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Anna [14]
4 years ago
6

you a Miguel Cervantes de Navas y Colon, captain in the Royal Spanish Army in Seville in the year 1842. Outside your barracks wi

ndow is a stack of cannonballs, as shown in the illustration. On an idle afternoon you decide to calculate the number of cannonballs in the stack. what is the number of cannonballs.

Mathematics
1 answer:
hichkok12 [17]4 years ago
3 0

<u>650 cannonballs </u>

Explanation step by step:

  • upper layer = 1 ^ 2

  • second layer = 2 ^ 2

  • third layer = 3 ^ 2

layer 12 is 12 ^ 2

<u>The formula is: </u>

<u>n * (n + 1) * (2n + 1) / 6 </u>

<u>n = 12 </u>

<u>12 (12 + 1) (2 * 12 + 1) / 6 </u>

<u>12 * 13 * 25/6 = </u>

<u>650 </u>

<u>There are 650 cannonballs in this pyramid.</u>

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Which of the following expressions is equivalent to the expression -5(3x + 8)
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For every 1 litre of water used to make a medicine, 199 ml of sucrose and 47 ml of saline solution are used. Express the amount
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Process:

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3 0
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19. A certain type of luggage has room for three initials. How many
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The number of different 3-letter arrangements of letters is 15600 arrangements

The question has to do with permutations

<h3>What are permutations?</h3>

Permutations are the number of ways of arranging n objects in x ways. It is given by N = ⁿPₓ = n(n - 1)(n - 2)...(n - x + 1)

<h3>How many different 3-letter arrangements of letters are possible?</h3>

Since we have three initials for the luggage, and we have 26 letters of the alphabet. We have 26 letters to be permutted or arranged in 3 ways.

So, the number of arrangements is ²⁶P₃ = 26 × 25 × 24

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So, the number of different 3-letter arrangements of letters is 15600 arrangements

Learn more about number of arrangements here:

brainly.com/question/27863219

#SPJ1

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