◆ COMPLEX NUMBERS ◆
125 ( cos 288 + i sin 288 ) can be written as -
125.e^i( 288)
125.e^i( 288 +360 )
125.e^i( 288+ 720)
[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]
To find the cube root , take the cube root of above 3 expressions ,
We get -
5 e^( i 96 )
5 e^( i 216 )
5 e^( i 336 )
Now using Euler's formula , We rewrite above as -
5 ( cos 96 + i sin 96 )
5(c os 216 + i sin 216 )
5 ( cos 336 + i sin 336 ) Ans.
Answer:
1 meter equals 100 centimeters, to find out how many centimeters you want to take 0.24*100= 2.4,
Therefore; the computer tablet is 24 centimeters long.
Answer:
$350,000
Step-by-step explanation:
Let's define:
- s: amount of short-range missiles produced
- m: amount of medium-range missiles produced
- l: amount of long-range missiles produced
From the total production and the ratios we can write the following equations:
s + m + l = 3000
s/m = 3/3 = 1 = m/s
s/l = 3/4 or l/s = 4/3
Dividing the first equation by s, we get:
s/s + m/s + l/s = 3000/s
1 + 1 + 4/3 = 3000/s
10/3 = 3000/s
s = 3000*3/10 = 900
m = 900
l = 4/3*900 = 1200
From the money that the countries plans to use and each missile cost, we can write the following equation:
200,000*s + 300,000*m + cost*l = 870,000,000
Replacing with previous result:
200,000*900 + 300,000*900 + cost*1200 = 870,000,000
cost = (870,000,000 - 200,000*900 - 300,000*900)/1200 = 350,000
Answer:
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Step-by-step explanation:
