Let the amount B pays be £x
So,
A pays £125
B pays £x
They pay in the ration 3:2
Therefore,
125/x = 3/2
Cross multiplying we get,
125 x 2 = 3x
3x = 250
x = £63.33
Answer: the length of the arc from her dog house to the hydrant is 69 feet
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,
Radius, r = 24 feet
θ = 165 degrees
Therefore,
Length of the minor arc, DG = 165/360 × 2 × 3.14 × 24
Length of arc = 69 feet rounded up to the nearest feet.
Answer in image.
Knowledge point: Trigonometry - tangent concept
