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Tomtit [17]
2 years ago
14

The volume of a right cone is 264 π units. if its circumference measures 12 π units, find its height

Mathematics
1 answer:
abruzzese [7]2 years ago
8 0

Answer:

r = \frac{12\pi }{\pi } / 2 = 6

volume = 1/3 * π * r² * h

h = 3 * V/π * r^{2}

h = \frac{3 * 264\pi }{\pi  * 6^{2} } = 22

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A user’s password to access a computer system consists of 3 letters followed by 2 digits. How many different passwords are possi
Vesnalui [34]

Answer:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

Step-by-step explanation:

For this case we assume that we have 26 letters from A to Z and 10 numbers from 0 to 9 .

And we want to calculate the number of possible passwords possible if the password consists of 3 letters followed by 2 digits.

And for this case we can use the multiplication principle of combinatories, since we don't have any restriction about the letters of the numbers we can have repetition of letters or numbers.

For the number of possible letters:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

7 0
3 years ago
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Liam sarah and Emily share some money in the ratio 2:3:7 Emily got £80 more than liam how much money did sarah get
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Sarah got £48, Liam got £32, and Emily got £112
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3 years ago
Which equations will the number 2 make true?
butalik [34]

Answer:

none of them

Step-by-step explanation:

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3 years ago
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The points (–5, 6) and (5, 6) are vertices of a hexagon. The line segment joining the two points forms one of the sides of the h
xxTIMURxx [149]

The information about the points being vertices that make up a line to represent the side of a hexagon is irrelevant, as we are only looking for the distance of a line based on their x and y coordinates.

Look at the point's x and y coordinates:

First point:

x = -5, y = 6

Second point:

x = 5, y = 6

You'll notice that the y-coordinate for both points is the same (6 = 6). This means that the segment created by the points will be horizontal, since there is only movement on the x-axis if you trace the segment from point to point.

To find the distance between the two points, we'll only need to subtract the first point's x-coordinate from the second:

5 - (-5) = 5 + 5 = 10

The answer will be the following statement:

Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.

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3 years ago
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