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madreJ [45]
2 years ago
12

A pyramid has a square base. The base edge is one-half of the height of the pyramid. If the base edge is 6 units, what is the vo

lume of the pyramid
Mathematics
1 answer:
Flura [38]2 years ago
4 0

Answer:

144 cubic units

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Find the greatest common factor of 18, 36, and 45.
Dovator [93]
Your greatest common factor is 9.

9 * 2 = 18
9 * 4 = 36
9 * 5 = 45

3 0
4 years ago
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In a class of P students, the average of test scores is 70. In another class the average test scores is 92. When scores of the t
Basile [38]

So, since averages are defined as:

\frac{\sum_{k=1}^{P} P_k}{P}=70

So, since P are the total number of elements and P_k is the P_kth student. This is saying if we sum over each student's score and divide it by the number of students, we should get P, which is true.

So, using that logic, the other class can be represented as:

\frac{\sum_{k=1}^{N} N_k}{N}=70

We can take both of these equations and multiply them by N:

\sum_{k=1}^{P} P_k=70P

\sum_{k=1}^N N_k=92N

So, if we want to find the average of this we should add both our equations then divide by P+N, which is the number of all the students.

\frac{\sum_{k=1}^{P} P_k+\sum_{k=1}^{N}N_k}{N+P}=\frac{70P+92N}{N+P}

To make this simpler we can replace our LHS with 86, since that's the average of both classes combined.

86=\frac{92N+70P}{N+P} \implies\\ 86N+86P=92N+70P \implies \\ 16P=6N \implies \\ \frac{16P}{N}=6 \implies \\ \frac{P}{N}=\frac{6}{16}

Simplified we would have P/N=3/8.

7 0
3 years ago
What is the 4th term of the sequence? <br> a1 = 8 and an = 6 + an – 1 <br> a4 =
Lady_Fox [76]
\bf \begin{array}{ll}&#10;term&value\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;a_1&8\\\\&#10;a_2&6+a_{n-1}\\&#10;&6+a_{2-1}\\&#10;&6+a_1\\&#10;&6+8\\&#10;&14\\\\&#10;a_3&6+a_{3-1}\\&#10;&6+a_2\\&#10;&6+14\\\\&#10;a_4&6+a_{4-1}\\&#10;&6+a_3&#10;\end{array}

notice, is an arithmetic sequence, simply adding 6 to get the next term's value.
7 0
3 years ago
The sum of 2 numbers is 55 and the difference is 1. what are the numbers
Scrat [10]
First no. = x
Second no. = y

Equation Formation
x + y = 55..........equation (i)
x - y = 1..............equation (i)

x = 1+y

1 + y + y = 55
1 + 2 y = 55
2 y = 55-1
2 y = 54
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x=27 + 1
x =28

Answer = 28 , 27

7 0
3 years ago
402053 rounded to the nearest thousand
TiliK225 [7]
The answer is 402000
5 0
3 years ago
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