A regular 2016-gon with all vertices on the unit circle is given. Find its perimeter, as a decimal to the nearest hundredth. (I have been stuck on this problem for half a hour I need help asap)

Answers

Answer 1

Answer:

6.28 units

Step-by-step explanation:

Interior angle opposite to each side of the polygon is:

(360/2016)°

Since the circle is unit circle, its radius is 1 unit.

Let the side is a, then as per definition of sine we have:

sin ((360/2016)/2) = (a/2)/1a = 2 sin (180/2016)°a = 0.00311665811

The perimeter is:

P = 2016a = 2016(0.00311665811) ≈ 6.28 units

Related Questions

The sum of three consecutive even numbers is 36. What is the smallest numbers ?

Answers

Answer:

The numbers are 11,12,13

The smallest number is 11

Step-by-step explanation:

Let the first number be x

The next number is x+1

The third number is x+2

x+x+1+x+2 = 36

Combine like terms

3x+3 = 36

Subtract 3 from each side

3x+3-3 = 36-3

3x=33

Divide each side by 3

3x/3 = 33/3

x=11

The numbers are 11,12,13

The smallest number is 11

I NEED HELP PLSSS GEOMETRY

Answers

Answer:

Its the first one (top left option)

Step-by-step explanation:

ur in a rush so i wont explain, pls give me brainliest

What number must each side of the equation 3/5x= 12 be multipled by to produce the equivalent equation x = 20?

Answers

Answer:

1

Step-by-step explanation:

First, find out what the product would be if you multiply 20 with the fraction:

(3 * 20)/5 = 60/5 = 12

12 = 12 ∴ (3/5)(20) = 12

As 20 is your answer, you would need to only multiply 1 to obtain the correct balance for the equation.

Written as a simplified polynomial in standard form, what is the result when
(2x + 7)2 is subtracted from 2X- 8?

Answers

[tex]2x-8 - (2x+7)^2\\\\=2x-8 -(4x^2 + 2\cdot 2x \cdot 7 + 7^2)\\\\=2x-8-(4x^2 + 28x +49)\\\\=2x - 8 -4x^2-28x -49\\\\=-4x^2 -26x -57\\\\[/tex]

Work out the area of the shaded shape 4m 9m 14m 8m

Answers

Answer:

76 m^2

Step-by-step explanation:

To find the area of the figure, you must divide the figure into multiple shapes. By dividing the figure into a 4 x 9 rectangle and a 5 x 8 rectangle, you can calculate the area of these two figures and add them together. After doing this, your answer should be 76 m^2.

Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.

4(y – 3) = __ - ___

SOMEONE HELP EXTREMELY QUICK PLSSS

Answers

4y, 12 your welcome

A TON OF POINTS AND BRAINLIEST IF ANSWERED CORRECTLY! I RLY NEED HELP PLZZZ ANSWER

Use the function f(x) = 2x^2 − 3x − 5 to answer the questions.

Part A: Completely factor f(x). (2 points)

Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)

Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)

Answers

Answer:

Step-by-step explanation:

For  

f(x) = 2x2-3x -5

For Part A

Set f(x) = 0

Factor the Quadratic

Set the factors = 0  

Solve each factor for x to find your x intercepts

For Part B

You need to use the coefficients in your Quadratic  

List them

a = 2 , b = -3 and c = -5

Since a is positive, your parabola opens up  

Find the x coordinate of the vertex it is -b/2a

One you get the x coordinate, plug it into to your Quadratic to get f(x) your y coordinate of the vertex

For Part C

You can plot the vertex, both x intercepts on a coordinate grid

what is most likely to be represented by the number -40

Answers

Answer:

You tell me the question properly and i will edit this and put answer

Step-by-step explanation:

Until then bye

Answer:

Read Explanation Below

Step-by-step explanation:

So... I didn't know what you were referencing nor did I see a paper, so I came up with a scenario that I thought would represent this number. (also, if you could send a picture so I know what you're referencing, that would be awesome)

1. When James took a nap at 3pm, he saw that the temperature outside was 70 degrees. However, when he woke up at 8pm, he checked the weather and it was 30 degrees. How much did the temperature change during his nap.  

