Answer: radius = 47.8 inches
Step-by-step explanation:
An arc is a portion of the circumference of the circle. 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,
θ = 60 degrees
Length of arc = 50 inches
Therefore,
50 = 60/360 × 2 × 3.14 × r
Cross multiplying by 360, it becomes
18000 = 376.8r
r = 18000/376.8
r = 47.8 inches
Answer: 18x^2 + 48x - 50
Step-by-step explanation: In order to determine the area of the rectangle not covered by the turtle pond, we shall calculate the area of the square pond and subtract it from the area of the rectangle.
The area of the square is given as
Area = L x B, where A and B are of equal measurement (sides of a square)
Area = 8 x 8
Area = 64 ft^2
Next we calculate the area of the rectangle which is given as
Area = L x B, where L = 6X + 2 and W = 3X + 7
Area = (6X + 2) (3X +7)
Area = 18X^2 + 42X + 6X + 14
Area = 18X^2 + 48X + 14
We can now subtract the area of the square from the area of the rectangle
That is Area of the shaded region
= 18X^2 48X + 14 - 64
= 18X^2 + 48X - 50
Therefore, the area of the shaded region = 18X^2 + 48X - 50
It rained 1 and 4/10 centimeters. You have to first figure out what adds up to 14, which is 1/10. Then you add 1 to get 15 and 3/10 to get 15 3/10.
There is no figure below.
