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
HELP EMERGENCY!!!! (2.5 x 10-10) (7 x 10-5)<br> Express your answer in scientific notation.
dangina [55]

Answer:

1.75 × 10^{-15}  

I hope this helps!

8 0
2 years ago
If ∧ ASC ≅ ∧ KSC then ∠8 is congruent to which angle?
zalisa [80]

Answer:

B. angle 5

Step-by-step explanation:

7 0
2 years ago
Car travels 85miles at a speed of 34mph how many minutes did the journey take?
vredina [299]
The journey took 150 minutes. 
3 0
2 years ago
Read 2 more answers
Given the expression: 5x10 − 80x2 Part A: Rewrite the expression by factoring out the greatest common factor. Part B: Factor the
Darina [25.2K]

Answer:

5x^2 ( x^2 -2)(x^2 +2)(x^2+2x+2)(x^2-2x+2)

Step-by-step explanation:

5x^10 − 80x^2

The greatest common factor is 5x^2

5x^2 ( x^8 - 16)

Rewriting the parentheses

5x^2 ( x^4 ^2 - 4^2)

We notice the difference of squares (a^2 -b^2) = (a-b)(a+b)

5x^2 ( x^4 -4)(x^4+4)

Again rewriting the first parentheses

5x^2 ( x^2 ^2 -2^2)(x^4+4)

5x^2 ( x^2 -2)(x^2 +2)(x^4+4)

The last term can be rewritten as(x^2+2x+2)(x^2-2x+2)

5x^2 ( x^2 -2)(x^2 +2)(x^2+2x+2)(x^2-2x+2)

3 0
2 years ago
 A road has a 16.7% grade.<br>Why might we want to warn drivers of a grade like this?
never [62]
The higher the percentage, the steeper the grade and the steeper the hill. This warning is issued so drivers are more careful (otherwise they would probably get into more accidents).
8 0
3 years ago
Other questions:
  • Ashley has started a blog and is using the bar chart below to keep track of how many followers she has. How many followers will
    7·2 answers
  • You obtain a simple interest loan from National City for $2,500 at 7.5% for 5 years. Find the amount of interest on the loan
    5·1 answer
  • A biologist recorded a count of 360 bacteria present in a culture after 5 minutes and 1000 bacteria present after 20 minutes. Wr
    9·1 answer
  • List all the factors pairs of 54
    8·2 answers
  • Combine like terms to create an equivalent expression.
    6·1 answer
  • What is 300cm in meters
    15·1 answer
  • Select the correct properties of slope below. Multiple Response. A.The slope of a line is always positive B.The slope of a line
    10·1 answer
  • 1 000 sheets of computer paper for $8.95 find unit rate
    14·1 answer
  • What should be the first step in adding these equation to eliminate y 12x - 2y = -1 + 4x + 6y =-4
    5·1 answer
  • F + 25 = 50<br><br> f = <br><br> please help
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!