Name.
Solve using
Substitution
L
y = 3x + 2
6x - 2y = 8

Answers

Answer:

No solution

Step-by-step explanation:

There is no solution to the system of equations y=3x+2 and 6x-2y=8, meaning that they are parallel to each other on a graph, with no points ever intersecting on each other's lines.

Write the equation for the function graphed below

Answers

Answer:

Step-by-step explanation:

looks to be a parabola, so use vertex mode (h, k) =  (-1, 2)

y = a(x - h)² + k

y = a(x + 1)² + 2

another point on the curve seems to be (1, 6)

6 = a(1 + 1)² + 2

     1 = a

y = (x + 1)² + 2

or expand for standard form y = ax² + bx + c

y = (x² + 2x + 1) + 2

y = x² + 2x + 3

What are the prime numbers out of 4 5 6 7 8 9 ?

Answers

5 and 7

those are the prime numbers

is 7 a solution to 21-w<14?
(please answer asap!)

Answers

Answer:

no

Step-by-step explanation:

well, is 21-7 < 14?

Math temperature question

Answers

Answer:

-10.9

Step-by-step explanation:

Add -20.4, -7.6, -15.8, -9.5, 4.2 and -16.3 to get -65.4.

Divide -65.4 by the count of the numbers. (6)

I think the answer is -10.9 if not I’m sorry good luck

pythagorean theorem to find the length of the hypotenuse in the triangle 16 30

Answers

Answer:

the answer is 34.

Step-by-step explanation:

A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?

Answers

Answer:

12

Step-by-step explanation:

Ella takes 1 3/5 hours to complete a
painting. Holly takes 3/4 of the time that
Ella takes. How long will Holly take to complete 5 paintings?

Answers

Answer:

6 hours

Step-by-step explanation:

FInding Holly's time of Ella's

Ella = [tex]1 \frac{3}{5}[/tex]

Holly = [tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]

Solve:

[tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]

[tex]= \frac{3}{4} \times1 \frac{3}{5}[/tex]

[tex]1\frac{3}{5} =\frac{8}{5}[/tex]

[tex]\frac{3}{4}\times \frac{8}{5}=\frac{24}{20}[/tex]

[tex]\frac{24}{20} =\frac{6}{5}[/tex]

Now, we can find how many hours it takes holly to complete 5 paintings:

[tex]\frac{6}{5}\times5[/tex]

[tex]=6[/tex]

Therefore, it will take Holly 6 hours to complete 5 paintings.


For what value of x does 32X – 9^3x-4?

Answers

Answer: X = 4/61

Step-by-step explanation

What is the exponential expression for the numerical expression 6·6·6·6·6? ​ 5·6^5​ 5^6. ​6^5. 30^5​



32 POINTS

Answers

The answer should be 6^5

Justin has ridden 34 miles of a bike course. The course is 40 miles long. What percentage of the course has Justin ridden so far?

Answers

Answer:

85%

Step-by-step explanation:

Justin has ridden 34 miles out of 40 miles. This can be expressed as a fraction, 34/40.

If you carry out the division 34 ÷ 40, you get 0.85. This is the proportion of the course that Justin has ridden, and is always less than one. To convert this to a percentage, you multiply it by 100:

0.85 * 100 = 85%

.. Write the number word of 0.036​???

Answers

Answer:

zero point zero three six

You are designing a new, larger coral reef habitat that will stun visitors with its size and vibrant colors. The tank requires special glass to protect this delicate environment. The glass costs $25,000 + a 10% engineering fee + a 5% shipping fee. The shipping fee is calculated on the cost of the glass plus engineering charges. What is the total cost of the glass, including fees?

Answers

Answer:

$28,875

Step-by-step explanation:

First, we would have to find 10% of $25,000

10% of $25,000 = $2,500

Now, we have to add the 2 values together

$25,000 + $2,500 = $27,500

Now, we can find the shipping fee, since it includes the engineering fee

5% of $27,500 = $1,375

Now, we can add the shipping fee to find the total

$27,500 + $1,375 = $28,875

most of the mathematical symbols were not invented until 16th century, before that how equations were written?

