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tangare [24]
3 years ago
13

Find the missing side. Round your answer to the nearest tenth please help me

Mathematics
1 answer:
Goshia [24]3 years ago
5 0

9514 1404 393

Answer:

  16.9

Step-by-step explanation:

The marked sides are the hypotenuse and the one opposite the angle. The relevant trig function is ...

  Sin = Opposite/Hypotenuse

Multiplying by the hypotenuse gives an equation for the opposite side.

  x = 22·sin(50°)

  x ≈ 16.9

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3 years ago
If z1= 3+3i and z2=7(cos(5pi/9) + i sin (5pi/9)), then z1/z2= blank
mixas84 [53]

z1=\stackrel{a}{3}+\stackrel{b}{3}i~~ \begin{cases} r = \sqrt{a^2+b^2}\\ r = \sqrt{18}\\[-0.5em] \hrulefill\\ \theta =\tan^{-1}\left( \frac{b}{a} \right)\\ \theta =\frac{\pi }{4} \end{cases}~\hfill z1=\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right] \\\\[-0.35em] ~\dotfill

\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right]} {7\left[\cos\left( \frac{5\pi }{9} \right) i\sin\left( \frac{5\pi }{9} \right) \right]} \\\\[-0.35em] ~\dotfill\\\\ \qquad \textit{division of two complex numbers} \\\\ \cfrac{r_1[\cos(\alpha)+i\sin(\alpha)]}{r_2[\cos(\beta)+i\sin(\beta)]}\implies \cfrac{r_1}{r_2}[\cos(\alpha - \beta)+i\sin(\alpha - \beta)] \\\\[-0.35em] ~\dotfill

\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{\pi }{4}-\frac{5\pi }{9} \right)+i\sin\left( \frac{\pi }{4}-\frac{5\pi }{9} \right) \right] \\\\\\ \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{-11\pi }{36} \right) +i\sin\left( \frac{-11\pi }{36} \right) \right]\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{83\pi }{36} \right) +i\sin\left( \frac{83\pi }{36} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{z1}{z2}\approx 0.348~~ + ~~0.496i~\hfill

6 0
3 years ago
The graph below shows interest charges accrued on 4 different credit cards. Based on the graph, which credit card appears to hav
dezoksy [38]

Answer:

The correct option is D.card 4

Step-by-step explanation:

Consider the provided graph.

The introductory APR is a discounted interest rate which credit card companies frequently give new customers after opening an account for a fixed number of months. Most credit cards on payments, balance transfers or both offer discounted APRs.

The graph of card 4 is showing that the interest rate in Jan to Apr was lower, after Apr the interest rate increase with different slope.

Therefore, the correct option is D.card 4

4 0
3 years ago
HIYYEEEEEEEEEEEEEE!!
Alex787 [66]

hoiiiiiiiiiiiiiiiiiiiiiii

5 0
3 years ago
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IF you help me I will give you 14 points and a brainist and thank you and 5 stars
ElenaW [278]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
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