pls asap... use trigonometry to find the area of a regular 20- gon with each side = 6 in

Answers

Answer 1

Answer:

Area of polygon[20 sides] = 1,140 inch² (Approx.)

Step-by-step explanation:

Given;

Number of sides = 20 sides

Length of each side = 6 inch

Find:

Area of polygon[20 sides]

Computation:

Perimeter of polygon[20sides] = 20 x Length of each side

Perimeter of polygon[20sides] = 20 x 6

Perimeter of polygon[20sides] = 120 inch

Apothem[Shortest distance from center] = S / 2tan[180/n]

Apothem[Shortest distance from center] = 6 / 2tan[180/20]

Apothem[Shortest distance from center] = 6 / 2tan[9]

Apothem[Shortest distance from center] = 18.94

Apothem[Shortest distance from center] = 19 inch (Approx.)

Area of polygon[20 sides] = [Perimeter x Apothem] / 2

Area of polygon[20 sides] = [120 x 19] / 2

Area of polygon[20 sides] = 1,140 inch² (Approx.)


Related Questions

Use the distributive property to simplify this expression for a parentheses 4(12 + 5)​

Answers

Answer:

68

Step-by-step explanation:

Mary split her gross pay from last week equally between her student loans, rent, and savings. She put $450 in her savings account. Write and solve an equation to determine how much Mary earned last week.

Answers

Answer:

1350

Step-by-step explanation:

if she spilt her pay EQUALLY between 3 things, and she added 450 to her savings, everything else would be 450 too. so 450 x 3 = 1350

URGENT LOL PLS HELP

Answers

Answer:

[tex] {3x}^{2} + 24x - 6[/tex]

Step-by-step explanation:

To find the area of a rectangle you have to multiply the length by the width.

In your problem, the length and width are both equations, so you just have to multiply each part of the equation separately.

For example, if you were to put both equations with one over the other, you just have to multiply the aligned numbers.

The length is: x2 + 6x + 3

The width is: 3x2 + 4x - 2

and if you multiply the aligned numbers together, you get

3x2 + 24x - 6. Because:

x2 × 3x2 = 3x2,

6x × 4x = 24x,

and 3 × -2 = -6

Answer:

Blah

Step-by-step explanation:

Solve for x. 3X - 4 3X - 8

Answers

Answer:

x = 2

As x = 12/6 = 2

Step-by-step explanation:

3x-4+3x-8

3x+3x-4-8

= 6x-12

FACTORISING for check and set to zero

6(x-2)

6x -12 = 0

Cancel out left by adding 12 to both sides then applying /6 to both sides to cancel 6 left side.

6x--12 + 12 = 0 + 12

6x / 6  =  12  / 6

x = 12/6

x = 2

or balance as grouping by separation  = multiply at end by  -1

3x+3x = --4 - 8

6x  = - 12

x = - 12/6

x = - 2

x = - 2  ( -1 )

x  = 2

Write an equivalent expression in standard form by
expanding, collecting, combining.
-5g+(68-4) g= -2.

Answers

The Standard form: 74

17. Higher Order Thinking In 4th grade,
Richard read 37 books. In 5th grade, he read
9 more books than the year before. This
year, in 6th grade, Richard plans to read at
least 12 more books than the total number
of books read in both 4th and 5th grades.
Richard writes the inequality b≥ 180 to
show the total number of books he will
have read in 4th, 5th, and 6th grades. Is his
inequality correct? Why or why not?

Answers

Step-by-step explanation:

No, Richard's inequality is not correct. In order to determine the correct inequality, we first need to find the total number of books that Richard read in 4th and 5th grade. In 5th grade, he read 9 more books than in 4th grade, so the total number of books he read in 5th grade was 37 + 9 = 46 books. The total number of books he read in 4th and 5th grade is therefore 46 + 37 = 83 books.

