Find the area of a regular pentagon with radius 9mm

Answers

Answer 1

Answer:

The required area of pentagon is 212.36 mm².

What is area of a shape?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Given that,

radius of pentagon = 9 mm

Since in pentagons there are 5 sides.

Therefore,

Area is = (5/4)x s² x tan(π/5)

Where s is the pentagon's length along one side.

Use the pentagon's radius to get s using the following calculation

since we already know,

S = 2x radius x sin(π/5)

When we enter the values ,

we obtain: s = 2 x 9 x sin(π/5)

= 14.56 mm.

We can now enter this value of s into the area formula as follows:

Area = (5/4) x s² x tan(π/5)

= 212.36mm².

Consequently, the regular pentagon's area with a 9 mm radius is roughly 212.36 mm²

To learn more about area visit:

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Answer 2

Answer:

The area is calculated by using the formula A=(r^2)*n*sin(360/n)/2 where n is the number of sides which is 5 for pentagon and r is the radius which is 9 mm. So, using the formula, the answer is 51.4 mm^2.

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At best buy they have a 42" TV that sells for $1250 and is on sale 15% and sales tax is 6%.What is the final cost?

Answers

ok so
sale is 15% off
and add 6% tax

100-15=85
100+6=106

therefor
1250 with 15% discount plus 6% tax means
1250 times 85% times 106% =
1250 times 0.85 times 1.06=1126.25
final cost=$1126.25

First Find 15% of the original price to find the sales price.

1250 x 0.15= 187.50

1250 - 187.50= 1062.5

Then to find your tax, multiply 1062.50 by 0.06.

1062.50 x 0.06= 63.75

Your total price would be: 1126.25 :)

The probability that a city bus is ready for service when needed is 77%. The probability that a city bus is ready for service and has a working radio is 65%. Find the probability that a bus chosen at random has a working radio given that it is ready for service. Round to the nearest tenth of a percent. (Hint: Divide)

Answers

Answer:

0.84

Step-by-step explanation:

Let the probability that a city bus is ready for service when needed is represented as P(ready)=77%=0.77

Let the probability that a city bus is ready for service and has a working radio be represented as P(ready and radio)=65%=0.65

probabilty that it has a working radio given that it is ready for service =

P(radio and ready)=P(ready and radio) ÷ P(ready)

=0.65÷0.77=0.84416

≈0.84 to the nearest tenth

How do you find the exact area of a circle having the given circumference of 3 pi

Answers

3.14 times the square of ur radius is equal to area of a circle. So in this case , they having the given circumference of 3pi , then u divided by 2 is ur radius. Radius is 1.5. 3.14 times 1.5 square or 3.24 times 1.5 times 1.5 it will get ur final answer. ( I don't have my calculator with me so I gave u a direction only )

It takes 12 hours to clean the windows of a certain office building. During the first day of cleaning, the workers were able to clean for 9 hours. If the variable t stands for the amount of time the workers have left to clean the windows, which of the following choices is the most reasonable value for t?A.
3 hours

B.
1 hour

C.
30 hours

D.
20 hours

Answers

the most reasonable value for t would be A. 3 hours.

Since it would take 12 hours to clean the place and the workers already cleaned for 9 hours, there is still 3 hours left to completely clean the office building. (12 - 9 = 3)

If you would like to know which of the following choices is the most reasonable value for t, you can calculate this using the following step:

t ... the amount of time the workers have left to clean the windows
t = 12 hours - 9 hours = 12 - 9 = 3 hours

The correct result would be A. 3 hours.

Greenland, the largest island in the world, is 21 times larger than Iceland. The combined area of Greenland and Iceland is 880,000 mi2. Write an equation to find the area of Greenland. (Use g to represent the area of Iceland.)

Answers

Greenland is x
Iceland is g

g + x = 880,000
x = 21g

Solve both equations for x (Greenland)
x = 880,000 - g
x = 21g

Because of the transitive property, which states that for any real numbers a, b, and c: If a = b and b = c, then a = c, you can set the two things that equal x equal to each other.
21g = 880,000 - g

Then you simplify.
21g = 880,000 - g
21g + g = 880,000 -g +g
22g = 880,000

Ay for 100 points help me with this one an be right