Answers

Answer:

During the 16th and early 17th Century, the equals, multiplication, division, radical (root), decimal and inequality symbols were gradually introduced and standardized. ... In the Renaissance Italy of the early 16th Century, Bologna University in particular was famed for its intense public mathematics

Prior to the invention of the Mathematical Symbols, mathematical equations were written in words.

For example, Y + 10 = 4.5 would be written as

The thing plus ten equal to eight.

It is true that MOST, that is, the majority of the mathematical symbols we have today were invented in the 16th century. Examples of such symbols are:

Multiplication Sign ×  (1618)Plus/Minus Sign ±  (1628)Inequality Signs > and < (1631)Percentage Sign % (1650)Infinity Sign ∞ (1655)Division Sign ÷  (1659) to mention a few.

Prior to the 16th century, some mathematical signs were already in use. They are:

Plus Sign   +   (1360)Minus Sign - (1489)Square Root Sign (1525)Equals Sign = (1557) to mention a few.

See the link below for more about Mathematical Signs:

https://brainly.com/question/11855662

Mandy has 37 red markers and 24 green markers. She wants to place an equal number of markers on 4 tables. What is the greatest number of markers she could place on each table ? Explain please

Answers

Answer:

15 marker's

Step-by-step explanation:

37+24=61

61÷4=15.25

because she wants an even number of makers the answer is 15.

Write the slope intercept equation of the line that passes through (2,5) and (-1,3)​

Answers

Answer:

y=2/3x+11/3

Step-by-step explanation:

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

m=(3-5)/(-1-2)

m=-2/-3

m=2/3

y-y1=m(x-x1)

y-5=2/3(x-2)

y=2/3x-4/3+5

y=2/3x-4/3+15/3

y=2/3x+11/3

PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 3

Answers

Problem 1

Answer: Choice A

[tex]f(n) = 59,000\left(1.08^{n-1}\right)[/tex]

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

Explanation:

The right hand side for choice A is in the form [tex]a(r)^{n-1}[/tex] which is the nth term of a geometric sequence.

a = first term = 59,000 = starting salaryr = common ratio = 1.08 = tells us how the salary increases year to year

The 1.08 represents an increase of 8% because,

1.08 = 1 + 0.08 = 100% + 8% = 108%

=======================================================

Problem 2

Answer: Choice C

[tex]\frac{(y-60)^2}{144} + \frac{x^2}{100} = 1[/tex]

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

Explanation:

The ellipse is 20 inches wide, which cuts in half to 10 inches. This is the corresponding value plugged into the denominator of the 'x' fraction, as x deals with the horizontal component. So we'll have a^2 = 10^2 = 100 in the denominator under the x term. Only choice C has this, so this is the answer we go for. For the vertical component, we cut 24 in half to get 12, then square it to get 144, which explains the denominator for the y term.

=======================================================

Problem 3

Answer: Choice C

30 feet; major axis

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

Explanation:

Pick the larger denominator 225. Apply the square root to get 15. Then double this value to land on 30. This is the length of the major axis which is the longer axis through the center of the ellipse. The major axis also passes through both foci.

Let's say points P and Q are any two random points on the ellipse. The longest segment PQ can get is 30 feet.

A train travels 150 miles in three hours at the same rate how many miles will it travel in eight hours

Answers

Answer:400

Step-by-step explanation:

150 / 3 = 50 so 50 x 8= 400

Line’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?

Answers

Answer:

hi the answer to your question should be 50 miles

Step-by-step explanation:

hope this helps have a great day!

How much would you have to deposit today to have an accumulated amount 20,000 in 20 years if yearly interest is 4.75% compounded continuously?

Answers

The principal investment required to get a total amount of $20,000.00 from compound interest at a rate of 4.75% per year compounded 12 times per year over 20 years is $7,749.34

Given data

Principal =?

Final amount = $20,000

rate = 4.75%

Time = 20 years

First, convert R as a percent to r as a decimal

r = R/100

r = 4.75/100

r = 0.0475 per year,

Then, solve the equation for P

P = A / (1 + r/n)^(nt)

P = 20,000.00 / (1 + 0.0475/12)^(12)(20)

P = 20,000.00 / (1 + 0.003958333)^(240)

P = $7,749.34

Learn more about Compounding interest at:

https://brainly.com/question/1570054

eric scored 5 more than twice the points that josh did they scored 134 points together what is erics score

Answers

Answer:

I believe it'd 69.5

Step-by-step explanation:

if u use the equation 2x+5=134, you get 64.5 for Josh and 69.5 for eric

What is the volume if a cylinder with height 13 and radius 6?

