Fiona races BMX around a circular dirt course. If the radius of the course is 70 meters, what is the total distance Fiona covers in two laps of the race?

 The total distance Fiona covers in two laps of the race = 880 meters

Step-by-step explanation:

Given : Fiona races BMX around a circular dirt course.

The radius of the course is 70 meters.

Then , Circumference  of circular dirt course =

=      

Now , the total distance Fiona covers in two laps of the race = 2 x (Circumference  of circular dirt course)

= 2 x (440 meters)

= 880 meters

Hence, the total distance Fiona covers in two laps of the race = 880 meters

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