The radius of a regular hexagon is 8 cm.
Find the apothem, perimeter and area
of the regular hexagon.

The Radius Of A Regular Hexagon Is 8 Cm.Find The Apothem, Perimeter And Areaof The Regular Hexagon.

Answers

Answer 1

the measure of the side = of the measure of radius because the regular hexagon have 6 sides = at each others

meaning the measure the perimeter is = 6 times the radius

and the radius = 8cm

so perimeter = 6× 8 cm

perimeter = 48cm

since the apothem is the segment perpendicular to a side thought the center and those segment are not promotional we have the notation as

r square root of 3 divided by 2

r = radius = 8 cm

by apply the formula

8square root 3 divided by 2

so the area will be

since the perimeter is 48cm

and the apothem is 8 square root of 3 divided 2

so the area will be 48 times 8 square root of 3 divided by 2 = 384 square of 3 divided by 2 .

hope that helps.


Related Questions

Elizabeth has a lot of jewelry. She has four times as many earrings as watches and twice as many necklaces as watches.
- If Elizabeth has 42 pieces of jewelry, how many necklaces, earrings, and watches does she have?

Answers

Answer:

6 watches, 12 necklaces, and 24 earrings.

Step-by-step explanation:

turn the number of watches into x

42 = 4x + 2x + x

42 = 7x

x = 6

she has 6 watches, 12 necklaces, and 24 earrings

(-5x^6+7x+1)-(8x^2+x-10)

Algebra 1 subtracting polynomials please help

Answers

Answer:

-5x^6-8x^2+6x+11

Step-by-step explanation:

(-5x^6+7x+1)-(8x^2+x-10)

Remove parentheses

-5x^6+7x+1-(8x^2+x-10)

-(8x^2+x-10)=-8x^2-x+10

-5x^6+7x+1-8x^2-x+10

Simplify

-5x^6-8x^2+6x+11

1. What type of circle would you use when graphing x≥ 5
A. Open
B. Closed
C. A triangle
D. A square

2.Solve the following inequality x−3>7
A. x>10
B. x<10
C. x>4
D. x<4

Answers

1. Open
2. D
Hope this help you

Answer:

What type of circle would you use when graphing x≥5: I do not know sorry :(

When graphing x≥5 on a number line, you would point your arrow which way?

:To the right

Solve the following inequality

x−3>7: x>10

Step-by-step explanation:

I did the math :)

Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5). On a coordinate plane, an exponential function decreases from quadrant 3 to quadrant 4 and approaches y = 0 in quadrant 3. It crosses the y-axis at (0, negative 2) and goes through (1, negative 5). On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in the first quadrant. It goes through the y-axis at (0, 2) and goes through (negative 1, 5). On a coordinate plane, an exponential function increases from quadrant 3 to quadrant 4 and approaches y = 0. It goes through (negative 1, negative 5) and crosses the y-axis at (0, negative 2).

Answers

The graph of g(x) is (a) an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).

The function f(x) is given as:

[tex]f(x) = 2(0.4)^x[/tex]

The rule of reflection over the y-axis is:

[tex](x,y) \to (-x,y)[/tex]

This means that:

[tex]g(x) =f(-x)[/tex]

Substitute -x for x in f(x)

[tex]f(-x) = 2(0.4)^{-x}[/tex]

Substitute the expression for f(-x) in the above equation [tex]g(x) =f(-x)[/tex]

[tex]g(x) = 2(0.4)^{-x}[/tex]

Hence, the graph of g(x) is graph (a)

Read more about function transformation at:

https://brainly.com/question/12619643

Henry received 7/8 of the vote in the election for captain of the baseball team. What percent of the vote did he receive?

Answers

Answer:87.5%

Step-by-step explanation:

Given

Henry received [tex]\frac{7}{8}[/tex] of the votes in the election

i.e. 7 parts of votes are in favor of Henry out of 8

In terms of percentage, it is  given by

[tex]\Rightarrow \dfrac{7}{8}\times 100=87.5\%[/tex]

Lyla is planning on riding his bike no more than 65 miles during the week. She has already ridden 17 miles. Write and solve an inequality to find how many more miles she can ride. Then interpret the solution.

