Which of the following regular polygons circumscribed about a circle provides the best estimate for the area of that circle?

dodecagon
decagon
20-gon
11-gon

Answers

Answer 1

Answer:

The correct option is;

20-gon

Step-by-step explanation:

The area, A, of a regular polygon is given as follows;

[tex]A = \dfrac{n \times s \times a}{2} = \dfrac{P_p \times a}{2}[/tex]

Where;

n = The number of sides

s = The length of one side of the polygon

a = The apothem

[tex]P_p[/tex] = The perimeter of the polygon

Where

The area of a circle, A[tex]_c[/tex] = π×r² = π × r × r = 2× π × r × r/2 = P/2 × r

Given that the apothem, a, of a 20-gon circumscribed about a circle is approximately the length of the radius of the circle, and the perimeter of the 20-gon is approximately the perimeter (circumference) of the circle, the area of the 20-gon circumscribed about a circle provides the best estimate for the area of the circle.


Related Questions

What is 67 1/2 as a fraction

Answers

Answer:

67.5

Step-by-step explanation:

you turn your fraction into a decimal and to find the decimal you take the number and put it out of 100 such as 1/2 is 50/100 therefore meaning you get .50

67 1/2 in fraction form is 135/2 .

Given,

67 1/2 in mixed fraction .

Now to convert mixed fraction to simple fraction follow the following steps,

Multiply the whole number and denominator of the fraction . After that add numerator part to the result of multiplication . Fraction will be formed by keeping the denominator same,

Thus the resultant will be,

67*2 = 134

134 + 1 = 135

Hence the fraction part is :

135/2.

Know more about fractions,

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A rectangle is enlarged by a factor of 6.

A rectangle with an area of 20 inches squared.

What is the area of the enlarged rectangle?
120 in.²
720 in.²
2,400 in.²
14,400 in.²

Answers

Answer:

[tex]120in.^{2}[/tex]

To find the enlarged value, you have to multiply.

So, let's multiply 20 by 6, since it was enlarged by 6.

20 x 6 = 120.

So, the answer to the question is 120in.

Hope this helps you!

Answer:

Multiply 20 by 6 and then find the square of your answer

20×6=120

120^2= 14400

yo help plz ill give branliest

Answers

Answer:

did you get it ?

Step-by-step explanation:

Writewrite an equation of the line passing through the point p (-2, 6) that is parallel to the line x= -5.​

Answers

Answer:

Since the slope of the line x= - 5 is infinite

The line will be parallel to y axis.

And the line passes through - 2, so the equation will become x= -2

I neeeeed help
Two college friends rent an apartment. They have to pay the landlord two​ months' rent​ (m) and a​ $500 security deposit when they sign the lease. The total amounty they pay the landlord is​ $2800. Create an equation which will determine the amount of money owed for rent for one month​ (m).

Answers

Answer:

The renters have to pay 1.5 months rent before moving in (first month plus security deposit) so we can write the following equation to represent the situation:

1.5

m

=

1725

where

m

is the amount of one month's rent.

Using algebra

1.5

m

1.5

=

1725

1.5

1.5

m

1.5

=

1150

m

=

1150

The monthly rent is $1,150.

Step-by-step explanation:

Answer:

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ir x+2 has a value of 5. then which of the following is the value of x(x+2)+3(x+2)? Show the work
that leads to your answer.
(1) 30
(3) 15
(2) 25
(4) 10

we are using binomials

Answers

Answer:the answer is 1)30

Step-by-step explanation:

20
22
89
___*_ what is 20 times 22 times 89

Answers

Answer:

39,160

Step-by-step explanation:

20x22=440 x89=39,160

Given:
b (x) = x2+7x
Find
B(7)

Answers

Answer:

Step-by-step explanation:

b(7) = 7^2 + 7(7)

B(7) = 49 + 49

B(7) = 98

if you answer this question your cool

Answers

Answer:

D. 40

Step-by-step explanation:

Triangles add up to 180 degrees so...

110 + 30 + x = 180

140 + x = 180

x = 40

Yeah Ik!

