A regular hexagon has a perimeter of 150 m. Find its area. Leave your answer in the simplest radical form.

Answers

Answer 1

Answer:

1623.80 m²

√3(1875/2) m²

Step-by-step explanation:

The area, A of a regular hexagon can be obtained using the relation :

A = √3(p²/24)

The perimeter, p = 150 m

Therefore,

A = √3(150²/24)

A = √3(22500/24)

A = √3(937.5)

A = 1623.7976

A = 1623.80 m²

A = √3(1875/2) m²


Related Questions

Rewrite y +2> +(6x –9) to isolate the y-term.
Rewrite y +2>2(6x-
Helppppp

Answers

Given:

The inequality is:

[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]

To find:

The inequality after isolating the y-term.

Solution:

We have,

[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]

On simplification, we get

[tex]y+2>\dfrac{1}{3}(6x)+\dfrac{1}{3}(9)[/tex]

[tex]y+2>2x+3[/tex]

Subtracting 2 from both sides of the above inequality, we get

[tex]y+2-2>2x+3-2[/tex]

[tex]y>2x+1[/tex]

Therefore, the required inequality is [tex]y>2x+1[/tex].

The area of the base is 15cm. The height is 6 cm. What is the volume of the rectangular prism?

Answers

Answer:

you don't put the L value

Is this true or false???!!!

Answers

Answer:

It is true

Step-by-step explanation:

Hopes this help

I believe its true! Here is the equation on my graphing calc. It definitely has an “S” shape to it. Hope this helps!!

Help pleasssere!!!!!!!!!!!

Answers

Step-by-step explanation:

I hope it helps...I just put it in point slope form

John wants to know his class’s favourite TV show, so he surveys all of the boys. Will the sample be representative or biased?

Answers

the sample will be biased

The sample will be biased.

What is bias?

Bias is a disproportionate weight in favor of or against an idea or thing, usually in a way that is closed-minded, prejudicial, or unfair. Biases can be innate or learned. People may develop biases for or against an individual, a group, or a belief. In science and engineering, a bias is a systematic error.

Here, we have,

John wants to know his class’s favourite TV show, so he surveys all of the boys.

now, we get,

The sample will be biased.

to learn more on bias click:

brainly.com/question/28748065

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A surveyor is using indirect measurement to find the height of a cliff. He is 4 feet tall and is standing 32 feet away. How tall is the cliff?

Answers

Answer
Step by step explanation

Answer:

256 ft

Step-by-step explanation:

[tex]\frac{x}{32} =\frac{32}{4}[/tex]

cross multiply

4x = 32(32)

4x = 1024

x =256

256 ft

PLZZ THIS IS DUE
Module 8: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.



Question: Explain what a chord is and determine if a diameter is or is not a chord?

Answers

A chord is a line segment. This line segment goes from one point on a circle to another. A diameter perfectly exemplifies a chord. The diameter of a circle goes from one end of the circle to the other. Chords aren’t necessarily diameters though, as don’t have to go the full diameter of the circle to be chords.

3 · (7 – 2) – 23 – (10 – 4) : 9

Answers

Answer:

-14:9

Step-by-step explanation:

Given :

3 · (7 – 2) – 23 – (10 – 4) : 9

Now,

3 · (7 – 2) – 23 – (10 – 4) : 9

21-6-23-6:9

21-35:9

-14:9

Answer will be -14:9

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what is 2 over 3 + 4 over3

Answers

2/3 +4/3=6/3=2.... Self explanatory

Helpppppp please I need this

Answers

to calculate the slope, you should solve this: (15-5)/(21-7) :) hope it helps

How could you use a model to find 7 divided by 2= 7/2

Answers

Answer:

[tex] \frac{7}{2} \\ = 3 \frac{1}{2} [/tex]

Find a point on the line and the line's slope.
y+4=-3/2(x+7)

Answers

Answer:

The slope is 3/2 and a point on the line is (-7,-4)

Step-by-step explanation:

Point slope form of a line is

y -y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y+4=-3/2(x+7)

y - -4 = 3/2 ( x - -7)

The slope is 3/2 and a point on the line is (-7,-4)

Factor the following 2x-18x+36=

Answers

Hey there!

2x - 18x + 36

COMBINE the LIKE TERMS

(2x - 18x) + 36

2x - 18x = -16x

36 = 36 because it doesn’t have any like terms

= -16x + 36

Answer: -16x + 36 or you could simply say

4(-4x + 9)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Find the measure of x and y

Answers

Answer:

y - 41°

x - ?

Step-by-step explanation:

use method of Z equation

Z 41° so y is 41° too

make sense

Two positive numbers have a difference of 21. The larger number is five more than twice the smaller. Find the two numbers.

Answers

Answer:

X = 29

Y = 8

Step-by-step explanation:

X - y = 21

X = 2y + 5

Substitute:

2y+5-y= 21

2y = 16

Y = 8

X-8 = 21

X = 29

One is 29 and one is 28

Quel nombre obtient-on avec le programme de calcul cicontre, si l'on choisit comme nombre de départ −7 ? Programme de calcul Choisir un nombre de départ. Ajouter 2 au nombre de départ. Élever au carré le résultat.

Answers

Répondre:

25

Explication étape par étape :

La question exigeait qu'un numéro de départ soit choisi ; 2 ajoutés au numéro de départ et le carré du résultat est effectué :.

Numéro de départ = - 7

Ajouter 2 à - 7

2 + - 7 = 2 - 7 = - 5

Carré du résultat /

-5² = 25

A city has a population of 340,000 people. Suppose that each year the population grows by 5.25%. What will the population be after 15 years?

