8-50. What is the area of a regular decagon if the length of each side is 20 units? Show all your work.

Answers

Answer 1

Answer:

3077.68

Step-by-step explanation:

the Area of the regular decagon is 3077.68

Answer 2

The area of the decagon with side length of 20 units is -

A = 1000√(5 + 2√5) square units.

What is Area?

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write area -

V = ∫∫F(x, y) dx dy

Given is a regular decagon with length of each side is 20 units

The area of the regular decagon is -

A = (5/2)a²√(5 + 2√5)

We have {a} = 20. So, we can write that -

A = (5/2)(20)²√(5 + 2√5)

A = (5/2) x 400 x √(5 + 2√5)

A = 5 x 200 x √(5 + 2√5)

A = 1000√(5 + 2√5)

Therefore, the area of the decagon with side length of 20 units is -

A = 1000√(5 + 2√5) square units.

To solve more questions on areas, visit the link-

https://brainly.com/question/29213222

#SPJ2


Related Questions

Substitution method please help :3

Answers

Answer:

3x = 14

Step-by-step explanation:

Add the two equations.

5x + (-2x) = 3x

(-y) + y = 0

6 + 8 = 14

3x = 14.

Step-by-step explanation:

5x - y = 6 and -2x + y = 8

1/ 5x - y = 6

=> y = 5x - 6

2/ -2x + y = 8

Substitute 1/ into 2/ we will have:

-2x + (5x - 6) = 8

=> -2x + 5x - 6 = 8

=> 3x = 14

=> x = [tex]\frac{14}{3}[/tex] <=> y = [tex]\frac{52}{3}[/tex]

- However, the question asked for the final equation when adding 5x - y = 6 and -2x + y = 8 => The correct answer will be: 3x = 14

NO FAKE ANSWERS PLEASE IM BEGGING YOU 40 POINTS!!!!!! PLEEASEEEE HELP!!!!!!!!!!!!!! I already solved half of it pls help on part 4 and down.
YOUR ASSIGNMENT: Desert Temperatures


In this assignment, you may work alone, with a partner, or in a small group. Discuss the results of your work and/or any lingering questions with your teacher.
Temperature in the desert can be modeled by the function C(t), where t represents hours after midnight (0 ≤ t ≤ 24), and C is the temperature measured in degrees Celsius. Examine what happens to the graph when you transform the function to degrees Fahrenheit.
Circle the desert you picked:



Sahara Desert
Patagonian Desert
Death Valley California(I choose this one)


Exploring Degrees Celsius
1. Fill out the following chart to find the temperatures for t = 12 (noon) and t = 24 (midnight). (2 points: 1 point for each row)
t
C(t) = –0.30(t – 12)2 + 40
0

12
C(t) = -0.30 (12 - 12)² + 40
C(t) = -0.30 (0)² + 40
C(t) = 40


24
C(t) = -0.30 (24 - 12)² + 40
C(t) = -0.30 (12)² + 40
C(t) = -0.30 × 144 + 40
C(t) = - 43.2 + 40
C(t) = -3.2






2. Plot the three points from the chart onto the graph below. Use the plotted points to sketch the graph of C(t) = –0.30(t – 12)2 + 40. (3 points: 2 points for correct coordinates, 1 point for correct shape)

Convert the Function to Degrees Fahrenheit:
3. Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)? (2 points: 1 point for each transformation)
Note: The conversion rule for Celsius to Fahrenheit is .
F(t)=9/5{–0.30 (t – 12)² + 40}+32
F(t) = -0.54 (t – 12)² + 72 + 32
F(t) = -0.54 (t – 12)² + 104





4. Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit. Follow the example below, and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24. (2 points: 1 point for each row)
t

0

12








24









5. Use the conversion formula to write the equation for the new function, F(t).
(4 points: 2 points for setting up the equation, 2 points for the answer)
Hint: Substitute the equation for C(t) into .












6. Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted points to sketch out the graph of F(t). (3 points: 2 points for correct coordinates, 1 point for correct shape)

7. Compare the graph in question 6 (F(t)) with the graph in question 2 (C(t)). What changes were made to the graph of C(t) to transform it to F(t)? (1 point)

Answers

Answer:

    Part 1

Given equation:

C(t) = -0.30 (t – 12)² + 40  

For t = 0

C(t) = -0.30 (0 - 12)² + 40

C(t) = -0.30 (-12)² + 40

C(t) = -3.2

For t = 12 (noon)

C(t) = -0.30 (12 - 12)² + 40

C(t) = -0.30 (0)² + 40

C(t) = 40

For t = 24 (midnight)

C(t) = -0.30 (24 - 12)² + 40

C(t) = -0.30 (12)² + 40

C(t) = -0.30 × 144 + 40

C(t) = - 43.2 + 40

C(t) = -3.2

Part 2

attached below

Part 3

C(t) = –0.30(t – 12)² + 40

F(t)=9/5C(t)+32

Substituting the values:

F(t)=9/5{–0.30 (t – 12)² + 40}+32

F(t) = -0.54 (t – 12)² + 72 + 32

F(t) = -0.54 (t – 12)² + 104

5, 6 and 7, should be simplish

good luck, i hope this helps :)

Step-by-step explanation:

True or False: A secant passes through a circle once where as a tangent passes through a
circle twice.

Answers

Answer:

false

Step-by-step explanation:

A secant of a curve is a line that intersects the curve at least twice.

Please answer this will give 10 points

Answers

Answer:

Step-by-step explanation:

In the given large pizza

diameter (d) = 24 in

Now

Circumference

= π* d

= 3.14 * 24

= 75.36 in

Hope it helps :)

24 in...


(This for extra words so i can submit)

Write a scale....please help

Answers

Answer:

Need more information what type of scale

Step-by-step explanation:

Brennan was asked to simplify and solve equation, also what mistakes did Brennan make?

Answers

Answer:

Can you please add a photo becauseI'm not sure how to help you out with this problem without context:)

Answer:

Brennan was paid handsomely. He has a very good memory. He knows the whole of the Tulsi Ramayana by heart. When he sings, the words seem to flow from his heart. All present listen to him spell­bound. Singing has become his hobby. It is the only redeeming feature of his life.

But nowadays, there are schools. They can be educated. They can be trained in various handicrafts and thus made useful member of society. So the lot of a blindman is not as hard and miserable as it used to be.

He can become capable of earning his livelihood. If he so chooses. He can get higher education and thus secure a Government job. He need not feel helpless and miserable. Several avenues are open to him. There are chances for him to make his career.  

Learning how to simplify an expression is the most important step in understanding and mastering algebra. Simplification of expressions is a handy mathematics skill because it allows us to change complex or awkward expressions into simpler and compact forms. But before that, we must know what an algebraic expression is.

An algebraic expression is a mathematical phrase where variables and constants are combined using the operational (+, -, × & ÷) symbols. For example, 10x + 63 and 5x – 3 are examples of algebraic expressions.

In this article, we shall learn a few tricks on how to simplify any algebraic expression.

How to Simplify Expressions?

Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

The process entails collecting like terms, which implies adding or subtracting terms in an expression.

Let’s remind ourselves of some of the important terms used when simplifying an expression:

A variable is a letter whose value is unknown in an algebraic expression.

The coefficient is a numerical value used together with a variable.

A constant is a term that has a definite value.

Like terms are variables with the same letter and power. Like terms can sometimes contain different coefficients. For example, 6x2and 5x2 are like terms because they have a variable with a similar exponent. Similarly, 7yx and 5xz are unlike terms because each term has different variables.

To simplify any algebraic expression, the following are the basic rules and steps:

Remove any grouping symbol such as brackets and parentheses by multiplying factors.

Use the exponent rule to remove grouping if the terms are containing exponents.

Combine the like terms by addition or subtraction

Combine the constants

:)

help please !!!!!!!!​

Answers

Answer:

n = 4

Step-by-step explanation:

Given

[tex]\sqrt{64}[/tex] × [tex]\sqrt[3]{8}[/tex]

= 8 × 2

= 2³ × [tex]2^{1}[/tex]

= [tex]2^{(3+1)}[/tex]

= [tex]2^{4}[/tex] → with n = 4

Look at the equation below.

What value of n will make this equation correct?

