The area of the regular hexagon is 169. 74 ft2. A regular hexagon has an apothem with length 7 feet and an area of 169. 74 feet squared. What is the perimeter, rounded to the nearest tenth? 24. 2 ft 28. 3 ft 48. 5 ft 56. 8 ft.

Answers

Answer 1

The perimeter of the hexagon is the sum of its side lengths

The perimeter of the hexagon is 48.5 ft

The given parameters are:

[tex]\mathbf{Area = 169.74}[/tex] --- the area of the hexagon

[tex]\mathbf{a = 7}[/tex] -- the apothem

Let the perimeter of the hexagon be p.

So, the area is calculated as:

[tex]\mathbf{Area = \frac 12 pa}[/tex]

Substitute values for Area and (a)

[tex]\mathbf{169.74 = \frac 12 \times p \times 7}[/tex]

Multiply both sides by 2

[tex]\mathbf{339.48= p \times 7}[/tex]

Divide both sides by 7

[tex]\mathbf{48.5= p }[/tex]

Rewrite as:

[tex]\mathbf{p = 48.5}[/tex]

Hence, the perimeter of the hexagon is 48.5 ft

Read more about perimeter and areas at:

https://brainly.com/question/1969956


Related Questions

How to graph an equation.

Answers

Answer:

Below

Step-by-step explanation:

To graph an equation, we must have a y-intercept and a slope. Now, our equation is y = mx + b

We just replace the slope with 'm' and the y-intercept with 'b'. Let's say that our slope is 4 and y-intercept is 5. Then our equation will be y = 4x + 5.

Hoped this helped.

At a charity fund-raiser, adult tickets were sold for $7 each and children's tickets were sold for $2 each. Write an algebraic expression for the total amount of
money raised from the sale of tickets. How much money was raised if the fundraiser fsold 246 adult tickets and 380 children's tickets?
Let a = the number of adult tickets and let c = the number of child tickets. Then, an algebraic expression for the total money raised from the sale of tickets is

Answers

Answer:

x is amount of money

c + a = 646

2c + 7a = x

2(380) + 7(246) = 2486

x = $2486

The perimeter of a triangle is 7a-11b . If two of its sides are 2a+b and a-9b, what is the third side?

Answers

Answer:

4a plus or minus 1b

Step-by-step explanation:

Round 21.897 to the nearest hundredth.

Answers

Answer:

21.900 - 21.9

Step-by-step explanation:

if your rounding it its 21.900 or 21.9

Can someone please help I will give you 30 points and brainliest if the answer is right also no links please

Answers

Answer:

HL.

Step-by-step explanation:

Triangles  FEH and FGH are congruent

They are both right angles and the  hypotenuse and  a leg ( the side FH) are both equal in length.

 Find the perimeter. Simplify the answer

Answers

Answer:

20v + 6

Step-by-step explanation:

Perimeter = v + 10 + v + 10 + 9v - 7 + 9v - 7

Perimeter = 2v + 18v + 20 - 14

Perimeter = 20v + 6

-Chetan K

Answer:

Perimeter = 9v - 7 + 9v - 7 + v + 10 + v + 10

= 20v + 6...ans

Step-by-step explanation:

Hope i lt Helps you!!

6-3b-6= -15
i need help asappl

Answers

Hello there!

6-3b-6=-15

-3b=15+6-6

-3b=15

b=-3

Hope it helps you!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

b=5

Step-by-step explanation:

6-3b-6=-15

     -3b=-15

      3b=15

        b=15÷3

          =5

which number sentence can be used to find 42 divied by 7

Answers

Answer: isn't it 42÷7=6?

Answer:

42 / 7 = 6

Step-by-step explanation:

Just use a multiplication table.

HELPPPPPPPPPPPPPPPPPP MEEEEEEEE

Answers

Answer:D

Step-by-step explanation:

The equation is y=mx+b. Here the slope is 1/5 and b is 5

Answer:

D

Step-by-step explanation:

Y intercept is +5

Slope is going up one and over five, so 1/5.

y=1/5x+5

simplify this addition 2m+(-2m)+4m​

Answers

[tex]\\ \sf\longmapsto 2m+(-2m)+4m[/tex]

[tex]\\ \sf\longmapsto 2m-2m+4m[/tex]

[tex]\\ \sf\longmapsto (2-2)m+4m[/tex]

[tex]\\ \sf\longmapsto 0+4m[/tex]

[tex]\\ \sf\longmapsto 4m[/tex]

Answer:

4m

Step-by-step explanation:

2m+(-2m)+4m = 2m-2m+4m

                       = 4m

Hope it helps!!

