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Virty [35]
2 years ago
5

Use a calculator to find each sum or difference. Round your answer to the nearest hundredth.

Mathematics
1 answer:
motikmotik2 years ago
8 0

Answer:

54.87

69.08

Step-by-step explanation:

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Find the fifth roots of 243(cos 260° + i sin 260°)
Charra [1.4K]
<span>use De Moivre's Theorem:

⁵√[243(cos 260° + i sin 260°)] = [243(cos 260° + i sin 260°)]^(1/5)

= 243^(1/5) (cos (260 / 5)° + i sin (260 / 5)°)

= 3 (cos 52° + i sin 52°)

z1 = 3 (cos 52° + i sin 52°) ←← so that's the first root


there are 5 roots so the angle between each root is 360/5 = 72°

then the other four roots are:

z2 = 3 (cos (52 + 72)° + i sin (52+ 72)°) = 3 (cos 124° + i sin 124°)

z3 = 3 (cos (124 + 72)° + i sin (124 + 72)°) = 3 (cos 196° + i sin 196°)

z4 = 3 (cos (196 + 72)² + i sin (196 + 72)°) = 3 (cos 268° + i sin 268°)

z5 = 3 (cos (268 + 72)° + i sin (268 + 72)°) = 3 (cos 340° + i sin 340°) </span>
3 0
3 years ago
The first three terms of an arithmetic sequence are 8, 9, 10, .... What is the sum of the first ten terms of the series?
Goshia [24]
B. 125 every term is increasing 1+
3 0
2 years ago
(-4^0) + 1 equals to ?​
Mama L [17]

Answer:

zero (0)

Step-by-step explanation:

-4^0=-1

-1+1=0

6 0
2 years ago
the sum of the measure of the interior angle of a convex polygon is 1080 find the number of sides of each polygon
pogonyaev

Answer:

8

Step-by-step explanation:

The formula to calculate the sum of interior angles of polygon is (n - 2)180

Where n represents number of sides

(n-2)180 = 1080 ------ Divide through by 180

(n-2)180/180 = 1080/180

n-2 = 6

n = 6+2

n = 8

6 0
3 years ago
Write down the value of 5 in the following numbers.
Sliva [168]
50 tens
5000 thousands
50000 ten thousand
50 tens
5
Hope this helps
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3 years ago
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