You're cool too!

slope=?

please help

Answers

Answer: It's 4

Step-by-step explanation: 12-8 is 4, 4-3 is 1

can someone help me to solve this question? ​

Answers

Answer :

Width : 9

length: 3.6

The perimeter will be 25.2

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

Show your work : Since the length and width are 3 times bigger have to multiply the old one by 3

so 1.2  times 3 = 3.6

so 3 times 3 = 9

thats the length

to find the perimeter its 2L + 2W

2(3.6) + 2(9)=25.2

The engine of a car has a displacement of 307 cubic inches. What is the displacement in cubic feet? Round your answer to 2 decimal places.

Answers

Answer:

5.03 L

Step-by-step explanation:

we know that 1 inch = 2.54 centimeters

 (1 inch)3 = (2.54 cm)3

1 in3 = 16.387 cm3

 

therefore

volume in cm^3 = (volume in in3) x (16.387 cm3/1 in3)

volume in cm3 = (307x 16.387) cm^3

volume in cm3 = 5030.809cm^3

let us convert to liters.

we know that

1 L = 1,000 cm3

 

volume in L = (volume in cm3) x (1 L/1,000 cm3)

volume in L = (5030.809/1,000) L

volume in L = 5.03 L

307 cubic inche engine displaces 5.03 L

How much interest would $1,000,000 earn at 2% compound daily, in one day?

Answers

Answer:

$54.79 is the answer

Step-by-step explanation:

expression is equivalent to
14

17

Answers

Answer:

14/17

Step-by-step explanation:

14/17 as a fraction can't be simplified. 17 is a prime number, so it can't be divided by anything except 1.

If the question you're asking is 14-17, the answer would be -3...

I hope this helped you out!! Have an awesome day C:

Step-by-step explanation:

if you are subtracting it is -3

if you are dividing it is 0.823

if you are looking for an equivalent fraction it is 28/34

The United States Capitol is

located at (2, 4) on a coordinate grid. The White

House is located at (-10, 16) on the same coordinate

grid. Find two different points on a segment joining

the United States Capital and the White House such

that the ratio of the two shorter segments created by

each point is 1:3.

Answers

Answer:

The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].

Step-by-step explanation:

At first we need to calculate the vector distance between [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex] by following vectorial subtraction:

[tex]\overrightarrow{AB} = \vec B - \vec A[/tex] (Eq. 1)

Where:

[tex]\overrightarrow{AB}[/tex] - Vector distance between points A and B, dimensionless.

[tex]\vec A[/tex], [tex]\vec B[/tex] - Vector distance between each point and origin, dimensionless.

If we know that [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex], then we have the following result:

[tex]\overrightarrow {AB} = (-10,16)-(2,4)[/tex]

[tex]\overrightarrow{AB} = (-10-2,16-4)[/tex]

[tex]\overrightarrow{AB} = (-12,12)[/tex]

Besides, we can find the location of any point inside the line segment by using the following vectorial equation:

[tex]\vec C = \vec A + r\cdot \overrightarrow{AB}[/tex] (Eq. 2)

Where:

[tex]r[/tex] - Segment factor, dimensionless.

[tex]\vec C[/tex] - Location of resulting point, dimensionless.

There are two different options for the location of resulting point: [tex]r_{1} = \frac{1}{4}[/tex] and [tex]r_{2} = \frac{3}{4}[/tex]. Now we proceed to find each option:

[tex]r_{1} = \frac{1}{4}[/tex]

[tex]\vec C_{1} = (2,4) +\frac{1}{4}\cdot (-12,12)[/tex]

[tex]\vec C_{1} = (2,4)+(-3,3)[/tex]

[tex]\vec C_{1} =(-1,7)[/tex]

[tex]r_{2} = \frac{3}{4}[/tex]

[tex]\vec C_{2} = (2,4) +\frac{3}{4}\cdot (-12,12)[/tex]

[tex]\vec C_{2} = (2,4) +(-9,9)[/tex]

[tex]\vec C_{2} = (-7,13)[/tex]

The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].

Meryl needs to cut down 10.5 trees for every 5 cabins she builds.

Answers

Answer:

6.3, 14.7

Step-by-step explanation:

10.5 tress for 5 cabins, using 10.5/5 (2.1) we can assume there is 2.1 trees per cabin.

3*2.1= 6.3

7*2.1=14.7

Answer:

the answers are 6.3 and 14.7. Put the 6.3 beside the 3 in the table and put the 14.7 beside the 7 or it'll be counted as incorrect.

