Monday, December 26, 2011

Trig: Word Problems - Sine, Cosine & Tangent

www.mindbites.com This 78 minute trigonometry lesson is an opportunity to see how the skills learned in Lesson 300 Basic Trigonometry Part I are used to solving word problems using the 3 primary trig ratios, sin, cos and tan. You find unknown sides and angles in right angle triangles to solve word problems that involve: - a kite on the end of a string, diagonal of a rectangle, support wires, shadows, ladders, trees, buildings, stairways and more - angle of elevation and angle of depression - rise & run Sample problem: An airplane is flying over a forest at an altitude of 1600 ft. when the pilot sights a fire. He measures the angle of depression and finds it to be 46 degrees. How far is the fire, to the nearest tenth of a ft. from a point on land directly below the airplane? This lesson contains explanations of the concepts and 17 example questions with step by step solutions plus 3 interactive review questions with solutions. The following lesson will help you with the fundamentals of this lesson: - 300 Basic Trigonometry Part I (www.mindbites.com

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Tuesday, December 20, 2011

Calculated Industries 4080 Construction Master Pro Trigonometric Calculator

!±8± Calculated Industries 4080 Construction Master Pro Trigonometric Calculator


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Built-In Time Saving FunctionsComplete Stair calculations for Risers, Treads, Stringer Length and Incline AngleSet Riser Height and solve for Stairwell OpeningBuilt-in Right-Angle FunctionsRoof Function finds Area, Bundles, Squares and 4x8 Sheathing for Flat or Pitched RoofsCustom Rafter Function provides Common Rafters, Regular and Irregular Hips, Valleys and Jacks; instant Cutting Angles (Cheek, Level and Plumb)Jack Rafter results for Regular and Irregular Pitch Roof. Find Rake-Wall Studs with On-center spacingCompound Miter - Store Crown Angle and Enter Wall Corner Angle to calculate the Blade Tilt and Angle for Miter cutsAdvanced solutions for Circles, Arches, Columns, Cones, Pillars, Windows and Post-holesArched Rake-Walls with On-center SpacingStuds - Calculate the number of On-center Studs for an entered LengthEqual Sided Polygon - Calculate Corner and Bi-sect Angles, Side Length, Perimeter and AreaBoard Feet Lumber estimatingAdditional FeaturesUser Preferences: Set custom defined options such as Fractional settings for 1/2" to 1/64" and "Stair Headroom Height," Decimal Degrees and moreExponential Notation: Enter and display exponential valuesBackspace Key: Makes it easy to change just-entered valuesConstant Operator: Simplifies repetitive calculationsCost per Unit: Easily solve unit costing and pricingAccumulating Memory (M+) plus three additional Memory Storage locations"Paperless" Tape: Allows for review of last 20 entries; double-check totalsStandard Calculations: Works as a math calculator with +, -, +/-, x, ?, %, ?, 1/x, X2, and ?Automatic Shut-Off saves battery life.

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Monday, December 12, 2011

Cheap TI 83 Graphing Calculator

!±8± Cheap TI 83 Graphing Calculator

I'd been searching for a cheap TI 83 graphing calculator for a while now. Since they can be pretty expensive, I thought I'd share what I've found during my research.

What is a graphing calculator?
It's a brilliant piece of technology that can make life so much easier for math and science students. It's used mostly for higher level math - trigonometry and calculus - and allows you to work with several equations simultaneously. You can enter any equation and see it graphed - it makes the task of graphing really difficult equations quick and easy. The LCD screen allows you to track your calculations by letting you see all of the numbers you enter.

Many of these calculators, apart from solving equations and being able to store and analyze up to ten matrices together with data storage in lists of nearly 1000 elements per list also have the facility for playing games. The TI-83 Plus is one of the best calculators for this function - with thousands of games you can download online for free. You can also actually program simple games on it, and in fact it's a great introduction to computer programming if you're interested in going into that. Compared to the more expensive models, this one is much easier to use, and if you can find it at a good price, it's excellent value for money.

