The Gomez’s deck is shown below. The deck is a regular hexagon. It has a perimeter of 45 units. What is the are of the deck

Answers

Answer 1

Answer:

The area of the deck is of 146.14 squared units.

Step-by-step explanation:

Regular hexagon:

A regular hexagon has 6 sides, all with the same measure.

Perimeter of a regular hexagon:

The perimeter of a regular hexagon with side x is given by:

[tex]P_h = 6x[/tex]

Area of a regular hexagon:

The area of a regular hexagon with side x is given by:

[tex]A_h = \frac{3\sqrt{3}x^{2}}{2}[/tex]

It has a perimeter of 45 units.

This means that:

[tex]6x = 45[/tex]

[tex]x = \frac{45}{6}[/tex]

[tex]x = 7.5[/tex]

What is the are of the deck

[tex]A_h = \frac{3\sqrt{3}x^{2}}{2} = \frac{3\sqrt{3}*(7.5)^{2}}{2} = 146.14[/tex]

The area of the deck is of 146.14 squared units.


Related Questions

ms. simonaue and Mrs. law are racing in the big race. Their distance in meters and their time is measured in seconds. Ms. Simonaue ride is described in the equation.

[tex]y = \frac{3}{2} x + 4[/tex]
what is the description to match the equation. what is her rate? did she get a head start?​

Answers

Answer:

She started 4 meters ahead and moves forward 1.5 meters every second.

The rate is 1 and 1/2 meters per second and she did get a head start of 4 meters

f(x) = x3 – 3x2 - x + 3
what is the domain and range?

Answers

Answer:

Domain: (-∞,∞)

Range: (-∞,∞)

Hope this helps.

Find the circumference. Round to the nearest hundredth. Diameter= 16 feet

Answers

Step-by-step explanation:

[tex] = 2\pi \times r = 2\pi \times \frac{16}{2} = 2\pi \times 8 = 50.265 = 50.27[/tex]

I need help with this geometry question

Answers

Answer:

x=9; JL= 23

Step-by-step explanation:

To find x:

If JL and KM are equivalent, then JL = KM. Substitute the equations and you get 2x+5 = 7x-40.

Put the similar terms on the same side by subtracting 2x from both sides and adding 40 to both sides. You will get 45=5x.

Get x alone by dividing both sides by 5 and you will get 9=x.

To find JL:

Substitute the x in 2x+5 (JL length equation) with 9. Your new equation will be 2(9) + 5.

2•9 = 18.

18+5=23

Please give me the answer. Thanks

Answers

the perimeter is 36 inches

If r * s = s to the power of r, then 3 * 2 =​

Answers

Answer:

[tex]3*2=8[/tex]

Step-by-step explanation:

We know that [tex]r*s=s^{r}[/tex], and we want to find [tex]3*2[/tex] using this formula. To do this, notice that [tex]r=3[/tex] and [tex]s=2[/tex], so all we have to do is substitute the given values into the formula. Therefore:

[tex]r*s=s^{r}[/tex]

[tex]3*2=2^{3}[/tex] (Substitute [tex]r=3[/tex] and [tex]s=2[/tex] into [tex]r*s=s^{r}[/tex])

        [tex]=8[/tex] (Simplify)

Hope this helps!

Plz guys I need your help

Answers

The answer is B because b is the only answer that has the coordinate (3,4) in it which is the coordinate for the top right dot .

Which table represents the statement "Brian rides a bicycle at a rate of 12 meters per second"?
seconds (S)
1
2
3
meters (m)
12
18
24
seconds (S)
1
2
3
meters (m)
12
24
48
seconds (S)
2
3
meters (m)
12
13
14
seconds (S)
1
2.
meters (m)
12
24
Mark this and return
Save and

Answers

Answer: D

Step-by-step explanation: Because

1 x 12 = 12

2 x 12 = 24

3 x 12 = 36

Answer:

D

Step-by-step explanation:

Got 100 on test on Edg

If y=-4+11 and 3x+y=9 what is the value of y?

