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

Kathleen, a professional golfer, had an average score last season
of 80 points. This season, her average score has been 72 points.
What is the percent of decrease in Kathleen's average score?

Answers

(|currentavg-initialaverage|/initialavg)*100 gives percent difference so:

(|72-80|)/(80)*100

gives a 10 percent difference (decrease)

80 100%
72 X%
X%=72•100/80
X=90 %
100-90=10%
Decrease in Kathleen’s average score is 10%. Good luck.

Please help due soon!!

Answers

Answer: [(3/4)π] in² or (0.75π) in²

Step-by-step explanation:

Here, we are asked to find the area of a sector. So we are going to use the formula: A=πr²(θ/360)

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

Given

r=3 in

θ=30°

Solve

A=πr²(θ/360)

A=π(3)²(30/360)

A=9π(1/12)

A=[(3/4)π] in²

A=(0.75π) in²

Hope this helps!! :)

Please let me know if you have any questions

help please !!!!.......​

Answers

Answer:

x=60°,120°

Step-by-step explanation:

4sinx=3cosecx

4sinx-3cosecx=0

4sinx-3/sinx=0

4sin²x-3=0

sin²x=3/4

sinx=√(3/4)

sinx=√3/2=sin60°,sin(180-60)

Answer:

sin (180-60)is the correct answer Hope it helps you have a great day keep smiling be happy stay safe

Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the length of H J is x + 3, and the length of J E is x minus 1.
If H is the midpoint of GE and J is the midpoint of FE, determine the following lengths.

HJ =

JE =

Answers

Answer:

HJ = 8  JE = 4

Step-by-step explanation:

it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.

HJ= 1/2 (GF)

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

x + 3 = 2x - 2

x = 5

^ Thus meaning the value of x is 5.

Now you just fill into your equations:

HJ = x + 3 = (5)  + 3 = 8

JE = x - 1 = (5) - 1 = 4

Therefore, HJ = 8; JE = 4.

Answer:

HJ = 8

JE = 4

Step-by-step explanation:

Your welcome.

This is for today someone can help me pls!!!

Answers

Answer:

sdf

Step-by-step explanation:

sdfgh

How can you determine the part of an hour that is 15 minutes?

Answers

Answer:

You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.

Step-by-step explanation:

Sarah adds 2 to her shells each week. which pattern could show how many shells Sarah has each week?

Answers

Answer: You can add 2 shells each week so you can count by 2's or multiply 2 to each week.

Step-by-step explanation:

2x1=2

2x2=4

2x3=6

2x4=8

2x5=10

2x6=12

2x7=14

2x8=16

2x9=18

2x10=20

etc..

I need help plzzzzzzzzzzzzjdbfhrrhebehdbzzzzzzzzzzzzzzzz

Answers

Answer:A

Step-by-step explanation: im not too sure but i think 1-2/5=3/5 which would be red so

Answer:

The answer to this is a because it has a sequence of three

please look at picture. i will give brainliest to the correct answer!!!

Answers

Answer:

N = 30

Step-by-step explanation:

30 divided by 10 is three. Three plus three equals 6.

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

Answers

Answer:

If you had a 50 question test and a grade of 82% then you would have gotten 9 questions wrong and 41 correct anwsers.

HELP ME PLEASE I'll give brainless.

Answers

∠IJG = ∠FGE (they are corresponding angle)

So, ∠FGE = 50°

Answer:

∠FGE is also 50°

Step-by-step explanation:

they are corresponding angles.

A triangle has angle measurements of 41°, 41°, and 98°. What kind of triangle is it?

Answers

Answer:

isosceles triangle?????????????????.................

Isosceles apparently lol.

A truck is painting traffic lines along a highway the truck paints 8 miles of lines in 3 hours at the rate how many miles can a truck paint in 12 hours.

Answers

Answer:

The truck can paint 32 miles in 12 hours.

PLEASE HELP I REALLY DONT UNDERSTAND

Answers

Answer:

x = 1

Step-by-step explanation:

If you plug in 1 in both equations you will get 3 as your answer as it is the intersection of those two functions.

Find the approximate length of the line AB PLZZZZZZZZZZZZZZZZZZ HELPPPPPP

Answers

Answer:

Approximate length of line AB is 8.6

Step-by-step explanation:

Input Data :

Point 1 (xA, yA) = (8, 2)

Point 2 (xB, yB) = (3, 9)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points = √(xB − xA) ^2 + (yB − yA)^2

Solution :

Distance between two points = √(3 − 8) ^2 + (9 − 2) ^2

= √(−5) ^2 + 7^2

= √25 + 49

= √74

= 8.6023

Distance between points (8, 2) and (3, 9) is 8.6023

hope this helps and is right :)

Answer:

First choice

12.0

Step-by-step explanation:

Make a right triangle, drawing straight lines, down from point A and left from point B. Use the pythagorean theorum to solve.

I will use "x," "y," and "z" as sides of the triangle as to not confuse between points a and b.

Line AB is line z

x^2 + y^2 = z^2

8^2 + 9^2 = z^2

64 + 81 = z^2

145 = z^2

(find square roots of both)

12.0416 = z

A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 4 milliliters of compound B. If a chemist wants to make 378 milliliters of the drug, how many milliliters of compound B are needed?

Answers

Answer:

216 milliliters

Step-by-step explanation:

Since, there are 3 milliliters of compound A used for every 4 milliliters of compound B.

Therefore,

A : B = 3 : 4

Let the common multiplier of the given ratios be x.

