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abruzzese [7]
3 years ago
5

A cylinder trash can is 4.5 feet tall and holds 56.52 cubic feet of trash. What is the area of its base?

Mathematics
1 answer:
Tomtit [17]3 years ago
6 0

By definition, the volume of a cylinder is given by:

V = A * h

Where,

A: area of the base

Cylinder height

Clearing the area of the base we have:

A = V / h

Substituting values we have:

A = 56.52 / 4.5\\A = 12.56 feet ^ 2

Answer:

the area of its base is:

A = 12.56 feet ^ 2

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Three stamps can be attached to each other in various ways.how many ways might three stamps be attached?
ivanzaharov [21]
Let's call the stamps A, B, and C. They can each be used only once. I assume all 3 must be used in each possible arrangement.
There are two ways to solve this. We can list each possible arrangement of stamps, or we can plug in the numbers to a formula. 
Let's find all possible arrangements first. We can easily start spouting out possible arrangements of the 3 stamps, but to make sure we find them all, let's go in alphabetical order. First, let's look at the arrangements that start with A:
ABC
ACB
There are no other ways to arrange 3 stamps with the first stamp being A. Let's look at the ways to arrange them starting with B:
BAC
BCA
Try finding the arrangements that start with C:
C_ _
C_ _
Or we can try a little formula; y×(y-1)×(y-2)×(y-3)...until the (y-x) = 1 where y=the number of items.
In this case there are 3 stamps, so y=3, and the formula looks like this: 3×(3-1)×(3-2).
Confused? Let me explain why it works.
There are 3 possibilities for the first stamp: A, B, or C. 
There are 2 possibilities for the second space: The two stamps that are not in the first space.
There is 1 possibility for the third space: the stamp not used in the first or second space. 
So the number of possibilities, in this case, is 3×2×1.
We can see that the number of ways that 3 stamps can be attached is the same regardless of method used.


8 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2By%5E%7B2%7D%5Cleq%201%5C%5Cy-x%5E%7B2%7D%5C%20%20%5Ctextgreater%20%5C%200" id
Ilya [14]

Answer:

hi how are you

good afternoon

7 0
3 years ago
What is 5⅜ - 3⁸/⁹ ?​
lesya692 [45]

Answer:

1 35/72

Step-by-step explanation:

7 0
3 years ago
How many yards in 1/4 of a mile
vekshin1
440 yards in 1/4 of a mile
5 0
3 years ago
Read 2 more answers
Can anyone help me with this, I’ll give out brainliest. NO LINKS.
Sliva [168]

Answer:

89.132 inch

Step-by-step explanation:

“this shape is made up of one half-circle attached to a square with side lengths 16 inches. You can use 3.14 as an approximation.”

so, the square has a perimeter of 16 inch, four sides that will be 64 inch

then the half circle rule of perimeter of half circle: πr + 2r

=> perimeter of semicircle = π * 8 +2 * 8 = 41.132 inch

<em>without the bottom line of half circle= 41.132 -16 = 25.133 inch</em>

<em />

So total 25.133 + 64 =89.132 inch

have a great day and nc question

4 0
2 years ago
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