Answers

Answer:

y = 7

x = 2/3

Step-by-step explanation:

hope it help

plz follow me

Answer:

2/3

Step-by-step explanation:

We know the value of y, so substitute y into the equation:

3x + (-4 + 11) = 9 --> remove parentheses

3x - 4 + 11 = 9

3x + 7 = 9 --> subtract 7 from 9

3x = 2 --> divide

x = 2/3

What's the variable of 23x4=c

Answers

Answer:

c=23x4

Step-by-step explanation:

Step 1: Flip the equation.

c=23x4

Pls someone help me!

Answers

Answer:

Step-by-step explanation:

What is the value for each box to make the expressions true?

1: 7(3+5) = ? + ?

2: 15 - 10 = ? (3-2)

Please hurry I have to submit this by 3:00

Answers

Answer: 1.  7(3+5)= 21+35

2. 15 - 10 = 5 (3-2)

Step-by-step explanation:

1: 7(3+5) = ? + ?

Opening the bracket and multiplying each number by 7

7 x 3 + 7 x 5 = 21 + 35 =56

7(3+5)= 21+35

2.15 - 10 = ? (3-2)

15- 10 = 5  , On the other hand,

3-2 = 1

to make the left hand equivalent to the right hand side , we multiply the difference gotten from 3-2 by 5 so we have

15 - 10 = 5 (3-2)

5=5(1)

5=5

WILL MARK AS BRAINLIEST! PLEASE ANSWER!!
X=

Answers

Answer:

X = 13

Step-by-step explanation:

Please mark me brainliest!!

The model shows the expression 20+16. Which expression is equivalent to this sum?

Answers

Answer:

4(5+4)

Step-by-step explanation:

20+16 = 36

4(5+4)=

4(5)+4(4)=

20+16= 36

4(5+4)=

4(9)= 36


A milkshake recipe calls for 1/3 cup of milk for each milkshake if the server has 15/8 cups of milk what is the maximum number of milkshakes the server can make following the recipe .

Answers

Answer:

5

Step-by-step explanation:

Q is asking how many (1/3)s are in (15/8):

(15/8) / (1/3)

(to divide fractions, flip the second fraction over and then multiply)

(15/8) * (3/1)

(15 * 3) / (8*1)

45/8

=5.625

Can you help me please with this

Answers

-39/100 is the answer according to me ..

Plz mark me as brainliest if u found it helpful

Julio invest $15,000 in a savings account that pays 1.5% simple interest. How much will be in the

account after 5 years if Julio makes no withdrawals or deposits? *

Answers

Answer: Final amount

Step-by-step explanation:

Final amount = Simple interest + Principal

=Principal x Rate x Time + Principal

= Principal (Rate x Time +1)    [Simple interest =Principal x Rate x Time]

 

Given: Principal = $15,000, Rate = 1.5% = 0.015  [To conver % into decimal we divide it by 100]

Time = 5 years

Final amount = $(15000(0.015 ×5+1))

=$ (15000×1.075)

=$ 16125

Hence, there will be $16,125 in the account after 5 years  if Julio makes no withdrawals or deposit.

Which of the following is the graph of the function y = (x – 3)2 – 2?

Answers

Answer: I’m pretty sure it’s graph A

Step-by-step explanation:

Answer:

D, Last graph

Step-by-step explanation:

After test review, it revealed the answer, but the answer's D. Sorry for the poor explanation!

How many different committees can be formed from 7 teachers and 30 students if the committee consists of three teachers and four students

Answers

Answer:

959175

Step-by-step explanation:

a) Teachers' committee:

[tex]C^3_7=\frac{7!}{3!4!}=35;[/tex]

b) Students' committee:

[tex]C^4_{30}=\frac{30!}{4!(30-4)!}=\frac{27*28*29*30}{2*3*4}=35*27*29=27405;[/tex]

c) Teachers & Students:

[tex]C^3_7*C^4_{30}=35*27405=959175.[/tex]

What is the perimeter of the figure?

