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Anni [7]
2 years ago
14

Please help :((((((

Mathematics
1 answer:
Alik [6]2 years ago
5 0

Answer: c)

Step-by-step explanation:

This can be done through trial-and-error. Use the pythagoreas' theorem a^{2} +b^{2} =c^{2} and if the left side of the equation is equal to the right, that is the answer.

(Do take note that c is the longest side.)

a)

0.07^{2} +2.4^{2} =5.7649

2.5^{2}=6.25

Since 2.5^{2} \neq 5.7649, a) is wrong.

b)

17^{2} +30^{2} =1189\\
34^{2} =1156

Since 34^{2}\neq1189, b) is wrong.

c) (answer)

5^{2} +12^{2} =169\\13^{2} =169

Since 13^{2} =169, c) is correct.

d)

(7x)^{2} +(12x)^{2} =193x^{2}\\(13x)^{2} =169x^{2}

Since (13x)^{2} \neq193x^{2}, d) is wrong.

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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:

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In trigonometric form:

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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}

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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

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2 years ago
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