Find the area of the regular hexagon if the radius of a circle inscribed in the hexagon is 10√3
meters.

Find The Area Of The Regular Hexagon If The Radius Of A Circle Inscribed In The Hexagon Is 103 Meters.

Answers

Answer 1

Answer:

D. 600√3  

Step-by-step explanation:

Refer to your previous question:

https://brainly.com/question/22624022

Radius of the inscribed circle is the apothem of the hexagon.

Apothem (a) and half of the side (s) make a 30-60-90 right triangle.

The ratio of the legs, as per property of 30-60-90 triangle:

s : a = 1 : √3 ⇒ s : 10√3 = 1 : √3 ⇒ s = 10

Half the side is s = 10 units, then side of the hexagon is 20 units.

The area of the hexagon:

A = 1/2Pa, P- perimeter, a- apothem A = 1/2(6*20)*(10√3) = 600√3

Correct choice is D

Find The Area Of The Regular Hexagon If The Radius Of A Circle Inscribed In The Hexagon Is 103 Meters.

Related Questions

can u help me find the surface area for my work

Answers

Answer:

258

Step-by-step explanation:

There is a triangle and a parallelogram.

The triangle's area: 1/2 bh is 30

The parallelogram bh is 12*19

add them up and it is 258.

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Thanks!

Answer:

744; 1,206

Step-by-step explanation:

Prism 1:

2(19*13) + 5*12 + 2(5*19)

Multiply all the sides.

494 + 60 + 190 = 744

Prism 2:

2(20*9) + 2(18*20) + 9*14

360 + 720 + 126 = 1,206

Hope this helps (:

Rewrite the sum of 30 and 42 by factoring out of the greatest common factor

Answers

Answer:

12

Step-by-step explanation:

Factors of 30: 1,2,3,5,(6),10,15,30

Factors of 42: 1,2,3,(6),7,14,21,42

30 divided by 6, 42 divided by 6

(5) + (7)= 12

help me, please answer this question

Answers

Answer:

[tex]x = 9[/tex]

[tex]y = 17[/tex]

Step-by-step explanation:

This is a cyclic quadralterial so opposite angles are supplementary.

The x variables add up to 180 so

[tex]11x + 8 + 8x + 1 = 180[/tex]

[tex]19x + 9 = 180[/tex]

[tex]19x = 171[/tex]

[tex]x = 9[/tex]

The y variables add up to 180.

[tex]6y - 4 + 5y - 3 = 180[/tex]

[tex]11y - 7 = 180[/tex]

[tex]11y = 187[/tex]

[tex]y = 17[/tex]

Evaluate the exponential expression. 14^2​

Answers

Answer:196

Step-by-step explanation:

Answer:

196

Step-by-step explanation:

Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor. So in the case of 32, it can be written as 2 × 2 × 2 × 2 × 2=25, where 2 is the “base” and 5 is the “exponent”. We read this expression as “two to the fifth power”.

What is the y-intercept of the line?

A: -2
B: 0
C: 1
D: 1/2

Answers

Answer:

C: 1

this answer is c because the line is one the Y intercept of 1

Independent Practice


Which property justifies the step shown in solving this equation?
− y−5=11
−y−5+5=11+5


A.
Multiplication Property of Equality


B.
Addition Property of Equality


C.
Division Property of Equality


D.
Subtraction Property of Equality

Answers

B. Addition Property of Equality

Answer:

i dont know

Step-by-step explanation:

Can someone help me please

Answers

Answer:

to find how many sales Ross made in a day divide 27 by 3 and to find Mona's divide 49 by 7 since there is 7 days in a week

Step-by-step explanation:

27/3 = 9 so Ross made 9 sales in a day

49/7 = 7 so Mona made 7 sales in a day

9>7

therefore Ross made more sales

Which number line represents the solutions to 1-2x1 = 4?
+
4
-10-8-6-4-20
2
6
8
10
f
+ +
-10 -8 -6 -4 -2 0
+
6
+
8
2
4
10
+
O Att
-10-8-6-4-20
+
6
2
4
8
10
+
-10 -8 -6 -4 -2
+
2
+
4
O
6
8.
10

