Find the area of a regular decagon with a perimeter of 60 ft.

Answers

Answer 1

Answer:

Area of a regular decagon with a perimeter of 60 ft. = 277 squared ft

Step-by-step explanation:

Decagon has 10 sides    So 60/10 = 6 (each side = 6ft )

The sum of the  interior angles of a decagon  is 1 440 degrees.

There are  10 equal isosceles triangles of base angles 72 degrees  in a decagon

Each isosceles triangle can subdivided into 2 right-angled triangles with height h and base length = (6/2) = 3 cm and base angle 72 degrees.

Height of right-angled triangle h = 3 tan 72 ft.

Area of 1 right-angled triangle = (1/2)(3)(3 tan 72) = 13.85 squared ft  

Area of decagon = 20 right-angled triangles = 277 squared ft


Related Questions

Hildie can type an average of 74 words per
minute. If she types for 45 minutes, how many
words has she typed?

Answers

Answer:

3,330

Step-by-step explanation:

you multiply 74 and 45

Answer:

3,330 words

Step-by-step explanation:

Hildie can type 74 words per MINUTE. And we know she typed for 45 minute, so we can just multiply 74 and 45.

Find the area of the polygon with vertices
A(-6,-2), B(-6,5), C(2,5), and D(2,-2).

Answers

Answer:

its b or c

i hope this helps! if not im sorry.

Find the dimensions of a rectangle if the area of the rectangle is 108 square meters

Answers

Answer:

it's your answer

Step-by-step explanation:

plz make me barinly least

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‍‍‍

Answers

Answer:

The volume of this rectangular prism is 225 sqaure centimeters.

Step-by-step explanation:

The formula for finding volume is V = length * width * height

Substitute values in the formula:

5 * 15 * 3 = V

5 * 15 * 3 = 225

Hope this helps; have a great day!

PLEASE HELP I WILL MARK BRAINLIEST EXPLANATION PLEASEEEE HAVE A GREAT DAY! :)

Answers

It’s 22 laps because 4 times 5 is 20 and then 1/2 is 2/4 which is 2 more so 20+2=22
5 1/2 / 1/4 = 22 laps

A circle has a diameter of 18. The sector has a central angle of 30 degrees. What is the area of the sector?

Answers

Answer:

21.21

Step-by-step explanation:

Area of a circle is A = π r^2

Variables:

r = 18/2 = 9

θ = 30 deg

Find the area:

A = π r^2

A = π 9^2

A = 254.47

Find the area of the sector:

θ/360 * A

= 30/360 * 254.47

= 21.21

First to answer correctly gets brainlest no files or your answer is reported

Answers

21 degree angle?

nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

make t the subject of k= t-e/2

Answers

Answer:

[tex]t=k+\frac{e}{2}[/tex]

Step-by-step explanation:

[tex]k=t-\frac{e}{2}\\t=k+\frac{e}{2}[/tex]

What is the amount of income tax in dollars and cents if a plumber makes $51,482 and has to pay a 5.5% income tax rate? $2,821.51

Answers

Answer:

$2,821.51

Step-by-step explanation:

The amount made be plumber = $51,482

rate of income tax = 5.5%

Therefore, amount of income tax in dollars and cents that would be paid by the plumber would be 5.5% of his amount made

= 5.5% of 51482

= (5.5/100)×51,482

= $2,821.51

The price of a ring was decreased by 25% to £390.
What was the price before the decrease

Answers

You will pay $292.5 for a item with original price of $390 when discounted 25%. In this example, if you buy an item at $390 with 25% discount, you will pay 390 - 97.5 = 292.5 dollars

Angle ABC is inscribed in circle p the length of PC is 12 units the arc length of a c is 68/15 pi what is the measure of angle ABC in degrees

Answers

Answer:

68°

Step-by-step explanation:

The formula for arc length when central angle is in degrees =

Arc length = 2πr × θ /360

Arc length = 68/15π

Radius = the length of PC = 12 units

Hence:

68/15π = 68π/15 = 2 × π × 12 × θ /360

68π/15 = 75.4 ×θ /360

Cross Multiply

68π × 360 = 15 × 75.4 × θ

θ = 68π × 360/15 × 75.4

= 67.998398019°

Approximately = 68°

Therefore, the measure of central angle = 68°

Answer:

here is the answer, first find the circumference and then use the formula i've written there

PLEASE HELP QUICK LOTS OF POINTS!

Answers

Answer:

What are the answer choices?

Step-by-step explanation:

Triangle KLM is similar to triangle NOP. Find the measure of side PN. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
60
P
O
M M
17 1
35
K
N

Answers

Answer:

ML/OP=MK/PN since sides of similar traingle are proportional

17/60=35/PN

PN=35×60/17=123.529=123.6 or 124

The measure of the side PN is 123.5.

What are Similar Triangles?

Similar triangles are those triangles which has the same shape but different size.

The length of sides and angles are proportional in similar triangles

Given that triangle KLM is similar to triangle NOP.

If two triangles are similar, then their corresponding sides will be proportional.

From the figure,

Corresponding side of LM is PO.

Corresponding side of MK is NP.

Corresponding side of LK is ON.

So LM / PO = MK / NP = LK / ON

17 / 60 = 35 / PN = LK / ON

We need the length of PN.

