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olya-2409 [2.1K]
3 years ago
13

If two sides of a triangle are 9 and 13, the third side may be

Mathematics
1 answer:
nadezda [96]3 years ago
5 0

Answer:

11.53256

Step-by-step explanation:

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Which of the following is a solution of z^5 = 1 + √3 i?
nordsb [41]

Answer:

Option 2 is right

Step-by-step explanation:

Given that

z^5=1+\sqrt{3} i

We can write this in polar form with modulus and radius

|z^5|= \sqrt{1+3} =2\\tan of Angle t =\sqrt{3} \\

Hence angle = 60 degrees and

|z^5|= 2(cos60+isin60)

Since we have got 5 roots for z, we can write 60, 420, 780, etc. with periods of 360

Using Demoivre theorem we get 5th root would be

5th root of 2 multiplied by 1/5 th of 60, 420, 780,....

z= \sqrt[5]{2} (cos12+isin12)\\z=\sqrt[5]{2} (cos84+isin84)\\\\z=\sqrt[5]{2} (cos156+isin156)\\\\z=\sqrt[5]{2} (cos228+isin228)\\\\z=\sqrt[5]{2} (cos300+isin300)\\

Out of these only 2nd option suits our answer

Hence answer is Option 2.

8 0
3 years ago
How are rate of change and slope related for a linear relationship?
ale4655 [162]
Hello! In slope-intercept form, y=mx+b. M is the slope and b is the y-intercept. The rate of change and slope are interchangeable, therefore, they both create a line through the slope-intercept form. Feel free to rate my answer Brainliest if I helped you!
7 0
3 years ago
Find the domain of the following rational expression <br> f(x)=4x-8/5
Alchen [17]
4x is the correct answer
7 0
3 years ago
Help! I need the answer for this. 5x^2-16x+13=10
tatiyna

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact Form:

x=1/5,3

Decimal Form:

x=0.2,3

4 0
2 years ago
If a triangle has three congruent angles, then it is equilateral.
Zielflug [23.3K]

I believe the answer is A "If a triangle is equilateral, then it has three congruent angles". Hope this helps!

5 0
3 years ago
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