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8_murik_8 [283]
3 years ago
12

Express the complex number in trigonometric form.

Mathematics
1 answer:
Maru [420]3 years ago
7 0
-5i can be written as 0 + (-5)i
It is in the form a+bi where a = 0 and b =-5
So the point (a,b) is (0,-5)

The distance from the origin to this point is 5 units, therefore r = 5. This is the magnitude. 

The angle is 270 degrees as shown in the attached image. You start on the positive x axis and rotate until you reach the point (0,-5)

This is why the answer is choice A) 5(cos(270) + i*sin(270))

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5 0
3 years ago
A home mortgage is usually borrowed for how long?
lawyer [7]
<span>A home mortgage is usually borrowed for how long? The answer is D 20-30 years. A traditional home mortgage is borrowed for 30 years. In some cases this can be shorter or longer but the typical mortgage is between 20-30 years.</span>
4 0
3 years ago
Read 2 more answers
A triangle has a hypotenuse of length 25 and one leg of length 24. What is the tangent of the larger acute angle of the triangle
cestrela7 [59]

Answer:

\sin( \theta)  =  \frac{24}{25}  \\  \theta =  { \sin }^{ - 1} ( \frac{24}{25} ) \\  \theta = 73.7 \degree \\  \\  \tan( \theta)  =  \tan(73.7 \degree)  \\  = 3.4

8 0
3 years ago
Read 2 more answers
The center of a circle and a point on the circle are given. Write the equation of the circle in standard form.
pogonyaev

Answer:

A.Because ,center is (3,2)and point is (-2-3) .

and answer is (x-3)2+(y+2)2=52.

6 0
3 years ago
Please help me if you can. Please also write how you got the answer thank you.
adelina 88 [10]

Answer:

1) r, q, s. 2). 5

Step-by-step explanation:

1) from the given (q) is smaller than (r) and (s) is less than (q) by 2.

2) you need to make all the fractions have the same numerator so you will multiply both the firs and third fraction by 3÷3 ( which is 1 and will not affect the value but will make the numerator of the fractions equal) and the fractions between them is the second fraction and it's denominator is x and there is 5 fractions between the two numbers so there are 5 possible values of x

6 0
3 years ago
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