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They may also contain a query language interface and address multithreading and synchronization, security, and repository At this point, level 3 is at the Working Draft stage, and level 4 and beyond are just speculation Level 2 became a Recommendation in November of 2000 As a W3C speci cation, the guiding objective for the XML DOM is to provide a standard programming interface to XML documents for a wide variety of applications The XML DOM is designed to be used with any programming language and any operating system..

1 3h

1 4 2;

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In the previous section we discussed various kinds of adjustments to ac counts to which entries had already been made. Now we consider those instances in which an expense has been incurred or an income earned but the applicable amount has not been recorded during the month. For example, if salaries are paid on a weekly basis, the last week of the month may run into the next month. If April ends on a Tues

4 23. 132.

The area of a regular polygon equals one-half the product of its perimeter and the length of its apothem. As shown in Fig. 10-5, by drawing radii we can divide a regular polygon of n sides and perimeter p ns 1 1 into n triangles, each of area 1rs. Hence, the area of the regular polygon is n(1rs) 2 2 2 nsr 2 pr.

Fig. 10-5





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10.6 Finding the area of a regular polygon (a) Find the area of a regular hexagon if the length of the apothem is 5 23. (b) Find the area of a regular pentagon to the nearest integer if the length of the apothem is 20.

1 2m

6(10)

(5 23) 360 /5

Solved Problem 6.1 For each of the following transactions, indicate in which journal Sales Journal (S), General Journal (G), or Cash Journal (C) it should be recorded: (a) Sale of merchandise to Marsha Byman on account, $400 (b) Sale of merchandise to Jim Dosen for cash, $150 (c) Cash refunded to Jim Dosen for goods returned (d) Marsha Byman returned part of the goods sold for credit, $100 Solution: (a) S (b) C (c) C (d) G

1 2 (5)

1 2 s /20

s/40

(40 tan 36 ) (20)

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With the XML DOM, a programmer can create an XML document, navigate its structure, and add, modify, or delete its elements. The key to understanding and using the DOM is to grasp the underlying tree structure that is built in the client memory and allows access to the API. The API is the interface to the document and allows the document to be manipulated during parsing. The documentElement is the top level of the tree. The documentElement may contain many branches, which are referred to as nodes. The node interface is the primary datatype for the entire DOM. It represents a single node in the document tree. It may contain a childNode, depending on its de nition (not all allow descendants). Examples of nodes that do not allow children are

Fig. 10-6

PRINCIPLE 1: PRINCIPLE 2:

Solution:

Regular polygons having the same number of sides are similar. Corresponding segments of regular polygons having the same number of sides are in proportion. Segments here includes sides, perimeters, radii or circumferences of circumscribed or inscribed circles, and such. Areas of regular polygons having the same number of sides are to each other as the squares of the lengths of any two corresponding segments.

PRINCIPLE 3:

10.7 Ratios of lines and areas of regular polygons (a) In two regular polygons having the same number of sides, find the ratio of the lengths of the apothems if the perimeters are in the ratio 5:3. (b) In two regular polygons having the same number of sides, find the length of a side of the smaller if the lengths of the apothems are 20 and 50 and a side of the larger has length 32.5. (c) In two regular polygons having the same number of sides, find the ratio of the areas if the lengths of the sides are in the ratio 1:5. (d) In two regular polygons having the same number of sides, find the area of the smaller if the sides have lengths 4 and 12 and the area of the larger is 10,260.

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