17 / 60 = 35 / PN

17 × PN = 60 × 35

PN = (60 × 35) / 17

PN = 123.5

Hence the measure of the side of the triangle is PN = 123.5.

To learn more about Similar Triangles, click :

https://brainly.com/question/14926756

#SPJ2

PLEASE HELP!!!!

This could be the graph of:
O A. In(x+3)-4
O B. In(x+3)
O c. ln(x) + 4
O d. In(x-3)+4

Answers

Answer:

D. ln(x-3) + 4

Step-by-step explanation:

There is a vertical asymptote at x=3, and this matches answer choice D!

Answer:

d. ln(x-3) + 4

Step-by-step explanation:

HELP ME AND SHOW WORK PLEASE

Answers

Answer:

B) 1693.3

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

V = π7²(11)

V = 49(11)π

V = 539π

V = 1693.3

Rachel used 2.8 cups of sugar to make 2 cherry pies. How much sugar, on average, did she put in each pie?

Answers

Answer:

1.2 cups

Step-by-step explanation:

Divide the total cups (2.4) by the amount of pies (2)

2.4/2 = 1.2 cups of sugar per pie

Hopefully this helps - let me know if you have any questions!

Could someone help me find an equation ❤️

Answers

Answer:

-(2/3)x+4

Step-by-step explanation:

For the slope you do rise over run, since the graph intercepts the y-axis at 4 and goes down to 0 the rise is -4 and from the same point the graph "runs" 6 the rise/run is -4/6 which can be simplified to -2/3. For the y-intercept you simply find where the graph touches the y-intercept and add (or subtract if the number is negative) that to the end of the equation.

Which expression is equivalent to this equation!!! Look at picture !! pls help !

Answers

The answer is C or the third option

WILL MARK BRAINLEIST

The product of two consecutive odd integers is 323. What is the larger integer?

Answers

Answer:

A

Step-by-step explanation:

промінь ділить розгорнутий кут на два кути. знайди ці кути, якщо один з них на 20градусів більший за другий

Answers

Answer:

write it in English so I can understand

Please write it in English please

A rectangle has an area of 235.2m squared. One of the sides is 2.8m in length. work out the perimeter of the rectangle, please?

Answers

Answer:

P = 173.6 m

Steps:

given:

A = 235.2 m²

S1 = 2.8 m

S2 = A/S1

S2 = 235.2/2.8

S2 = 84 m

P = 2(S1+S2)

P = 2(2.8+84)

P = 2 × 86.8

P = 173.6 m

4e+22 X 3200
4e+22 X 3200= ?

Answers

What subject is this in maths

Which of the following points best represent ...

Answers

B I think sorry if I’m wrong

The number of school buses needed to transport students on a field trip is given by the function
f(x) = where x represents the number of students going on the trip. What is the domain of this
40
function?
A. 'x is the set of all real numbers.
B. x is the set of all integers.
c. x is the set of all nonnegative integers.
D. x is the set of all nonnegative real numbers.

Answers

Answer:

Answer is C

I don't know properly

I hope you like it

Answer:

A

Step-by-step explanation:

1. You have the following function that is shown in the problem above:

f(x)=(x+3)/30  

2. Then, the domain of the function f(x)=(x+3)/30 is:

All the real numbers (R)

3. Therefore, the correct answer for the exercise is the first option (Option A), which is:

A. x is the set of all real numbers.

(NO FILES) In a sequence of numbers, a3=7, a4=10, a5=13, a6=16, and a7=19. Which equation can be used to find the nth term of the sequence, an?
an=7n+3
an=3n+7
an=2n−3
an=3n−2

Answers

It’s an=7n+3 there’s the answer hope it’s right lol

Answer:

Step-by-step explanation:

i need help with my geometry hw:)

Answers

Answer:

Option (2)

Step-by-step explanation:

By the property of triangle,

If the sides of triangle are unequal, then the ratio of the measures of the angles will be equal to the ratio of their opposite sides.

Following this rule,

Angle opposite to the largest side will be biggest and angle opposite to the smallest side will be smallest.

Since, LJ > KL > JK

Therefore,

∠K > ∠J > ∠L

Option (2) will be the answer.

The average human reaction time from eye to finger is 0.16 second. How is this expressed as a fraction?

Answers

Answer:

4/25 seconds

Step-by-step explanation:

the second (0.16) is in two decimal places, so divide 16 by 100

[tex]\frac{16}{100}[/tex]

to express in the simplest form, divide the numerator  and the denominator by 4

= [tex]\frac{4}{25}[/tex]

What is the growth factor in the equation y=34•4^x

Answers

Answer:

so the growth factor is the base of the exponential term, so the base of y = 34 * 4^x is 4.

If 2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after 2 years

Answers

Answer:

Account Balance = Principal x (1 + interest rate (decimal)) number of years, compounded annually.

Step-by-step explanation:

This is based on the information provided: 2121.80 (1.03)2 = 2000 So, on your initial deposit of 2000, you can collect 121.80 in interest after two years.

Find the area of a regular hexagon with an apothem length of 12.1 and a side length of 14

Answers

Answer:

area = 520 units²

Step-by-step explanation:

divide the hexagon into 6 equal triangles.

each triangle has a base of 14 and a height of 12.1 so:

the area of one triangles = 1/2BH = 1/2(14)(12.1) = 86.8 units ²

86.8 x 6 triangles = 520.8 units²

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