Answers

Answer:

17 + m ≤ 65

Step-by-step explanation:

Maximum distance = 65 miles

Number of miles already ridden = 17

Expression to represent how many more miles, 'm' she can ride ;

Number of miles already ridden + m ≤ maximum distance

17 + m ≤ 65

m ≤ 65 - 17

m ≤ 48

The amount of additional miles Lyla can ride is at most 48 miles

Naomi is reading a book that has 420 pages she reads 35 pages each day how many days will naomi need to finish this book

Answers

Answer:

12 days

Step-by-step explanation:

420/35 to find amount of days to finish book

420/35 = 12

Please help.
Is algebra.

Answers

Answer:

Step-by-step explanation:

Judy has 100 pencils stored in boxes. If there are 20 boxes, how many pencils must go in each box?

Answers

Answer:

5 pencils per box

Step-by-step explanation:

A fast-food restaurant must apply an 8.5% tax on every sale it makes. How much tax must it charge a customer who purchases a total of $18.50 in food?

Answers

Answer: $1.57

Step-by-Step Explanation:

Study.com says: “the formula for calculating the sales tax on a good or service is: selling price x sales tax rate, and when calculating the total cost of a purchase, the formula is: total sale amount = selling price + sales tax,” (study.com, How to Calculate Sales Tax).

So, to find the amount of money they are charging for taxes, we need to use the formula: $18.50 x 8.5%. The selling price is the total sum of the purchase, and the sales tax rate is the percentage number that is apply to every sale as taxes.

Here’s how we solve:

1. To multiply, we first need to change our percentage into a decimal by dividing it by 100. —> 8.5/100 = 0.085

2. Multiply the purchase times the sales tax rate, which is converted into a decimal. —> 18.50 x 0.085 = 1.5725

3. Because money only uses the tenths and the hundredths places, we round up. —> 1.5725 ~ 1.573 ~ 1.57

4. Our answer for the tax amount charged in money is $1.57

Hope this helps!

During the 2 9-weeks reporting, a student's grade increased from 80 to 96. By what percentage did the grade increase?
32%
20%
16%
12%

Answers

The students Grade increased by 20% because 10% of 80 is 8 and is you take 20% it’s double of 10% so it’s going to be a 16 point increase

Activity 2: Identify Me

Direction: Determine whether each pair of triangles is congruent by SSS, SAS, ASAor AAS. If it is not possible to prove that they are congruent, wnte NOT POSSIBLE

Answers

Step-by-step explanation:

SSS axiomSAS axiomASA axiomASA axiomSAS axiomSSS axiom

HELP ASAP!!? HELP ME PLEASE!! 10 POINTS

Answers

Answer:

D)  3x²y

Step-by-step explanation:

The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.

Answers

Step-by-step explanation:

A rectangular prism is nothing but a cuboid. Let the length , width and height of the  rectangular prism be l, w and h.

We know that volume of a cuboid V = l×w×h

So,  l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

I need the answer to question 3 please help me

Answers

Answer:

[tex]x = 26[/tex]

Step-by-step explanation:

Supplementary Angles add up to 180.

Angle C and Angle D add up to 180.

[tex]128 + 2x = 180[/tex]

[tex]2x = 52[/tex]

[tex]x = 26[/tex]

1. Find the surface area of a geometric box, whose length, breadth and height are respectively
18 cm, 8 cm and 1.8 cm.​

Answers

Answer:

259.2

Step-by-step explanation:

multiply 18 x 8 x 1.8 to get 259.2cm

a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour

Answers

Answer:

4 miles

Step-by-step explanation:

Answer:

4.5 miles

Step-by-step explanation:

18 miles 3 hours = 6 miles/hour

6 x (3/4) = 4.5 miles

Please please help help please please ASAP

Answers

Answer:

false

Step-by-step explanation:

The horizontal axis is the x axis.

I don't really know what your school wants in the blank but here's what I think it is:

The horizontal axis on the coordinate grid is the x axis.

Hope this helps! let me know if its right!

HELP I don’t understand

Answers

Answer:

144, 36

Step-by-step explanation:

you know that if you add the two angles it will equal 180 degrees. so add the two angles and make them equal to 180 and solve for x.

