Lin and Andre used different methods to find the area of a regular hexagon with 6-inch sides. Lin decomposed the hexagon into six identical triangles. Andre decomposed the hexagon into a rectangle and two triangles.


Find the area of the hexagon using each person’s method. Show your reasoning.

Answers

Answer 1

Answer:

108inches^2

Step-by-step explanation

.............................................

Divide the hexagon in identical triangles.

Triangle area = length × width / 2

6 × 6 = 36

36/2= 18

Answer 2

The area of a regular hexagon is 85.28 square inches.

Given that, Lin and Andre used different methods to find the area of a regular hexagon with 6-inch sides.

We need to find the area of a hexagon using both methods.

What is the area of a regular hexagon?

The formula for the area of a regular hexagon is (3√3 s²)/2, where 's' is the length of the side of the hexagon. Since we are talking about a regular hexagon, it should be noted that all sides are of equal length. When one side of the regular hexagon is known, the area can be calculated with the formula, Area of the hexagon = (3√3 s²)/2, where 's' is the length of the side of the hexagon.

We know that, the area of an equilateral triangle=√3/2 × a².

So, the area of an equilateral triangle= √3/2 × 6²

=18√3 square inches

Now, the area of a hexagon=6×18√3

=108√3=187.06 square inches

Area of the rectangle = length × width = 10.4 × 6 = 62.4 square inches

Area of a triangle= 1/2 × Base × Height = 1/2 × 10.4 × 2.2 = 11.44 square inches

Now, 11.44 × 2=22.88

Area of a regular hexagon =  62.4+22.88 =85.28 square inches

Therefore, the area of a regular hexagon is 85.28 square inches.

To learn more about the area of a regular hexagon visit:

https://brainly.com/question/28157715.

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Your question is incomplete, probably the complete question/missing part is:

Lin and Andre used different methods to find the area of a regular hexagon with 6-inches sides. Lin decomposed the hexagon into six identical, equilateral triangles. Andre decomposed the hexagon into a rectangle and two triangles. Lin's method Andre's method Find the area of the hexagon using each person's method. Show your reasoning.

Lin And Andre Used Different Methods To Find The Area Of A Regular Hexagon With 6-inch Sides. Lin Decomposed

Related Questions

b. The manufacturer decides to decrease the size of the box by reducing each of the dimensions by 1 inch. Find the decrease in surface area.
I already know what the surface area is please help me

Answers

Answer:

94 in, or about a 25% decrease.

Step-by-step explanation:

Starting surface area- 384

Decreased surface area- 290

384-290=94

To go from 384 to 290 would be a 24.48% decrease.

PLEASE ANSWER NOW!!! I'M TIMED ON EDGE!!!

Leo wants to determine the average number of texts middle school students send in a day. Since all middle school students are enrolled in history, he randomly surveyed 4 students from each of Mr. Barnes’s eighth-grade history classes. Ms. Lopez and Mrs. Frank also teach eighth-grade history. What should Leo do to ensure his sample is representative of all middle school students?
He should take the sample as is because he randomly surveyed students in each of Mr. Barnes’s classes.
He should also take a sample from Ms. Lopez’s and Mrs. Frank’s classes so that each student has the same chance of being chosen.
He should also take a sample from each of the other history classes in all of the other grades in the middle school.
He should survey all the students in all the history classes to make sure he collects enough data.

Answers

Answer: C) He should also take a sample from each of the other history classes in all of the other grades in the middle school.

Step-by-step explanation:

In order for his sample to be representative of all middle school students Leo: C) Should also take a sample from each of the other history classes in all of the other grades in the middle school.

What is sample?

Sample can be defined as the data that is randomly collected by a researcher so as to reach or draw a conclusion.

Since only one grade is being surveyed which is Mr. Barnes’s eighth-grade history classes, he should as well carryout the survey on Ms. Lopez and Mrs. Frank history class.

Inconclusion he should also take a sample from each of the other history classes in all of the other grades in the middle school.

Not only students in the 8th grade are in the middle school, there are other students in other grades who are in the middle school and are enrolled in history classes. Leo's sample is only from one grade of the middle school. In fact, including Ms. Lopez's and Mrs. Frank's classes in the selection of sample is not sufficient. Leo has to take a sample from the remaining grades to avoid making a wrong conclusion as a result of bias in the choice of data.

The answer is c I am sorry if this is wrong

What is the value of x?

Answers

X = 40 degrees.

95 - 135 = 40

Hope this helps!!
So Basically you will take The 135° and subtract it by whatever other number there is, so in this case there is 95° Do you would do 135°-95°= 40 Therefore your X would equal X=40

i need help with my math

Answers

Answer:

A: 8 more 7th graders

B: 28%
C:  jump rope

Step-by-step explanation:

10-18= 8

10 out of 280 is 28%

The speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph with a tail wind. What was Alyssa's average speed on the round trip? Round your answer to one decimal place.

