Hexagon ABCDEF has has vertices A(-2,4), B(0,4), C(2,1), D(5,1), E(5,-2), F(-2,-2). Sketch the figure on the coordinate plane. What is the area of the hexagon?

Answers

Answer 1

A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The common length of the sides equals the radius of the circumscribed circle, which equals {\displaystyle {\tfrac {2}{\sqrt {3}}}} {\displaystyle {\tfrac {2}{\sqrt {3}}}} times the apothem (radius of the inscribed circle). All internal angles are 120 degrees. A regular hexagon has 6 rotational symmetries (rotational symmetry of order six) and 6 reflection symmetries (six lines of symmetry

Answer 2

Answer:

The area of the hexagon is 30 square units.

Sketch of figure on the coordinate plane below.

Step-by-step explanation:

Separate the hexagon into simpler shapes: a triangle, and two rectangles.

Find the area of the simpler figures. Count units to find the dimensions.

The triangle with vertices at (0, 4), (2, 1), and (0, 1):

A = 1 /2

(2)(3)

A = 3

The area of the triangle is 3 square units.

The rectangle with vertices at (0, 1), (5, 1), (5, −2), and (0, −2):

A = LW

A = 5 × 3

A = 15

The area of the rectangle is 15 square units.

The rectangle with vertices at (−2, 4), (0, 4), (0, −2), and (−2, −2):

A = LW

A = 6 × 2

A = 12

The area of the rectangle is 12 square units.

Find the area of the hexagon.

A = 3 + 15 + 12

A = 30

The area of the hexagon is 30 square units.

Related Questions

Can someone help me on 10-12?

Answers

If two lines have the same slope, they are parallel.
If the product of 2 slopes is -1, the lines are perpendicular.

10. The lines do not have the same slope, so they are not parallel.
3 * (-1) = -3. The product is not -1, so the lines are not perpendicular.
Answer: neither

11. 2/3 and -3/2 are not equal, so the lines are not parallel.
2/3 * (-3/2) = -6/6 = -1
The product of the slopes is -1, so the lines are perpendicular.
Answer: perpendicular

12.
Plot the points (2, 16) and (5, 40).
Draw a line though them.
Then you can use the slope formula to find the slope.

m = (y2 - y1)/(x2 - x1) = (40 - 16)/(5 - 2) = 24/3 = 8

A 1.5 lb package of seedless grapes costs $3.81. Round to the nearest
hundredth of a dollar. Find the unit price

Answers

A unit price of an object is simply the ratio of the total price of the object over the total mass, hence:

unit price = total price / total mass

unit price = $3.81 / 1.5 lb

unit price = $2.54 per pound

Answer:

$2.54

Final answer:

The unit price of the seedless grapes is calculated by dividing the total cost ($3.81) by the weight (1.5 lb), resulting in a unit price of $2.54 per pound.

Explanation:

To find the unit price of seedless grapes, you divide the total cost of the package by the weight of the package. If 1.5 lb of grapes costs $3.81, you would calculate the unit price by doing the following:

Divide $3.81 (total cost) by 1.5 lb (total weight).

The unit price is $2.54 per pound ($3.81 ÷ 1.5 lb = $2.54).

The unit price is helpful for comparing costs of similar products and making informed shopping decisions. Unit prices are displayed in stores to assist consumers with these comparisons.

mr.young has 30 times as many pencils as jack. the whole school has 200 times as many pencils as jack. if jack has 2 pencils, how many pencils does mr. young have?how many pencils does the whole school have?

Answers

Final answer:

Mr. Young has 60 pencils, and the whole school has 400 pencils, calculated by multiplying Jack's 2 pencils by 30 and 200 respectively.

Explanation:

Mr. Young has 30 times as many pencils as Jack. If Jack has 2 pencils, then to find out how many pencils Mr. Young has, we simply multiply Jack's number of pencils by 30:

Mr. Young's pencils = Jack's pencils × 30

Mr. Young's pencils = 2 × 30 = 60 pencils.

Similarly, the whole school has 200 times as many pencils as Jack. To find out how many pencils the whole school has, we multiply Jack's number of pencils by 200:

The whole school's pencils = Jack's pencils × 200

The whole school's pencils = 2 × 200 = 400 pencils.

What is the value of X?

A. 15
B. 30
C. 45
D. 60

Will mark best answer as Brainliest!!

Answers

The answer is 60 because a right triangle has 90 degrees
So 90-30 (the given angle) is 60 because 60+30 gives the required 90 degrees.

45. I believe..........................

Evaluate the expression 7x2y, when x = 4 and y = 2.

Answers

7*4*2*2 your answer is 112.

hope this helps!

The solution of the expression 7x2y is 112.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 7x2y and the values x = 4 and y = 2.