(4x+8) + (x+2)=180

5x+10=180

5x=180-10

5x=170

x=34

now replace x in each equation:

4(34)+8=144

34+2=36

PLSS HELPP

Find the trigonometric ratio as a fraction Tan N =
Find the trigonometric ratio as a fraction Tan L =

Answers

I think the answer for #1 is 3/4 and for #2 is 3/5.

Answer:

Tan N = 4 / 3

Tan L = 3 / 4

Step-by-step explanation:

By Pythagoras theorem,

(LN)² = (MN)² + (LM)²

10² = 6² + (LM)²

100 = 36 + (LM)²

(LM)² = 100 - 36

(LM)² = 64

LM = 8

Tan N

= Opposite / Adjacent

= LM / MN

= 8 / 6

= 4 / 3

Tan L

= 1 / Tan N

= 1 / ( 4 / 3 )

= 3 / 4

What is the factored form of the polynomial 3x-3y

Answers

Answer:

Step-by-step explanation:

3x - 3y = 3(x-y)

Will mark brainliest- please help! find x

Answers

................................. x is something idl

Answer:

15

Step-by-step explanation:

Assuming x is the length DB

Δ DSR and Δ DBC are similar, so ratios of corresponding sides are equal, that is

[tex]\frac{DB}{DS}[/tex] = [tex]\frac{DC}{DR}[/tex] , substitute values

[tex]\frac{DB}{10}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )

8 DB = 120 ( divide both sides by 8 )

DB = 15

That is x = DB = 15

Can someone please help meee?

Answers

Answer:

c.

Step-by-step explanation:

The person at (0, 1) needs a bottled
water. He moved to the right on a slope
of -4. Where can you find him to give
him the water he ordered?

Answers

Answer:

(0,-4)

Step-by-step explanation:

(0,-3)

1-4= -3
So it’s (0,-3)

ILL GIVE BRAINLIEST PLEASE HELP ASAP

Answers

Answer:

4.4

Step-by-step explanation:

(-7/10 + 0.15) ÷ (-0.125)

(-70/100 + 15/100) ÷ (-0.125)

-55/100/-0.125

-.55/-0.125

4.4

Find the constant of proportionality.

Use the constant of proportionality to write a unit rate for the data in the table.

Write an equation to represent the relationship between time, t, and distance, d. i will give brainliest if u help

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

constant of proportion = [tex]\frac{d}{t}[/tex] ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant = [tex]\frac{225}{5}[/tex] = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

Answer:

(a)

constant of proportion =  ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant =  = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

need help thanks! :D

Answers

Answer:

2nd

Step-by-step explanation:

The rule for rotating 270 degrees
(x,y)-> (y,-x)
(4,-5)->(-5,-4)

Help! Thanks if you do! ✨✨

Answers

Answer:

I would say either A or C

Step-by-step explanation:

I think the answer is letter A

"hypotenuse" of the triangle: if the height is 24 feet and base is 36 feet.

Answers

Answer:

43.27

Step-by-step explanation:

(24×24)+(36×36)= 1872

√1872=43.27

Using the Pythagorean theorem:

Hypotenuse = sqrt( 24^2 + 36^2)

Hypotenuse = sqrt(576 + 1296)

Hypotenuse = sqrt(1872)

Hypotenuse = 2sqtt(469) or 43.266

Debra and Alexandria can finish a plowing job in two hours if they work together. Debra can do the job in 7 hours by herself. How long would it take Alexandria to finish the same job alone?

Answers

Answer:

2 hours 48 minutes

Step-by-step explanation:

Debra=1 plowing job / 7 hours

Debra+Alexandra=1 plowing job / 2 hours

1/2-1/7

=7/14-2/14

=5/14

=1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)

14/5 hour=2 hours 48 minutes (hope hits helps)

Alexandria to finish the same job alone in, 2 hours 48 minutes

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Debra and Alexandria can finish a plowing job in two hours if they work together.

And, Debra can do the job in 7 hours by herself.

Hence, We get;

For Debra = 1 plowing job / 7 hours

Debra + Alexandra = 1 plowing job / 2 hours

Hence, Time to take Alexandria to finish the same job alone is,

= 1/2 - 1/7

= 7/14 - 2/14

= 5/14

= 1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)

= 2 hours 48 minutes

Thus, Alexandria to finish the same job alone in, 2 hours 48 minutes

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ3

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