2(6+y) of the expression

Answers

Answer:

12+y

Step-by-step explanation:

12y

Step-by-step explanation:

2 multiplied by all the products in the bracket


Needed before 12:00pm tomorrow afternoon


What's the difference between how we find the sale price of discounts and how we find the total price of tax, tips, and mark ups?

Answers

To find the actual discount, multiply the discount rate by the original amount 'x'. To find the sale price, subtract the actual discount from the original amount 'x' and equate this to given sale price.

What is times plus 4

Answers

Answer:

you forgot the number before times

Step-by-step explanation:

According to the exponent rules, when we multiply powers with the same base

Answers

Answer:

Only move the negative exponents. Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers. , this says that to divide two exponents with the same base, you keep the base and subtract the powers.

If x is 6, then 7x =

Answers

42... by understanding that x is equal to 6, you set the problem up as 7(6) or 7x6 which equals 42. Hope this helps!

Answer:42

Step-by-step explanation: You have to multiply 7 per 6 and so the result will be 42.

please quickly

4(1-x)+2x=-3(x+1)

Answers

X = -7 you can just look this up too

Answer:  x = −7

Step-by-step explanation:

Write a linear function in slope intercept form given the slope of the equation is -4 and the y intercept is 6.

Answers

Answer:

6=-4x+b

Step-by-step explanation:

You plug in the numbers but the formula that you use is y=mx+b with x being the number you don't know

Could you help me with these?

Answers

Step-by-step explanation:

Molly should have multiplied three first so that it would have been

x + 6 + 3x + 12

4x + 18

Dylan did not add x to 5x

it should have been

6x - 12

Jose did not multiply 7 and -5

it should have been

x + 3 + 7x - 35

8x - 32

Select the correct answer.
The formula for the voltage, V, of an electrical current is V = VPR, where Pis the power measured in watts and Ris the resistance measured
In ohms.
A toy train with a resistance of 10 ohms is powered by four 1.5-volt batteries. What is the power of the toy train?
OA. 0.225 watts
OB. 0.60 watts
Ос.
3.6 watts
OD
16.7 watts

Answers

I don't know the correct answer but I know its not 0.60 watts

Answer:

it is 3.6 watts

Step-by-step explanation:

there is no explanation but if needed proof i will try to post a picture of it

convert 8o liters to gallons. round answer to the nearest tenth.

Answers

Hello there! Your correct answer would be 21 gallons.

When you convert 80 liters to gallons.. It would be 21 gallons.

In a short answer... You could use google or your notes. I prefer your notes, as that'll help you much more than google.  

✨ There is your answer, have a nice day! ✨

(Kinda figured you meant "80")

⌨ Please give me brainlest!! ⌨

Is (0, 3) a solution to the inequality y > 2x + 3?

Answers

Answer:

Step-by-step explanation:

your 6 1/4 - year investment of 40,000 at 14% compounded quarterly is worth how much now?​

Answers

Answer:

The investment of $40,000 is worth $94,529.80 now

Step-by-step explanation:

Compound Interest

It occurs when the interest is reinvested along with the principal, rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.

To calculate the final amount we use:

[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

The investment is for t=6 1/4 years = 6.25 years with an initial balance of P=40,000 at a rate r=14% = 0.14 compounded quarterly. Since there are 4 quarters per year, then n=4.

Applying the formula:

[tex]{\displaystyle A=40,000\left(1+{\frac {0.14}{4}}\right)^{4*6.25}}[/tex]

[tex]{\displaystyle A=40,000\left(1+0.035\right)^{25}}[/tex]

A=$94,529.80

The investment of $40,000 is worth $94,529.80 now

I’ll mark brainliest this is 10 points!!!

Question: If p and q are integers, then all of these quotients are equivalent, except....?

Answers

Answer:

C

Step-by-step explanation:

We can fill in the negative in front of the parenthesis with a one. So you'd be multiplying -1 by your negative fraction. A negative times a negative makes a positive. So that would be the only answer that's a positive.

Arisia puts $500.00 into a savings account with an annual simple interest rate of 4.5%.
Part A
How much interest does she earn per year?

Answers

Answer:

$22.50

Step-by-step explanation:

$500.00 × 0.045=22.50

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