Finding a cheap TI-83
Although you can get more advanced models, the TI-83 has all the functionality needed for calculus, trig, statistics and more. However, if you're needing a graphing calculator for physics or chemistry you'll need a more advanced version like the TI-89 instead. Good quality graphing calculators are expensive, costing up to 0, but you can get cheap ones if you shop around. Instead of paying the regular retail price, you can find a cheap TI 83 graphing calculator online if you know where to look.


Cheap TI 83 Graphing Calculator

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Friday, November 25, 2011

Help, My TI-83 / Ti-84 Won't Graph

!±8± Help, My TI-83 / Ti-84 Won't Graph

It's 8 o'clock at night. Dinner is over. You're sitting down to watch a movie or Monday Night Football -- and then it happens . . . "Mommmmmmmmm (or Daddddddddddd), my calculator isn't working. I have to turn in my math homework tomorrow, and my graph isn't showing up."

"This can't be so bad", you think. "I passed high school math. Heck, I even installed the Quicken Accounting System at work. How complicated can a calculator be?"

The last time you looked at your child's TI-83 or TI-84 was in August at the office superstore; it was in the front of a shopping cart with on top of a pile three ring binders and notebook paper. It didn't look so bad then, but now you take a closer look and there are all kinds of keys you never saw before on a calculator. At the bottom is something familiar -- a normal looking array of number keys, and at the right are the usual add, subtract, multiply, and divide keys. But what the heck are "MODE", "DEL", "STAT", "ZOOM", "TRACE", etc. ? What are you going to do? Who ya gonna call?

Relax.

Here are a couple of really simple things to do; but remember, the title of this article is "Help, My TI-83 / Ti-84 Won't Graph", and that is really all that is addressed in this article.

The Graphing Buttons

Look at the top row of buttons on the TI-83/TI-84 calculator. There should be five of them, set apart from the other buttons; and they should have the following labels:

[Y=] [WINDOW] [ZOOM] [TRACE] [GRAPH]

This is where all of your activity is going to take place.

The Three Major Problems

Most of the time when a graph is not displaying, there are three reasons:

Graph Function.The graph function is not entered properly, or not entered at all. Graph Not Turned On. The graph function is entered properly, but graphing is not turned on. Viewing Window. The viewing window for the function is set to the wrong size or location.

We will deal with these one at a time.

Check that the Graph Function is Entered Properly

Push the [Y=] key at the top of the calculator. This puts you into the Y= editor screen. You should see a screen that looks something like this:

Plot1 Plot2 Plot3

Y1= 2X+1

Y2=

Y3=

Y4=

Y5=

Y6=

The expression "2X+1" is just an example, but you need to see some kind of expression in the Y= editor screen, not just a bunch of blank "Y=" lines. If all you see is the following, then you need to add an expression:

Plot1 Plot2 Plot3

Y1=

Y2=

Y3=

Y4=

Y5=

Y6=

If you want to try a really simple expression to make sure that the calculator can plot, use "Y1=X". This should plot a nice 45 degree line directly through the origin of the graph screen.

Check that the Graph Function is Turned On

It is possible that graphing of the function is not turned on in the Y= editor screen. This error is a little bit subtle. Look at the "=" sign in the equation you are trying to plot The "=" sign, must be highlighted.
If it is not, you must cursor to the "=" sign and press the [ENTER] key, to highlight it.

Viewing Window must be Set to Correct Size and Location

If the viewing window is set to the wrong size or location, the calculator may plot but you won't see it on the screen.

There are many ways to set the viewing window, but an easy reliable method is to simply "Zoom Out", until you see the function you are trying to graph. Push the [ZOOM] key at the top of the calculator. Then push "3" to zoom out. Repeat until you see the function you are trying to graph. Now you should have some idea what window you need to use to see the function plotted. Push the [WINDOW] key at the top of the calculator and adjust the display characteristics as necessary.


