Use De Moivre's theorem to simplify the expression. Write the answer in a + bi form.(1 - i)10
A. -32 + 32i
B. 32 - 32i
C. 32
D. -32i
Answer: D
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Find the perimeter of the figure.The local park district acquired lands to be used for a new dog park. How many miles of fencing are needed to enclose the dog park?
A. 382 mi B. 402 mi C. 459 mi D. 309 mi
The following question refers to a school district with three high schools. The total number of students in the district is 3000. The teachers within the district are apportioned to the high schools based on the schools' respective enrollments. The standard quota for each school is given in the following table.
Find each school's apportionment of teachers under Adams's method.
A. North: 18; Central: 52; South: 30 B. North: 17; Central: 52; South: 31 C. North: 19; Central: 51; South: 30 D. North: 18; Central: 51; South: 31 E. none of these
Determine if the statement is true or false.
1. Theorems are introduced before definitions in an axiomatic system. 2. Deductive reasoning is used by mathematicians. 3. Theorems are accepted as true without proof.
Solve the problem.If a satellite is placed in a circular orbit of 440 kilometers above the Earth, what is the equation of the path of the satellite if the origin is placed at the center of the Earth (the diameter of the Earth is approximately 12,740 kilometers)?
A. x2 + y2 = 40,576,900 B. x2 + y2 = 46,376,100 C. x2 + y2 = 173,712,400 D. x2 + y2 = 193,600