Answers

Answer:

Future population = 720800

Step-by-step explanation:

Below is the calculation of population after 15 years.

Given the present population = 340000

Growth in population = 5.25%

Use below formula to find the values:

Future population = Present population ( 1 + r)^n

Future population = 340000 ( 1 + 5.25%)^15

Future population = 340000 (2.15)

Future population = 720800

The LCM of two numbers is 48. The number one in the ratio 2:3. Then Sum of the numbers is:

a) 16
b) 14
c) 32
d)28​

Answers

Answer:

40

Step-by-step explanation:

Let the numbers be 2x and 3x

Then their L.C.M. = 6x

BUT also their LCM=48

6x=48

x=48/6

x=8

So,

First number=2x=2x8=16

Second number=3x=3x8=24

The numbers are 16 and 24.

Hence required sum =(16+24)=40

So none of the options are correct

Find the area of trapezium

Answers

4+8=12
12x6=72
72/2=36cmsquared

Answer:

A=36

Step-by-step explanation:

A=1/2(a+b)h

=1/2[(4+8)6]

=1/2[(12)6]

=1/2(72)

=36

PLS HELP What type of line is PQ¯¯?
A. side bisector
B. median
C. altitude
D. angle bisector

Answers

Answer: Altitude

Step-by-step explanation:

Altitude is perpendicular line made from vertex to side

The line PQ is the altitude, the correct option is C.

What is a Triangle?

A triangle is a polygon with three sides, three vertices and three angles.

The Triangle PSR is an obtuse angle triangle,

The line PQ makes 90 degree with the line SR extended up to Q.

The line is the height of the triangle.

To know more about Triangle

https://brainly.com/question/2773823

#SPJ5

Use the Pythagorean theorem to classify the triangle
formed by the three fences. Which is true about the
numbers 5, 12, and 13?

Answers

Answer:

they are equal

Step-by-step explanation:

The triangle with sides 5, 12, 13 is a right triangle because

a^2+b^2 = c^2

5^2+12^2 = 13^2

25+144 = 169

169 = 169

I'm using the pythagorean theorem converse.

what's the answer for this question please thank you :)​

Answers

Answer:

Arc AB = 110

Step-by-step explanation:

<C = 55 degrees. That's the way the triangle is marked. AB = BC.

The central angle is twice the angle made by the end points of line AB

The central angle = 2*55 = 110

The measure of arc AB equals the central angle which makes arc AB = 110

please help !!! i don’t know how to write down the number of tiles :(

Answers

Figure 0 has 3 tiles, 1 has 5, 2 has 7, 3 has 9, 4 has 11

The equations to this problem .

Answers

Answer:

The answer would be the third one.

the answer to this problem is y=11/4

Macy's buys a coat from the manufacturer for $22.00. They markup the coat by 75%. Ms. Tonyes buys the coat and uses a 15% off coupon. How much does Ms. Tonyes pay for the coat before tax?

Answers

Answer:

Toney buys the coat for $ 14.8.

Step-by-step explanation:

Cost of coat =$ 22

Mark up by 75 %

discount = 10 %

Let toney pay $ R for the coat.

So, according to the question

R + 75 % R = 1.75 R

Now the cost is

1.75 R - 15 % of 1.75 R = 22

1.75 R - 0.2625 R = 22

R = 14.8

So, he buy the coat for $ 14.8.  

find the slope of a line parallel to given line.

Answers

the slope of the line is -3

Answer:

-3

Step-by-step explanation:

If lines are parallel to each other, they will never touch so the slope will be the same.

So if the first line is already given in slope intercept form, that means the -3 is the slope.

So a line parallel to this would have the slope -3 and start at a different place on the y axis.

Please please help me please

Answers

Answer:

Step-by-step explanation:

height of a triangle=4x-1

base=5x+2x-3

=7x-2

area of triangle=base*height/2

=(7x-2)(2x-3)/2

=7x*2x-7x*3-2*2x+2*3/2

=14x^2+21x-4x-6/2

=14^2+17x-6/2

area of rectangle=l*b

(7x-2)(4x+1)

7x(4x+1)-2(4x+1)

4x*7x+7x*1-2*4x-2*1

=28x^2+7x-8x-2

=28x^2-x-2

area of shaded part=area of rectangle-area of triangle

=[tex](28x^2-x-2 )-\frac{14x^2+17x-6}{2}[/tex]

If X and Y varies inversely, what would the value of X be? (-9,4) (x,-12)

Answers

Answer:

Use papa math

Step-by-step explanation:

Use papa math

What are the coordinates of the hole in the graph of the function?

f (x) = x^2 − 3x − 10
x−5

Enter your answer in the boxes.

Answers

Answer:

The hole is at (5,7)

Step-by-step explanation:

x^2 − 3x − 10

-------------------

x−5

Factor the numerator

(x-5)(x+2)

-------------------

x−5

There is a hole at x=5 since it will cancel in the numerator and the denominator

f(x) = x+2  and letting x = 5

f(5) = 5+2

The hole is at (5,7)

If y=-2x+6 wee changed to y=3x+2 how would the graph of the new line compare with the first one

Answers

Answer: (a)

Step-by-step explanation:

Given

The given graph is y=-2x+6 and it changed to y=3x+2

The slope of the graph determines the steepness

Slope changes from -2 to 3. So, latter graph is more steeper.

Also, y intercept is obtained by putting x as 0

Y intercept changes from 6 to 2 i.e. decrease of 4 units

Hence, option (a) is correct.

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