Re: math

Ratio: a comparative value. "so many pounds to ounces"

i.e. 3 to 1

proportion: a part of the original. a percentage of the whole.

i.e.: a proportional band of a thermostat. that "dead zone" between the set point and the desired point is 10 degrees.

Posted on Dec 27, 2007

In two similar triangles, the ratio of their areas is the square of the ratio of their sides. Let's assume LMN and FGH are similar triangles. The ratio of the areas of LMN to FGH is 18 to 24, or 3 to 4 or 0.75. We would then take the square root of 0.75 to get the ratio of the sides. I get 0.866. The reason it is the square is the area of a triangle is base times height divided by 2, and the base and height and sides of similar triangles are proportional.

Good luck.

Paul

Similar Triangles ratio of areas

Good luck.

Paul

Similar Triangles ratio of areas

Mar 12, 2015 | Calculators

That is called a proportion.

(a/b)=(c/d)

(a/b)=(c/d)

Nov 18, 2014 | Calculators

The figure are similar, corresponding sides are proprtional

L1/L'1=L2/L'2= ... =k , the scale factor for lengths.

However, if scale factor for lengths is k, the ratio of area is k^2 find

**Scale factor**

Use the given area to find the proportionality factor then use it the ratio of length to find the missing distance between the parallel sides.

Area of new /Area of old=360/250=36/25=k^2

k=SQRT(36/25)=6/5

**Ratio of lengths =k=6/5**

Distance between parallel sides of new patio/Distance between parallel sides of old patio=6/5

Distance between parallel sides of new patio= (6/5)*12.5=15

**The distance between the parallel sides of the new patio is 15 feet.**

L1/L'1=L2/L'2= ... =k , the scale factor for lengths.

However, if scale factor for lengths is k, the ratio of area is k^2 find

Use the given area to find the proportionality factor then use it the ratio of length to find the missing distance between the parallel sides.

Area of new /Area of old=360/250=36/25=k^2

k=SQRT(36/25)=6/5

Distance between parallel sides of new patio/Distance between parallel sides of old patio=6/5

Distance between parallel sides of new patio= (6/5)*12.5=15

Dec 17, 2013 | Calculators

The figure are similar, corresponding sides are proprtional

L1/L'1=L2/L'2= ... =k , the scale factor for lengths.

However, if scale factor for lengths is k, the ratio of area is k^2 find

**Scale factor**

Use the given area to find the proportionality factor then use it the ratio of length to find the missing distance between the parallel sides.

Area of new /Area of old=360/250=36/25=k^2

k=SQRT(36/25)=6/5

**Ratio of lengths =k=6/5**

Distance between parallel sides of new patio/Distance between parallel sides of old patio=6/5

Distance between parallel sides of new patio= (6/5)*12.5=15

**The distance between the parallel sides of the new patio is 15 feet.**

L1/L'1=L2/L'2= ... =k , the scale factor for lengths.

However, if scale factor for lengths is k, the ratio of area is k^2 find

Use the given area to find the proportionality factor then use it the ratio of length to find the missing distance between the parallel sides.

Area of new /Area of old=360/250=36/25=k^2

k=SQRT(36/25)=6/5

Distance between parallel sides of new patio/Distance between parallel sides of old patio=6/5

Distance between parallel sides of new patio= (6/5)*12.5=15

Dec 17, 2013 | Calculators

About 146 and a half degrees.

If this is homework, be sure to show your work.

If this is homework, be sure to show your work.

Oct 22, 2013 | Calculators

A ratio is a division of two quantities that may or may not be of the same nature.

**Same nature **

You can for example have the ratio of the perimeters of two similar triangles.** ratio=perimeter1/perimeter2**

Different nature:

If an automobilist travels at a constant rate (notice the root RATE, RATIO)**,** the rate of travel is expressed as the ratio of the distance travelled (d) to the time taken to travel the distance.** **That ratio is called the speed v

v=d/t

Since the ratio involves two quantities of different nature, the speed has a unit derived from the unit of distance and the unit of time; Example v=65 km/h

**Other examples**:

There is a ratio of 1.45 US $ to 1 Euro. This is usually referred to as the exchange RATE.

The odds of something happening is 7 to 2.

What is really meant when a ratio is involved depends on the context. But what you should remember is that a ratio involves the division of two quantities.

Proportions: The equality of two ratios is called a proprtion.

You can for example have the ratio of the perimeters of two similar triangles.

Different nature

v=d/t

There is a ratio of 1.45 US $ to 1 Euro. This is usually referred to as the exchange RATE.

The odds of something happening is 7 to 2.

What is really meant when a ratio is involved depends on the context. But what you should remember is that a ratio involves the division of two quantities.

Proportions: The equality of two ratios is called a proprtion.

Feb 08, 2012 | Calculators

Technically a fraction is just the ratio of two integers (division of two integers). To enter a fraction, type in the numerator, press the division key, then enter the denominator.

The problem is preventing the fraction from being evaluated. To do that press [MATH] key, select [1:

The problem is preventing the fraction from being evaluated. To do that press [MATH] key, select [1:

Sep 11, 2010 | Texas Instruments TI-84 Plus Calculator

Here is the link to the calculator manual. It will show you how to do square root calculations, percentages, other roots, and logs. As to ratios and proportions you will have to read your mathematics textbook.

Aug 26, 2010 | Texas Instruments TI-30XA Calculator

(-30)(10)=(6)(n)

May 14, 2010 | Casio FX-115ES Scientific Calculator

A fraction is in fact a ratio of two number: a division of a numerator by a denominator. The key used for the division operation is the one above the multiplication sign and below the caret [^], and in thee rightmost column of keys.

Beware that this calculator converts any ratio of two numbers into a decimal value. To keep a fraction in a fraction form you must use the [|=>Frac] or [ToFrac] command. To convert a decimal result to a fraction, use the [|=>Dec] command.

These commands are accessible through the CATALOG or more easily by pressing [MATH] (under the ALPHA key) and selecting [1:|=>Frac], or [2:|=>Dec]

Ex: to keep 27/48 in fraction form you enter

27 [/] 48 [MATH][1:|=>Frac] [ENTER]. Result is 9/16

You will notice that the resulting fraction is reduced to its simplest form.

To convert the above result from fraction to decimal press [MATH][2:|=>Dec]

A fraction can always be approximated by a decimal value but the converse is not always possible.

Beware that this calculator converts any ratio of two numbers into a decimal value. To keep a fraction in a fraction form you must use the [|=>Frac] or [ToFrac] command. To convert a decimal result to a fraction, use the [|=>Dec] command.

These commands are accessible through the CATALOG or more easily by pressing [MATH] (under the ALPHA key) and selecting [1:|=>Frac], or [2:|=>Dec]

Ex: to keep 27/48 in fraction form you enter

27 [/] 48 [MATH][1:|=>Frac] [ENTER]. Result is 9/16

You will notice that the resulting fraction is reduced to its simplest form.

To convert the above result from fraction to decimal press [MATH][2:|=>Dec]

A fraction can always be approximated by a decimal value but the converse is not always possible.

Jan 23, 2010 | Texas Instruments TI-84 Plus Calculator

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