The expression will be solved as:-

E = 7x2y

E = ( 7 x 4 x 2 x 2)

E = 28 x 4

E = 112

Therefore, the solution will be 112.

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Gabriela buys a basket of coconuts on sale for $22 before tax. The sales tax is 12% What is the total price Gabriela pays for the basket of coconuts?

Answers

First you need to make a multiplier:
1-(12/100) = 0.78

Then you multiply the price by 1.12 to get the final answer;
22 * 0.78 = 17.16

This means it cost $17.16 after the 12% sales tax.

Hope this helps! :)

on the first play the football team loss 6 yards. on the second play the team lost 5 yards. what was their total?

Answers

-11 or the Team lost 11 yards

their their total was 30 yards.

Write an equation that represents the following problem. There are two cell phone plans available from Cell Phones R Us company. Plan A charges $35 a month plus $0.05 for every text message. Plan B charges $50 a month plus $0.01 for every text message. How many text messages do you need to send in order for Plan A to cost the same as Plan B?

35 + 5m = 50 + m

50 + 0.05m = 35 + 0.01m

35 + 0.05m = 50 + 0.01m

35 + m = 50 + 5m

Answers

if every .01=m so we have 35+5m=50+m

Answer:

c 35+0.05m=50+0.01

Step-by-step explanation:

because the person who commented said

At a dog park, there are 10 black dogs, 5 brown dogs, 2 white dogs, and 12 multi-colored dogs. For every 1 brown dog, there are 2 _____ dogs. A. Black B. White C. Multi-colored

Answers

A: black dogs
For every one brown dog there are 2 black dogs so you add

Black because if there are 10 black dogs and 5 brown dogs, 1 brown dog is 2 black dogs because 5 * 2 = 10

Which Set of numbers are ordered from least to greatest?

7, |-4|, -7, 0, -|3|, 3
-|3|, -7, 0, 3, 7, |-4|
-7, -|3|, 0, 3, |-4|, 7
7, |-4|,3,0, -|3|, -7

Answers

answer
least to greatest
-7, -|3|, 0, 3, |-4|, 7

what part of the engine is shown at point "A" in the above figure

Answers

A. Four Bolt Main.

It has four bolts and matches the same example of what a 4 Bolt Block is on a vehicle.

A baseball player got 102 hits in the last 300 times at bat. Explain how you would find the percent of times the baseball player got a hit out of the number of times at bat.

Answers

Answer:

Sample Response: Divide the number of hits, 102, by the times at bat, 300. Then move the decimal 2 places to the right and add the percent sign to get 34%.

Step-by-step explanation:

Sample Response: Divide the number of hits, 102, by the times at bat, 300. Then move the decimal 2 places to the right and add the percent sign to get 34%.

The percent of times the baseball player got a hit out of the number of times at bat will be 34%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

A baseball player got 102 hits in the last 300 times at bat.

Then the percent of times the baseball player got a hit out of the number of times at bat will be

P = (102 / 300) x 100

P = 0.34 x 100

P = 34%

The percent of times the baseball player got a hit out of the number of times at bat will be 34%.

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carlie spent $42 at the salon. Her mother loaned her the money carlie will pay her mother 15% of $42 each week until the loan is repaid. About how much will Carlie pay each week?

Answers

$42÷.15=2.80. .15 is the decimal of 15%. Hope this helps. She will pay $2.80 a week for 15 weeks.

She would have to end up paying 2.50

7/12 × 3/7 × 1/2 = ?

Please include steps!!!!!

Answers

1/8 sorry for no steps

Write out this product as follows:

7 * 3 * 1
---------------
12 * 7 * 2

Next, cancel out the 7s. This leaves us with

3
-------- , which in turn reduces to 1/8 (answer).
24

Evaluate 6j+23+kl−3, when j=3, k=7, and l=33. Enter your answer in the box.

Answers

6j+23+kl−3
= 6(3) + 23+ (7)(33) −3
= 18 + 23 + 231 - 3
= 269

it is 19. i just took the test.

davids math grades are 85 49 67 and 83 on 4 tests. what grade must he earn on the next test to have a mean of 75

Answers

He must earn a 91
85+49+67+83+91=375
375/5=75

Zuma bought a snowboard with a regular price of $295. It was on sale at a 25% discount. There was an 8% tax on sale price. How much did Zuma spend to buy the snowboard?

Answers

Final answer:

To calculate the total amount Zuma spent on a snowboard, first determine the sale price by subtracting the discount from the original price, then add the sales tax to the sale price. Zuma spent a total of $238.95 on the snowboard after a 25% discount and an additional 8% sales tax.

Explanation:

To find out how much Zuma spent to buy the snowboard, we have to first calculate the discounted price of the snowboard and then add the sales tax to it.

Step 1: Calculate the discount amount by multiplying the original price by the discount rate in decimal form.

