Answer:
Step-by-step explanation:
<u>The side of the square is w/2, then its area is:</u>
<u>The shaded area is the difference of areas of the rectangle and the square:</u>
<u>This can be simplified:</u>
- 56w - w² = 336
- w² - 56w + 336 = 0
We have a bunch of rectangles making up the lateral sides of this figure. They have side length 12 and height 13.
So the area of one rectangle is 12 x 13 = 156.
We have 6 of these rectangles, so our lateral area is 6(156) = 936.
The total surface area requires that we include the area of the base. To find the area of a regular polygon we take half of the product of the apothem and perimeter.
A = (1/2)*a*p
The apothem is given to be 10.39,
and the perimeter is fairly easy to calculate:
With the side length being 12, the perimeter is then 6(12) = 72.
So then the area of our base is (1/2)*10.39*72 = 374.04
So then the total surface area is the (base area) + (lateral area),
374.04 + 936 = 1310.04
Answer:
3.6
Step-by-step explanation:
d = sqrt(3^2+2^2) = sqrt(13) = 3.6
First you have to do 440 / 20, which is 22 cents per bottle
Next you have to do 480 / 24, which is 20 cents per bottle
20 < 22, so the 24 ounces of shampoo is the correct answer.
You can take the -1 times the final answer and keep the denominator as positive, or keep track of all the negatives.