Answers

Answer:

The third number line where x = -2, 2

Step-by-step explanation:

The solution is, the number line represents the solutions is given below.

here, we have,

given equation is,

25x + 200 > 1,200

Subtract 200 from each side

25x + 200-200 > 1,200-200

25x> 1000

Divide by 25

25x/25 >1000/25

x>40

To learn more on number line click:

brainly.com/question/29162579

#SPJ7

A health club manager wants to determine whether the members would prefer a new sauna or a new steam room. The club surveys 50 of its 600 members. What is the population of this study? The population is all 50 members of the health club. The population is all 600 and 50 members of the health club. The population is all 600 members of the health club. The population is all 30,000 members of the health club.

Answers

Answer:

The population is all 600 members of the health club

Explanation:

50 members were chosen out of all 600 members thereby telling us that the sample of the study/survey is 50 members while the population is all 600 members. A sample represents the population and is collected from the population to make it less tedious to study and make conclusions on the population. For example, given that the population of a study are individuals or objects of common characteristics, 50 members tell the needed story and relays the characteristics and/or definition of the whole population, thereby forming a basis to make a conclusion on the population.

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HELP I NEED HELP ASAP

Answers

Answer:

the answer would be A because that makes a straight line.

What is the difference between the amounts of interest Henry and Ingrid paid for their loans

Answers

Answer:

When you buy more expensive items or buildings it will raise your intrest so thats the difference look in between the two.

Step-by-step explanation:

Good luck on the rest of the quiz

a. The ratio of pages read by Liam to
pages read by Amir is 1:5. If Liam read
12 pages, how many pages did Amir
read? Explain your reasoning.
ANSWER QUiCK PLZZ NO WEBSITE

Answers

Step-by-step explanation:

For every page that Liam reads, Amir reads five, so if Liam read 12 pages, then Amir read 12 * 5 = 60 pages

Someone please help! ​

Answers

Given:

[tex](\sin x)^2+(\cos x)^2=1[/tex]

[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]

To find:

The value of [tex]\sin \theta[/tex].

Solution:

We have,

[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]

Putting this value in the Pythagorean identity, we get

[tex](\sin \theta)^2+(\cos \theta)^2=1[/tex]

[tex](\sin \theta)^2+\left(\dfrac{4\sqrt{2}}{7}\right)^2=1[/tex]

[tex](\sin \theta)^2+\dfrac{16(2)}{49}=1[/tex]

[tex](\sin \theta)^2+\dfrac{32}{49}=1[/tex]

[tex](\sin \theta)^2=1-\dfrac{32}{49}[/tex]

[tex](\sin \theta)^2=\dfrac{49-32}{49}[/tex]

[tex](\sin \theta)^2=\dfrac{17}{49}[/tex]

Taking square root on both sides, we get

[tex]\sin \theta=\pm \sqrt{\dfrac{17}{49}}[/tex]

[tex]\sin \theta=\pm \dfrac{\sqrt{17}}{7}[/tex]

The given value of [tex]\sin \theta[/tex] is positive. So, [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].

Therefore, the value of value [tex]\sin \theta[/tex] is [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].

As the economic prosperity of the 1990s decreased, what changes would one expect in the design of houses?

Answers

Answer:

immagrants would start to make houses out of stone sticks and hay

Step-by-step explanation:

pls mark brainlyest

Answer:

They don't like the look or it doesn't fit the style of their home. I could argue back and say that if they at least look at all the options, they might change their mind. Also, people are making new Eco-friendly products that might fit their house style every day

Step-by-step explanation:

It is given that yvaries directly as x. If y= 5 when x= 4 determine the constant of variation,

Answers

Answer:

[tex]k=\dfrac{5}{4}[/tex]

Step-by-step explanation:

Given that,

y varies directly as x. It means,

y = kx

Where

k is the constant of variation

or

[tex]k=\dfrac{y}{x}\\\\k=\dfrac{5}{4}[/tex]

So, the constant of variation is [tex]\dfrac{5}{4}[/tex].

