Use the unit circle to find the value of tan (-180º).

B. tan (-180°) = 0

Step-by-step explanation:

Tangent is the ratio of opposite to adjacent to an angle

From the unit circle; the opposite to our angle -180° is 0

The adjacent along the x-axis is 1

Therefore;

Tan (-180°) = 0/1

              = 0

Therefore; Tan (-180°) is 0

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

abby has a greater debt becasue she owea 5 more then alan does