Find the area of a regular pentagon that is inscribed in a circle of radius 3. Round to the nearest whole number.

Answers

Answer 1

Answer:

The area of the pentagon is approximately 21 square units

Step-by-step explanation:

The radius of the circle in which the regular pentagon is inscribed, r = 3

The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;

A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)

Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈  21

The area of the pentagon, A ≈ 21 square units.


Related Questions

If the length of qr is 8 cm and the length of qs is 12 cm, what is the length of rs? No links Pls

Answers

Answer:

8.94

Step-by-step explanation:

Given that

qs = 12cm

qr = 8cm

Required  

rs

Using the pythagoras theorem

Let us assume qs is the hypotenuse side

qs² = qr² + rs²

12² = 8² + rs²

144 = 64 +rs²

rs² = 144 - 64

rs² = 80

rs = √80

rs = 8.94

Hence the value of rs is 8.94

Find the measure of the arc TDB in the circle P shown below:

Answers

[tex]\huge{ \mathfrak{  \underline{ Answer \:  \:  ✓ }}}[/tex]

The Angle formed by an arc on the centre of the circle is double the angle made by the same arc on the circumference of the circle.

So,

[tex] \boxed{ \mathrm{ \angle TDB = \dfrac{1}{2} \angle TPB }}[/tex]

[tex] \mathrm{\angle TDB = \dfrac{1}{2} \times 90 \degree}[/tex]

[tex] \mathrm{\angle TDB =45 \degree } [/tex]

_____________________________

[tex]\mathrm{☠ \: TeeNForeveR \: ☠}[/tex]

If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?

Answers

Answer:

[tex]x = 1.5[/tex]

[tex]Explaination :\\\frac{36}{9} = 4\\\frac{6}{4} =1.5\\Answer = 1.5[/tex]

Answer:

x = 1.5

Step-by-step explanation:

[tex]\frac{9}{36} :\frac{x}{6}[/tex]

Cross multiply.

36 · x = 9 · 6

Simplify.

36x = 54

Divide each side by 36.

36x ÷ 36 = 54 ÷ 36

Simplify.

x = 1.5

what is the value of (-35) • (-5/7)

Answers

Answer:

56

Step-by-step explanation:

25

We'll start by getting rid of the negatives, because a negative times a negative equals a positive.

Multiply the whole number by the numerator first, then divide by the denominator.

35 x 5 = 175

175/7 = 25

Which answer choice represents the difference of 20 and 3 times a number?
A. 3j + 20
B. 20(3j)
C. 20 – 3j
D. (20 · 3)j

Answers

Answer:

C

Step-by-step explanation:

The word “difference” tells us that this is a subtraction problem

the words “three times a number” tells us that the variable will be multiplied by three

therefore it is C, 20-3j

HELPP i'll give brainliest for the CORRECT answer

Answers

Answer:

a = 105 in²

Step-by-step explanation:

Front and back, triangles

a = 2 * (1/2)(5 * 6)

a = 30

Sides, squares

a = 3 * (5 * 5)

a = 75

Total

a = 30 + 75

a = 105 in²

PELASE HELP ME I NEED HELP
1-Which or the following ratios are equivalent?


2-find this area.


3-what is the area of this trapezoid?

Answers

Answer:

1) 22:14 and 11:7

2) 39m^2

3) 39cm^2

Aisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $3.75 and a drink for $5. How much would it cost if they bought 5 bags of
popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and
d drinks?

Answers

Answer:

price of 5 bags of popcorn = 3.75 x 5 = 18.75

price of 8 drinks = 5 x 8 = 40

price of p bags of popcorn = 3.75 x p

price of d drinks = 5 x d

Caity is 50 inches tall. Caity's brother Michael is 5 inches taller than she is. What is Michael's height in feet and inches?

Answers

Answer:

55 inches = 4 feet 7 inches

Step-by-step explanation:

Because Michael is 5 inches taller so 50+5=55, then divided by 12 = 4 remainder 7. So that means Michael is 55 inches tall, or 4 feet and 7 inches

What is the area of the figure? (PLSSS HELP QUICKLY!!)

Answers

Answer:

416 cm^2

Step-by-step explanation:

The formula for the area of a trapezoid is:

[tex]\frac{(b1+b2)*h}{2}[/tex]

where b1 and b2 are the bases and h is the height. We can plug what we have into the formula:

[tex]\frac{(14 + 38)*16}{2}[/tex]

[tex]\frac{(52)*16}{2}[/tex]

[tex]52*8[/tex]

416 cm^2

what is the length of side AC to the nearest tenth? (giving brainliest and thanks to all!)

Answers

Pythagorean Theorem.

