What is the area of the regular pentagon with 5 inch sides and apothem that measures 4.2 inches?

52.5 in2
21 in2
105in2
10.5 in2

Answers

Answer 1

Answer:

its 52.5. I just did it on edge

Step-by-step explanation:

Answer 2

The area of the regular polygon is 52.5 in².

What is area?

Area is the region bounded by a plane shape.

To calculate the area of the regular pentagon, we use the formula below.

Formula:

A = anL/2............ Equation 1

Where:

A = Area of the regular polygona = Length of apothem of the polygonn = Number of sides of each polygonL = Length of sides of each polygon

From the question,

Given:

a = 4.2 inchesL = 5 inchesn = 5 (pentagon)

Substitute these values into equation 1

A = 5×4.2×5/2A = 52.5 in²

Hence, the area of the regular polygon is 52.5 in².

Learn more about area of regular polygon here: https://brainly.com/question/8409681


Related Questions

find the missing letter N if the width is 2ft and the area equal 28 sq ft​

Answers

Answer:

Step-by-step explanation:

Area = 28 Sq.ft

length * width = 28

2 * n = 28

Divide both sides by 2

2n/2 = 28/2

n = 14 ft

Extr. p
Help Me Quick!! thank you so much in advance!

Answers

Answer:

option ;

Step-by-step explanation:

Your answer here will be

;

What does reflection mean?

Moving back and forth quickly
Speed of vibration
Bouncing light of a shining surface
Loudness or quietness

Answers

Step-by-step explanation:

Reflection mean bouncing light of a shining surface.

The diagram below is divided into equal parts. Which shows the ratio of unshaded sections to shaded sections

Answers

Answer:

5 to 1.

Step-by-step explanation:

There are 5 unshaded and one shaded section so it's

5:1.

The ratio of unshaded sections to shaded sections is;

Option D; 5 to 1

We are told that the diagram is divided into equal parts.

Now, from the given, we can see that there are 6 equal parts. However, out of the 6 equal sections, only one section is shaded while 5 sections are unshaded.

This means that the ratio of unshaded sections to shaded sections is; 5 to 1.

In conclusion, the ratio of unshaded sections to shaded sections from the given diagram that was divided into equal parts is; 5 to 1.

Read more at; https://brainly.com/question/20094176

When you graduate from high school, you deposit all of your graduation cash into an account earning 5% interest. Ten years from now you will have
$5000 in that account. How much money did you deposit?

Answers

If it’s 5% interest per year, then you deposited $2500. If it’s 5% interest total over the total 10 years, then you deposited $4750

Angles
SU and VX are parallel line.
which angles are alternate exterior angles?
XWY and STR
XWY and VWT
XWY and VWY
XWY and XWT​

Answers

Answer: XWY and STR

I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.

Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.

A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.

Miss McGrew is making stools for her first graders to use during story time. To make the stools, she covers wooden cubes with carpet.
How much carpet does it take to cover each cube?

Answers

Answer:

9600

Step-by-step explanation:

Khan Academy LOL

P.S plz mark as brainliest and smack that thank you button also rate 5 stars

Answer:

9600 is the correct answer.

Step-by-step explanation:

Identify the equation or inequality of the graph

A)2x-3y=6
B)3x+2y=-6
C)2x-3y=-6
D)3x-2y=6

Answers

Answer:b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

What are Percentages that are Equal to 100%?

Answers

Answer:

just 100% because it is only that alone. You could have 1.0 as a decimal or 100/100 as a fraction, or 5/5, 18/18 and so on

Step-by-step explanation:

Answer:

100% is equal to 100%.

Step-by-step explanation:

Think about it in fractions, for a precentage to be 100% it need to be the same number of the top and bottom

20/20 = 100%

A bottle contains 10.5 cups of orange juice. You drink 1.2 cups of the juice each morning and 0.9 cups of the juice each afternoon. How much total juice do you drink each day? When will you run out of juice?