Could you please help me?!

Answers

Answer:

Step-by-step explanation:

Facts to know :

-diagonals of rhombus are angle bisector so angle A is double 28

∡A = 28*2 = 56°

-opposite angles in a rhombus are congruent so angle A and angle C have the same measure

∡C = 56°

-the sum of angles in a rhombus is 360°

360 - 2*56 = 360-112 = 248

248 /2 = 124

∡B = ∡D = 124°

In the figure, m<2=64. What is the measure of <1?

Answers

Answer:

b

Step-by-step explanation:

I had that question before

These are already solved but can someone explain how we got them, steps please! I really need it..

Answers

Answer:

1A,) 5x 2 and 3x are unlike terms and 9x 3 and 2x 2 are also unlike term

* so you have to put the like terms together to solve the equation

*then you say 9x 3 first because it is the biggest number (I think)

* then you put 5x 2 and 2x 2 together and 3x and x together too

* then you will get : 9x 3+ (5x 2 + 2x 2) + (3x -x)

:9x 3 + 7x 2 +2x

Note:

in algebra 3x -x is like saying 3-1 aka x is seen as 1 but the one is invisible

haha

and unlike terms are terms that do not have the same variables or powers while like terms are terms that have the same variables or powers

Amanda is 15 years old. She has two sisters, Britney, who is 12 years old, and Caitlin, who is the youngest. Amanda’s age is equal to 3 times the difference of Britney’s age and Caitlin’s age. How old is Caitlin? A. 3 years old B. 5 years old C. 7 years old D. 12 years old

Answers

Answer:

c. 7

Step-by-step explanation:

Amanda is 15. 15 is 3 times the age difference so you know the age difference is 5. Britney is 12 so subtract 5 and thats 7.

Answer:

C. 7 Years Old

Step-by-step explanation:

Did the quiz and got 100%

Use algebra to show that, for this machine, if x is a a-1
Help me please thank you 20 pts

Answers

Answer:

[tex]x = a - 1[/tex]

Step-by-step explanation:

from what you told me you put it in a formula

so I says it in a algebraic format

On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, negative 2), and point S is at (negative 3, 2). In the diagram, SR = 4 StartRoot 2 EndRoot and QR = StartRoot 10 EndRoot. What is the perimeter of parallelogram PQRS?

Answers

Answer:

B

Step-by-step explanation:

jus belive me

The perimeter of parallelogram PQRS will be 8√2 + 2√10 units.

What is a parallelogram?

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

On a coordinate plane, parallelogram PQRS is shown.

Point P is at (-2, 5), point Q is at (2, 1), point R is at (1, -2), and point S is at (-3, 2).

In the diagram, SR = 4√2 and QR = √10.

We know SR = PQ and RQ = SP

Then the perimeter of the parallelogram is the sum of all sides.

P = PQ + QR + RS + SP

P = 4√2 + √10 + 4√2 + √10

P = 8√2 + 2√10

Then the perimeter of parallelogram PQRS will be 8√2 + 2√10 units.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

#SPJ6

what are the values of the variables

Answers

Answer:

21

Step-by-step explanation:

we know that according to the isosceles triangle theorem, that the angles of the triangle are 90, 2x+3, 2x+3

from the triangle angle sum theorem, we know that 4x+6 = 90

solving, we get 4x=84, x=21

Answer:

isosceles + a right angle, so both angles at the bottom are the same and equal to (2x+3).

so we have 180 degrees = 90 + (2x+3) + (2x+3)

so x = 21

In an orchestra, the ratio of trombones to violas is 1 to 3. There are 9 violas. How many trombones are in the orchestra?

Answers

Answer:

3

Step-by-step explanation:

since the ratio is one to 3 there is one trombone for every 3 violas. you can find the answer by doing 9/3=3. so if there are 9 violas there are 3 trombones

The tip of a 5ft ladder plank is resting on a man's head,the next end is on level ground 3.5 ft away from the man. Determine the height of the man to the nearest whole number.

Answers

Answer:

4 ft

Step-by-step explanation:

This is a right triangle problem

the hypotenuse is 5

Therefor

a^2 + 3.5^2 = 5^2

a^2 = 5^2 - 3.5^2

a^2 = 25 - 12.25

a^2 = 12.75

a = 3.5707142143

to the nearest whole number.

