Answer only 3. When plotted, the 8th roots of unity form what polygon?4. Perform the operation: (3 + 2i) + (1– 2i) + 7i.5. Perform the operation: (5 - 6i) /(5- 3i). Express the real numbers and imaginary numbers as rational (fractions).(42)?6. What is Im7. What is Re(In|3 +jl)?8. Simplify: (i^1058) - (i^1092).9. Given the series an. If the limit of a, as n approaches co is nonzero, then the does the series an converge or

Answered: Image /qna-images/answer/791a7394-2efe-4b14-ba19-219807b8ad4b.jpg

3. When plotted, the 8th roots of unity form what polygon? 4. Perform the operation: (3 + 2i) + (1- 2i) + 7i. 5. Perform the operation: (5-6i)/ (5-3i). Express the real numbers and imaginary numbers as rational (fractions). 6. What is Im (42)? 7. What is Re(In|3 +jl)? 8. Simplify: (i^1058) - (i^1092). 9. Given the series an. If the limit of a, as n approaches o is nonzero, then the does the series an converge or

3. When plotted, the 8th roots of unity form what polygon? 4. Perform the operation: (3 + 2i) + (1- 2i) + 7i. 5. Perform the operation: (5-6i)/ (5-3i). Express the real numbers and imaginary numbers as rational (fractions). 6. What is Im (42)? 7. What is Re(In|3 +jl)? 8. Simplify: (i^1058) - (i^1092). 9. Given the series an. If the limit of a, as n approaches o is nonzero, then the does the series an converge or

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.5: Convex Polygons

Problem 34E: The adjacent interior and exterior angles of a polygon are supplementary, as indicated in the...

See similar textbooks

Similar questions

Given: In Figure 39-12, s is the length of a side of a hexagon, r isthe radius of the inside circle, and R is the radius of the outside circle. a. What is the length of r if r equals the product of 0.866 and the length of a side of the hexagon? b. What is the length of R if R equals the product of 1.155 and the radius of the inside circle? c. What is the area of the hexagon if the area equals the product of 2.598 and the square of the radius of the outside circle?
The diagram shown in Figure 1 was used by the Hindu mathematician Bhaskara to prove the theorem in the 12th century. His proof consisted only of the diagram and the word Behold! Use this figure to derive the Pythagorean Theorem. The right triangle with sides a, b, and c has been repeated three times. The area of the large square is equal to the sum of the areas of the four triangles and the area of the small square in the center. The key to this derivation is in finding the length of a side of the small square. Once you have the equation, simplify the right side to obtain the theorem. Figure 1
It can be shown that the length of a diagonal of a right rectangular prism with dimensions l, w, and h is given by d=l2+w2+h2. Use this formula to find the length of the diagonal when l=12in., w=4in., and h=3in.
Recall from the introduction to Section 8.2 that Jerome Cardans solutions to the equation x3=15x+4 could be written as x=2+11i3+211i3 Lets assume that the two cube roots are complex conjugates. If they are, then we can simplify our work by noticing that x=2+11i3+211i3=a+bi+abi=2a which means that we simply double the real part of each cube root of 2+11i to find the solutions to x3=15x+4. Now, to end our work with Cardan, find the three cube roots of 2+11i. Then, noting the discussion above, use the three cube roots to solve the equation x3=15x+4. Write your answers accurate to the nearest thousandth.
An artist wants to make a small monument in the shape of a square base topped by a right triangle, as shown below. The square base will be adjacent to one leg of the triangle. The other leg of the triangle will measure 2 feet and the hypotenuse will be 5 feet. (a) Use the Pythagorean Theorem to find the length of a side of the square base. Round your answer to the nearest tenth of a foot. (b) Find the exact area of the face of the square base.
A landscaper wants to put a square reflecting pool next to a triangular deck, as shown below. The triangular deck is a right triangle, with legs of length 9 feet and 11 feet, and the pool will be adjacent to the hypotenuse. (a) Use the Pythagorean Theorem to find the length of a side of the pool. Round your answer to the nearest tenth of a foot. (b) Find the exact area of the pool.
The adjacent interior and exterior angles of a polygon are supplementary, as indicated in the drawing. Assume that you know that the measure of each interior angle of a regular polygon is (n2)180n. a Express the measure of each exterior angle as the supplement of the interior angle. b Simplify the expression in part a to show that each exterior angle has a measure of 360n .
In trapezoid ABCD not shown, mA=x2+10, mB=x3+50 and mC=x5+50. Find all possible values of x.