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
harkovskaia [24]
3 years ago
6

A regular hexagon with side length 4 has the same area as a square. What is the length of the square?

Mathematics
1 answer:
svetlana [45]3 years ago
7 0

Answer: The length of the square is 6.44

Step-by-step explanation:

By definition, the area of a Regular polygon can be calculated with the following formula:

A=\frac{s^2n}{4tan(\frac{180}{n})}

Where "s" the length of any side of the polygon and "n" is the number of sides .

According to the information given in the exercise, you know that:

s=4

Since an hexagon has six sides, you know that:

n=6

Therefore, its area is:

A_h=\frac{(4^2)(6)}{4tan(\frac{180}{6})}\\\\A_h=24\sqrt{3}

The formula to find the area of a square is:

A=s^2

Where "s" is the length of any side of the square.

Since that regular hexagon has the same area as this square, you can substituting the area calculated above into the formula for calculate the area of a square, and then solve for "s".

Then you get:

24\sqrt{3}=s^2\\\\\sqrt{24\sqrt{3}}=s\\\\s=6.44

You might be interested in
At Deb’s Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special. There are 5 c
Tju [1.3M]

Answer: 35

Step-by-step explanation:

Given : At Deb’s Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special.

The number of choices for sandwiches = 5

The number of choices for salad = 4

The number of choices for soup = 3

Now, the number of  possible lunch special combinations can be ordered will be :-

5\times4+5\times3=20+15=35

Hence, the number of  possible lunch special combinations can be ordered will be 35.

3 0
3 years ago
Sorry for the computer quality lol but can someone please help ?
xenn [34]

Answer:

a=(-1,0) b=(0,3) c=(-2,2)

Step-by-step explanation:

7 0
3 years ago
Last question !!!!!!!!
a_sh-v [17]

Answer:

49 degrees.

Step-by-step explanation:

Since the line is 180 degrees, and both of the angles that are measured would equal 180, then all we need to do is take 180 - 131 to get 49 degrees.  Hope this helped!

-Kirito

6 0
3 years ago
A ladder is placed in such a way that it reaches a window 12 m high from the ground on placing it against a wall at a distance x
liubo4ka [24]

Answer:

9 m

Step-by-step explanation:

Suppose AB is the ladder. AC is the height of the window above the ground and BC is the distance of the foot of ladder from the wall.

The triangle ABC is right angled at C.

∴ AB² = AC² + BC²

=> 15² = 12² + x²

=> 225 - 144= x²

=> 81 = x²

=> 9 = x

  • Hence, distance of the foot of the ladder from the wall is 9 m.

5 0
3 years ago
Read 2 more answers
If 100ml of ant poison is mixed with 1,5 l of water, then what would the
max2010maxim [7]

Answer:

1 : 15

Step-by-step explanation:

1,5 l of water = 1500 ml water

poison : water = 100 : 1500 = 1 : 15

Answer: 1 : 15

3 0
2 years ago
Other questions:
  • Please need help, Will give brainiest!!!!
    14·1 answer
  • What is the inverse of the function h(x)=\dfrac{5}{2}x+4h(x)= 2 5 ​ x+4h, left parenthesis, x, right parenthesis, equals, start
    11·2 answers
  • Solve for me pls :)
    13·1 answer
  • What is the correct way to write three hundred nine million, fifty-eight thousand, three hundred four?
    13·1 answer
  • A tractor-trailer travels 205.296 miles in 3.12 hours. What is the speed at which the tractor-trailer is traveling?
    5·2 answers
  • Along the highway, the children see a sign stating that. Old towne is 36 1/3 miles away and bridgeway is 52 1/4 miles away. How
    7·1 answer
  • Two students have examined the scatter plot shown and have created a line of best fit for the data. Student A believes that the
    9·1 answer
  • Lim x tends to π÷2 , then what is the value of (tanx + cotx) ÷ ( tanx - cotx)​
    13·1 answer
  • Fractions and decimals<br> T_T
    13·1 answer
  • PLEASE PLEASE PLEASE HELP A BROTHA OUT, THIS WAS DUE 5 DAYSS AGO please and thanks
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!