17.29 feet, using the Pythagorean theorem.
Answer:
- shorter part: 12 ft
- longer part: 13 ft
Step-by-step explanation:
Let s represent the length of the shorter part (in feet). Then the longer part has length (s+1), and the total length of the two parts is ...
s + (s+1) = 25
2s = 24 . . . . . . . subtract 1, simplify
s = 12 . . . . . . . . . divide by 2; the length of the shorter part
s+1 = 13 . . . . . . . the length of the longer part
The shorter part is 12 feet long; the longer part is 13 feet long.
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<em>Comment on this problem type</em>
You will note that the smaller number is half the difference of the total length (25) and the difference in lengths (1). This is the generic solution to a "sum and difference" problem. The smaller number is half the difference of the given numbers, and the larger number is half their sum: (25+1)/2 = 13.
The answer is C. 500 cm = 5 m, and 5,000 mm.
Answer:
625 eggs are sold in a restaurant
2500-100%
x- 25%
62500=100x
x=625 eggs
Answer:
In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.
Step-by-step explanation:
Complex Integer
(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.
Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.
The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.