What is the arc length of a circle that has a 7-centimeter radius and a central angle that is 40 degrees? use 3.14 for π and round your answer to the nearest hundredth.

4.88 centimeters

Step-by-step explanation:

1. First you need to convert the 40 degrees into a radius; use the degrees to radius formula:

radius = degree ×

radius = 40° ×

radius =

2. Find the GCF between 40 & 180 And divide the numbers by it (20)

radius =

3. Now use the arc length formula Θ

r = radius

Θ = central angle

s ≈ 4.88

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.