What is the area of a regular pentagon with a side length of 10 inches and a distance from the center to a vertex of 10 inches? Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

[tex]A=172.04\ in^2[/tex]

Step-by-step explanation:

Given that,

The side length of a regular pentagon = 10 inches

The distance from the center to a vertex of 10 inches

The formula for the area of a regular pentagon is given by :

[tex]A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5} } }\ a^2[/tex]

Put a = 10

So,

[tex]A=\dfrac{1}{4}\times \sqrt{5(5+2\sqrt{5} )} \times 10^2\\\\A=172.04\ in^2[/tex]

So, the area of a regular pentagon is equal to [tex]172.04\ in^2[/tex].


Related Questions

For the right triangle shown, whih equation can be used to find the vaule of x

Answers

Answer:

The answer is b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

The actual length of side y is 22cm. Use the scale drawing to find the length of side x.

Answers

Given:

The actual length of side y is 22cm.

To find:

The length of side x by using the scale drawing.

Solution:

We know that the corresponding sides of original figure and scale drawing are proportional.

[tex]\dfrac{x}{1.8}=\dfrac{y}{1.4}[/tex]

[tex]\dfrac{x}{1.8}=\dfrac{22}{1.4}[/tex]

[tex]x=\dfrac{22}{1.4}\times 1.8[/tex]

[tex]x\approx 28.286[/tex]

Therefore, the length of side x is about 28.286 cm.

simplify the ratio 25:15:10​

Answers

Answer:

60%

Convert fraction (ratio) 15 / 25 Answer: 60%

The answer is 60% and I know it is because I have been given this question and I was correct

Use the GCF to factor: 90u + 80q

Answers

Answer:

10(9u+8q)

Step-by-step explanation:

Math Math help help help ASAP please help me

Answers

Answer:

a.) 64

b.) 2401

Step-by-step explanation:

Answer:

a.) 64

b.) 2401

Step-by-step explanation:

A study found that there is no direct relationship between the time that 8th grade students spend brushing their teeth and their final math grade for the year. What is the correlation? positive , negative , no correlation

Answers

Answer:

no correlation

Step-by-step explanation:

because the teeth brushing had nothing to do with their grade, it would be no correlation.

PLZZZ HELP ITS DUE AT 1:45

Answers

Answer:

a= 10 b= -13 c= -3

Step-by-step explanation:

First, you multiply 5x+1 and 2x-3

You then end up with 10x^2-13x-3 which is in ax^2+bx+c form

So, a would be 10, b would be -13, and c would be -3.

Can Someone Help Me With This I Beg You.​

Answers

Pyramid hope this helps

Select all shapes that have a volume of 36pi cubic units. (see attached picture)

Answers

Answer:

a B and c because there the shape of the big triangles

Desiree works at a dessert counter in the food court of a mall. The dessert counter sells cupcakes and cookies. Each cookie costs $1.25. Desiree sells 12 cookies and 8 cupcakes for a total of $33.00.


The cost of 1 cupcake is

$1.65
$1.92
$2.06
$2.25

Answers

Answer:

2.25$

Step-by-step explanation:

The cost of each cupcake the food court mall sells is $2.28.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Desiree works at a dessert counter in the food court of a mall. The dessert counter sells cupcakes and cookies.

Each cookie costs $1.25 and assuming the cost of the cupcake is x.

(1.25×12) + (8x) = 33.30.

15 + 8x = 33.30.

8x = 18.3

x = 2.28

learn more about numerical expressions here :

https://brainly.com/question/29199574

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simplify the expression ​

Answers

Answer:

[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{x - 6}{4*x}[/tex]

Step-by-step explanation:

We have the expression:

[tex]\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x}[/tex]

The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x

We will get:

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

Now we can directly add the terms to get:

[tex]\frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4 - 3*x - 2}{4*x} = \frac{x - 6}{4*x}[/tex]

We can't simplify this anymore

The volume of a child's model plane
is 1200cm cube.
The volume of the full size plane is 4050 m cube.
Find the scale of the model in the fom 1:n.​

Answers

Answer:

Is 10B and you get like 1000

Answer:

you get like 1000

The value of 3^4+5•5=

Answers

Answer:

106

Step-by-step explanation:

3^4=81

5·5=25

81+25=106

Can someone please help i spendt 30 mins on this one question ?

