What is the approximate sector area of a sector defined by minor arc CB?

d. 7.5 cm²

Step-by-step explanation:

Area of sector = central angel/360 × πr²

Central angle = 180° - 84° = 96° (supplementary angles)

BA = radius (r) = ½(6) = 3 cm

Plug in the values

Area of sector = 96/360 × π*3²

= 7.53982238

= 7.5 cm² (nearest tenth)

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