Answer: 28 cube boxes.
Step-by-step explanation:
The volume of a cube can be found with this formula:
Where "s" is the lenght of any edge of the cube.
You need to find the volume of a cube box:
To find the volume of the shipping box, first we must convert the mixed number to an improper fraction. To do it, multiply the whole number part by the denominator of the fraction and add this product to the numerator.
The denominator does not change.
Then:
Knowing the dimensions of the shipping box, you can calculate its volume by multiplying its dimensions. Then, this is:
Finally, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube:
For a, we have 42in/9ft. Since 12 inches are in 1 foot, we can multiply it by that to get (42in/9ft)*(1ft/12inches) = 42/108. We put the foot on the top of 1ft/12in to cancel them out. Since 2 goes into both 42 and 108, we divide it by 2/2 to get 26/54. Repeating the process again, we get 13/27
If we were to say that there are 12 inches in a foot and therefore divide 42 by 12 (to get 42 inches in feet), we'd get the same answer due to that 1 foot is equal to 12 inches and if you were to divide it by 1 foot/12 inches, since they are the same thing, you get the same answer
For c, since it may be hard to get (42/12)/9, it could just be easier to have 42/(9*12)=42/108
D because the total was 40.25
16² = 18² + 19² - 2(18)(19)cos(z)
256 = 324 + 361 - (684)cos(z)
256 = 685 - (684)cos(z)
-429 = -684cos(z)
cos(z) = -429/-684
z = cos⁻¹ (0.627)
z = cos⁻¹ (cos 51) [ Cos 51 = 0.627 ]
z = 51
In short, Your Answer would be: 51
Hope this helps!
Answer:
3.5
Step-by-step explanation:
[(3 x 2) - 2 x 1.25] = [6 - 2 x 1.25]
= [6 - 2.5]
= 3.5
