The formula of the length of an arc in a circle is L = $\frac{\alpha }{360}$ × 2πr, where α is the central angle subtended by the arc, and r is the radius of the circle

∵ The radius of the circle is 4 ft

∴ r = 4

∵ ∠AOB is a central angle subtended by minor arc AB

∵ m∠AOB = 50°

∴ α = 50°

Substitute the values of r and α in the rule above

∵ L = $\frac{50}{360}$ × 2π(4)

∴ L = $\frac{10}{9}$ π

∴ The length of minor arc AB is $\frac{10}{9}$ π ft

7 0

4 years ago

a union contract calls for a 6.5% salary increase and the new salary that a worker currently making $58,500 under this contract

irina1246 [14]

58500 x 0.065 = 3802.50

58500 + 3802.50 = 62302.50

7 0

3 years ago

Match the equation with its corresponding solution for x.

Fudgin [204]

To solve for x, you need to isolate/get the variable "x" by itself in the equation:

3x - 3(x + 1) = 3 Distribute/multiply -3 into (x + 1)

3x + (-3)x + (-3)1 = 3

3x - 3x + 1 = 3

1 = 3

Your answer is no solution because the variable "x" is canceled out and 1 ≠ 3

4 0

3 years ago