Please help me with this thanks

442.5 feet^2

Step-by-step explanation:

So this figure is an octagonal prism.

First off we need to find the area of the two octagons.

The formula for the area is 2(1+ to the square root of 2)a^2.

The a is one side value and in this case it is 4 so plug that in and you get 77.25 feet^2.

The same steps apply for the bottom octagon but we don’t have to do that because it is the same as the top one.

So adding up the two octagons is 154.5 feet^2.

Now time for the rectangles.

In total there are 8 rectangles and a really easy way to do this is finding the area of one rectangle and multiplying that by 8.

So the length is 9 and the width is 4 and when you multiply that together you get 36.

Then multiply 36 by 8 and you will get 288 feet^2.

So when you add up 288 and 154.5 you will get 442.5 feet^2 as your final answer.

75%

step-by-step explanation:

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