1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
s344n2d4d5 [400]
3 years ago
14

All the sides of a hexagon become three times the original length. find the ratio of areas of the new and old hexagons.

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0
To determine the ratio, we need to know the formula of the area of an hexagon in terms of the length of its sides. We cannot directly conclude that the ratio would be 3, the same as that of the ratio of the lengths of the side, since it may be that the relationship of the area and length is not equal. The area of a hexagon is calculated by the expression:

A = (3√3/2) a^2

So, we let a1 be the length of the original hexagon and a2 be the length of the new hexagon.

A2/A1 = (3√3/2) a2^2 / (3√3/2) a1^2
A2/A1 = (a2 / a1)^2 = 3^2 = 9

Therefore, the ratio of the areas of the new and old hexagon would be 9.
You might be interested in
An amateur soccer ball is priced at
Oduvanchick [21]

Answer: $26

Step-by-step explanation:

   If $19.50 is 3/4, we need to find 4/4.

3/4 -> 0.75

4/4 -> 1

    We will set up a proportion and solve.

\frac{19.5}{0.75} =\frac{x}{1}

19.5 = 0.75x

26 = x

         The professional ball is $26.

4 0
2 years ago
Read 2 more answers
Lines with the same slope are
Novay_Z [31]

Step-by-step explanation:

lines with the same slope are parallel.

I hope it's helpful!!

5 0
3 years ago
Read 2 more answers
How can you use an algebraic expression on a coordinate plane?
nydimaria [60]
Putting it in the middle sorry if it isnt right i never was really good at these but i tried.

4 0
3 years ago
Find the value of the variable.
MatroZZZ [7]

Answer:

sin 30=14/x

x=14*2

x=28

and

x=√{28²-14²}

x=14√3

7 0
3 years ago
Feel good inc lyrics by gorillaz and is also worth 100 points cuz why not-
krok68 [10]

This is my songgg!! Lol

4 0
3 years ago
Read 2 more answers
Other questions:
  • Anyone willing to take there time for this question
    15·1 answer
  • After World War II, Berlin was controlled by
    12·2 answers
  • What is it plz help me
    5·1 answer
  • PLEASE HELP
    15·1 answer
  • Tom started a savings account that earned $168 an interest in eight years with an annual rate of 7% simple interest what was the
    10·2 answers
  • Which graph shows the solution set for 2 x + 3 greater-than negative 9?
    6·1 answer
  • What does x equal in this equation -5x + 8 = -2
    5·2 answers
  • The answer I got for this problem was 10.8 (multiplied 18 and 60 then divided by 100) however, it stated that my answer is incor
    11·1 answer
  • Can someone plz help me ASAP thxs
    11·1 answer
  • A movie theater has a seating capacity of 315. The theater charges $5 for children, $7 for students, and $12 of adults. There ar
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!