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

Answer:

We have,

side= a

= 8 cm

We know that the area of the regular hexagon

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

[tex] = \frac{3 \sqrt{3} }{2} {8}^{2} [/tex]

[tex] = \frac{3 \sqrt{3} }{2} \times 64[/tex]

[tex] = 96 \sqrt{3} \: \: {cm}^{2} [/tex]

Step-by-step explanation:

Hope it is helpful...


Related Questions

Which shapes make up this composite figure?

a cylinder and a cone
a cylinder and two cones
a half sphere, a cylinder, and a cone
a sphere and a cylinder

Answers

Answer: a sphere and a cylinder

Step-by-step explanation:

The composite figure has two semi-circles on each end (which is basically a whole sphere). In the middle is a cylinder. So, d is the correct option.

A cone has a triangular form, so it can't be the other answers.

Answer:

D

Step-by-step explanation:

3. Robin drove 80 miles in 1.6 hours.
At what rate was Robin driving?
A 80 miles per hour
B 70 miles per hour
C 65 miles per hour
D 50 miles per hour
Answer quick plzzz no website

Answers

Answer:

The answer is 50 miles per hours.

The salary of college professors from more than 25,000 universities and colleges in USA is normally distributed with a mean, $85,900 and its standard deviation, $11,000. If you collect a random sample from 35 professors, find the probability that the sample mean is between $70,000 and $100,000?

Answers

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mean,\ \sigma=standard\ deviation.\\\\For \ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Therefore given that μ = $85900, σ = $11000, n = 35.

For x > 70000:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{70000-85900}{11000/\sqrt{35} } =-8.55\\[/tex]

For x < 100000

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{100000-85900}{11000/\sqrt{35} } =7.58[/tex]

From the normal distribution table, P(70000< x < 100000) = P(-8.55 < z < 7.58) = P(z < 7.58) - P(z < -8.55) = 1 - 0 = 1 = 100%

Line GH passes through points (-6,-30) and (4,-5) . What is the linear equation for line GH?

Answers

Answer:

y=1/4x+2

Step-by-step explanation:

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1 =1/4 (x - 12). The slope-intercept form of the equation for this line.

Answer:

y=1/4x+2

The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y - 1=1/4 (x - 12). The slope intercept form of the equation for this line.

the model represents the equation - 3 =10. Which is the value of x in the equation x - 3 = 10?

Answers

Answer: C

Step-by-step explanation:

13-3=10

X= 13.
You isolate x by adding 3 on both sides of the equation. Once you do that, you are left with x=13.

hope this helps!!

What is 9/20 minuets 5/20

Answers

Answer:

I'm confused on what you're trying to ask

Answer:

[tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

Step-by-step explanation:

When subtracting fractions with the same denominator, you keep the base the same and subtract the numerators. In this case, [tex]\frac{9}{20} -\frac{5}{20} =\frac{4}{20}[/tex], and [tex]\frac{4}{20}[/tex] can be simplified into [tex]\frac{1}{5}[/tex], so [tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

ack can someone help?

Answers

Answer:

2.8

Step-by-step explanation:

hypotonus is the longest edge of any triangle;

here the tallest edge equals the root of 8

the root of 8 = 2.83

Find each product of the equation. I need help please

Answers

Answer:

1. 15x-10

2. x²-x-12

3. x²-8x+12

4. 2x³+4x²-30x

5. 6x³- 12x²+6x

6. 4x³+12x²-20x

Step-by-step explanation:

4.2x(x+5)(x-3)

= 2x(x²-3x+5x-15)

= 2x(x²+2x-15)

= 2x³+4x²-30x

I dont get this Rewrite the equation below so that it does not have fractions. 2-(3)/(4)x=(9)/(10) Do not use decimals in your answer.

Answers

Answer:

Suppose we have an equation like:

[tex]\frac{A}{C} = \frac{B}{D}[/tex]

If we want to remove the denominators, we should multiply both sides by each denominator.

First, let's multiply both sides by C.