So, A = 3x & B = 4x

Since, chemist wants to make 378 milliliters of the drug.

Therefore, total volume of drug = 378 milliliters.

3x + 4x = 378

7x = 378

x = 378/7

x = 54

4x = 4*54 = 216

Thus, 216 milliliters of compound B are needed.

Helllpppppppppppp fast this

Answers

Answer:

None of he choices are correct. Now before you say I'm wrong, look at any one of the unknown angles. You can plainly see that they each are greater than 90 °.

x = 120°

Step-by-step explanation:

5 sides

(180 x 5) - 360 = 540° total of interior angles

540 - 90 - 90 = 360° total for the 3 unknown angles

x = 360/3 = 120°

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

Answers

So if each question you miss would drop the percent by 2% then you would missed 9 questions
Answer:9 questions answer incorrectly

Suppose WX = 4x - 8 and WZ = 2x + 2. Solve for x

Answers

Answer: 5

Step-by-step explanation:

Because the shape is a kite we can tell that WX and WZ are congruent.

So 4x-8 = 2x+2

Add 8 to both sides

4x = 2x+10

Subtract 2x

2x = 10

Divide by 2

x = 5

(WIll mark as brainliest) Which one of these graphs is a function and why and why not?

Answers

answer : Graph B

you’re welcome ! have a great night/day .

The table shows the heights of some United States
waterfalls. What is the height of each waterfall?

Answers

Answers:

In order: 620, 256, and 212

Explanation:

2^2 • 5 • 31
4 • 5 • 31
20 • 31
620

2^8
2 • 2 • 2 • 2 • 2 • 2 • 2 • 2
4 • 4 • 4 • 4
16 • 16
256

2^2 • 53
4 • 53
212

please help if you can!!!!
I promise I will make brainliest!!!!​

Answers

Answer: B

Step-by-step explanation: Hope this help :D

Select all the figures that are shaped to represent 60% of the whole.​

Answers

It would be A and C , in B it’s full so it’s a 100% and we’re looking for 60

A sphere has a radius of 12 inches. What is its volume

Answers

Answer:

26899 in³

Step-by-step explanation:

The volume of a sphere of radius r is V = (4/3)πr³.

If the radius is 12 in, then the volume is V = (4π/3)(12 in)³, or approximately 26899 in³

If the radius of a circle is 3, calculate the diameter.
also can anyone please explain how to do this? i would really appreciate it.

Answers

Answer:

The diameter would be 6

Step-by-step explanation:

the radius is half of a diameter, so you would have to double the radius to get the diameter

d=2r

=2(3)

=6

The diameter reaches across the circle, while the radius reaches only half way, so you would have to double the radius to get the diameter (2r)

sorry if this doesnt make sense

take care, stay safe, be careful, and live

stay safe

-Ken Ken (kenma #3)

how many times does 91 go into 15???

Answers

Answer:

18.2

Step-by-step explanation:

divide 91 by 5

x x x x x. x x x x x x x x x x xx. x

A boy weighs 27 kilograms. Hoy much does he Weigh in pounds?

Answers

Answer:

59.5248

Step-by-step explanation:

HELP HELP HELP HELP JUST TWO SMALL THINGS

put down whatever pls give me actual answers

Answers

Answer:

for what question i dont see the quetsion

Step-by-step explanation:

John has 10 coins in his pocket that are worth $1.60. He has some quarters, some dimes, and some nickels.
which combination of coins could john have in his pocket?
A 3 quarters, 4 dimes, 3 nickels
OB. 4 quarters, 3 dimes, 3 nickels
OC. 5 quarters, 2 dimes, 3 nickels
OD. 6 quarters, 2 dimes, 2 nickels

Answers

Answer:

its C :)

Step-by-step explanation:

so 5 quarters is 1 dollar and 25 cents then add 2 dimes its 1 dollar and 45 cents then u add 15 because of 3 nickles and so it makes it 1 dollar 60 cents

A national study report released by the Center for Studying Health System Change (HSC) in 2010, indicated that 20.9% of Americans were identified as having medical bill financial issues. Many people in families with problems paying medical bills in 2010 experienced severe financial consequences from their medical debt, with about two-thirds reporting problems paying for other necessities and a quarter considering bankruptcy, the study found. What if a news organization randomly sampled 400 Americans from 10 cities and found that 90 reported having such difficulty. A test was done to investigate whether the problem is more severe among these cities. The result of this test is ________.

Answers

Answer:

The result of this test is 0.2156

Step-by-step explanation:

Given the data in the question;

The proportion of Americans having medical bill financial issues is ;

p = 20.9% = 0.209

CLAIM;

The problem is more severe among the cities

so

H₀ : p = 0.209

H₁ : p > 0.209       { this is our claim }

population n = 400

number of people that reported difficulty x = 90

so

sample proportion p" = x / n = 90 / 40 = 0.225

Test Statistics;

z = [ (p"-p) / √( (p(1-p))/n ) ]

we substitute

z = [ (0.225 - 0.209) / √( (0.209(1-0.209)) / 400 ) ]

z = [ 0.016 / √0.0004132976 ]

z = [ 0.016 / 0.0203297 ]

z = 0.787

P-VALUE

p-value = P( Z ≥ z )

p-value = P( Z ≥ 0.787 )

p-value = P( Z ≤ -0.787 )

from normal distribution table;

p-value = P( Z ≤ -0.787 ) = 0.2156

p-value = 0.2156

Therefore, The result of this test is 0.2156

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