This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this
composite figure? Use 3.14 for it. Show all calculations that lead to the answer and include units. Please provide steps to prove your answer.

148.12m²

Step-by-step explanation:

At first, lets find the area of rectangle.

length = 14m

breadth = 6m

Area of rectangle = length x breadth

= 14 x 6

= 84m²

Now, For the area of sector of the circle,

Given angle (a) = 34

radius = 14m

Area of the sector = a / 360 x pi x r²

= 34/360 x 3.14 x 14²

= 34 / 360 x 3.14 x 196

= 58.12m²

Now adding both areas,

84 + 58.12 = 142.12m²

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