Answers

Volume of the cylinder ≈ 1470.27
Other Questions
Reference frame definitely changes when also changes What happens if cocoon is not boiled? In class we watched a case study of a young girl named Genie who was isolated and severely abused. Because her parents never communicated with her in words, Genie lacked exposure to language during her early childhood years. Although she was able to make some language advances while in extensive rehabilitation, as an adult Genie still speaks in short mangled two- or three-word sentences. This case study suggests that language development _____. Find the length of x. Assume the triangles are similar.A. 2.5B. 4.4C. 4.0D. 3.5 Consider a laminar forced flow inside a pipe with constant wall temperature, the heat flux will have a higher value near the ____________ of the pipe. what is x increased by 10 divided by 4 as an expression?please help need answer, I ask you don't answer if you don't know the answer, thank you! 1. Why should you plan for retirement now?2. What are 2 different ways that you can save for retirement and what are the benefits of these methods?3. Why is it important to make sure your retirement account has compounded interest?4. What is one example of something you could do in the next 5 years to start saving for retirement?5. What advice you would give to a friend or family member who is thinking of retiring soon? (Right answer only please) :) Question 3: Functional GroupsIdentify the type of molecule from the name of the molecule. Los das de la semanal El mes: enero/ El ao: 2018 Mi S D L 25 M 26 J 28 V 29 27 30 31 8:00 a.m.-9:00 a.m. espaol lgebra tenis lgebra tenis espaol espaol 9:00 a.m.-10:10 a.m. educacin fsica biologa educacin fsica biologa educacin fsica 10:10 a.m.-11:20 a.m. francs golf francs golf clculo 11:20 a.m.-12:20 p.m. el almuerzo > 12:30 p.m.-1:30 p.m. mandarn clculo mandarin ingls ingls 1:30 p.m.-2:20 p.m. geometra italiano clculo geometra italiano ftbol ftbol 2:20 p.m.-3:20 p.m. italiano qumica japons qumica mandarin Qu da es la clase de ftbol el da treinta? El Sbado, enero 20 de 2018 O El sbado, 30 de enero de 2018 Join O El Domingo, 30 de 2018, Enero El domingo de 2018, 20 de Enero the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle. Write down the nth term of the following sequence the following pattern are made using small squares Decentralization in india ensures more and effective participation of the people in decision making process. Comment Economists predict that Americans will spend $1,180 on electonics in2020. this is a 6.8% increase from last year. What did Americans spendlast year? The triangle below is isosceles. Find the length of side x in simplest radical form witha rational denominator.V10Answer: 2==Submit Answer A giant pie is created in an attempt to break a world record for baking. The pie is shown below:What is the area of the slice of pie that was cut, rounded to the nearest hundredth? A chair of weight 85.0 N lies atop a horizontal floor; the floor is not frictionless. You push on the chair with a force of F = 40.0 N directed at an angle of 35.0deg below the horizontal and the chair slides along the floor.Using Newton's laws, calculate n, the magnitude of the normal force that the floor exerts on the chair. Which of the following best describes sleep-driving Select all of the following that are considered essential nutrients.O waterO vitaminsO mineralsO proteinsO calorieso carbohydratesO fats Dobles Corporation has provided the following data from its activity-based costing system:Activity Cost Pool Total Cost Total ActivityAssembly $228,060 18,000 mahcine hoursProcessing orders $34,068 1200 ordersInspection $125560 1720 inspection hoursThe company makes 420 units of product D28K a year, requiring a total of 460 machine-hours, 80 orders, and 10 inspection-hours per year. The product's direct materials cost is $48.96 per unit and its direct labor cost is $25.36 per unit.According to the activity-based costing system, the unit product cost of product D28K is closest to: a. $95.34 per unitb. $93.60 per unitc. $74.32 per unitd. $89.93 per unit Find X please 15 POINTS WORTH