If I have the coordinats (4, 3) and (2, 2) what is distance do we get

Answers

Answer:

※※※※※※※※※※※※※※※※※

Hi! The answer to your question is [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Use the Distance Formula to determine the distance between two points.

- Brooklynn Deka

❣❣

PLEASE HELP ME ITS MY LAST QUESTION!!

Write three very large numbers and three very small numbers. Now write them using scientific notation. Then
perform one calculation with the numbers.

Answers

100 = 10^2

1000 = 10^3

10000 = 10^4

0.1 = 10^(-1)

0.01 = 10^(-2)

0.001 = 10^(-3)

Now,

100 × 0.1 = 10^2 × 10^(-1)

= 10

Help me pleaseee i need helpppp fast!!

Answers

Answer:

Awnser #3

Step-by-step explanation:

Justr did it

would n-3/n+3 cancel out?

Answers

Answer:

Let's work this out.

n - 3 / n + 3

n / n + 6

In order to avoid it cancelling out, we only cancelled out one side.

2n = 6

n = 3

They wouldn’t cancel out you can cancel out the n so there for n= 3

3/4 years equal how many months

Answers

Answer:

9

Step-by-step explanation:

I will mark you brainiest if you can answer this

Answers

Answer:

9 buses

12 cars

(Step-by-step explanation:

x=bus x+y=21 --> y=-x+21

30x+4y=318 --> y= -30x/4 + 318/4

y=car

x= 9

y=12

:) hope this help

Erin has $52 to spend at the florist. She wants to buy a vase for $11.75 and several roses for $3.50 each. What are the possible numbers of roses Erin can buy?
____+____ r__52
r __ ____
Erin can buy up to ___ Roses
What properties did you use to solve the inequality?

Answers

Answer:

she can get 11.5 but you have to round down so 11 roses and the vase

Step-by-step explanation:

plss help i’ll give brainliest thank you!

Answers

Answer:

D

Step-by-step explanation:

As,

-10 is always greater than -13

Hence, -13 < -10

the last one. with negatives, the lowest is always a larger number because it’s closest to zero.

If x=1/2 and y=6x, what is the value of 8x/2y

Answers

Answer:

x = 1/2 and y=6x, so 8x/2y = 8(1/2)/2(6*1/2) = 4/6 = 2/3

Step-by-step explanation:

3x

Use substitution
8 (1/2)
———-
2 (6x)

= 4
——-
12x

=1/3x

Help asap for brianlist

Answers

Answer:

⅔ (option two)

Explanation:

on a cube numbered 1 to 6, only four numbers (1, 2, 3 and 4) are smaller than 5. there is an equal chance of you rolling any side on the dice, so your chances of rolling one of those four numbers would be 4/6, which can be simplified to ⅔.

i hope this helps! :D

What is the y-intercept of the graph of y = 2.5*?

Answers

I’m so sorry if I get this wrong but if the equation is y=2.5, than the y intercept is just 0 because it would be mentioned in the equation. For example, if the equation was y=2.5+5, then the answer would be 5


So once again the answer I believe is 0

When working with positive and negative numbers, the further left you move on the number line, the________the numbers are and the further right you move on the number line, the_________ the numbers are.


fill in the blanks please

Answers

The further left a number is the less it is
The further right a number is the greater it is

Please help I’m in the middle of a math test and I’m very confused

Answers

Answer:

2

Step-by-step explanation:

in my opinion with out (0,0) there is no others

20% of 49 is?
NEED HELP

Answers

Answer:

Step-by-step explanation:

20% of 49 = [tex]\frac{20}{100}*49=0.2*49=9.8[/tex]

The base of a rectangular prism has an area of 18.25 inches² and the height of the prism is 4.5 inches. What is the volume of the prism?​

Answers

Answer:

1498.78125 i used calculator

Step-by-step explanation:

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