[tex]\frac{A}{C}*C = \frac{B}{D}*C[/tex]

[tex]A = \frac{B}{D}*C[/tex]

Now let's multiply both sides by D.

[tex]A*D = \frac{B}{D}*C*D[/tex]

[tex]A*D = B*C[/tex]

So now we removed the denominators.

Now let's do this to our expression.

[tex]2 - \frac{3}{4*x} = \frac{9}{10}[/tex]

First, let's multiply both sides by 10

[tex](2 - \frac{3}{4*x})*10 = \frac{9}{10}*10[/tex]

[tex]20 + \frac{30}{4*x} = 9[/tex]

Now let's multiply both sides by 4*x

[tex](20 + \frac{30}{4*x})*4*x = 9*4*x[/tex]

[tex]20*4*x - 30 = 9*4*x[/tex]

[tex]80*x - 30 = 36*x[/tex]

Now we can solve this for x:

[tex]80*x - 36*x = 30[/tex]

[tex]44*x = 30[/tex]

[tex]x = \frac{30}{44} = 0.68[/tex]

Which of the following is a true statement based on the graph shown ?

Answers

Answer: I feel like it's the last one

Step-by-step explanation: ahhh I could be wrong I've had this problem before and I'm certain I chose the last one but I could be wrong if I'm wrong then I'm very sorry

What is the area of the triangle?
4
2
_____units2

Answers

Answer:

4

Step-by-step explanation:

Answer:

Yup it’s 4

Step-by-step explanation:

What is the slope of the line that passes through the points (-6,3) and (4,8)

A 1/2
B -2
C 2
D -1/2

Answers

Answer:

A) 1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-3)/(4-(-6))

m=5/(4+6)

m=5/10

m=1/2

can someone help me i need to find the value of x that will make a||b

Answers

X= 54

hope it helps

how do i find the diameter of a circle with only knowing the area?

Answers

Answer:

2 * (Area/pi)^(1/2) = diameter

Step-by-step explanation:

The equation for the area of a circle is A = pi * r^2

We can divide both sides by pi to get:

A/pi = r^2

Then take the square root of both sides to get:

(A/pi)^(1/2) = r

Then, since D = 2 * r, we can multiply both sides of the above equation by 2 to get:

2 * (A/pi)^(1/2) = 2 * r = D

Answer:

d=2[tex]\sqrt{a/\pi }[/tex]

Step-by-step explanation:

Como hago para calcular el porcentaje de unos datos agrupados , porfa ayuda no entiendo. osea tipo : tengo que calcular cual es el porcentaje de personas que trabajan que tienen esta edad 31-46 y pues nose si colocar 3%-4% ay no se estoy perdida porfa si entienden lo q trato de decir me ayudaria resto

Answers

Answer:

Falta información para darte una respuesta exacta, así que voy a dar una explicación general de este tipo de problemas.

Querés saber cuál es el porcentaje de personas que trabajan y están en el rango de edades entre 31 y 46.

Entonces lo primero que tenemos que hacer es encontrar el número total de personas que trabajan, digamos que es T (esto es el 100%)

Luego hay que encontrar el número total de personas que trabajan y tienen entre 31 y 46, digamos que es N.

Podemos relacionar estas cantidades con porcentajes de la siguiente manera:

N = P

T = 100%

Donde P es el porcentaje que queremos calcular.

Si tomamos el cociente de esas dos ecuaciones, obtenemos:

N/T = P/100%

Resolviendo para P obtenemos:

(N/T)*100% = P

El porcentaje de personas que trabajan y tienen entre 31 y 46 va a ser entonces:

P = (N/T)*100%

Así sabiendo el número total de personas que trabajan y el número de personas que trabajan y además tienen edades entre 31 y 46, podemos calcular el porcentaje que queremos.

Particularmente decis que no sabes si colocar 3% o 4%.

Lo que podria implicar que tambien quizas tengas un problema de redondeo.

Si tenes un numero como:

3.a%

donde a es un digito entre 0 y 9

si a es menor que 5, entonces redondeamos para abajo, y asi obtenemos:

3.a% = 3%

si a es igual a 5 o mayor, redondeamos para arriba, asi obteniendo:

3.a% = 4%.

