Answer:
or 
Step-by-step explanation:
Let:
Given
Solving (a): The polynomial for the volume in terms of height
Volume (V) is calculated using:
Expand
Open brackets
Rewrite as:
Solving (b): The dimensions when Volume = 180
Substitute 180 for V in:
Rewrite as:
Factorize:
Express 
as difference of two squares
This gives:
Since the height can not be negative, then H = 5 or H = 6
Recall that:
When H = 5
When H = 6
Hence, the dimensions of the box are:
or
Answer:
B=27
Step-by-step explanation:
4/3b-11=25
4B-33=75
4B=75+33
4b=108
B=27
I was never sure of what the "additive inverse" is.
So, just now, just for you, I went and looked it up.
The additive inverse of any number ' A ' is the number
that you need to ADD to A to get zero. That's all !
So now, let's check out the choices:
a), 6, -(-6)
That second number, -(-6), is the same as +6 .
So the two numbers are the same.
Do you get zero when you add them up ? No.
b). -7, 7
What do you get when you add -7 and 7 ?
You get zero.
So these ARE additive inverses.
c). -7, -7
What do you get when you add -7 to -7 ?
You get -14 . That's not zero, so these
are NOT additive inverses.
d). 7, 7
What do you get when you add 7 to 7 ?
You get 14. That's NOT zero, so these
are NOT additive inverses.
e). 6, -6
What do you get when you add 6 to -6 ?
You get zero.
So these ARE additive inverses.
What do we end up with from the list of choices:
a)., c)., and d). are NOT additive inverses.
b). and e). ARE additive inverses.
Answer:
b
Step-by-step explanation:
The two regular pentagons could be differnt sizes, so they are not all congruent hope this helps :)
Answer: 0.27
Step-by-step explanation:
Move the decimal two places to the left
