39477 round to the nearest 1000

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

<em>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</em>

<em />

∵ 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 <em>the ratio between their perimeters is equal to the constant ratio between their sides</em>, and <em>the ratio between their areas is equal to square the constant ratio between their sides</em>

∵ 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

2 years ago

Jill, Meg, and Beth are sisters. Jill is 4 years younger than Meg. Enter an algebraic expression based on this situation. Let m

Murljashka [212]

Lets say

Jill=J

Meg=m

Beth=b

Jill is 4 years younger than meg so j+4=m

This is because if you add 4 to Jill's age, her age is going to be Megs age

Hope this helps and a brainliest would be appreciated

4 0

2 years ago

Fill in the blanks to make each equation true

olasank [31]

Answer:

–5 + 8 = 3. Find each sum. 1. –4 + (–8). 2. 14 + 16. 3. –43 + (–12). –12. 30. –55. 4. ... 1. Change the minus sign to a plus. 2. Find the opposite of the 2nd number. 3. Add ... –8 + –2. –3. –8. –10. 4. –3 – 24. 5. 10 – 17. 6. 13 – 9. = –3 + –24. = 10 + –17 ... 30. 5 + 4 x 3 = ____46_______. 12. (7)(9) +. 9. 3 – 20 x 3 = ____6______.

Step-by-step explanation:

5 0

2 years ago

WHAT IS 5+6+6+^6 DIVDED BY 7

GaryK [48]

The value of the given expression is 11.57

<h3>Division of number</h3>

Division are written as a ratio of two values. Given the expression below

5+6+6+2^6 ÷ 7

Simplify to have:

(11+6+64)÷ 7

Simplify the expression in parenthesis

81÷ 7

11.57

Hence the value of the given expression is 11.57

Learn more on division here: brainly.com/question/25289437

#SPJ1

7 0

2 years ago

Can you use a proportion to solve for a missing side length when given two similar triangles?

VARVARA [1.3K]

Answer:

yes you can.

Step-by-step explanation:

to answer the question asked you can solve a proportion when given two triangles, but in this one I feel somethings missing like its possibly a multiple choice.

I tried every way I could think of and got this 6.5 for the bottom A-B

and for x about 4.153311-

6 0

3 years ago