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3 years ago

Is the decimal form of 13/3 a rational number? explain

Mathematics

1 answer:

Bumek [7]3 years ago

3 0

Step-by-step explanation:

The word 'rational' in 'rational numbers' comes from the word 'ratio.' That is because rational numbers are those numbers which can be obtained when one integer is divided by another integer. For example, the number 8 is a rational number because it results when the integer 24 is divided by the integer 3, as in the ratio 24/3.

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2 years ago

Use a matrix to solve the system:

Romashka-Z-Leto [24]

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

$2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\$

Rewrite these equations in matrix form

$\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\$

we can write it like this,

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$A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\$

now multiply the matrix with B

$X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\$

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3 years ago

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Answer:

m MN = 70°

Step-by-step explanation:

∠MLN is an angle formed by the chords ML and LN and is calculated as

∠MLN = 0.5( m arc MN ), that is

35° = 0.5 arc MN ( multiply both sides by 2 )

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a b c

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3 years ago

Is the decimal form of 13/3 a rational number? explain ​

Is the decimal form of 13/3 a rational number? explain