Answer:12/18 = 6/9 = 2/3
Step-by-step explanation:
Answer: the diameter of the circle is 226 cm
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Length of arc = 88π
θ = 140 degrees
Therefore,
88π = 140/360 × 2 × π × r
88π = 140/360 × 2 × π × r
Dividing both sides of the equation by π, it becomes
88 = 140/360 × 2r
88 × 360 = 140 × 2r = 280r
280r = 31680
r = 31680/280
r = 113 cm
Diameter = radius × 2
Diameter = 113 × 2 = 226 cm
Answer:
(x, y) = (-6, -4)
Step-by-step explanation:
The solution can be found quickly using a graphing calculator. It is the point of intersection of the two lines.
_____
If you like, you can solve the system algebraically. The second equation can be rewritten to give ...
y = x +2
Substituting this into the first equation gives ...
5/3x -2(x +2) = -2
-1/3x -4 = -2
Adding 4 and multiplying by -3 gives ...
x = -3(-2+4) = -6
Then our equation for y tells us ...
y = -6 +2 = -4
The solution is (x, y) = (-6, -4).
Step-by-step explanation:
How many ways are there to select 3 candidates from 8 equally qualified recent graduates for
openings in an accounting firm?
Answer:
y=1/2x-2
you write it in y=mx+b form