PLEASE HELP AND SHOW WORK PLS QUICK
Noah and Emma are standing on opposite sides of a 43.3 ft tree looking up at Noah’s cat, which is perched at the very top. They are separated by a horizontal distance of 100 ft. The distance from Emma to the cat is 50 ft and her angle of elevation to see the cat is 60°. The distance from Noah to the cat is 86.6 ft and his angle of elevation to see the cat is 30°.

(a) Identify three different trigonometric ratios that could have been used to find the distance x between Emma and the base of the tree. For each trigonometric ratio, determine the distance. Round to the nearest whole number.

(b) Use the Pythagorean theorem to find the distance x between Emma and the base of the tree. Round to the nearest whole number.

Answers

Step-by-step explanation:

This is an altitude hypotenuse problem.

Answer:

a) (100-x)/86.6 or x/50

b) 10,000 (86.6^2 + 50^2)

Step-by-step explanation:

To find x you have three options, according to a). So you can use the small triangle, middle or larger triangle

So if you use the small triangle you use the angle of 60 degrees

You have your hypotenuse and you need to find your adjacent

So use cos(60)=x/50

Then use your middle triangle, where you can use 30 and do cos(30) = (100-x)/86.6

for b, use (100-x)^2 = 86.6^2 + 50^2

50^2 = x^2 + 43.3^2

Find the sum of the first 24 terms in the following arithmetic
series:
9+13+17+21+..

Answers

Answer:

1212

Step-by-step explanation:

solve the proportion 11/5 = 2/-6

Answers

Answer:

They are not equal

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: There is no solution, due to the left and right sides not being equal.

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Write down an algebraic rule to show the relationship between the number of lines
(L)and pattern number (n).​

Answers

J0IN G00GLE MEET GIRL$

wnp-hxru-ipf

PLS SOMEONE HELP ME QUICKLY

Answers

Given:

In a parallelogram [tex]PRTV, VQ\perp PR,VS\perp RT[/tex].

To prove:

[tex]\dfrac{PQ}{ST}=\dfrac{PV}{VT}[/tex]

Solution:

It is given that [tex]VQ\perp PR,VS\perp RT[/tex], it means [tex]\angle PQV[/tex] and [tex]\angle TSV[/tex] are right angle triangles.

In triangle PQV and triangle TSV,

[tex]\angle PQV\cong \angle TSV[/tex]         (Right angles)

[tex]\angle QPV\cong \angle STV[/tex]         (Opposite angles of a parallelogram)

Two corresponding angles are congruent. So, by AA property of similarity, we get

[tex]\Delta PQV\sim \Delta TSV[/tex]

We know that the corresponding parts of similar triangles are proportional. So,

[tex]\dfrac{PQ}{TS}=\dfrac{PV}{TV}[/tex]

It can be rewritten as:

[tex]\dfrac{PQ}{ST}=\dfrac{PV}{VT}[/tex]

Hence proved.

A European bond has a par value of 1000 Euros, a coupon rate of 4.5 percent and a yield to maturity of 3.2 percent. The bond has 19 years to maturity. Coupons are made annually. What is the value of the bond?

Answers

Answer:

Bond Price​= 1,182.96

Step-by-step explanation:

Giving the following information:

Par value= 1,000

Cuopon= 1,000*0.045= 45

YTM= 3.2%

Number of years (n)= 10

To calculate the price of the bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 45*{[1 - (1.032^-19)] / 0.032} + [1,000 / (1.032^19)]

Bond Price​= 633.31 + 549.65

Bond Price​= 1,182.96

square root of 48841​

Answers

Answer:

The square root of 48841 is 221.

