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3 years ago

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What is the value of n in n-2 1/4=1 1/6

1 answer:

Vitek1552 [10]3 years ago

5 0

$n-2\frac{ 1}{4}=1 \frac{1}{6} | +2\frac{1}{4}\\ \\n-2\frac{ 1}{4} +2\frac{1}{4}=1 \frac{1} {6}+2\frac{1}{4} \\ \\n=1 \frac{1} {6}+2\frac{1}{4} \\ \\the \ common \ denominator \ is \ 12 \\ \\n=1 \frac{2} {12}+2\frac{3}{12} =3\frac{2+3}{12}=3\frac{5}{12}$

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$\vec{u_2} = (13, 15)$

Once

$\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}$

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and the norm of $\vec{u_1}$ is $||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}$

and the norm of $\vec{u_2}$ is $||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}$

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