Answers

Answer:

8/3 aka D

Step-by-step explanation:

Answer:

D is the answer

Step-by-step explanation:

3/10*8/3=4/5

2) A family decided to sell their house
for $425,000. They had to pay their
real estate agents 6% for selling their
house. How much was paid for
commission fees?
Can someone help me

Answers

Answer:

$25,500 in commission fees

Step-by-step explanation:

HELP PLEASE!!! will give brainliest!!
Domain and range from graph
What is the range of g?


Answers

Answer:

[-4,9)

Step-by-step explanation:

im like 99% sure this is right bc i just did a problem like this (:

Answer:

-13

Step-by-step explanation:

i got it by sibtracting 9 and -4

can someone help me answer this.

Answers

Answer:

[tex]f(n)=-3n+24[/tex]

Step-by-step explanation:

A=(1,21)

B=(3,15)

slope:- Δy/Δx=21-15/1-3=6/-2= -3

Equation:-

y-y1=m(x-x1)

y-21=-3(x-1)

⇒y=-21=-3n+3

→ y= -3n+3

y= -3n+24

[tex]-----------[/tex]

hope it helps..

have a great day!!

04/17: Average: Mean
Alex has grades of 87, 75 and 86 on three math tests. What grade must he obtain on the next test to have an avera
tests?

Answers

Answer:

dam

Step-by-step explanation:

Machen gun Kelly or yungblud.......or should they both make a band together?

Answers

Answer:

I personally think yungblud

Answer:

i definitely listen to yungblud more and watch more of his content soo-

Step-by-step explanation:

Help me rq!!..................

Answers

Answer:H

Step-by-step explanation:

−9x (5x+4 ) +10 (x+3) can someone please solve his for me thank u step by step please i really need to find out how to do it

Answers

Answer:

-45[tex]x^{2}[/tex]-26x+30

Step-by-step explanation:

So first you let's divide this equation into three parts.

Part one -9x(5x+4)

Step one: you have to distribute the -9x to the numbers in the parentheses. That would leave us with a -9x*5x = -45[tex]x^{2}[/tex] and -9x*4 = -36xStep two: Put the answers together. That would leave us with -45[tex]x^{2}[/tex]-36x.

Part two 10(x+3)

Step one: you have to distribute the 10 to the numbers in the parentheses. That would leave us with a 10*x = 10x and 10*3 = 30Step two: Put the answers together. That would leave us with 10x+30

Part three solve

Step one: combine and put together what you have solved for. That would leave us with a -45[tex]x^{2}[/tex]-36x+ 10x+30 Step two: combine like terms. The like terms here are -36x and 10x. When you combine them you would get -26x.Step three: Write the equation in standard form. Therefore the answer is -45[tex]x^{2}[/tex]-26x+30.

Let me know if anything is confusing!


Which event is unlikely, but not impossible?

A- Spinning a spinner split into 16 equal sections labeled 1-16 and landing on 3

B- Rolling a dice and landing on an odd number

C- Flipping a coin and landing on tails


D- Pulling a white marble out of a bag that contains 4 white marbles and 2 red marbles

Answers

Answer:

A.

Step-by-step explanation:

You own a truck that has a trailer in the shape of a rectangular prism. It has a height of 15 m and a length of 40 m, and a width of 10 m. If you wish to fill this trailer with 5m x 5m x 5m cubic boxes, how many boxes will fit into the trailer?

48 boxes

600 boxes

1,200 boxes

240 boxes

Answers

Answer:

48 boxes

Explanation:

First, find the volume of the rectangular prism (l*w*h) to find out how much it can hold.

15*40*10= 6,000

Then, find the volume of the cubic boxes (l*w*h) to find how much space each of them take up.

5*5*5= 125

Finally, divide the rectangular prism's volume by the boxes' to find out how many can fit inside.

6,000/125= 48 boxes

Hello I am struggling with this question. Can you explain the answer?

Answers

Answer:

A

Step-by-step explanation:

Because X=1976 is given just substitute the value

Find the size of an angle which is five times it's supplement.​

Answers

Answer:

i really dotn know like frl

Step-by-step explanation:

Carla wants the total weight of the bags to be four pounds. If she can only pick one more bag, which bag weight should she pick? pound

Answers

Answer:

1/8

Step-by-step explanation:

To find which bag weight Carla needs, the first step is to find the total weight of the bags shown in the line plot.

