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MrRissso [65]
3 years ago
14

Which shows how to determine the volume of the pyramid? A square pyramid with a base of 3 meters by 3 meters and a height of 5 m

eters. V = one-third (3) (3) (5) V = one-half (3) (5) V = one-half (3) (3) (5) V = one-third (3) (5)
PLEASE HELP!!
Mathematics
2 answers:
deff fn [24]3 years ago
5 0

Answer:

The first one

Step-by-step explanation:

OLga [1]3 years ago
4 0

Answer:

A

Step-by-step explanation:

You might be interested in
The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the ge
Leno4ka [110]

Answer:

Infinite number of solutions.

Step-by-step explanation:

We are given system of equations

5x+4y+5z=-1

x+y+2z=1

2x+y-z=-3

Firs we find determinant of system of equations

Let a matrix A=\left[\begin{array}{ccc}5&4&5\\1&1&2\\2&1&-1\end{array}\right] and B=\left[\begin{array}{ccc}-1\\1\\-3\end{array}\right]

\mid A\mid=\begin{vmatrix}5&4&5\\1&1&2\\2&1&-1\end{vmatrix}

\mid A\mid=5(-1-2)-4(-1-4)+5(1-2)=-15+20-5=0

Determinant of given system of equation is zero therefore, the general solution of system of equation is many solution or no solution.

We are finding rank of matrix

Apply R_1\rightarrow R_1-4R_2 and R_3\rightarrow R_3-2R_2

\left[\begin{array}{ccc}1&0&1\\1&1&2\\0&-1&-3\end{array}\right]:\left[\begin{array}{ccc}-5\\1\\-5\end{array}\right]

ApplyR_2\rightarrow R_2-R_1

\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&-1&-3\end{array}\right]:\left[\begin{array}{ccc}-5\\6\\-5\end{array}\right]

Apply R_3\rightarrow R_3+R_2

\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&0&-2\end{array}\right]:\left[\begin{array}{ccc}-5\\6\\1\end{array}\right]

Apply R_3\rightarrow- \frac{1}{2} and R_2\rightarrow R_2-R_3

\left[\begin{array}{ccc}1&0&1\\0&1&0\\0&0&1\end{array}\right]:\left[\begin{array}{ccc}-5\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]

Apply R_1\rightarrow R_1-R_3

\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]:\left[\begin{array}{ccc}-\frac{9}{2}\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]

Rank of matrix A and B are equal.Therefore, matrix A has infinite number of solutions.

Therefore, rank of matrix is equal to rank of B.

4 0
3 years ago
Can someone help me?
sineoko [7]

Answer:

x=4

Step-by-step explanation:


4 0
3 years ago
Tom saves $750 a year. Bill saves $60 a month. How much more does Tom save a year than Bill?
Contact [7]

Answer:

$30

Step-by-step explanation:

T = 750

B = 60(12)

T - B = X

750 - 720 = 30

3 0
3 years ago
Read 2 more answers
What is the simplified form of the following expression?(x10)(x2) x8 x12 x20 x100
notka56 [123]
I believe the answer would be x20. Between the two parentheses there's a multiplication symbol. So you would just pretend that the parentheses aren't there cause the variable(s) (x) is/are like terms. So you would just multiply 10 times 2 and put out the x back in front of it
6 0
3 years ago
Read 2 more answers
a computer costs 400 dollars. Its 20 percent off with an additional 5 percent off, there's no sales tax. How much does the compu
zhenek [66]

The computer costs $304 now.

Step-by-step explanation:

Given,

Cost of computer = $400

First discount = 20%

Amount of discount = 20% of $400

Amount of discount = \frac{20}{100}*400=\frac{8000}{100}

Amount of discount = $80

Price after first discount = 400-80 = $320

Additional discount = 5%

Amount of additional discount = 5% of price after first discount

Amount of additional discount = \frac{5}{100}*320=\frac{1600}{100}

Amount of additional discount = $16

Final cost = 320-16 = $304

The computer costs $304 now.

Keywords: discount, subtraction

Learn more about subtraction at:

  • brainly.com/question/10435816
  • brainly.com/question/10435836

#LearnwithBrainly

4 0
3 years ago
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