What are two subsets of real numbers that form the set of real numbers

Mathematics

1 answer:

Ulleksa [173]3 years ago

4 0

Answer:

Two subsets that form set of real numbers

You can take positive numbers and negative numbers subset

One subset become (- infinity,0]

other subset (0, infinity)

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Let v1 =(-6,4) and v2=(-3,6) compute the following what i sthe angle between v1 and v2

Agata [3.3K]

$\bf ~~~~~~~~~~~~\textit{angle between two vectors }
\\\\
cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\stackrel{\textit{magnitude product}}{||u||~||v||}} \implies 
\measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right)\\\\
-------------------------------$

$\bf \begin{cases}
v1=\ \textless \ -6,4\ \textgreater \ \\
v2=\ \textless \ -3,6\ \textgreater \ \\
------------\\
v1\cdot v2=(-6\cdot -3)+(4\cdot 6)\\
\qquad \qquad 42\\
||v1||=\sqrt{(-6)^2+4^2}\\
\qquad \sqrt{52}\\
||v2||=\sqrt{(-3)^2+6^2}\\
\qquad \sqrt{45}
\end{cases}\implies \measuredangle \theta =cos^{-1}\left( \cfrac{42}{\sqrt{52}\cdot \sqrt{45}} \right)
\\\\\\
\measuredangle \theta =cos^{-1}\left( \cfrac{42}{\sqrt{2340}} \right)\implies \measuredangle \theta \approx 29.74488129694^o$

8 0

3 years ago

A cereal box is 8 inches by 2 inches by 12 inches. What is its surface area?

dusya [7]

Answer:

192 inches or 16 feet.

Step-by-step explanation:

Surface area is height x width x length, plug in your numbers are you get:

8 inches x 2 inches x 12 inches = 192 inches

4 0

3 years ago

Read 2 more answers