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
The inequality x &lt; 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible v
Elodia [21]

Answer:

$11, $13, $14

Step-by-step explanation:

all of those answers are greater than $9 but less than or equal to $14.

7 0
3 years ago
13 can someone please explain this
Lady bird [3.3K]

Answer:

8.

Step-by-step explanation:

13).

This is an equilateral triangle.

We see that all 3 angles are equal,  so all sides are equal also.

So 2x - 6 = 10

2x = 16

x = 8.

6 0
2 years ago
Read 2 more answers
Another Quick Question, True or false: The Intersection of two rays creates two pairs of vertical angles and four pairs of suppl
andrey2020 [161]

Answer:

True

Step-by-step explanation:

3 0
2 years ago
Plz help me out xx tysm
stiv31 [10]

Answer:

see explanation

Step-by-step explanation:

let the number be x , then

\frac{1}{2} x = 44.3 ← is the equation

6 0
3 years ago
Read 2 more answers
OPTIONS:
kondor19780726 [428]

You have to combine like terms (terms that have the same variable(x,y....) and power/exponent)²³

(4x³ - 4 + 7x) - (2x³ - x - 8)        Distribute -1 into (2x³ - x - 8)

(4x³ - 4 + 7x) + (-)2x³ - (-)x - (-)8   (two negative signs cancel each other out and become positive)

(4x³ - 4 + 7x) - 2x³ + x + 8    Now combine like terms

4x³ - 2x³ + 7x + x - 4 + 8     (I rearranged for the like terms to be next to each other)

2x³ + 8x + 4       It is equivalent to B

(-3x^2+x^4+x)+(2x^4-7+4x)       Combine like terms

-3x^2+x^4+2x^4+x+4x-7    (I rearranged for the like terms to be next to each other)

-3x^2+3x^4+5x-7    It is equivalent to D

(x² - 2x)(2x + 3)      Distribute x² into (2x + 3) and distribute -2x into (2x + 3)

(x²)2x + (x²)3 + (-2x)2x + (-2x)3

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together

2x³ + 3x² - 4x² - 6x      Combine like terms

2x³ - x² - 6x         It is equivalent to A

[Info]

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together. (You can combine the exponents only if they have the same variable)

For example:

x^{2} (x^3)=x^{(2+3)}=x^5

(y^3)x^2=y^3x^2         (You can't combine them because they have different exponents of y and x)

(5^2)(5^4)=5^{(2+4)}=5^6=15,625

7 0
3 years ago
Other questions:
  • 20 POINT QUESTION. EXPLAIN HOW YOU GOT THE ANSWER. I WILL MARK AS BRAINLIEST THANK YOU.
    15·1 answer
  • Use the substitution method to solve.<br><br> y=5−3x<br> 5x−4y=−3
    7·1 answer
  • Write 225 miles in 3 hours as a unit rate.
    13·1 answer
  • Which expression could be used to solve this problem?
    14·2 answers
  • Mary weighs n kg while her sister weighs 15 kg less. How many times is Mary heavier than her sister?
    8·2 answers
  • Pointssss
    13·1 answer
  • Please help! Brainliest and 5 star given
    13·1 answer
  • A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.
    10·1 answer
  • What is the y- intercept of this quadratic funtions f(x)=-x2+10x-22
    13·1 answer
  • Please solve it this is very important.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!