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Page "Multiplication" ¶ 11
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area and rectangle
A large picnic area or camping development is most efficient in shape as a square or rectangle several hundred feet in width in preference to a long narrow area less than one hundred feet wide.
counted and plotted such that the area of each rectangle equals
This explains one definition as the area of a rectangle with sides of length one chain and one furlong.
Watterson opposed the structure publishers imposed on Sunday newspaper cartoons: the standard cartoon starts with a large, wide rectangle featuring the cartoon's logo or a throwaway panel tangential to the main area so that newspapers pressed for space can remove the top third of the cartoon if they wish ; the rest of the strip is presented in a series of rectangles of different widths.
In the area of mathematical tilings and polyominoes, the word domino often refers to any rectangle formed from joining two congruent squares edge to edge.
For example, a rectangle with a width of 3 and a length of 4 has an area that represents the product, 12.
" It also contains the general statement of the Pythagorean theorem ( for the sides of a rectangle ): " The rope stretched along the length of the diagonal of a rectangle makes an area which the vertical and horizontal sides make together.
The geometric mean of two numbers, a and b, is the length of one side of a square whose area is equal to the area of a rectangle with sides of lengths a and b. Similarly, the geometric mean of three numbers, a, b, and c, is the length of one side of a cube whose volume is the same as that of a cuboid with sides whose lengths are equal to the three given numbers.
* Any Cartesian product of intervals b and d is Lebesgue measurable, and its Lebesgue measure is ( b − a )( d − c ), the area of the corresponding rectangle.
Data features included sorting data in any defined rectangle, by order of information in one or two columns in the rectangular area.
Multiplication can also be visualized as counting objects arranged in a rectangle ( for whole numbers ) or as finding the area of a rectangle whose sides have given lengths ( for numbers generally ).
" by asking in response, " Which contributes more to the area of a rectangle, its length or its width?
" For a particular rectangle, its area is indeed the product of its length and width.
When the price is reduced, their benefit is the area in the rectangle formed on the top by P < sub > 0 </ sub >, on the bottom by P < sub > 1 </ sub >, on the left by the price axis and on the right by line extending vertically upwards from Q < sub > 0 </ sub >.
that is, tariffs are beneficial to the society if the area given by the rectangle E more than offsets the losses shown by triangles B and D. Rectangle E is called the terms of trade gain whereas the two triangles B and D are also called efficiency loss, as this cost is incurred because tariffs reduce the incentives for the society to consume and produce.
While the lower section corresponds to the color red, the upper area is divided once in a blue square and a white rectangle whose lengths are in proportion 1: 2, respectively.
By the Imperial period the large public buildings that crowded around the central square had reduced the open area to a rectangle of about 130 by 50 meters.
* The area K of the parallelogram to the right ( the blue area ) is the total area of the rectangle less the area of the two orange triangles.

area and does
The problem arises, if it does arise, when the educator has to make a choice or a decision within the area of his professional competence, but which bears some relation to the social structure.
What does he conceive his role to be in this area of social unrest??
If abiotic stress does not have a strong presence in an area, the biodiversity will be much higher.
The base does not appear on public U. S. government maps ; the USGS topographic map for the area only shows the long-disused Groom Mine.
Ground bay laurel may be substituted for whole leaves, and does not need to be removed, but it is much stronger due to the increased surface area and in some dishes the texture may not be desirable.
Evaluating Collins ' approach, he considers " the wide geographical spread from which the material comes and the implicit assumption that linguistic developments would have occurred uniformly throughout this area " a weakness and concludes, " The character of the Hebrew and Aramaic could support a date in the fifth or fourth century for the extant written form of the book, but does not demand a second-century date.
Only Kawerau District, an enclave within Whakatane District, continues to follow the tradition of a small town council that does not include surrounding rural area.
The broken line measuring the coast does not extend in one direction nor does it represent an area, but is intermediate.
Colloquial usage does not distinguish the senses of " asterism " and " area surrounding an asterism ".
However, all this metaplasia does increase the risk of cancer in this area-the transformation zone is the most common area for cervical cancer to occur.
As the engine only renders the immediate area around the player, this does not allow a player to see the entire level at once.
The estimation of the monitor size by the distance between opposite corners does not take into account the display aspect ratio, so that for example a 16: 9 widescreen display has less area, than a 4: 3 screen.
* Falling putts ( when the player follows through described above on a putt 10 meters or shorter ) and foot faults ( when a player does not release the disc behind their mark or within the required distance of the mark, when a player has a part of their body touching the ground on release past their mark or when their tee shot is released from off the teeing area ) are penalized in a unique way.
Rather than cover the danger area, the approach is to change the shape of the door so that an accessible gap does not form in the first place.
Although the XM-291 does not immediately mean that ETC technology is viable at this current point in time it does offer an example that it is possible and that continued research in the area is worth the advantages reaped if such a system was to be successfully implemented on a modern tank.
Gotland is the only Swedish county that does not have a county council, as well as having only one municipality and one telephony area code.
: What does seem nowadays proved is that the British troops who had landed on the South Mole area raised their flag to signal their presence to the ships, and avoid being fired upon by their own side.
A hybrid type, known as a " brollar ", increases the bearing area of the breastcollar around the shoulder of the horse, but does not have rigid hames.
Their area does not always correspond with the area of the counties currently used for local government purposes.
This provision does not apply to the boundaries between cities and counties, or between the three counties in the Dublin area.
The Moldovan government does not maintain many formal barriers to foreign investment, and the Moldovan embassy reports that foreign investors are free to " place their investments throughout the Republic of Moldova, in any area of business activity, as long as it does not go against the interests of the national security, anti-monopoly legislation, environment protection norms, public health and public order.

