a circle has a radius of 4.5 inches find the length of the arc outlined by a central angle that measures 0.6pi radians

8.478in

Step-by-step explanation:

Length of an arc = rtheta

r is the radius of the circle = 4.5in

theta  is the central angle = 0.6pi

Substitute

Length of the arc = 4.5 * 0.6pi

Length of the arc = 4.5 * 0.6 * 3.14

Length of the arc = 8.478inches

Hence the length of the arc is 8.478inches

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

c

step-by-step explanation: