I really need help with this Triangle problem

Mathematics

1 answer:

hjlf3 years ago

3 0

Answer:

Step-by-step explanation:

pythagoras theorem

${x}^{2}$

$=225 \times 2 + 225 \times 2 \\$

=900

x=30

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Find the angle between the given vectors to the nearest tenth of a degree.

pochemuha

$\bf \textit{angle between two vectors }\\ \quad \\
cos(\theta)=\cfrac{u \cdot v}{||u||\ ||v||} \implies \cfrac{\text{dot product}}{\text{product of magnitudes}}\\ \quad \\\\
\theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||\ ||v||}\right)\\\\
-----------------------------\\\\
\theta=cos^{-1}\left[ \cfrac{\ \textless \ 8,4\ \textgreater \ \quad \cdot \quad \ \textless \ 9,-9\ \textgreater \ }{(\sqrt{8^2+4^2})(\sqrt{9^2+(-9)^2})} \right]$

$\bf \theta=cos^{-1}\left[ \cfrac{(8\cdot 9)+(4\cdot -9)}{(\sqrt{64+16})(\sqrt{81+81})} \right]\implies \theta=cos^{-1}\left[ \cfrac{36}{(\sqrt{80})(\sqrt{162})} \right]
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\theta=cos^{-1}\left[ \cfrac{36}{36\sqrt{10}}\right]\implies \theta\approx 71.565^o$

6 0

3 years ago

Read 2 more answers

Given: is a diameter m 1 = 100° m BC= 30° m AD= 50 80 100

olganol [36]

Answer:

100

Step-by-step explanation:

1=ad=100

and I need more characters so don't mind me.

8 0

4 years ago