area and depend
The successful and positive resolution of these crises during adolescence involves an epigenetic principle -- during adolescence, the individual's positive resolutions in each area of identity crisis depend, to a considerable degree, on his already having resolved preliminary and preparatory identity crises during his infancy, childhood, and early adolescence.
Though this method can backfire, as the general opinion of feet can depend on the culture and society of the area.
Precise definitions depend on the subject area.
Values depend upon the distance to the earthquake, with the highest intensities being around the epicentral area.
Since surface area is a geometric notion, areas of congruent surfaces must be the same and area must depend only on the shape of the surface, but not on its position and orientation in space.
The impact of this road on migratory wildlife will undoubtedly be negative and reduce the aesthetic value of the ecosystems, but the magnitude of the impact ( in numerical terms ) on the population will depend on the extent to which the road acts as a barrier to movement, causes collision mortalities, and opens the area to illegal hunting.
Which method ( s ) to use depend on the scale and size of the area under study, its accessibility, and the quality of existing surveys.
Because Slaughter Beach is such an important area for the continued survival of horseshoe crabs and the migrating birds that depend on their eggs, the town has adopted the horseshoe crab as its official town symbol.
After the war, many freedmen stayed in the area as sharecroppers and tenant farmers, and the economy continued to depend on agriculture.
The area had not had a grocery store in many years and had to depend on the nearby town of Richmond for all shopping.
In short: the magnetic field inside an infinitely long solenoid is homogeneous and its strength does not depend on the distance from the axis, nor on the solenoid cross-sectional area.
The surface area is another numerical quantity which should depend only on the surface itself, and not on how it is parameterized.
The actual structure of the corporate strategy will depend greatly on the current circumstances of the company and the area where the development is desired.
When we specify the internal energy to be U, what we really mean is that the total energy of the gas lies somewhere in an interval of length around U. Here is taken to be very small, it turns out that the entropy doesn't depend strongly on the choice of for large N. This means that the above " area " must be extended to a shell of a thickness equal to an uncertainty in momentum, so the entropy is given by:
The area has an eruption warning system of three colors, red, yellow and green which depend of the status of Popocatepetl.
Early in summer the size of the area used by greater sage-grouse hens with broods in Idaho seemed to depend upon the interspersion of sagebrush types that provided an adequate amount of food and cover.
Some spam countermeasures depend on detection, and there are two developments in that area: a GSMA pilot spam reporting program, and the development of Open Mobile Alliance ( OMA ) standards for mobile spam reporting.
on a future career will depend on the area of study.
The effects on the grass depend on the type of fungus that is growing ; when Calvatia cyathiformis is growing in the area grass will grow more abundantly ; however, Leucopaxillus giganteus will cause the grass to wither.
Fear conditioning is thought to depend upon an area of the brain called the amygdala.
Specific radio carriage requirements depend upon the ship's area of operation, rather than its tonnage.
Since the eagles depend on surprise to make a catch, this frequently causes them to leave the area.
The debate pits conservation groups trying to balance recreation and protection, and the effects of sprawl and overdevelopment upon wildlife, quality of life, and the employment of local populations who depend in part on the hunting, fishing and tourist trades which may be damaged by the overdevelopment of the area.

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