The dimensions of a room are determined by its length, width and height. In this problem we will assign a length of 12', a width of 13', and a height of 8' (as standard ceiling heights in most homes are 8' high). To calculate the amount of molding needed for strips at the top of the room and the bottom of the room we need to find the perimeter of the room. A length of 12' and a width of 13' make this room a rectangle. Determine the perimeter by adding 12' + 13' and multiplying the sum by 2 to get 50'. Multiply 50' x 2 to account for a decorative strip of molding at the floor and the ceiling and you get 100' total molding needed.
Answer:
10√3 which is the last option
Explanation:
√30 * √10 = (30*10)^1/2
= 300^1/2
300 = 100 * 3
Therefore:
√300 = √100 * √3 = 10√3
Hope this helps :)
Answer:
See below
Step-by-step explanation:
3. What are two ways that a vector can be represented?
Considering a vector
in some vector space
we have

This is the component form. I don't like that way. It is probably used in high school, but
is preferable because the inner product on
is defined to be

You can also write it using linear form such as 
4.
For this question, I think you meant
vectors


Once

Considering that the dot product is

and the norm of
is 
and the norm of
is 
Thus,


Answer: 8 37/40
Step-by-step explanation:
Divide 357 by 40!?
Answer:
x=−1 or x=−9
Step-by-step explanation:
x2+11x+10=x+1
Step 1: Subtract x+1 from both sides.
x2+11x+10−(x+1)=x+1−(x+1)
x2+10x+9=0
Step 2: Factor left side of equation.
(x+1)(x+9)=0
Step 3: Set factors equal to 0.
x+1=0 or x+9=0
x=−1 or x=−9