Since Richard plans to read at least 12 more books than the total number of books he read in 4th and 5th grade, he needs to read at least 83 + 12 = 95 books in 6th grade. In order to have read at least 180 books in total over 4th, 5th, and 6th grade, his inequality should be b ≥ 180. However, b represents the number of books he plans to read in 6th grade, which means the inequality should be 95 ≥ 180, which is not true. Therefore, Richard's inequality is not correct.

Use a net to find the surface area of the cereal box

Answers

Answer:

206

Step-by-step explanation:

A=2(wl+hl+hw)

Consider two people where one person is 20% taller than the other but proportioned in exactly the same way.​ (That is, the taller person looks like a larger version of the shorter​ person.) Suppose the shorter person has a 31​-inch waist. What size is the taller​ person's waist?

Answers

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

Please help! Ubehebe crater in death Valley has a diameter of a little more than 1/2 a mile. If Latisha walks around its rim at a rate of 2 mph, about how long will it take her to walk all the way around the crater? Round your answer to the nearest tenth. Use 3.14 for pi.

Answers

The time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
Ubehebe crater in Death Valley has a diameter of a little more than 1/2 a mile.
Circumference of the rim,
= πD

= 3.14 × 1/2
= 1.57 mile

Time = Distance/speed
Time = 1.57 / 2
Time = 0.785 hours

Thus, the time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.

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PLEASE HELP find mQT and m

Answers

Answer:

[tex].x1 - 4 { {0.36 + + \times 4xx { {052. < < }^{?} }^{2} }^{?} } \gamma eee} [/tex]

Plz help really need it its my final grade

Answers

Answer:

C

Step-by-step explanation:

48 × 19.5 = 936in

936in = 78ft

A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She travels down 4.2 feet.
She then travels directly up 3.4 feet.
Next, she descends a second time, 10 feet.

Answers

Answer:

Below

Step-by-step explanation:

0 ft -4.2 + 3.4 - 10 = -10.8 ft     or 10.8 ft below the surface

If a student deposits $1,500 in the bank and earns an annual interest rate of 8%,
how much will he have after 15 years? (Hint: y = ab)

Answers

1800

Explanation: 1= P x r x t


P is the principal amount, $1500.00.
r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.
t is the time involved, 15....year(s) time periods.
So, t is 15....year time periods.


find the simple interest, we multiply 1500 × 0.08 × 15 to get that
Answer:  $4758.25

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

Work Shown:

a = 1500 = deposit amountb = 1.08 = represents an increase of 8% since 100% + 8% = 1+0.08 = 1.08

The equation y = a*b^x updates to y = 1500*(1.08)^x

Plug x = 15 into the equation to find out how much money you have after 15 years.

y = 1500*(1.08)^x

y = 1500*(1.08)^15

y = 1500*(3.17216911419828)

y = 4758.25367129741

y = 4758.25

Don't forget to round to the nearest cent.

A manufacturing machine has a 3% defect rate.

If 7 items are chosen at random, what is the probability that at least one will have a defect?

Answers

Answer:

6.79%

Step-by-step explanation:

1.00 - 3=0.97

7 * 0.97 = 6.79

What is 15% of 12 meters?

Answers

Answer:

1.8 meters

Step-by-step explanation:

Multiply 12 by 0.15 to get your answer. You multiply because the question says "15% of 12 meters" which means you need to multiply.

Answer: 1.8

Step-by-step explanation:

Multiply 12 by .15 (15% as a decimal), and you'll get 1.8 meters. You multiply, because it says 15% of 12 meters.

Choose the solution set represented by the following graph

Answers

The answer to the question is the first one

please help quick
Could you please not put a link

Answers

Answer: 40°

Step-by-step explanation:

Angle FGH has the same measure as angle EHG. We know this because of the two little red lines on both the angles. Similarly, angles GEH and GFH would have the same measure because they both have one red line. The number of lines will indicate which two measures are equal.

Directions: Determine whether each relation is a function. Explain your answer.
X
12)
10)
#IN
13)
x
14)
15)
10
1

Answers

Therefore ,We can infer the following from the rule for when a relation represents a domain and range : 16) Is not a function. 18) Is not a function, while 17) Is one.

