Fill in the blanks to complete the following chart. (Round to the nearest tenth.) You will not use all of the answers.

Mathematics

1 answer:

N76 [4]3 years ago

4 0

Answer:

see below

Step-by-step explanation:

The basic formula for this chart is ...

Percentage = Base × Rate

Dividing by Base or Rate gives two other versions of the same relation:

Rate = Percentage/Base

Base = Percentage/Rate

These are summarized in the chart at the second attachment. Covering one of the cells in the chart tells you how that cell is computed. (See the formulas above.)

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It is convenient to let a spreadsheet do the math. Unfortunately, for this problem there are three different formulas that need to be entered and copied to non-adjacent cells. Even so, IMO, it beats punching numbers on a calculator.

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If z=3−5i, find |z|.

geniusboy [140]

Answer:

Step-by-step explanation:

The absolute value of z is the distance between the point graphed from the complex number and the origin on a complex plane. In a complex plane, the x axis is replaced by R, real numbers, and the y axis is replaced by i, the complex part of the complex number. Our real number is positive 3 and the complex number is -5, so we go to the right 3 and then down 5 and make a point. Connect that point to the origin and then connect the point to the x axis at 3 to construct a right triangle that has a base of 3 and a length of -5. To find the distance of the point to the origin is to find the length of the hypotenuse of that right triangle using Pythagorean's Theorem. Therefore:

$|z|=\sqrt{(3)^2+(-5)^2}$ and