The remaining money will be $1062.50 after they pay for rent and give each student a $3.50 gift.
And divide that by 225(number of students) and you get 4.73$ on food
2000 to spend
$2000=$150(Park) = 1850
$1850-$787.50= $1,062.50
Answer:
that my friend is a code in java or some other language.
Step-by-step explanation:
it is just a code
Answer:
B. 2 3/4 lbs
Step-by-step explanation:
there ar 16 ticks on a scale, the pointer is on 12, meaning it is 12/16, whihc is answer b
Im not sure what your asking
The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number shown in the picture:
-7i(3 + 3i)
= -7i
In trigonometric form:
z = 7 (cos (90) + sin (90) i)
= 3 + 3i
z = 4.2426 (cos (45) + sin (45) i)
![\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)](https://tex.z-dn.net/?f=%5Crm%207%5C%3A%5Cleft%28cos%5C%3A%5Cleft%2890%5Cright%29%5C%3A%2B%5C%3Asin%5C%3A%5Cleft%2890%5Cright%29%5C%3Ai%5Cright%294.2426%5C%3A%5Cleft%28cos%5C%3A%5Cleft%2845%5Cright%29%5C%3A%2B%5C%3Asin%5C%3A%5Cleft%2845%5Cright%29%5C%3Ai%5Cright%29)
![\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)](https://tex.z-dn.net/?f=%5Crm%20%3D7%5Cleft%28%5Ccos%20%5Cleft%28%5Cdfrac%7B%5Cpi%20%7D%7B2%7D%5Cright%29%2B%5Csin%20%5Cleft%28%5Cdfrac%7B%5Cpi%20%7D%7B2%7D%5Cright%29i%5Cright%29%5Ccdot%20%5C%3A4.2426%5Cleft%28%5Ccos%20%5Cleft%28%5Cdfrac%7B%5Cpi%20%7D%7B4%7D%5Cright%29%2B%5Csin%20%5Cleft%28%5Cdfrac%7B%5Cpi%20%7D%7B4%7D%5Cright%29i%5Cright%29)
![\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}](https://tex.z-dn.net/?f=%5Crm%207%5Ccdot%20%5Cdfrac%7B21213%7D%7B5000%7De%5E%7Bi%5Cdfrac%7B%5Cpi%20%7D%7B2%7D%7De%5E%7Bi%5Cdfrac%7B%5Cpi%20%7D%7B4%7D%7D)
![\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}](https://tex.z-dn.net/?f=%5Crm%20%3D%5Cdfrac%7B148491%5Cleft%28-1%5Cright%29%5E%7B%5Cdfrac%7B3%7D%7B4%7D%7D%7D%7B5000%7D)
=21-21i
After converting into the exponential form:
![\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}](https://tex.z-dn.net/?f=%5Crm%20%3D%5Cdfrac%7B148491%5Cleft%28-1%5Cright%29%5E%7B%5Cdfrac%7B3%7D%7B4%7D%7D%7D%7B5000%7D)
From part (b) and part (c) both results are the same.
Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)
Learn more about the complex number here:
brainly.com/question/10251853
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