Answers

Answer:

138cm

Step-by-step explanation:

there are 2 sides equal to 27

27 + 27 = 54

there are 6 squares = to 14

6 × 14 = 84

54 + 84 = 138

What is the slope-intercept form of this equation?
3x + 9 y = 18

Answers

y = -1/3x + 2

Explain: subtract 3x from 18, which will get you -3x + 18.
Next, get 9y and divide it by everything so it’ll look like 9y = -3x + 18
-——-————
9y
and you’ll get y = -1/3x + 2
Hope this helped

Estimate the time Juanita will arrive at her aunt's home 320 miles away if she leaves at 9:00 a.m., drives about 60 miles per hour, and stops

for a 40 minute break halfway.

A 12:00 p.m.

B. 1:00 p.m.

c. 2:00 p.m.

D. 3:00 p.m.

E. 4:00 p.m.

Answers

Answer:

D. 3:00 p.m.

Step-by-step explanation:

d = Distance = 320 miles

s = Speed = [tex]60\ \text{mph}=\dfrac{60}{3600}=\dfrac{1}{60}\ \text{miles/s}[/tex]

Time taken is given by

[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{320}{\dfrac{1}{60}}\\\Rightarrow t=19200\ \text{s}[/tex]

40 minutes break is [tex]40\times 60=2400\ \text{s}[/tex]

Total time taken is [tex]19200+2400=21600\ \text{s}=\dfrac{21600}{60\times 60}=6\ \text{hours}[/tex].

So, the entire trip took 6 hours. 6 hours after 9 a.m. is 3 p.m.

3. What is the perimeter of a rectangle if the width is 2 ½ inches and the length is 4.5 inches?
(show how you get your answer please)

Answers

Answer:

Perimeter of the rectangle =  14 inches

Step-by-step explanation:

Step(i):-

Given length of the rectangle = 4.5 inches

Given that the width of the rectangle = [tex]2\frac{1}{2} = \frac{5}{2} = 2.5[/tex] inches

The area of the rectangle = length × width

                                          = 4.5 × 2.5

                                          = 11.25 sq inches

Step(ii):-

Perimeter of the rectangle = 2( length + width)

                                            = 2( 4.5 + 2.5)

                                            = 14 inches

Final answer:-

Perimeter of the rectangle =  14 inches

What is -1/2+-1/5+-5x+3/10+3/2=

Answers

Answer:

-5x + 11/10

Step-by-step explanation:

Madison makes 4 types of hair ribbons. She makes 3 of each type of ribbon. How
many hair ribbons does Madison make?
A 12
B. 10
C. 9
D. 7

Answers

Answer:

D. 7

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

HELP!!! Need to finish this today! Overdue! Will mark you branliest...your help will be greatly appreciated :)

Answers

Answer:

C. SAS

Step-by-step explanation:

If you look at both of the triangles carefully, you will see that both side AB and side DC have the same amount of lines. Since they have the same sides, the angle that they share would equal each other as well. The last side is obviously equal to each other because they are the same.

SSS, because all of the sides are the same ; AC = BD , AB = CD , and they both share side BC

u have got this !! dont stress too much :(

Snowflake the snowman wants to buy new scarves if each scarf cost $4.27 how much did snowflake spend if he buys 5

Answers

Answer:

21.35

Step-by-step explanation:

4.27 * 5 i hope this is one of your answers

Long Division of Polynomials | Divide (28n² + 13n + 4) = (7n + 5)

Answers

Answer:

(28n²+13n+4) ÷ (7n+5) = 4n-1 remainder 9

Step-by-step explanation:

Nancy has worn a blue skirt on 8 of the last 20 days.
What is the probability that Nancy will wear a blue skirt tomorrow?
Shade the probability as a fraction of the circle.
HELP

Answers

Answer:

it's just 8/20 so shade 8/20 of the circle


If a card is drawn from an ordinary deck of cards, and then a second card is drawn from the same deck
without replacing the first card, these two events are

Answers

Answer:

event horizon

Step-by-step explanation:

