What is the surface area of the figure shown?

The surface area of the figure = 962 ft²

Step-by-step explanation:

The rectangle dimensions and its area given below

Dimensions       Number         Area

12 x 7                2                   12 x 7 x 2 = 168

16 x 7                1                    16 x 7 = 112

12 x (16 + 5)     1                    12 x 21 = 252

16 x 12              1                    16 x 12 = 192

16 x 13              1                     16 x 13 = 208

Triangle dimensions

Dimensions           Number         Area

b = 12  & h = 5       2                bh/2 = (12*5)/2  = 30

To find total area

Total area = 168 + 112 + 252 + 192 + 208 + 30 = 962 ft²

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

there are infinitely many solutions.