1 / 13

6.1 – Ratios, Proportions, and the Geometric Mean

6.1 – Ratios, Proportions, and the Geometric Mean. If a and b are two numbers or quantities and b does not equal zero, then the ratio of a to b is a/b. The ratio of a to b can also be written as a:b.

alessandra-tandy
Download Presentation

6.1 – Ratios, Proportions, and the Geometric Mean

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 6.1 – Ratios, Proportions, and the Geometric Mean If a and b are two numbers or quantities and b does not equal zero, then the ratio of a to b is a/b. The ratio of a to b can also be written as a:b. For example, the ratio of a side length of Triangle ABC to a side length in Triangle DEF can be written as 2/1 or 2:1.

  2. 6.1 – Ratios, Proportions, and the Geometric Mean Example 1: Simplify the ratio. a. 64 m: 6 m b. 5 ft / 20 in

  3. 6.1 – Ratios, Proportions, and the Geometric Mean Example 1: Simplify the ratio. c. 24 yds to 3 yds d. 150 cm: 6 m

  4. 6.1 – Ratios, Proportions, and the Geometric Mean Example 2: You are planning to paint a mural on a rectangular wall. You know that the perimeter of the wall is 484 feet and that the ratio of its length to its width is 9:2. Find the area of the wall.

  5. 6.1 – Ratios, Proportions, and the Geometric Mean Example 3: The measures of the angles in Triangle CDE are in the extended ratio of 1:2:3. Find the measures of the angles.

  6. 6.1 – Ratios, Proportions, and the Geometric Mean Example 4: The perimeter of a room is 48 feet and the ratio of its length to its width is 7:5. Find the length and width of the room.

  7. 6.1 – Ratios, Proportions, and the Geometric Mean Example 5: The measures of the angles in Triangle CDE are in the extended ratio of 1:3:5. Find the measures of the angles.

  8. 6.1 – Ratios, Proportions, and the Geometric Mean An equation that states that two ratios are equal is called a proportion. The numbers b and c are the means of the proportion. The numbers a and d are the extremes of the proportion.

  9. 6.1 – Ratios, Proportions, and the Geometric Mean

  10. 6.1 – Ratios, Proportions, and the Geometric Mean Example 6: Solve the proportion.

  11. 6.1 – Ratios, Proportions, and the Geometric Mean Example 7: Solve the proportion. As part of an environmental study, you need to estimate the number of trees in a 150 acre area. You count 270 trees in a 2 acre area and you notice that the trees seem to be evenly distributed. Estimate the total number of trees.

  12. 6.1 – Ratios, Proportions, and the Geometric Mean

  13. 6.1 – Ratios, Proportions, and the Geometric Mean Example 8: Find the geometric mean of 24 and 48. Find the geometric mean of 12 and 27.

More Related