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vekshin1
3 years ago
13

Solve 8 Divided by 0

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0
You can't divide by 0. It is impossible.
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I have to use trigonometric identities to solve. But I’m having trouble finding the values of cos A and sin B. Can anyone help m
katrin [286]

let's notice something, angles α and β are both in the I Quadrant, and on the first quadrant the x-coordinate/cosine and y-coordinate/sine are both positive.

\bf \textit{Sum and Difference Identities} \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(\alpha)=\cfrac{\stackrel{opposite}{15}}{\stackrel{hypotenuse}{17}}\impliedby \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}

\bf \pm\sqrt{17^2-15^2}=a\implies \pm\sqrt{64}=a\implies \pm 8 = a\implies \stackrel{I~Quadrant}{\boxed{+8=a}} \\\\[-0.35em] ~\dotfill\\\\ cos(\beta)=\cfrac{\stackrel{adjacent}{3}}{\stackrel{hypotenuse}{5}}\impliedby \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}

\bf \pm\sqrt{5^2-3^2}=b\implies \pm\sqrt{16}=b\implies \pm 4=b\implies \stackrel{\textit{I~Quadrant}}{\boxed{+4=b}} \\\\[-0.35em] ~\dotfill

\bf cos(\alpha - \beta)=\stackrel{cos(\alpha)}{\left( \cfrac{8}{17} \right)}\stackrel{cos(\beta)}{\left( \cfrac{3}{5} \right)}+\stackrel{sin(\alpha)}{\left( \cfrac{15}{17} \right)}\stackrel{sin(\beta)}{\left( \cfrac{4}{5} \right)}\implies cos(\alpha - \beta)=\cfrac{24}{85}+\cfrac{60}{85} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill cos(\alpha - \beta)=\cfrac{84}{85}~\hfill

5 0
3 years ago
Just need help finding X and Y
Lapatulllka [165]

Answer:

<h2>x = 8 and y= 12</h2>

Step-by-step explanation:

For x use the Pythagorean theorem:

x^2+6^2=10^2

x^2+36=100              <em>subtract 36 from both sides</em>

x^2=64\to x=\sqrt{64}\\\\x=8

We know: x + y = 20. Substitute:

8+y=20              <em>subtract 8 from both sides</em>

y=12

5 0
3 years ago
. 855 into a fraction
deff fn [24]
855/1000 is your answer.
7 0
3 years ago
A square has a perimeter of 16.4 inches. The<br> area of the square is<br> square inches.
slamgirl [31]

Answer:

area = 8.2 sq inch

Step-by-step explanation:

7 0
2 years ago
A washer and a dryer cost $799 combined. The washer costs $49 more than the dryer. What is the cost of the dryer?
rusak2 [61]
A) w + d = 799
B) w = d + 49
B) w -d = 49

Adding A & B
2w = 848

washer = 424

w -49 = d
dryer = 424 -49
dryer = 375


4 0
3 years ago
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