Other Questions
can someone explain this to me? PLEASE HELP FAST!! Which cause of the Spanish-American War do you think was the most important to the untied states becoming involved Is 12r - 5 the same as -5 + 12rI'm so tried plz help- What is the rebuttal in an argumentative essay? Can anyone help me plz 9R and T are two mutually exclusive events.P(R) = 0.2 and P(R or 1) = 0.69Work out P(not T). How do purple goggles count the apple bushes if the sky is falling yesterday, and if so why is 7 scared of 8? and why are you orange? Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used Identify the pronoun or pronouns that correctly complete the sentence.Megan's skating teacher gave them toOA. her and meOB. she and IoC. they and ID. she and me During early adulthood, significant hormonal changes continue. What is a result of this in some males?a. beginning of production of testosterone by the testesb. beginning of sperm production c. beards grow thicker and their voices become slightly deeper and richer d. increased body hair begins what do you use with la tiza? Some people will obtain a bachelors degree with a focus in fashion design. Then to increase their skill set, they may also obtain a(n) _[blank]_ in a different degree like marketing. please help asap with legit answers What is x?4x(2x+6)=8x(23-5)pls, help for the first person to answer I will give them a brainlist. Please help me...... Identify the type of benefit for each statement.Reducing stress about STDs is a(n)benefit of abstinence.Maintaining reproductive health is a(n)benefit.Increasing the likelihood of achieving goals is a(n)benefit. Please help! Geometry: Which of the following layers in Earth has the highest density?O a. asthenosphereO b. lithosphereO c. outer CoreO d. lower mantle PLEASE HELP! THE STORY IS DOWN BELOWPioneering in Florida1 Ben Hill Doster moved his family from Atlanta, Georgia, to Jupiter, Florida, in 1894 to help his sister. Her husband had died, but she hoped to own 160 acres of land there as a homestead. She just needed to live on it for one more year.2 Soon after they arrived, Ben Doster took his family on a boat ride up the Loxahatchee River. Suddenly, the air turned cold. Feeling agitated, Doster rowed hurriedly back to the tiny cabin, and the family huddled inside near a roaring fire. That night they heard sounds like gunshots, but the sounds turned out to be the trunks of orange trees exploding when they froze. The next morning, they awoke to find their 16-acre pineapple patch frozen and their garden vegetables dead.3 Many new settlers left soon after the Big Freeze of 1894, but the Doster family stayed. They replanted their pineapples and their garden, and they also opened up a general store. Slowly, Dosters wife and two daughters learned to love the land of southern Florida and respect its dangers.4 In their first year, they began to recognize the sounds of the swamp at night. They thought of it as a nightly serenade; different types of frogs had distinctive calls. The tiniest frogs chirped tea table, tea table. The bullfrogs boomed rung, rung, rung. Owls hooted and birds called to their mates. Sometimes, alligators bellowed. 5 But one night they awoke to hear the painful scream of a woman. She sounded like she was nearby, so Mrs. Doster prepared to go outside to look for her. But Ben Doster stopped her at the door. He explained that when panthers screamed in the night, they sounded exactly like a woman in pain. No one should go outside to help because panthers were dangerous.6 One of Dosters daughters, Dora, later wrote about her memories of the time. She wrote lovingly of mangrove and cypress trees hung with Spanish moss. She saw white herons standing like statues waiting to pluck fish from the shallow water. Yellow and orange butterflies danced down a path in front of her. She thought the ocean before a hurricane looked like a vicious monster, curling its jaws and showing its teeth. She learned to watch for the poisonous snakes that lived along the paths.7 Doras mother was a strong and brave woman. She stood up to panthers, alligators, and hurricanes. But for her, there was more than danger, beauty, and excitement. Doras father worked long hours at the store. Dora thought her mother must have gotten very homesick and lonely at the cabin. She saw her mother watch the trains pass to the east and listen to their mournful wails. Dora believed she often wanted to be on one of those trains, headed back home. She had grown up in Atlanta and had not planned to become a pioneer.THAT'S the FIRST ONE. NOW, THE SECOND IS THIS LINK. CAN'T SHOW REST HERE CAUSE BRAINLY WON'T ALOUD https://www.wattpad.com/1020207559-school-ignore-untitled-part-1Explain how the Dosters and Ponce de Len were both exploring a new world. Use details from both texts to describe their different experiences. HELPPPP (reposting since pic was blurry)