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marta [7]
3 years ago
10

lisa sold 81 magazine subscriptions, which is 27% of her class fundraising goal. how many magazine subscriptions does her class

have to sell?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
6 0
300 because You have to multiply 81 times 100 and then divide by 27
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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
In the problem 14 = 2 = 7, which number is the divisor?
Vilka [71]

Answer:

14 and 7 or 14 and 2

Step-by-step explanation:

fjdkdbejebejene

5 0
3 years ago
Read 2 more answers
Why is the axis of action also called the 180-degree system?
Kipish [7]
The answer is:
<span>
a. there are 180 degrees of space on the chosen side of the axis of action in which the camera may be placed to preserve screen direction.

The camera must not cross the imaginary axis line to avoid creating a "reverse angle". Simply saying, the camera must only shoot on one side of the scene.</span>
4 0
3 years ago
Mr. Daten gave his class a 20-point quiz. The results of that quiz are shown below.
mixer [17]
To evaluate the data set shown we need to rearrange the sets from smallest to the largest
5,7,10,10,12,12,12,13,15,17,18,18,18,19,20,20
thus the:
first quarter, Q1 will be:
(10+7)/2
17/2
=8.5

second, Median
(13+15)/2
=28/2
=14

Third quarter, Q3:
(19+20)/2
=39/2
=19.5

Thus you can use the values obtained to mark the number line.


6 0
3 years ago
When x=3 and y=8 what is y2-3x
zzz [600]
Your answer is 7! Hope that helps.
8 0
4 years ago
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