P.S: The answer is not 540

Answers

Answer:

the ansere is -20

Step-by-step explana

The speed is given by the arithmetic mean. Then the jet Alyssa's average speed on the round trip is 540.

What is the average speed?

The total distance covered by the particle or the body in a total time is called average speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the average speed formula

[tex]\rm v_{a} = \dfrac{v_1+ v_2}{2}[/tex]

The speed of the jet Alyssa flew on from Boston to London was 480 mph.

On her return flight, the speed of the jet was 600 mph with a tailwind.

Then the average speed of the jet will be

[tex]\rm v_{a} = \dfrac{v_1+ v_2}{2}\\\\v_{a} = \dfrac{480 + 600}{2}\\\\v_{a} = 540\ mph[/tex]

More about the average speed link is given below.

https://brainly.com/question/7359669

norm has $25 from his birthday to start with and plans to add $7 each week

Answers

Answer:

Total amount = 7x + 25

Step-by-step explanation:

Assuming that week can be denoted by a variable, in this case, x. Also assume that the total amount owned is denoted by the variable, y.

Note that $25 is the constant, meaning that that amount will not change. Norm would technically have at least $25 regardless of how much week passes.

The amount that changes per week is the addition of $7.

Set the equation:

Total amount = ($7 per week x  amount of week(s)) + starting amount (constant).

Total amount = 7x + 25

~

7x + 25 you have to switch it around to subtraction

Mr. Markum also orders sneakers for the girls' softball
team. He makes the table below. The mean size of the
sneakers to the nearest tenth is 8.2. Complete the table.

Answers

7- 1.2
7.5- 0.7
8- 0.2
8.5- 0.3
9- 0.8
9.5- 1.3
10- 1.8

please help 50 points

Answers

Answer:

add them all togther then subtract them by 50

Step-by-step explanation:

Ok. Last one please help me. I will give you 5 stars, and a like

Answers

Answer:

3.14

Step-by-step explanation:

The five dollars subtracting what he had left. so that gives you 3.14

Subtract $1.86 ( what he was given back)
From the $5.00 ( he gave)
Answer will be 3.14

3/5x10/11 ( this / means fraction symbol ) simplify if can

Answers

6/11 decimal form 0.54

the city is planning to add a fish pound to a neighborhood park. the figure below is a scale drawing of the fish pound. its scale is 1/2 inches to 15 feet.


the city will place a low fence around the entire fish pound . how long will the fence be .

Answers

Answer: Sorry if it's wrong I hope I helped you

Complete the long division problem on your own sheet of paper. Then, fill in the digits.

Answers

Step-by-step explanation:

Answer attached..

MARK ME AS BRAINLIST

Answer:

1864 Remainder 2

Step-by-step explanation:
1864R2
______

5|9322
-5

= 43

-40

=. 32

-30

=. 22

-20

=. 2

(helps please, view the image below..)

Answers

Answer:

A. KOL and LOM

Step-by-step explanation:

Adjacent angels must share a vertex and the same common side. KOL and LOM match both of these requirements.

A is KOL and LOM adjacent angles must share a vertex

If the average of the following data is 8, what is value of b?
3, 9, 8, 5, 10, 4, 4, b

Answers

Therefore, B is 21.

I hope that's helpful.

Answer:

The answer is b= 8

Which of the following numbers is an outlier in this set of data:
65, 68, 8, 72, 58, 77

Answers

Answer:

8

Step-by-step explanation:

Its the odd one out

It is 8 I think lmk if I’m right

A spinner has 5 equally sized sections labeled A, B, C, D, and E.

What is known about the probability model for this situation?

Select all correct answers.


A. The probability model for this situation is non-uniform.

B. The probabilities of the individual outcomes are not the same.

C. The probabilities of the individual outcomes are the same.

D. The probability model for this situation is uniform.

Answers

Answer:

B. and D.

Step-by-step explanation:

I believe it's right because it is uniform and im pretty sure they are not the same though

The probability model for this situation is

The probabilities of the individual outcomes are the same.

and, The probability model for this situation is uniform.

The correct option is (C) and (D).

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Given:

A spinner has 5 equally sized sections labeled A, B, C, D, and E.

As,

P(A)= P(B)= P(C)= P(D)= P(E)= 1/5, which is same.

The probability model for this situation is uniform.

Hence, The probabilities of the individual outcomes are the same.

and, The probability model for this situation is uniform.

Learn more about probability here:

https://brainly.com/question/11234923

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You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.5 feet, and the height will be 20 inches.

Answers

Part A is 14,040 inches
Part A: 14,040 cubic inches

GIVING BRAINLIEST AND %) POINTS!!!!!