What is a domain?

The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these numbers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully used to produce a single value of y by using the value of x.

Here,

we have that for this issue:

It is not a function in item 16 since input 5 is translated to outputs 2 and 4.

Item 17 is a function since each input is assigned to a single output.

It is not a function in item 18 since input -2 is mapped to outputs 13 and 15.

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can y'all help this math question ​

Answers

Step-by-step explanation:

SA= 2(5×11)+(5×12)+(11×12)

SA= 2(55+60+132)

SA= 2(247)

SA= 494cm^2

According to Okun's law, if output grew 7% and full-employment output rose 5%, what would be the change in the unemployment rate

Answers

Answer:

the change would be 2% of course

The change in the unemployment rate is -1%.

Given to us:

output grew = 7%

full-employment output grew = ΔY = 5%

According to Okun's law,

employment output - 2 (change in the unemployment rate) = output grew

5% - 2(Δu) = 7%

- 2(Δu) = 7% - 5%

- 2(Δu) = 2%

[tex]\bold {\Delta u = \frac{2\%}{-2} }[/tex]

[tex]\bold{\Delta u = -1\%}}[/tex]

Hence, the change in the unemployment rate is -1%.

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Complete the equations bellow.

Answers

What equations? Explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Click and place the simplified expression after its original expression.

Answers

You have to show what we need to simplify ss bc

Find the surface area of the cylinder. Round your answer to the nearest tenth.

Height = 12
Radius = 3

Answers

Answer:

282.74

Step-by-step explanation:

Ben's living room is a rectangle measuring 12 yards by 144 inches. By how many feet does the length of the room exceed the width? PLEASE ANSWER PLEASE​

Answers

Answer:

24 feet

Step-by-step explanation:

ok, so first we need convert the yards into feet.

12 yards=36 feet

(one yard=3 feet)

then, we need to convert the inches into feet.

144 inches=12 feet

(one foot=12 inches)

so now, our dimensions are 36 feet by 12 feet

36-12=24

the length of the room exceeds the width by 24 feet!

hope this helped <33333333333

A car rental company charges a daily fee of $12.95 on all rental cars.
What is the cost for 3 days?
A
$25.90
B
$36.75
С
$38.85
D
$45.23

Answers

Answer:

C

Step-by-step explanation:

Sorry if I’m wrong but I think I’m right

Answer:

answer is C

Step-by-step explanation:

it's just 12.95 times 3

What is 20% of 80 plus 15% of 30?

Answers

20% of 80 is 16 and 15% of 30 is 4.5, so the sum is 16 + 4.5 = 20.5.

2y + _ x + 8y + 24x is equal too 2(5y+14x). What Is the missing coefficient? (in 2y + _ x + 8y + 24x)​

Answers

Hey, Um not sure what the answer is positively but I think its 2. MIGHT NOT BE RIGHT *BEWARE*

Answer:

4

Step-by-step explanation:

2y + kx + 8y + 24x = 2(5y + 14x)10y + (24 + k)x = 10y + 28x24 + k = 28k = 4

The missing coefficient is 4

Lacey runs a stable that boards a range of horses.
brown 8
black 9
gray 3
Considering this data, how many of the next 15 horses that come to board should you expect to be brown horses?

Answers

Answer:

Step-by-step explanation:

8 out of 20 horses are brown

so

8/20

so

2/5

so

2/5 * 15 = 6

so

6 horses should be brown out of 15

Help me pls !!

Aarón made a picture frame with the dimensions shown in the figure. What is the area of the picture frame?


Answers

Answer:

72 cm²

Step-by-step explanation:

a = large rectangle  - small rectangle

a = (12 * 10) - (8 * 6)

a = 120 - 48

a = 72 cm²

ogether Brianna and Hushley saved $336 for their trip to France. Hushley saved $120 more than Brianna. How much money did Brianna save?

Answers

Answer:

Brianna saved $108

Step-by-step explanation:

First take away 120 from the total, you will be left with 216

Then divide the final amount in two 216/2 will be 108

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