Answers

Answer:

A

Step-by-step explanation:

To keep things short, use the distance formula to find the distance from each point from (0,0)


What is the measure of each angle of an equilateral triangle?
A. O 90°
B. O 45°
C. 60°
D. 30°

Answers

Answer:

C) 60 degrees

Step-by-step explanation:

An equilateral triangle has all equal angles. We know that all the angles of a triangle add up to 180 degrees. Therefore 45+45+45=180 giving you an equilateral triangle angle measure.

The answer is 60 degrees I think!

Haley substituted the values of a, b, and c into the quadratic formula below.

x = StartFraction negative (negative 10) plus or minus StartRoot (negative 10) squared minus 4 (7)(negative 2) EndRoot Over 2(7) EndFraction
What was Haley’s function in standard form?
f(x)=___x2+____x+____​

Answers

Answer:

f(x) =  

7

x2 +  

-10

x +  

-2

Step-by-step explanation:

Jimmy and his friends want to sign up for a game rental service. They have information on game rental plans from four different companies. The friends plan to rent 15 games per month. Which plan is the BEST? Use substitution to determine the best price.

A-GameStop; pay $5 for each game ordered. (5g)
B-Level-up Games; pay $25 to join and $2 for each game ordered (2g + 25)
C-Game Changer; pay $20 to join and $2.50 for each game ordered (2.5g + 20)
D-Game Land; pay $60 per month for unlimited amount of game rentals (60)

Answers

Answer: A

Step-by-step explanation:

It’s the cheapest

Help
1: You answer 82% of the questions correctly on a 50-question test. How many questions do you answer incorrectly?

2: In a class, 60% of the students are girls. There are 21 girls in the class.
A: How many Students are in the class?
B: How many boys are in the class?

Answers

Answer:

1: 9 questions incorrect and 41 correct

2: There are a total of 35 students. 21 girls and 14 boys.

esme takes the bus to university 40 times during a term to relative frequency of the bus being late is 0.3
how many times is the bus late ?

Answers

Answer:

I Don't know....

Step-by-step explanation:

sry.....

Answer: 12

Step-by-step explanation:

So.

40 multiplied by 0.3 is 12 


What is the maximum percentage of net spendable income that should be set aside for housing? (It’s not 38)
A.25%
B.36%
C.38%
D.28%

Answers

It is 38% cause The maximum percentage of a families net spendable income should have at least 38% set aside for housing expenses.

Answer:

Step-by-step explanation:

It is 38% cause The maximum percentage of a families net spendable income should have at least 38% set aside for housing expenses.

Name two triangles that are congruent by AAS.

Answers

ACF and ROB?  you didnt show the rest of the answer options

May someone pls help with this?

Answers

Answer:

p = 308

Step-by-step explanation:

Gale owns a car that is worth $9,500 but she still owes $7,400 on the car loan. She has a student loan in the amount of $6,000 and she has a savings account with a balance of $1500. The balance on her credit card is $3200. What is her net worth?

Answers

Answer:

$8000

Step-by-step explanation:

Given: Car worth = $9,500, car loan = $7,400. Student loan = $6,000, savings account = $1500. The balance on her credit card is $3200.

Formula: Total Assets - Total Liabilities - Intangible Assets = Tangible Net Worth.

To find: Gale's net worth

Solution: You can calculate your net worth by subtracting your liabilities (debts) from your assets.

Firstly, calculate the total amount of assets by adding them together;

Total assets = Car worth + car loan + Student loan + savings account + balance on her credit card =

$9,500 + $7,400 + $6,000 + $3200 =$26,100

Secondly, calculate the Liabilties by adding them together;

Car loan + Student loan =

$7,400 + $6,000 = $13,400

Then, calculate the Intangible Assets by adding them together;

Savings account +  The balance on her credit card =

$1500 + $3200 = $4700

Finally substact the total amounts;

$26,100 - $13,400 - $4700 = $8000

(Note:- If your assets exceed your liabilities, you will have a positive net worth. Conversely, if your liabilities are greater than your assets, you will have a negative net worth.)

Name: ___________________________________________ Class: ___________
Real World Situation

Bryce spent $5.26 on some apples priced at $0.64 each and some pears priced at
$0.45 each. At another store he could have bought the same number of apples at
$0.32 each and the same number of pears at $0.39 each, for a total cost of $3.62. How
many apples and how many pears did Bryce buy?

Write equations in Standard Form.
Equation 1 (Store 1) Equation 2 (Store 2)
___________________________________ ____________________________________
Solve both equations in Standard Form. Show all work.
HINT: Replace the given values for x in the equation and solve for y

Equation 1
x (x,y)
0

1

2

3

4

5

6

Equation 2
x (x,y)
0

1

2

3

4

5

6

Solution:- ( , )
Identify the solution and state what it means in context of the problem.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
________________________________________________________________________________

Use Substitution Method to solve the system of Equations. Show all work and state
the solution.

