When the denominator and numerator are equal, it means?

The sides of two regular octagons are 3 in. And 6 in. respectively. Find the ratio of their perimeters and their areas

photoshop1234 [79]

The ratio of their perimeters is $\frac{1}{2}$ and the ratio of their areas is $\frac{1}{4}$

Step-by-step explanation:

A regular n-side polygon has

n equal sides
n equal angles
The measure of each interior angle = $\frac{(n-2).180}{n}$
Its perimeter = n × a, where a is the length of its side

V.I.Note: all regular polygons have same number of sides are similar, because their interior angles are equal in measures and their sides are proportion

∵ There are to regular octagons

- Regular octagon has 8 equal sides and 8 equal angles

∴ The two octagon are similar

∵ Their sides are 3 inches and 6 inches

∴ The constant ratio between their sides = $\frac{3}{6}$

- Divide the two terms of the ratio by 3 to simplify it

∴ The constant ratio between their sides = $\frac{1}{2}$

In similar figures the ratio between their perimeters is equal to the constant ratio between their sides, and the ratio between their areas is equal to square the constant ratio between their sides

∵ The two octagons are similar

∵ The constant ratio between their sides = $\frac{1}{2}$

∵ The ratio between their perimeters = the constant ratio between

their sides

∴ The ratio between their perimeters = $\frac{1}{2}$

∵ The ratio between their areas = (constant ratio)²

∴ The ratio between their areas = $(\frac{1}{2})^{2}=\frac{1}{4}$

The ratio of their perimeters is $\frac{1}{2}$ and the ratio of their areas is $\frac{1}{4}$

Learn more:

You can learn more about the polygons in brainly.com/question/3779181

#LearnwithBrainly

6 0

3 years ago

Refer to the given table on air travel. Suppose a flight that arrived at El Centro is selected at random. What is the probabilit

Triss [41]

In probability, you study the chances of an event to happen based on statistics gathered. Probability is always expressed as a part of a whole, thereby in fractions or percentages. From the statistics gathered, it said that 80% of the time, the plane arrives right on schedule in El Centro. That means that the probability of NOT arriving on time is the other portion, which is 20%. Thus, the answer is 20%.

5 0

3 years ago

You are paid $82.50 for 7 1/2 hours of work, whats is your rate of pay?

ra1l [238]

Answer:

Rate of Pay is $11 per hour.

Step-by-step explanation:

Cost of $7\frac{1}{2}\:hr$ of work = $ 82.50