Answers

Answer:

2.1 cups per day and you will run out of juice in 5 days.

Step-by-step explanation:

1.2 cups + .9 cups = 2.1 cups per day

10.5 divided by 2.1 = 5 days

From the equation calculated, 2.1 cups of juice will be drank daily.

The total juice that will be drank each day will be:

= 1.2 + 0.9 = 2.1

Therefore, 2.1 cups of juice will be drank daily.

The number of days before the person runs out of drink will be:

= 10.5 / 2.1

= 5

The person will use 5 days before running out of drink.

Learn more about equation on:

https://brainly.com/question/13802812

What is the missing leg length

Answers

Answer:

b = 16

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

12^2 + b^2 = 20^2

144+b^2 = 400

Subtract 144 from each side

b^2 = 400-144

b^2 = 256

Take the square root of each side

sqrt(b^2) = sqrt(256)

b = 16

The answer is 16 meters

PLEASE HELP!! (will give brainliest for best answer)
(image below)

e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning. (2 points)

Answers

Answer:

i think the answer should be 60 ft long bc that would leave 10ft on each side of the banner

Step-by-step explanation:

hope this helps

Find the area. Will mark brainliest.

Answers

Answer:

11.56m²

Step-by-step explanation:

3.4×3.4=11.56m²

Answer:

11.56

Step-by-step explanation:

Find the value of x
146° (9x + 20)°​

Answers

Answer:

x = 14

Step-by-step explanation:

146° = 9x + 20°

146° - 20° = 9x

126° = 9x

x = 126°/9

x = 14

A triangle has sides of length 10 m, 15 m, and 8m. Is it a right triangle?

Answers

Answer:

The answer is no I believe

Step-by-step explanation:

help please!!!!!!!!!!

Answers

Answer:

[tex]15 × 10^{0}[/tex]

Step-by-step explanation:

5 × 10^-7 × 3 × 10^6

15 × 10^-1

= 1.5 × 10^0

Answer:

15 × 10^{-1} is the correct

Step-by-step explanation:

Use the quadratic formula to find the solutions to the quadratic equation
below.
2x2 - 5x+ 5 = 0

Answers

Answer:

x=9/5

Step-by-step explanation:

2*2-5x+5=0

4-5x+5=0

9=5x

x=9/5

X=5
Please mark it as brainliest

Mark left his house and drove north for 3.5 miles and then turned west for 4.6 miles before stopping at the gas station. How far was Mark from his home?

Answers

Answer:

8.1(?)

Step-by-step explanation:

Just do 3.5+4.6 to get 8.1, but if you do multiplication then it'll be 16.1. I'm not sure if this is accurate, though.

Answer:

Mark was 8.1 miles away from his home.

Step-by-step explanation:

3.5 + 4.6 = 8.1

HELP PLEASE NEED TO TURN IN TODAY ANSWER BOTH OWO

Answers

Answer:12-J 3.169 meters

13-B $11.46

Answer:

12-J 3.169 meters

13-B $11.46

Step-by-step explanation:

PLZ I NEED HELP ASAP
Evaluate 5/6 ÷(a+b) for a= 1/2 and b=− 2/3 . Record the answer in the simplest form.

Answers

Answer:

-5

Step-by-step explanation:

make the decimals have the same bottom by mutiplying by 3 in the top and the bottom. and not adding the bottms to make 12 instead stay at 6. Add. then you can easliy divide from there. using the keep change flip.

Answer:

-5

Step-by-step explanation:

make the decimals have the same bottom by multiplying by 3 in the top and the bottom. and not adding the bottoms to make 12 instead stay at 6. Add. then you can easily divide from there. using the keep change flip.

Evaluate the expression below for x = 2, y = –3, and z = –1.

A.

–23

B.

–5

C.

13

D.

27

Answers

Correct question:

Evaluate the expression below for x = 2, y = –3, and z = –1.

