To add with powers, both the variables and the exponents of the variables must be the same. You perform the required operations on the coefficients, leaving the variable and exponent as they are. When adding with powers, the terms that combine always have exactly the same variables with exactly the same powers
http://www.wikihow.com/Add-Exponents#Adding_Variables_with_Exponents_sub
Answer:
-26 < 54
Step-by-step explanation:
Answer:
He'll be able to make 6 shelves.
Step-by-step explanation:
In order to know haw many shelves he can make we need to take the total amount of material and divide it by the amount of material required for each shelve. We have:
total amount = 83 1/2 inches = 83.5 inches
amount per shelve = 12 3/4 inches = 12.75 inches
amount of shelves = total amount/amount per shelve
amount of shelves = 83.5/12.75 = 6.55 shelves
Since he can't make half shelves he'll be able to make 6 shelves and have left over material.
If we were to fold this into a prism, the rectangle on the left would be the base. The short sides of the triangles would fold to meet up with the 5 inch sides of the base. Then the rectangle on the right would fold down and fit between the two triangles, meeting up with the base. Visualizing the shape in 3 dimensions allows us to figure out the lengths of some sides. For example, the short sides of the triangles both equal 5 inches. Also, the long sides of the triangles equal 13 inches and the long side of the base is 8 inches.
The surface area is the area of all the surfaces.
8*5=40
8*12=96
2*(0.5*5*12)=60
13*8=104
Add these up..
40+96+60+104=300 in^2