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bonufazy [111]
2 years ago
5

The diameter of a basketball is about 19 inches what is the volume of the basketball

Mathematics
1 answer:
egoroff_w [7]2 years ago
5 0
<span>2019.118125
the formula for volume of a sphere is v=.75(pi)r³</span>
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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
I don’t know how to solve this please help I’ll give you 60 points
goldfiish [28.3K]

Answer:

x=58

FDE=61

Step-by-step explanation:

Since FDA and ADC are supplementary angles, their angle measures add up to 180 degrees. You can therefore write down the following equation:

2x+3+x+3=180

3x=174

x=58 degrees

FDE=ADC= x+3=61 degrees. Hope this helps!

7 0
3 years ago
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A recipe for 3 cups of snack mix calls for 1··2cup of pretzels. You can describe this as 3 cups of snack mix for every 1··2cup o
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Answer:

i do not know

Step-by-step explanation:

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2 years ago
The cost of silver is a function of the weight,<br> what is the output when the input is 15
Vladimir79 [104]

Answer:

rupee 300 will be the correct answer

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2 years ago
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E. What would be the equation for the inverse function if you restricted the domain to x &gt; -6?
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first like and follow and mark in brainliest answer then only I will tell the answer

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