Discount = Original Price × Discount Rate

Discount = $295 × 0.25 = $73.75

Step 2: To find the sale price, subtract the discount amount from the original price.

Sale Price = Original Price - Discount

Sale Price = $295 - $73.75 = $221.25

Step 3: Calculate the sales tax by multiplying the sale price by the tax rate in decimal form.

Sales Tax = Sale Price × Tax Rate

Sales Tax = $221.25 × 0.08 = $17.70

Step 4: To find the total amount spent, add the sales tax to the sale price.

Total Spent = Sale Price + Sales Tax

Total Spent = $221.25 + $17.70 = $238.95

Zuma spent $238.95 to buy the snowboard.

How can I use patterns to describe relationships

Answers

add it and subtract it by a certain number

sue has 7/8 of her book left to read. If she reads another 2/7 of the book, how much of the book will she have left?

Answers

First you have to make the fractions equal.
That gives you 49/56 and 16/56.
Then you add them together and get 65/56.
So I guess she finishes the book. (not completly sure, werid)
Hope this helps

Let B = how much of the book she has left to read.

B = 7/8 - 2/7

B = (49 - 16)/56

B = 33/56

Sue has another 33/56 left of the book to read.

Hexagon FUTBOL has coordinates F(3,6), U(5,2), T(2,-3), B(-3,-2), O(-5,1) and L(-2,5), and it is dilated by scale factor of five centered at origin.
What are the coordinates of F'U'T'B'O'L'?

Answers

Answer:

[tex]F'(15,\ 30),\ U'(25,\ 10),\ T'(10,\ -15),\ B'(-15,\ -10),\ O'(-25,\ 5),\ L'(-10,\ 25)[/tex]

Step-by-step explanation:

We known that ,

When a figure (with coordinate (x,y)) gets dilated by a scale factor k from origin (0,0) , then the coordinate of the new image will become :-

[tex](x,y)\to(kx,ky)[/tex]

Given : Hexagon FUTBOL has coordinates F(3,6), U(5,2), T(2,-3), B(-3,-2), O(-5,1) and L(-2,5), and it is dilated by scale factor of 5 centered at origin.

Then, the coordinates of F'U'T'B'O'L' will be :-

[tex]F(3,6)\toF'(5(3),\ 5(6))=F'(15,\ 30)[/tex]

[tex]U(5,2)\toU'(5(5),\ 5(2))=U'(25,\ 10)[/tex]

[tex]T(2,-3)\toT'(5(2),\ 5(-3))=T'(10,\ -15)[/tex]

[tex]B(-3,-2)\toB'(5(-3),\ 5(-2))=B'(-15,\ -10)[/tex]

[tex]O(-5,1) \toO'(5(-5),\ 5(1))=O'(-25,\ 5)[/tex]

[tex]L(-2,5) \toL'(5(-2),\ 5(5))=L'(-10,\ 25)[/tex]

Hence, the coordinates of F'U'T'B'O'L' will be :-

[tex]F'(15,\ 30),\ U'(25,\ 10),\ T'(10,\ -15),\ B'(-15,\ -10),\ O'(-25,\ 5),\ L'(-10,\ 25)[/tex]

Prime factor of 220 and the answer in index form

Answers

The prime factors of the given number 220 in index form are [tex]2^2 \times 5 \times 11[/tex]

The prime factors of a number are the factors that have only two factors, 1 and the number itself.

Index form is defined as that number represented as an exponential expression or as a single number raised to another number.

An algebraic expression or a number that divides another number without leaving any remainder and the quotient is a whole number is called a factor.

The prime factors of 220 in ascending order are,

[tex]220 = 2 \times 2 \times \ 5 \times 11[/tex]

The prime factors of 220 in index form can be written as:

[tex]220 = 2^2 \times 5 \times 11[/tex]

Thus, the prime factor of 220 in the index form is [tex]2^2 \times 5 \times 11[/tex].

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Which of the following expressions is equal to 5 - 2m?

7 - 2(m + 1)
7 - (2m - 5)
7 - 2(m - 2)

Answers

Alright, I'm pretty sure I can help.

Let's look at the first answer choice.

7 - 2 (m + 1)

Distribute -2 and add the remaining numbers to get the total for that answer choice.

7 - 2m - 2

Simplify. You get 5 - 2m.

Looks like we found the answer on the first choice!

The Final Answer is 7 - 2 (m + 1)

Your answer would be the first one 7 - 2(m+1)

HELP!

Simplify the following expression: (−1)(−7)(4) (1 point)

12

28

−12

−28

Answers

-1 times -7 times 4 is 28

Audrey read that the area of a new shopping mall is 57,600square feet. What are the greatest and least possible actual areas of the mall if 58,000 square feet is an estimate to the nearest thousand?

Answers

Thousand is the fourth place from the left. The number is rounded up if the number before it is 5 or greater and rounded down if the number before it is 4 or less.

