Answer:
4.80 units (3 s.f.)
Step-by-step explanation:

Hence, length of AB
= √(11+1)^2 - (8+3)^2
= √ 12^2 -11^2
= √ 23
= 4.80 units (3 s.f.)
Answer:
Range is 3 <= g(x) <= 27.
Step-by-step explanation:
The range is the values of g(x) for the given domain.
When x = 0 g(x) = 3(0)^2 - 6(0) + 3 = 3.
When x = 4 g(x) = 3(4)^2 - 6(4) + 3 = 27.
Answer:
4
Step-by-step explanation:
The number of shelves must be a factor of the number of books from each category. (Because you are using multiple shelves). You are looking for the greatest amount, so you need to greatest, common factor (GCF) from each bunch of books.
GCF of 12, 16, 32 is 4.
Answer:
10
Step-by-step explanation:
We know there are 5 quarts.
There are 2 pints for each quart.
This can be though of as a ratio of:
2 : 1
There are 5 quarts, which is 5 times bigger than the ratio of 1.
So this means we need to mutliply both sides of the ratio by 5, to make the quarts equivelent to 5:
2*5 : 1*5
=
10 : 5
So for every 5 quarts there are 10 pints.
Hope this helps!
If you keep the radius the same and double the height, you find that by experimentation with this a few times, doubles your volume as well. That means that instead of 1/3 pi r^2 h, we will have 2/3 pi r^2 h. Your answer B.