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
vazorg [7]
3 years ago
15

Find the area of a regular hexagon with the given measurement. 6-inch radius

Mathematics
2 answers:
erastovalidia [21]3 years ago
6 0
 It would probably be 93.5. I hope this helps. have a blessed day.
Misha Larkins [42]3 years ago
4 0

Answer:

54\sqrt{3}

Step-by-step explanation:

In order to solve a regular polygon, you would use the equation: A=\frac{1}{2} (a)(p)

First start by replacing the variables in that equation with what we know. We know that the radius is 6 inches and that hexagons are made up of equilateral triangles. If a 6 inch radius is the side of a single equilateral triangle, then all the sides on that triangle = 6. If all the sides on that one triangle = 6, then all the sides on all the triangles = 6. Therefore, each side of the hexagon = 6.

Now we know that the perimeter = 36. Now our equation is A=\frac{1}{2} (a)(36).

The apothem is 3\sqrt{3} because the apothem, side, and radius create a right triangle. We know that the radius and side = 6, and if the apothem divides the side in half then the short leg of our triangle = 3. If the length of hypotenuse of our right triangle = 6 and the length of the short leg = 3, then we can use Pythagorean theorem to find the long leg aka. the apothem.

Our equation would then be 3^{2} +b^{2} =6^{2} and so b=3\sqrt{3}.

Now we know what our apothem is so our equation is now A=\frac{1}{2} (3\sqrt{3} )(36)

Therefore A=54\sqrt{3}

You might be interested in
Please help me solve this by substitution: <br> y=x+2<br> 3x+3y=6
VikaD [51]

Answer:

x = 0, y = 2

Step-by-step explanation:

  1. solve the equation for x

3x + 3(x + 2) = 6

2. Substitute the given value of x into the simplest equation y= x + 2

y = 0 + 2

3. Solve the equation for y

y= 2

4. The possible solution of the system is the ordered pair ( x, y)

( x, y) = ( 0, 2)

3 0
3 years ago
The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes
Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 28, \sigma = 7

What is the probability that pledges are received within 40 days

This is the pvalue of Z when X = 40. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{40 - 28}{7}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564

95.64% probability that pledges are received within 40 days

7 0
3 years ago
The sum of two numbers is 75. The second number is 3
mihalych1998 [28]

Answer:

26 and 49.

Step-by-step explanation:

8 0
3 years ago
2. In the triangle below, NE and KL are perpendicular bisectors. Knowing that the sum of interior angles in
Stells [14]

Answer:

a = 60°

Step-by-step explanation:

From the picture attached,

In the given triangle,

NE and ML are the perpendicular bisectors of two sides of the triangle.

Therefore, m∠MEK = m∠MLK = 90°

Since, sum of interior angles of polygon KLME = 360°

m∠MEK + m∠MLK + m∠EML + m∠EKL = 360°

90° + 90° + 120° + a = 360°

a = 360° - 300°

a = 60°

5 0
3 years ago
Which of the following properly describe "slope"? Select all that apply.
blondinia [14]

Answer:

I would assume you're referring to this test? if so the answer is

a, d and e

5 0
1 year ago
Other questions:
  • Greebly has 35 dollars more than the flut.
    6·1 answer
  • What would -9 1/2 be as a decimal?
    15·2 answers
  • Put this into slope form x/2 + 2y= 6
    14·1 answer
  • Explain your answer !! <br> Have a nice day <br><br> Will give braisnlt
    7·1 answer
  • PLEASE HELP!
    6·1 answer
  • Find the area of the shaded region. Use 3.14 for pi.
    9·2 answers
  • -4x + 2x + 3x + 8<br> Asap
    9·1 answer
  • If the area of a rectangle is x^2+13x+36 and the length is x+9 what is the width
    12·2 answers
  • Is 7/10 greater than 6/12
    6·2 answers
  • The function f(x) is graphed. It represents a translation of the square root function g(x) = . What equation represents the grap
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!