So for this, you will be doing two different multiplications: 3 x 4 and √8 x √3.
3 x 4 = 12
√8 x √3 = √24
Now our result is 12√24, however, this can be simplified. Using the product rule of radicals (√ab = √a x √b), our simplification is such:
12√24 = 12√(8 x 3) = 12√(4 x 2 x 3) = 2 x 12√(2 x 3) = 24√6
In short, the answer is 24√6, or the first option.
The answer is that it is positive
Lets find the area of the 2 rectangles on the left and right side.
8*7 (2) = 112 (Both rectangles in total)
Now lets find the rectangles on the front and back.
13*7 (2) = 182
Now, the top and bottom ones.
13*8 (2) = 208
Add them all together.
112+182+208 = 502
The surface area is 502.
For 30 hours Julio is paid 30r dollars.
For the extra 5 hours he worked he earns 5*1.4r = 7r dollars
So the equation is
30r + 7r = 436.60
37r = 436.60
r = 436.60 / 37 = 11.80
His normal hourly rate is $11.80 answer