2x-y=10
3x-2y=8
-y= -2x +10 multiply by(-1)
y=2x-10
3x-2(2x-10)=8
3x-4x+20=8
-x=-12 multply by (-1)
x=12
24-y =10
-y=-14
(12,14)
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:

Step-by-step explanation:
Given



Required
Determine the total miles


Convert to improper fractions

Take LCM



Being able to do this problem hinges mainly on your knowing the definitions of the trig functions and being able to read side lengths from the given diagram.
csc theta = hypotenuse / opp side = 4 / √(4^2 + 5^2) = 4 / √41.
sin theta is the reciprocal of csc theta, or √41 / 4.
cot theta is adj side / opp side = 5/4.