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KATRIN_1 [288]
3 years ago
8

Can someone help me with this question?

Mathematics
2 answers:
posledela3 years ago
7 0
The answer would be. B
Karolina [17]3 years ago
5 0

Answer:

D

Step-by-step explanation:

2 x 2 = 4 x PI = 12.56

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(7 + 7i)(2 − 2i)
Ostrovityanka [42]

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)

\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)

\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

=21-21i

After converting into the exponential form:

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

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

#SPJ1

3 0
2 years ago
A company made $785 in a ticket sale they sold 100 tickets how much did the company make per ticket if each ticket cost the same
zubka84 [21]
They made 7.85 per ticket
4 0
3 years ago
$37 dinner; 15% tip whats the total cost
kogti [31]
37*.15=5.55
37+5.55=42.55
4 0
3 years ago
Can someone plssss answer these I’m so confused I’m begging u I’l love u foreve
madam [21]

Answer:

22) RT ; angles 2 and 4 are alternate interior angles

23) RT ; angles 1 and 3 are alternate interior angles

24) TV; same-side interior angles (some classes called them consecutive interior angles)

25) RV; same-side interior angles (some classes call them consecutive interior angles)

Step-by-step explanation:

The transversal is the a "line" going through at least 2 others helping to form the angles in question.

22) The line segment going through two line segments that contain angles 2 and 4 is:

RT.

Angles 2 and 4 are alternate interior angles because they happen inside the parallel lines on opposite sides of the transversal at the different intersections of RT and the parallel lines it goes through.

23) The line segment going through at least two line segments that contain angles 1 and 3 is:

RT.

Angles 1 and 3 are alternate interior angles because they happen inside the parallel lines on opposite sides of the transversal at the different intersections of RT and the parallel lines it goes through.

The cool thing about 24 and 25 is that they give you the transversal in the name of the angle.

24) Angles TVR and VTS are being formed by the line segment TV and the parallel line segments that it intersects.  TV is the transversal.

Angles TVR and VTS are same side interior angles because they happen inside the parallel lines on the same side of the transerval at the different intersections of TV and the parallel lines it goes through.

25) Angles SRV and RVT are being formed by the line segment RV and the parallel line segments that it intersects.  RV is the transversal.

Angles SRV and RVT are same side interior angles because they happen inside the parallel lines on the same side of the transerval at the different intersections of RV and the parallel lines it goes through.

7 0
3 years ago
Help !!!!!!!!!!!!!!!!
umka2103 [35]

Answer:

13) 8.6

Step-by-step explanation:

To find the side length, use a trig function to solve for x.

You have the adjacent side and hypotenuse to the angle. Use the cosine function since its ratio is adjacent over hypotenuse.

This means Cos 52 = x / 14. Solve for x.

Cos 52 = x / 14

14* Cos 52 = x

8.6 = x

4 0
3 years ago
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