Help, My TI-83 / Ti-84 Won't Graph

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Saturday, September 3, 2011

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (2nd Edition) (Sullivan Concepts Through Functions Series)

!±8±Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (2nd Edition) (Sullivan Concepts Through Functions Series)

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Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry, Second Edition embodies Sullivan/Sullivan’s hallmarks–accuracy, precision, depth, strong student support, and abundant exercises–while exposing readers to functions in the first chapter. To ensure that students master basic skills and develop the conceptual understanding they need for the course, this text focuses on the fundamentals: preparing for class, practicing their homework, and reviewing the concepts. After using this book, students will have a solid understanding of algebra and functions so that they are prepared for subsequent courses, such as finite mathematics, business mathematics, and engineering calculus.

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Friday, August 19, 2011

Power Factor Correction for the management of the Utility

!±8± Power Factor Correction for the management of the Utility

Power Factor Correction

In general, the term power factor, the ratio of power actually used by the power actually delivered, and varies with the losses encountered in a particular system.

What are the causes of a low power factor? All inductive components within a system of distribution is necessary for the excitation of magnetic fields power. This applies to:
Asynchronous Transformers Induction Welder Induction regulators Fluorescent High Bay Lights Exhaust Magnets ClocksAll require electrical excitation current to the magnetic field needed to determine the function of individual elements of the system. Magnetic fields are a fact of life and power must be lived with.

Disadvantages

Here are some of the disadvantages that arise because of the presence of inductive circuits. First, the calculation of energy to the load you must:

Watt (W) = Volts (V) x Amps (A) xPower Factor

Initially increases as a power factor less than unity, the current in the system and therefore the system

Voltage to decrease with the following effects:
Low voltage lighting would reduce the light output. Induction motors at low speed (increased slip), the increased flows will need to do to meet the required loads. Increases due to increased flows of I2R power losses in cables and coils, toOverheating and consequent reduction in the lifetime of the devices. Capacity of contacts, switches, circuit breakers and fuses can be overcome with a reduction in the life cycle. Efficiency suffers as a whole, because more input in the development of performance improvement factor is absorbed losses.Advantages

After looking at the disadvantages now consider the advantages of improved power factor.
Ensure that the rated voltage of motors, lights, etc. applied for optimal performance. Reduction of losses in the circuits and cables. Reduction of losses in distribution transformers. Put your return is used in transformers and are not used in the manufacture-up losses. Allows existing transformers or additional load without overloading the need to support the capital costs of new transformers. Financial benefits from reducing peak demand charges.Simplified graphical representation will result

Power factor defined as the cosine of the angle betweenW and VA above, ie Cos (W / VA) is displayed. So with trigonometry, for any two given numbers, the rest can be solved. So, if we use (kWh) and reactive power (kvarh) know, we can calculate the power factor.

How to improve the power factor

As we approach the problem of improving the power factor? The usual method of making a capacitive system is through the introduction of static capacitors, the dielectric of chlorinated diphenyl impregnated paper reached the elements consist of asealed envelope, both in the circles of the load-source (for example in a sub-station) or near the inductive system.

Due to the fact that one of these capacitors, electrostatic first of these, are used to offset the income reflux inductive circuits. When connected to the circuit, the capacitors act as a reservoir of energy that can be exchanged between the field dielectric of the capacitor and the magnetizing current requirements of the inductive system.

Other methodsPower factor correction capacitors and synchronous motors are synchronous. Synchronous motors are excited by DC and therefore does not require a power delay for the purposes of the magnetization on the system. These machines are primarily for situations in which the rate constants are needed, determined on a wide range of loads, but are also able to operate in power factor between 0.8 units and leaders. This feature allows the system to benefit, in general, and an improved power factorResults. But unless the speed control characteristics are essential, would be the high cost of these machines, for reactive power compensation are just very uneconomical. Synchronous condensers are purely for situations which require large amounts of corrective measures kVAr, and not have the mechanical stress. These are not usually considered normal for industrial purposes.

Example:

If consumption of 100,000 kWh and 65 000 reactive kVArh was, then, using the methodologysaid, the power factor is 0.838. If we go above 0.95 to avoid surcharges, the capacity should be installed. This can be calculated by the installer.

Control of capacitors

Static control of capacitor banks from equipment contractor who in turn is controlled by a relay sensor. Basically a single-phase voltage and current to the relay, so they will be removed at unity power factor of the vectors of current and voltage applied to90 degrees.

