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Rainbow [258]
2 years ago
14

A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio

of the area of the larger hexagon to the area of the smaller hexagon
Mathematics
1 answer:
Anna007 [38]2 years ago
3 0

4/3 of the area of the larger hexagon to the area of the smaller hexagon

Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.

The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)

The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3

area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18

= 4/3

Required ratio = 4/3 answer

Learn more about Equations:

brainly.com/question/16450098

#SPJ4

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5 0
3 years ago
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It took Sheldon 17 5/6 minutes to walk to Raj's house. The bus ride home took Sheldon 4 5/8 minutes. How many more minutes did i
MA_775_DIABLO [31]

Answer:

it will take her  13\frac{5}{24} minutes more to walk down to Raj's House

Step-by-step explanation:

It took Sheldon 17 \frac{5}{6}  minutes to walk to Raj's house

It also took Sheldon 4\frac{5}{8} minutes to use the bus.

To get the time difference between the two transport mechanisms, we subtract their different time durations.

This will be

17\frac{5}{6} - 4\frac{5}{8}=317/24

We can convert this to Mixed fractions as shown 13\frac{5}{24} minutes.

Therefore, it will take her  13\frac{5}{24} minutes more to walk down to Raj's House

4 0
3 years ago
What are the awnsers<br><br> SHOW WORK!!<br> Please
rusak2 [61]

Answer:

Step-by-step explanation:
The rules For fractions: Multiple Denominator to Denominator and Numerator to numerator!

Ok: For number 1

3/5*1/1= 3/5

Number 2

3/4*9/4=27/16= 1 11/16

Number 3

14/21=2/3*33/7=66/21= 3 3/21= 3 1/7

Number 4

6/18*9/42= 1/3*3/14= 3/42= 1/14

Number 5

22/15*45/4= 33/2=16 1/2

Number 6

3/28* 35/6= 105/168= 5/8

Number 7

2/7*35/12=60/84=5/6

Number 8

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Hope It helps!!!!

7 0
1 year ago
Can someone help me with this problem please? Thank you!
Olenka [21]

Answer:

50

Step-by-step explanation:

since the Pythagorean theorem is

c= √a^2+b^2

b is the bottom line (48)

a is the right line (14)

c is the top line (c)

plug that in

c = √14^2 + 48^2

then do the exponets

14^2 = 14 * 14 = 196

48^2 = 48 * 48 = 2304

then add them together

196 + 2304 = 2500

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the sqrt of 2500 is 50 (50 * 50 = 2500)

c = 50

your answer is 50

hope this helps:)

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The question is cut off.

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3 years ago
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