There are three -pound bags.

There are six -pound bags.

There are four -pound bags.

Multiply the weight and number of each bag to find the total weight of each different weight bag.

Now, add the three totals.

Finally, subtract the total weight from four pounds in order to find which weight Carla needs.

So, Carla should pick one -pound bag of candy to total four pounds.

Someone please help me, write a variable equation to represent the situation, and solve it by using inverse operations.

Three times the difference between a number and six is eighteen.

Answers

Answer:

Number is 12

Step-by-step explanation:

Three times the difference between a number and six is eighteen:

3(n - 6) = 18n - 6 = 18/3n - 6 = 6n = 6 + 6n = 12

Number be x

The equation is

3(x-6)=183x-18=183x=36x=12

Please help, I will give brainliest to whoever helps!

Answers

Answer:

I'm sorry i cant see the photo its very wierd

Step-by-step explanation:

3. Which of the following equations is
equivalent to the equation shown below?
3x + 5 = 7x
10
A. 10x + 5 = -10
B. 4x + 5 = -10
C. 7x - 5 = 3x
D. -4x + 5 = -10

Answers

Answer:

the question has some problems

PLS!! help just answer no download or links

Answers

Answer:

6.15 in squared

Step-by-step explanation:

Hope This Helps :b

Answer:

The radius is 6.15

Step-by-step explanation:

r=(3 V/4π)⅓=(3* 972/4·π)⅓≈6.14506

It's about equal to 6.15 :)

area of this rounded to nearest tenth

Answers

Answer:

52.5

Step-by-step explanation:

A=a+b

2h=8+13

2·5=52.5

HELP ASAP!!!!NO LINKSSS!!!!
How many circles of radius 1 inch could fit in a circle with radius 5 inches (if you could rearrange the area of the smaller circles to completely fill the larger circle)?

Answers

One small circle has a circumference of 6.28
A big circle has a circumference of 31.4
31.4/6.28 = 5
You can fit 5 smaller circles into the larger circle

PLEASE HELP! WILL GIVE BRAINLIEST ONLY CORRECT ANSWER!! URGENT!

Answers

Answer:

A) x > -8

Step-by-step explanation:

-4x < 32

-x < 8

x > -8

Solve the quadratic equation using any method. Round to the nearest tenth if neccessary. Any Help Is Appreciated

Answers

Answer:

[tex]x = -0.8\ or\ x = 0.5[/tex]

Step-by-step explanation:

Given [Missing from the question]

[tex]6x^2 + 2x - 2.5 = 0[/tex]

Required

Solve

Using factorization, we have:

[tex]6x^2 + 2x - 2.5 = 0[/tex]

Expand 2x

[tex]6x^2 - 3x+5x - 2.5 = 0[/tex]

Factorize

[tex]3x(2x - 1)+2.5(2x - 1) = 0[/tex]

Factor out 2x - 1

[tex](3x +2.5)(2x - 1) = 0[/tex]

Split:

[tex](3x +2.5) = 0\ or\ (2x - 1) = 0[/tex]

In both cases, solve for x

[tex]3x = -2.5\ or\ 2x = 1[/tex]

[tex]x = -\frac{2.5}{3}\ or\ x = \frac{1}{2}[/tex]

[tex]x = -0.8\ or\ x = 0.5[/tex] --- approximated

help appreciated:)

ty ! giving brainliest

Answers

Answer:

2 cake recipes

Step-by-step explanation:

Count the number of Xs in between 1 1/8 and 1 5/8.

Answer:

2

Step-by-step explanation:

There are 2 crosses between those two numbers on the graph

How many solutions for the system of equations 4x + 6y = 12,6x +9y = 18

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

Given the 2 equations

4x + 6y = 12 → (1)

6x + 9y = 18 → (2)

Equation (2) is a multiple of (1)

Each term has been multiplied by 1.5

Thus the 2 equations are basically the same equation.

This indicates there are infinite solutions to the system

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