Changes in this angular displacement will be either inductive or capacitive connect through the relay which then passes the contractors that the reactive kVAr required to correct the power factor, specified in or out of the system. Control relay can be mono or multi-phase, depending on the size of the capacitor equipment in use.

In a smaller system, the capacitor bank is likely to be close to the feed. The installation is the largest everCapacitors at different load centers would be located on the next distribution. In practice, however, is cheaper, the capacitor banks, along with multiple levels of supervision, possibly in a sub-station (which is also the possibility of interference of the relay).

Individual adjustment should be, for example, engine 37 kW and its volume. In this case, control relays would not be necessary, because the capacitors would be connected with the operation of itsthe engine. Individual correction can also be an advantage with welding equipment.

Level correction

Having established that there is a need for correcting the power factor, to what extent the correction should be applied?

This depends largely on the geographical location of the plant in question. While improvements in efficiency, it is desirable, the savings from low price / contract fees, which will inevitably determine whether a plant can be grownperformed. The power factor, under which bonuses are applied depending on the congestion charge zone network and from 0.85 to 0.98.

In general, the optimum is a residue from 0.95 to 0.98. At this level, both factors of customs, and efficiency are covered.

Maintenance

As for maintenance, as there are no moving parts, which have a capacitor, very little to go wrong. Capacitors can be controlled at every stage by measuring the current, what should beabout the same as indicated on the label. The only other maintenance is to clean the condenser bushings and check that the connections are tight.

Observed and entrepreneurs are moving contacts will be given every three months to ensure that there is no pitting or burning. Switches, if any, should be used at least once a week to clean the contact surfaces as well.

Under normal circumstances, that all the reactive kVAr no control relayMaintenance, but if in doubt get the manufacturer to find out there.


Power Factor Correction for the management of the Utility

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Tuesday, August 9, 2011

Calculated Industries 44080 Construction Master Pro Construction Calculator

!±8±Calculated Industries 44080 Construction Master Pro Construction Calculator

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Post Date : Aug 10, 2011 02:40:23
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Saturday, August 6, 2011

TriGeom: A Song for trigonometry and geometry

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Wednesday, August 3, 2011

The advantages of online scientific calculator

!±8± The advantages of online scientific calculator

In the old days, people used to calculate with objects and objects such as sticks, leaves or beans. However, this leads to misunderstandings, sometimes, the injustice would be done, because of the honesty of the person that counts, it depends. So to solve this problem, the inventors abathia, the first hand-made wooden frame that had come from computers. There are no wires, between which are filled with beads. This wood is used by most computerDealers and branches for a time for plain and simple calculations. However, the functions are quite limited and only for simple calculations.

While the economy and technology, more and more to come out the inventor was carried out with a simple calculator for men, exact calculation. Some of the features as the 'plus',' not 'multiply' and 'split' were then developed. After the programmable computers were invented to easily perform complicated calculations.The latest computer called scientific calculator. It 'been widely used in universities and companies to facilitate the processes of calculation. As for comfort and scientific calculator, Rolf Howarth is the brainchild of online scientific calculator in 1996 for development. Square Box Systems Ltd. has been the host company for this service online since the launch of the software support.

The writing has all the online scientific calculator functions such as logarithms, access to basic2, square root, factorials, trig functions, hex, binary and other functions. Now, look at the advantages of this system, whether for business or personal use.

1) Convenience

It 'time to be convenient for people to perform complex calculations with on-line scientific calculator. Today, Wi-Fi is available everywhere and as long as you are connected to the Internet, the computer can, when ever you prefer.

2) Slightly

This calculator is onlinebe easily used. This is a manual or help system to guide you, if you're not sure which buttons to click for the calculations.

3) easy to use interface

It is not complicated, and has a user-friendly interface. All the buttons are laid out as good as the normal scientific calculator.

4) All calculations

This calculator can perform all sorts of calculations. For example, you can use to calculate your home loan, property tax, income taxBenefits, insurance and much more. And 'suitable for businessmen and students.


The advantages of online scientific calculator

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