# Math and Arithmetic

## Math is the study of abstractions. Math allows us to isolate one or a few features such as the number, shape or direction of some kind of object. Then we can study what can be learned about the behavior of those features while ignoring everything else about the object.

###### Asked in Math and Arithmetic, Volume

### Why is milk measure in gallons and not by liter?

We all use basic arithmetic (+ - / *) in everyday life, and reading powers and scientific notation is useful for things like programming and reading some national geographic magazines and what not. The Pythagorean theorem is useful for some things.
But I don’t understand how quadratic equations, calculus, radical expressions, sequences/series, and imaginary and complex numbers are used in everyday life.
What are some REAL, USEFUL applications of these things?

###### Asked in Math and Arithmetic, Public Speaking

### What does I read you 5 by 5 mean?

In voice procedure (the techniques used to facilitate spoken
communication over two-way radios) a station may request a report
on the quality and strength of signal they are broadcasting. In the
military of the NATO countries, and other organizations, the signal
quality is reported on two scales; the first is for signal
strength, and the second for signal clarity. Both these scales
range from one to five, where one is the worst and five is the
best. The listening station reports these numbers separated with
the word "by". Five by five therefore means a signal that has
excellent strength and perfect clarity ? the most understandable
signal possible.
Five by five by extension has come to mean "I understand you
perfectly" in situations other than radio communication, the way
Loud and Clear entered slang, post-WW2.

###### Asked in Math and Arithmetic, Trigonometry

### How do you solve 2 sin squared theta equals 1?

first divide each side by 2 so you get...
sine^2(X)=1/2
Then make sine ^2(X)=sine(x^2)
SO you get... sine(X^2)=1/2
Then take the sine^-1 of each side it will look like this
X^2=sine^-1(1/2)
type the right side into a calc which will give you a gross
decimal but it works (0.5235987756)
so now you have
X^2=0.5235987756
then take the square root of each side to make it linear and you
will get X=.7236012546
and that is your answer!!!! make sure to check it on your
calculator...I did and it worked
* * * * *
Not quite correct, I fear. Try this:
Let s = sin θ.
Then,
2s2 = 1;
s2 = ½; and
s = ±½√2.
Therefore,
θ = 45°, 135°, 225°, or 315°;
or, if you prefer,
θ = ¼π, ¾π, 1¼π, or 1¾π.

###### Asked in Math and Arithmetic

### Why the power factor is not more than unity?

The power factor is defined as the cosine of an angle.
(It's the phase angle between voltage and current.)
The magnitude of the cosine is never greater than ' 1 '.
The theory of Unity Gain states that you cannot get more out
than you put in.
If the current maximum of a cycle lags (or leads) the voltage
maximum by a fraction x of a cycle, then if you think of the
situation where the voltage and current are rotating vectors at an
angle x degrees apart, then the only useful power is gained by the
component of the current which is in phase with the voltage. So,
resolve the current vector into two components, one in the
direction of the voltage vector, (Icos(x)) and the other component
perpendicular the the voltage vector, (Isin(x)). Then the useful
power is gotten by multiplying the bits of voltage and current
which are in phase: V times I cos(x). So the power obtained is a
factor cos(x) down on the value if V and I were in perfect sync.
That's why it's called power factor. It is why Power stations don't
like inductive or capacitative loads: they have to supply heavy
currents that actually deliver no power. Finally, cos(x) never gets
above 1.

###### Asked in Math and Arithmetic, Area, Volume

### How many cubic feet are in a gallon?

Gallons per
cubic foot
1 cubic foot = 7.4805 US gallons
1 cubic foot -=6.2288 Imperial gallons
One cubic foot is equal to 7.4805 US Gallons, -6.2288 Imperial
Gallons
Also,
1 cubic foot = 1728 cubic inches
1 US gallon = 231 cubic inches (by definition)
1 cubic foot = 1728/231 gallons = 576/77 gallons ~= 7.48
gallons
1 US gallon = 231/1728 cubic feet ~= 0.133681 cubic feet
Sample Water Bill Calculation
Assumptions:
Note: . This refers to 100 cubic feet. If your
bill says you used 10 ccf, that would be 1000 cubic feet, or almost
7500 US gallons.
Also: "Water bills" can also include other costs such as sewer and
trash collection. Read your bill closely to determine exactly what
you're paying for.

###### Asked in Math and Arithmetic

### What does number three mean?

3-Is the number of personal completeness, It is the number of
the Godhead,it stands for the triune God. It is formed by 1 plus 1
plus plus 1. But if the 1's are multplied, the result is still 1.
So that God is 3in1 and 1 and 3. In geometry two lines do not make
a cube. Hence 2 is an incomplete number while 3 is the first
complete number. It therefore represents God. 3 is also a number of
resurrection, The Lord Jesus is resurrected on the third day. Jonah
was in the belly of the fish for 3 days. The restoration of the
nation of Israel is also connected with the numeral 3.This number 3
is frequently related to God, the triune is used in the baptizism,
The Lord Jesus was tempted 3 times, He prayed in the garden 3
times, he asked Peter 3 times if he loved him and to feed his
sheep.When God judged mans sin in Chirst Jesus the heavens and the
earth were dark for 3 hrs.

###### Asked in Math and Arithmetic, Percentages, Fractions, and Decimal Values

### How do you do recurring decimals to a percentage?

Multiplying decimals by 100 will convert them to
percentages.
If you wish to remove the recurring decimal, convert it to a
fraction by putting the recurring digit(s) as the numerator over a
denominator of the same number of 9s and reducing the fraction to
its lowest terms.
Examples
0.333333333...
To a percentage: 0.333333333... x 100 = 33.3333333...%
0.3333333... as a fraction: repeating digit is 3 so put as the
numerator over a denominator of one 9 to give the fraction 3/9 =
1/3
So 0.333333333... = 33 1/3 %
0.1428571428...
To a percentage: 0.1428571428... x 100 = 14.28571428...%
0.28571428... as a fraction: repeating digits are 285714 of
which there are six, so put as numerator over a denominator of six
9s to give the fraction 285714/999999 = 2/7
So 0.1428571428... = 14 2/7 %

###### Asked in Math and Arithmetic, Numbers

### What does the word product mean in math?

When you multiply, your answer is called a product.
In math, the word "product" implies multiplication. If you
are asked to find the product of two numbers, you should multiply
them together.
So the product of 3 and 4 would be 3*4=12
Product is the answer you get when you multiply
Example:2×6=12,so 12 is the product

###### Asked in Math and Arithmetic, Units of Measure

### What is the folly meter?

Sounds like a way of distinguishing how absurd, or possibly
devastating, an outcome may be as a result of some action.
Were you reading Popular Science and came across the "What Could
Possibly Go Wrong" article? If so, I believe that is what they were
indicating with the Folly Meter. The higher the number, the more
absurd or disastrous the outcome of some action.

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