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
Igoryamba
3 years ago
6

The diagram below shows a rectangle inside a regular hexagon . the apothem of the hexagon is 19.05 units . to the nearest square

unit . what is the area of the shaded region
A. 1257
B.861
C.442
D.1653

Mathematics
2 answers:
gregori [183]3 years ago
8 0

Answer:

<h2>B. 861.</h2>

Step-by-step explanation:

In the figure attached, you can observe that the shaded area can be found by calculating the difference between the area of the regular hexagon and the area of the rectangle inside.

The area of a regular hexagon is defined as

A_{hexagon} =\frac{Pa}{2}

Where P is the perimeter and a is the apothem.

By given, we know that the side of the hexagon is 22 units.

Remember that the perimeter is the sum of all sides, in this case would be

P_{hexagon}=22(6) =132.

The perimeter of the hexagon is 132 units.

Therefore, the area is

A_{hexagon} =\frac{132(19.05)}{2}=\frac{2514.6}{2}=1257.3 u^{2}

On the other hand, the area of the rectangle is defined as

A_{rectangle}=bh, where b is the base and h is the height. We know, by given

b=22\\h=18

Replacing these values, we have

A_{rectangle}=bh=22(18)=396 u^{2}

As we said before, the shaded are is defined by the following difference

A_{shaded}=A_{hexagon}-A_{rectangle}

Replacing each area, we have

A_{shaded}=A_{hexagon}-A_{rectangle}\\A_{shaded}=1257.3u^{2} -396u^{2}=861.3 u^{2}

Therefore, the right answer is B. 861.

Ulleksa [173]3 years ago
5 0
The correct answer is: B 861
You might be interested in
Helpppppp pllzzzzzzzzz
fgiga [73]

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

<u>Area of square 1: 81 square inches</u>

s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9

<u>Perimeter of square 2: 48 inches</u>

4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

(H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15

Hence,

The length of side of largest square is 15 inches

5 0
3 years ago
What answer to this question?
horrorfan [7]

Answer:

221

Step-by-step explanation:

13 x 17 = 221

4 0
3 years ago
Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressio
KIM [24]

Answer:

Therefore x=9

Step-by-step explanation:

Give that,

log x+ log (x-3) = log 54

log x(x-3) =log 54             [    log_ca+log_c b=log_c(ab)   ]

x(x-3) = 54

Now expand the above equation to get a quadratic equation

x²-3x=54

⇒x²-9x+6x-54=0

⇒x(x-9)+6(x-9)=0

⇒(x-9)(x+6)=0

⇒x-9=0  or, x+6=0

⇒x=9,-6

Now putting x= -6 in the given expression,

log(-6)+log(-6-9)=log 54.

Since log (-6) does not exist.

Therefore x=9

8 0
3 years ago
Dari data berikut tentuka median ( nilai tengah):
Andrej [43]
First, put the numbers in order
A. 1,2,3,4,5,7,8,8,9.....median (middle number) is 5..when there is an odd number of data values, there will only be one median.
B. 14,14,15,16,17,18,19,20....if there is an even number of data points, there will be 2 middle numbers. In that case, u add the 2 middle numbers and divide by 2 to find the median. (16 + 17) / 2 = 33/2 = 16.5 is ur median.
7 0
3 years ago
Which expression would be easier to simplify if you used the associative
user100 [1]

Answer:

A

Step-by-step explanation:

50 plus 50 is the easiest number to add so in the associative property you put the easiest problem in parentheses so you can do it first like answer A is

5 0
3 years ago
Read 2 more answers
Other questions:
  • The difference between the prediction interval and the confidence interval is that A. the prediction interval is narrower than t
    12·1 answer
  • Pleas help !!!<br> Choices <br> X= -1<br> Y = -1<br> X = 1<br> Y= 1
    7·1 answer
  • Evaluate the following equation for p:<br> -3p + 6 + 7p = 22
    8·2 answers
  • PLEASE HELP SOMEONE!! thank you!<br><br> find j<br><br> write your answer in simplest radical form
    6·2 answers
  • Use the rulers to help you estimate the perimeter of this triangle. <br> 6.5 in. 3 in. 6 in. 7 in.
    15·2 answers
  • Simplify the following equation:
    13·1 answer
  • What is the angle of rotation of the image?<br> A. 60°<br> B. 90<br> C. 120<br> D. 180
    13·1 answer
  • What is <br> f(x)=2x+3<br> if x=10
    12·2 answers
  • What is the possible range of y-values that, along with x=7 form a solution to the following inequality?
    8·1 answer
  • 7. Of the Americans
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!