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just olya [345]
3 years ago
15

N =⟨−2,  −1⟩ and D=

7D%5Cright%5D" id="TexFormula1" title="\left[\begin{array}{cc}-3&0\\4&1\\\end{array}\right]" alt="\left[\begin{array}{cc}-3&0\\4&1\\\end{array}\right]" align="absmiddle" class="latex-formula">
What is D⋅n?
Mathematics
1 answer:
zepelin [54]3 years ago
5 0

Answer:

6

-9

Step-by-step explanation:

-3(-2) + 0(-1)

4(-2) + 1(-1)

6 + 0

-8 + -1

6

-9

*don't forget to add brackets on each side of every calculation okay :)

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In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest<br> inch.
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Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

m\angle G+m\angle H+m\angle I=180^\circ

30^\circ+29^\circ+m\angle I=180^\circ

59^\circ+m\angle I=180^\circ

m\angle I=180^\circ-59^\circ

m\angle I=121^\circ

According to Law of sines,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Using Law of sines, we get

\dfrac{h}{\sin H}=\dfrac{i}{\sin I}

\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}

\dfrac{300}{0.4848}=\dfrac{i}{0.8572}

Multiply both sides by 0.8572.

\dfrac{300}{0.4848}\times 0.8572=i

530.44554=i

i\approx 530

Therefore, the length of i is about 530 inches.

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