Answers

Answer:

here-

Step-by-step explanation:

hope it helped-

Answer:

now u can make the other person brainliestttt :DD

Step-by-step explanation:

what is the area of this face?

Answers

Answer:

38 in

Step-by-step explanation:

its hard to explain but ik im right ;-;

The answering 38 have a good day!!

The graph below shows the numbers of visitors at a museum over six days.

Answers

Answer:

a) 305 people

b) Friday to Sunday

Step-by-step explanation:

A. The highest point that the graph reaches is 305

B. The biggest decline is from Friday to Sunday.

A) 305
B) Friday to Sunday

305 is the highest number in the graph and the most decrease days is Friday to Sunday

Bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly $128 in interest after 2 years. How much money should he deposit?

Answers

To solve for the Principal amount, we will use the formula:

                            P = I / rt

P = principal amount; which is the amount that we will be solving for.

I = the interest accrued within the allotted time frame. ($160)

r = the interest rate percentage. (1.6%)

t = the time frame that the money will accrue interest. (2 years)

Before we can plug in the numbers into our formula, we need to convert our percent into a decimal. To do this, move the decimal two places to the left. This will leave us with 0.016. We'll use that for "r".

Let's plug in the numbers:

P = 160 / (0.016) (2)

Multiply your bottom numbers together for 0.016 x 2 =0.032

P = 160 / 0.032

Divide now.

160 ÷ 0.032 = 5,000.

This tells us that, Bert will need to deposit $5,000 into the savings account to earn $160 within 2 years with a 1.6% interest rate.

Help asap Need answer now!

Answers

The Correct Answer is D 58
58. All the surface areas are 4 + 4 + 5 + 20 + 5 + 20 which equals 58

Katelyn went to the store and bought 2 shirts that were originally $12 each, but got a 15% discount for each shirt. If she has to pay 7% sales tax, how much did she spend total?

A) $24.83
B) $10.20
C) $21.83
D) $22.00

Answers

Answer:

c

Step-by-step explanation:

$21.83

hope this helps :))

Answer:

B but am not really sure

Step-by-step explanation:

What is the positive solution to this equation?

3x^2+16x=112

Answers

Answer:

This equation is in standard form: ax 1+bx+c=0. Substitute 9 for a, 16 for b, and −112 for c in the quadratic formula 2a−b±b2−4ac.x= 2×9−16± 16^2−4×9(−112)Square 16.x=2×9−16±256−4×9(−112) Multiply −4 times 9.x=2×9−16± 256−36(−112) Multiply −36 times −112.x=2×9−16±256+4032 Add 256 to 4032.x=2×9−16±4288 Take the square root of 4288.x=2×9−16±8+67 Multiply 2 times 9x=18−16±8=67

Step-by-step explanation:

hope this help if not let me know

1600, only if its evaluating the discriminant

PLS HELP (answer isn't 1384.74 lol)

Answers

Answer:

1385mm squared

Step-by-step explanation:

Area of Circle formula: A = pi r^2

You need to divide 42mm by 2 since that is a diameter.

*Half of the diameter is the radius*

42/2 = 21

Now, do 3.14 multiplied by 21 to the power of 2.

Formula: A = 3.14 x 21^2

Do 21^2 first.

That shall be 441

Now do 3.14 x 441

1,384.74mm - That is your exact answer.

The directions tell you to round it to the nearest whole number

THAT IS 1385mm squared

Tia is going to a school where tuition and books cost $11,000. She has a scholarship that pays 100% of tuition. She has a grant for $1,000 Does she have enough to pay for tuition and books?

Answers

Answer:

Unknown, not enough information.

How much do the books cost?

Yes Tia will have enough for tuition and books.

I need help please help me.

Answers

Answer:

I can only help you with the first on the answer is:

Step-by-step explanation:

7/8 * 3/4 = 21/32 which can't be simplified any further

PLS HELP IM TIMED
Ajit says the following steps can be used to find 0.48 of 7:

Step 1

Step 2

Step 3


Step 4


Change "of” to the multiplication symbol.

48 × 7 = 336

There is 1 decimal place in 7 and 3 decimal places in 0.48 for a total of 4 decimal places in the factors.

Move the decimal place in the product 4 places to the left to find the solution: 0.48 of 7 is 0.0336.




In which step did he make his first error?

Step 1
Step 2
Step 3
Step 4

Answers

Answer:

step one!

Step-by-step explanation:

I could be wrong, let me know!

I think it is step 1 because he changed 0.48 to 48

Do you think the three groups are very different or not?

Answers

Answer:they are very different

Step-by-step explanation:

They are too far apart

Help me please, and thank you

Answers

Answer:

3:4

Step-by-step explanation:

1/5 = 5/6. Is the answer (2) !!
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