Solution: ( , )

Explain in your own words your process of solving the System of Equations using
Substitution Method.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________
Use Elimination Method to solve the system of Equations. Show all work and state the
solution.

Solution: ( , )

Explain in your own words your process of solving the System of Equations using
Elimination Method.

_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________

Use Graphing Method to solve the system of Equations. Show all work and state the
solution.

Solution: ( , )

Explain in your own words your process of solving the System of Equations using
Graphing Method.
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________

Reflection:
_______________________________________________________________________________________________
_______________________________________________________________________________________________

_______________________________________________________________________________________________
_______________________________________________________________________________________________
_______________________________________________________________________________________________
_________________________________________________________________

Name_____________________________________ Class:______________ 2020-2021 Score:
Circumstances of Performance Students comments: I have learned that
___independent work __________________________________________________________________
___in class __________________________________________________________________
___as Homework __________________________________________________________________
___with a partner __________________________________________________________________
___with teacher feedback
___with an opportunity for revision Teacher comments/Next Steps:
__________________________________________________________________
Peer Reflection:
___________________________________________________________________
___________________________________________________ ___________________________________________________________________
___________________________________________________ ___________________________________________________________________
___________________________________________________ ___________________________________________________________________

Answers

Let the number of apples be x and that of pears be y, then:

0.64x + 0.45y = 5.26 . . . (1)

0.32x + 0.39y = 3.62 . . . (2)

(2) x 2 => 0.64x + 0.78y = 7.24 . . . (3)

(1) - (3) => -0.33y = -1.98

y = -1.98 / -0.33 = 6

From (2), 0.32x + 0.39(6) = 3.62

0.32x = 3.62 - 2.34 = 1.28

x = 1.28 / 0.32 = 4

What is the best approximation of the length of the radius in a circle with an area of 167 m2?

a. 4.6 meters
b.4.0 meters
c. 2.3 meters
d.5.1 meters

Answers

Answer:

r = 7.3 m

Step-by-step explanation:

A = (pi)(radius)^2, so, if A = 167 m^2, r^2 is found as follows:

       

         167 m^2

r^2 = -------------- = 53.158 m^2

              3.14

Taking the square root of both sides, we get

r = 7.3 m

This is correct, because A = (pi)(radius)^2 becomes (3.14)(7.3 m)^2 = 167.4 m^2

A cylinder has a base diameter of 10cm and a height of 7cm. What is its volume in cubic cm, to the nearest tenths place?

Answers

Answer:

volume = 549.5 cm³

Step-by-step explanation:

base area m= πr² = (3.14)(5²) = 78.5 cm²

volume = base area x height = 78.5 x 7 = 549.5 cm³

Answer:

549.5 cm3

Step-by-step explanation:

victor is keeping track of winter temperatures for a project. yesterday the thermometer read 12°F, and today the temperature has dropped 7°F. he wants to determine the temperature today. which operation should he use to solve this problem?

A) addition

B) subtraction

C) multiplication

D) division​

Answers

he should use subtraction
since the temperature DROPPED

Answer: subtraction

Step-by-step explanation:

i did the assignment.

What is the largest perfect square factor of 84

Answers

Answer

Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.

Step-by-step explanation:

The largest perfect square factor of 84 is 4.

We know that, a factor is a number that perfectly divides the number with 0 as remainder.

The easiest way to find out factors of a number is by doing LCM.

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.

From all the above factors 4 is the only number that is a perfect square.

Therefore, the largest perfect square factor of 84 is 4.

To know more visit:

https://brainly.com/question/14801938

a line segment has endpoints P(-1,5)and Q(5,2) find the coordinate of that trisect the segment​

Answers

Answer:

(1, 6).  The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)

Step-by-step explanation:

Moving from P to Q, we see that x increases by 6  and y increases by 3.

"Trisect" means "divide into three equal subintervals."

We find (1/3) of 6 (which comes out to 2) and (1/3) of 3 (which comes out to 1).  

Thus, the first junction (between 1st and 2nd trisection) is (-1 + 2, 5 + 1), or (1, 6).  The second is (-1 + 2 + 2, 1 + 1 + 1), or (3, 3)

get this right N I’ll give you brain list!

Answers

Answer:

[tex]y=\frac{1}{4} +x[/tex]

Step-by-step explanation:

use desmos graphing calculator

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