The greatest number that would be the value of the actual area is,
58449

The least number that the actual area could take is,
57500

ANSWER: 58449 and 57500

2H2O → 2H2 + O2

Describe the mass of the reactants and products given the balanced chemical reaction.

A) The mass of the products is
2
3
that of the reactants.

B) The mass of the reactants equals the mass of the products.

C) The mass of the reactants is less than the mass of the products.

D) The mass of the reactants is greater than the mass of the products.

Answers

B) The mass of the reactants equals the mass of the products

Answer:

Option (B) is correct.

The mass of the reactants equals the mass of the products.

Step-by-step explanation:

According to law of conservation of mass :

In a balanced chemical equation, the mass of reactants is always equal to the mass of products.

Here, Water [tex]2H_{2}O[/tex] is the reactant which has 4 units of Hydrogen and 2 units of oxygen.

and [tex]2H_2+O_2[/tex] are products which also has 4 units 4 units of Hydrogen and 2 units of oxygen.

Thus, The mass of the reactants equals the mass of the products.

Thus, option (B) is correct.

A television weighs 60 kilograms. How many grams does it weigh?

Answers

60 Kilograms equal 60000 Grams

Here is your answer:

60kl=60000grams

Just remember that every kl is 1000 grams.

Your answer is
=60,000

The function f(x)=5x+4f(x)=5x+4 models the height of a tree, where x represents the years since the tree was planted for year 3 through year 10. What is the practical range of the function?
a.)all real numbers between 3 and 10 inclusive
b.)all integers
c.)all real numbers between 19 and 54 inclusive
d.)integers from 3 to 10 inclusive

Answers

"all real numbers between 3 and 10 inclusive" could not be the answer, because these are x-values (values of the independent variable).

"all real numbers between 19 and 54 inclusive" is the range. Why? Because in year 3, f(3) = height of tree = 5(3) + 4 = 19 feet.

In year 10, f(10) = 5(10) + 4 = 54 feet.

Answer:

The answer is all real numbers between 19 and 54 inclusive

Good Luck!

Barbara has $70.00 in her pocket and a $20 gift card. Which purchase will she be able to make without having to use her credit card?

Answers

six puzzles for $11.99 each and a board game for $15.89

Barbara will be able to make any purchase that costs less than or equal to $90.00 without using her credit card.

Barbara has $70.00 in her pocket and a $20 gift card, so she has a total of $70.00 + $20.00 = $90.00 to spend.

Which purchase will she be able to make without having to use her credit card depends on the prices of the items she is considering buying. If the price of an item is less than or equal to $90.00, then Barbara will be able to purchase it without using her credit card.

Here are some examples of purchases that Barbara will be able to make without using her credit card:

A $60.00 shirt and a $30.00 pair of pants

A $75.00 meal at a restaurant

A $90.00 pair of shoes

Here are some examples of purchases that Barbara will not be able to make without using her credit card:

A $100.00 TV

A $200.00 laptop

A $300.00 phone

In general, Barbara will be able to make any purchase that costs less than or equal to $90.00 without using her credit card.

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A flower bed is in the shape of triangle with one side twice the length of the shortest side, and the third side is 26 feet more than the length of the shortest side. Find the dimensions if the perimeter is 178 feet.

Answers

Represent the lengths of the three sides. They are x, 2x and x+26.

Adding thse together gives us the perimeter, P:

P = x + 2x + x + 26 = 178 feet

Then 4x + 26 = 178; 4x = 152 and x = 38 feet

The side lengths are 38, 76 and 64 feet.

Check by adding these together. The sum must be 178 feet.

Mandy wants to put some lace trim around the outside of a round tablecloth she expanded the original tablecloth had a radius of 2 feet and a circumference of 12.56 Ft if the tablecloth now has a radius of 3 ft is 15 ft of lace enough explain

Answers

To determine if the amount of lace is enough to be placed around the tablecloth, we determine the circumference of the tablecloth through the equation,
C = 2πr

where C is circumference,
r is the radius

Substituting the known values,
C = 2π(3 ft) = 18.85 ft

Hence, the 15 ft lace will not be enough for the tablecloth.

Answer:

45 feet of lace is not enough, because the tablecloth would need 50.24 feet of lace to go around the outside.

Step-by-step explanation:

Solve

You know that

= π for all circles.

2 × r

3.14

Write a proportion using 2 × r for d.

2 × 8

3.14

Substitute the given values.

3.14

Multiply.

3.14 × 16

1 × 16

Since 1 times 16 is 16, multiply 3.14 by 16 to find the value of C.

50.24

C = 50.24

The circumference of the expanded tablecloth is 50.24 feet.

45 feet of lace is not enough, because the tablecloth would need 50.24 feet of lace to go around the outside.

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