A circle has a central angle of 6 rad that intersects an arc of length 14 inches. Which equation find the length of the radius, R, of the circle?

Step-by-step explanation:

θ=l/r

where θ is central angle in degrees.

l=length of arc.

r=radius of circle.

6=14/r

6r=14

r=14/6=7/3 =2 1/3 inches.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places