Step-by-step explanation:

If you multiply 221 by 221, then you get 48841. So the square root is 48841. Hope this helped! :D

What is the value of x, pls no jokes​

Answers

Answer:

25

Step-by-step explanation:

15/6*10 = 25

Solve super fast please

Answers

Answer:

x = 8

Steps:

(4x-2) + (17x+14) = 180

4x + 17x -2 + 14) = 180

21x + 12 = 180

21x = 180-12

21x = 168

x = 168/21

x = 8

HEEELP Chose the correct answer:
Yan is 4 years younger than 3 times the age Lana, and the father of Yan is double the age sum of Yan and Lana. what is the age of the father?
x= Lana
a) 4x-5
b) 8x-5
c) 4x-10
d) 8x-10

Answers

Answer:

8x-8

Step-by-step explanation:

if Lana is X year

then that makes Yan 3X-4

the father is twice the sum of their ages

3X-4+X=4X-4

the father being twice

his age should be

8X-8

Mrs.Ramirez worked with her personal trainer to help develop a nutrition plan. The circle graph shows the recommended percentages for her daily intake. If she will start week 1 eating 1,800 calories, then how many should be from proteins?
Daily food intake:
Fruit: %15
Grains: %15
Protein: %35
Dairy: %10
Vegetables: %25

Answer choices:
A.450
B.350
C.630
D.270
(Please help!)

Answers

Answer:

C

Step-by-step explanation:

[tex]\frac{35}{100}*1800\\35*18\\[/tex]

630

The portion of protein will be 630.

What is pie chart?

The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems.

Given that a pie chart showing the distribution of the calories of 1800 in different nutrients, we need to find the portion of protein,

Here the portion of protein = 35%

So,

35 / 100 × 1800 = 630

Hence the portion of protein will be 630.

Learn more about pie chart click;

https://brainly.com/question/1109099

#SPJ2

Find the measure of a positive and a negative angle that are coterminal with each of the given angles:

Answers

Complete question is;

Find the measures of a positive angle and a negative angle that are co-terminal with each given angle.

8. θ = -25°

9. θ = -390°

Answer:

8) Negative coterminal angle = -385°

Positive coterminal angle = 335°

9) Negative coterminal angle = -750°

Positive coterminal angle = 330°

Step-by-step explanation:

For us to find a positive coterminal angle, we add 360° to the given angle. Whereas to find the negative coterminal angle, we subtract 360 from the given angle.

Thus;

8) for θ = -25° ;

Negative coterminal angle = -25° - 360° = -385°

Positive coterminal angle = -25° + 360° = 335°

9) For θ = -390° ;

Negative coterminal angle = -390 - 360 = -750°

Positive coterminal angle = -390 + 360 = -30°

Since it's negative, we add 360 again till it's positive.

Thus = -30° + 360 = 330°

What is the value of x?

Answers

9514 1404 393

Answer:

  98

Step-by-step explanation:

The angle bisector divides the triangle proportionally. This means ...

  VY/VT = KY/KT

  VY = VT(KY/KT)

  x = VY +KY = (KY(VT/KT) +KY) . . . . . use the expression for VY

  x = KY(VT/KT +1) . . . . . . . . . . . . . . . factor out KY

  x = (68)(57/129.2 +1) . . . . . . . . .. put in the numbers

  x = 98

Answer:

the answer is x=98

Step-by-step explanation:

:))))

At the beginning of school you set-up a 4 digit pin to get into your My Payments Plus
account, however you have not used your account since you set it up and forgot the
number. You remember that the first number was a 4 and the second number was
either a 5, 6, or 7. You had no idea what the last two numbers were.

How many
different combinations are possible?

900 combinations
200 combinations
300 combinations
1200 combinations

Answers

Answer:

Step-by-step explanation:

The first number is one choice: 1

the second number is one of 3: 3

The last 2 digits can each be any one of the 10 digits from 0 to 9: 10 * 10

3*100 = 300

Not too many, but it will take you awhile to run through them.

A box of dried fruit has 75 calories in 5 servings. How many calories are there per​ serving?

Answers

Answer:

There are 15 calories in one serving.

Step-by-step explanation:

To find out how many calories are in one serving, you simply have to divide the number of calories by the number of servings.

75 / 5 = 15

15 because 5 in each and 75 divided by 5 equals 15
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