4 ft (that's a very short man)

what equations are equivalent to 60% of 25

Answers

Step-by-step explanation:

Since,

[tex]60\%25 = 15[/tex]

Another equation that equals 15 is

[tex]25 \times 0.6 = 15[/tex]

Do all direct proportional graphs need to start from the origin?

Answers

Answer:

Direct proportional graphs do not need to start from the origin.

Step-by-step explanation:

Direct proportional graphs do not need to start from the origin. However, all direct proportional graphs must go through the origin.

Regardless of the value of the constant of proportionality, k, the graph of the lines all go through the point of origin, (0, 0).  

As a proof, the attached screenshot shows the graph of three equations of direct variations.  The graphed direct variation equations, y = 2x, y = -2x, and y = ¼x all go through the point of origin.

Will the value of each power will be + or - ?
4. (-64
5. (-3)?

Plzzz help

Answers

Answer:

4. Positive (+)

5. Negative (-)

Step-by-step explanation:

When the exponent is even, the value will be positive (+). If the exponent it's odd, the value will be negative (-). This only applies when the number in the parenthesis is a negative number.

4) Solution:

→ (-6)⁴

→ -6 × -6 × -6 × -6

→ +1296

Ans: Positive

5) Solution:

→ (-3)⁷

→ -3 × -3 × -3 × -3 × -3 × -3 × -3

→ -2187

Ans: Negative

Which of the following is the additive inverse of 4/31 ?

A. 4/31
B. - 4/31
C. 31/4
D. - 31/4

( Thanks In Advance )

Answers

Answer:

c 31b4

Step-by-step explanation:

Solve for s.



s
4
− 2
= 2


s =

Answers

Answer:

is 2

Step-by-step explanation:

is 2 why yes

GEOMETRY QUESTION W PICTURE

Answers

Answer:

R

Step-by-step explanation:

E is congruent to R because of angle stuff

Given that f ( x ) = 8 x + 5 f ( x ) = 8 x + 5 and g ( x ) = 3 − x 2 g ( x ) = 3 - x 2 , calculate f(g(0))

Answers

Answer:

29

Step-by-step explanation:

g(0)=3-2(0)

     = 3

f(3) = 8(3)+5

f(3) = 29

It costs $22 to enter an amusement park and $0.50 to ride a ride. You have $23. Write an equation that represents the number r of rides you can ride.

Answers

Answer:

21.50 + 0.25r = 22.25

Step-by-step explanation:

Thats ur equationnn

Nell has a piggy bank full of dimes and nickels. She empties the bank and counts the coins. She counts 30
coins in all, with a total value of $2.90. Nell says she has 14 dimes and 16 nickels.
(a) Write a system of linear equations to represent the number of coins that Nell had in her piggy bank
and the total value of the coins.
(b) Determine whether Nell could have counted the number of dimes and nickels correctly. Show all your
work to prove whether she counted the coins correctly.

Answers

[a] A dime is worth 10 cents (0.10 dollars) and a nickel is worth 5 cents (0.05 dollars). If there are 30 coins in all, we can set up a linear equation in standard form to look like this:

    30 - n = d

Since the total is 2.9, we can do the following:

    { 30 - n = d

    { .05n + .10d = 2.90

And our system is in bold

(where n is nickels and d is dimes, you could also use x and y if you wish)

[b] She could have counted the number of dimes and nickles correctly, but she did not. The number of nickles is 2 with there being 28 dimes.

Now, we will solve:

.05n + .10(30 - n) = 2.90

.05n + 3 - .1n = 2.9

3 - .05n = 2.9

3 = .05n + 2.90

.05n = 0.1

n = 2

(dimes is 30 - 2 = 28)

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Ella set out a board of pine lumber that was 0.8 feet long and a board of cedar lumber that was 0.80 feet long. Alberto said the cedar board was longer. Is he correct?

Answers

Answer:

No

Step-by-step explanation:

0.8=0.80

Find the length of each side of the parking lot, in metersTop: |-80| + |___| = ___ + 50 = ___mBottom: |___| + |50| = 80 + ___ + 50 = ___mLeft: |50| + |___| = ___ + 20 = ___mRight: |___| + |-20| = 50 +___ = ___m

Answers

Answer:

Step-by-step explanation:

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