For this case we have the following complex number:
1 + i
Its equivalent pair is given by:
root (2) * (cos (pi / 4) + i * sin (pi / 4))
Rewriting we have:
root (2) * (root (2) / 2 + i * (root (2) / 2))
(2/2 + i * (2/2))
(1 + i)
Answer:
option A represents a pair with the same complex number
When expanding number, we should separate the numbers according to the places like the number 275 written in expanded form 200+70+5. So, in this question we must likely done like this. The number is 39,005 the sum that is written on expanded form is 30,000+9,000+5.
<h3>Simplifying </h3>
9x + -31 = 43
<h3>Reorder the terms:</h3>
-31 + 9x =43
<h3>Solving</h3>
-31 + 9x =43
<h3>Solving for variable 'x' .</h3><h3>Move all terms containing x to the left, </h3>
Add '31' to each side of the equation .
0 + 31 +9x = 43 + 31
<h3>Combine like terms: </h3>
-31 + 31 =0
0 + 9x = 43 +31
9x = 43 + 31
<h3>Combine like terms:</h3>
43 + 31 =74
9x = 74
<h3>Divide each side by '9'</h3>
x = 8. 222222222
<h3>Simpifying</h3>
x = 8.222222222
9514 1404 393
Answer:
∛(2500π)√37 m² ≈ 120.911 m²
Step-by-step explanation:
If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...
V = 1/3πr²h
V = 1/3πr²(6r) = 2πr³
For a volume of 100 m³, the radius is ...
100 m³ = 2πr³
r = ∛(50/π) m
The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:
s² = r² +(6r)² = 37r²
s = r√37
Then the lateral area is ...
LA = πrs
LA = π(∛(50/π) m)(∛(50/π) m)√37
LA = ∛(2500π)√37 m² ≈ 120.911 m²
Answer:
Step-by-step explanation:
889