Given: [tex] x^2 z^2 -y^2(x+z) [/tex]

Options:

A.–23

B.–5

C.13

D.27

Answer:

B. -5

Step-by-step explanation:

In this question we are given the following values:

x = 2

y = -3

z = -1

Given the expression:

[tex] x^2 z^2 -y^2(x+z) [/tex]

To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively

Therefore,

[tex] x^2 z^2 -y^2(x+z) [/tex]

Substituting values, we have:

[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]

Simplifying, we have:

[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]

[tex]= [(4) (1)] - [(9)(1)] [/tex]

[tex]= 4 - 9[/tex]

= -5

The correct answer is option B

HALF LIFE The half-life of Zn-71 is 2.4 minutes. If one had 100.0 g at the beginning,
how many grams would be left after 7.2 minutes has elapsed?

A: 50.0 grams
B: 100.0 grams
C: 8.5 grams
D: 12.5 grams

Answers

Answer:

7.2 / 2.4 = 3 half-lives

(1/2)3 = 0.125 (the amount remaining after 3 half-lives)

100.0 g x 0.125 = 12.5 g remaining

Hope this Helped! :)

Please HELP!!!!!!!!!

Answers

Answer:

The sides are 3 and 9

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + (3x)^2 = (3 sqrt(10))^2

x^2 + 9x^2 = 9*10

10x^2 = 90

Divide each side by 10

x^2 = 90/10

x^2 =9

Take the square root of each side

x = sqrt(9)

x = 3

The sides are x=3  and 3x = 3(3) = 9

Answer: x=10

Step-by-step explanation:

Since the original statements were x, 3x, and 3[tex]\sqrt{x}[/tex], is already given as 10 in 3[tex]\sqrt{x}[/tex], therefore, 3x is 3*10 and x is 10

Which is the graph of r = 6 cose?

Answers

Idk
Evidence everything

Each big square below represents one whole.
What percent is represented by the shaded area?​

Answers

Answer:

59%

Step-by-step explanation:

No. of squares in a whole = 10*10=100

No. of spaces shaded = 59

No. of spaces not shaded = 41

Hence, percent represented by the shaded area = 59%

i have multiple please help

Answers

Answer:

Number 2 is 5 5/8

Step-by-step explanation:

3 1/2 times 3 3/4 is 45/8 45/8 = 5 5/8 times 1 = the same

A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
0
5
10
15
20
25
5
10
15
20
25
5
10
15
20
25
5
10
15
20
25
Which box plot could represent this data?

Answers

Answer:

First box plot

Step-by-step explanation:

In the figure attached, the options are shown.

The left end of the box is the lower quartile (also called quartile 1 or Q1)

The right end of the box is the upper quartile (also called quartile 3 or Q3)}

The interquartile range (IQR) is computed as follows:

IQR = Q3 - Q1

If Q1 = 3 and IQR = 5, then Q3 = 5 + 3 = 8

The first box plot is the only one with a lower quartile of 3 and an interquartile range of 5

The box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).

What is Interquartile Range (IQR)?

Interquartile range (IQR) of a data set is the distance between the lower quartile (Q1) and the upper quartile (Q3) on a box plot.

Thus, a box plot that has a lower quartile of 3 and interquartile range of 5 will have a distance of 5 from the lower quartile to the upper quartile.

Therefore, the box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).

Learn more about interquartile range on:

https://brainly.com/question/4102829

Sondra gets $75 a week, plus 10 percent of sales. Which equation best represents her salary? Group of answer choices

Answers

75 + (10/75)
I do not know for sure

tEN Percent of $4.30

Answers

Answer:

0.43

Step-by-step explanation:

We can move the decimal to the left if it is ten percent multiplied and we see here that we multiply the 10 percent.

Answer:

.43

Step-by-step explanation:

ten percent of 4.30

10% * 4.30

Change to decimal form

.10 * 4.30

.43

Help on this pleasee

Answers

Answer:

When in doubt, pick C

Step-by-step explanation:

I don't know what you're asking

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