2) subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector , if the central angle is equal to 8π/5 radians

As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)
1-C 2B 3A correct response
Answer:
4 Units.
Step-by-step explanation:
Answer:
(9,3)
Step-by-step explanation:
4(.25x + .5y = 3.75) → x + 2y = 15
(4x – 8y = 12) → x – 2y = 3
2x = 18
Divide both sides by 2
x = 9
Substitute x = 9 into x + 2y = 15
9 + 2y = 15
Subtract 9 from both sides
2y = 6
Divide both sides by 2
y = 3
Solution
(9, 3)