21^2 - 15^2 = x^2

X^2 = 216

X=14.7

The sum of the ages of Mark, Tim and Jane is 39. In 5 years, the ratio of Mark's
5 age to
Tim's age to Jane's age will be 10:9:8. How old is Mark now?
A.
В.
C.
D.
15
14
13
20​

Answers

Answer:

A. 15

Step-by-step explanation:

10 : 9 : 8

Mark: 10x

Tim: 9x

Jane: 8x

(10x - 5) + (9x - 5) + (8x - 5) = 39

10x - 5 + 9x - 5 + 8x - 5 = 39

27x - 5 - 5 - 5 = 39

27x - 15 = 39

27x - 15 + 15 = 39 + 15

27x = 54

27x ÷ 27 = 54 ÷ 27

x = 2

Mark: 10x - 5

10x - 5

10(2) - 5

20 - 5

15

a man has been driving a second hand car for the past four years. over these four years he managed to save 16% as a deposit of the price of the brand new car he wants to buy. the price of the new car is 750 000... calculate the amount he saved for the deposit​

Answers

Answer:

$120,000

Step-by-step explanation:

Provided that  

The price of the new car is $750,000

And, the saving percent is 16%

We need to calculate out the saving amount for the deposit

Therefore, the saving amount is

= $750,000 × 16%

= $120,000

Basically we multiply these two things to each other in order to get the saving amount

A line segment has endpoints at (-7, 2) and (8,8). What is the x-coordinate of the point on the line segment that is the distance from (-7, 2) to (8,8)?​

Answers

Answer:

Sorry dud it been long time I've not answered 0ne

Answer:

Heyy

Step-by-step explanation:

Did ya get the answer ???

Someone help! What is 4 1/4-5/6?

Answers

Answer:

3 5/12

Step-by-step explanation:

Answer:

3 5/12

Step-by-step explanation:

4 1/4-5/6

Get a common denominator of 12

4 1/4 *3/3 - 5/6 *2/2

4 3/12 - 10/12

Borrow from the 4

3 + 12/12 + 3/12 - 10 /12

3 15/12 - 10/12

3 5/12

fractions are equal to 12 /18 is

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

         2/3 =   4/6 =   6/9        =  8/12

= 10/15 = 12/18 = 14/21 = 16/24

= 18/27 = 20/30 = 22/33 = 24/36

= 26/39 = 28/42 = 30/45 = 32/48

= 34/51 = 36/54 = 38/57 = 40/60

= 42/63 = 44/66 = 46/69 = 48/72

= 50/75 = 52/78 = 54/81 = 56/84

= 58/87 = 60/90 = 62/93 = 64/96

= 66/99 = 68/102 = 70/105 = 72/108

= 74/111 = 76/114 = 78/117 = 80/120

= 82/123 = 84/126 = 86/129 = 88/132

= 90/135 = 92/138 = 94/141 = 96/144

= 98/147 = 100/150 = 102/153 = 104/156

= 106/159 = 108/162 = 110/165 = 112/168

= 114/171 = 116/174 = 118/177 = 120/180

= 122/183 = 124/186 = 126/189 = 128/192

= 130/195 = 132/198 = 134/201 = 136/204

= 138/207 = 140/210 = 142/213 = 144/216

= 146/219 = 148/222 = 150/225 = 152/228

= 154/231 = 156/234 = 158/237 = 160/240

= 162/243 = 164/246 = 166/249 = 168/252

= 170/255 = 172/258 = 174/261 = 176/264

= 178/267 = 180/270 = 182/273 = 184/276

= 186/279 = 188/282 = 190/285 = 192/288

= 194/291 = 196/294 = 198/297 = 200/300

12 inches
What is the circumference of the above circle? Use t = 3.14
inches (do not round your answer)

Answers

Answer:

37.68

Step-by-step explanation:

D=12

PI=3.14

C=(D)(PI)

C=(12)(3.14)

C=37.68

From a stick 2y metres long, I cut a piece of length 4y centimetres. What fraction of the original stick remains?

None of these
49/50
-1/2y
-2y

Answers

Answer:

-1/2y

Step-by-step explanation:

2/4  =  1/2

Answer each part below using only mental math, and describe your method. a. If 39 is 1% of a number, what is that number? How did you find your answer? b. If 39 is 10% of a number, what is that number? How did you find your answer? c. If 39 is 5% of a number, what is that number? How did you find your answer? d. If 39 is 15% of a number, what is that number? How did you find your answer?

Answers

Answer:

Step-by-step explanation:

Given:  39 = 0.01n

Move the decimal point on each side two places to the right:  3900 = n

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of spinning an odd number, flipping heads, then spinning another even number.

Answers

Answer:

spinng of an odd number -50%

fliping heads - 50%

spinin an even number- 50%

Step-by-step explanation:

Janice has a pasta recipe that calls for 2oz. Of cheese for every 3 oz. of cooked pasta find the graph that shows their relationship between cheese and pasta

Answers

where is the graph ?

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer: 120 cubed inches

Step-by-step explanation:

First, multiply them all together. 6x10x2 = 120 cubed inches

Find the specified value for the arithmetic sequence with the given characteristics. & 16 =
52, d = -2 a1 =?

Answers

Answer:

i actually dont know the answer i just need

Step-by-step explanation:

points lol sorry shawty

Jack is building a rectangular fence for his ferret. He has 20 feet of fencing and wants the short side of the fence to be 7 2 feet. How long will the other side of the fence be? Write the answer in decimal form. The long side will be feet.

Answers

Answer:

6.5 feet

Step-by-step explanation:

The guy above me is correct its 6.5 feet

If f(x) 2(3x) 1, what is the value of f(2)?

Answers

⟱ ANSWER ⟱

f(x)= 2 (3x) +1f(2)=2(3×2)+1f(2)=2(6)+1f(2)=12+1f(2)=13

So the ans is 13

HOPE IT HELPS U !!!!!!(:

A fair die is rolled once. Let A be the event of rolling an even number, and let B be the event of rolling a number greater than 3. Find A ∩ B

Answers

Answer:

A ∩ B = {4, 6}

Step-by-step explanation:

A die had 6 faces

S = {1, 2, 3, 4, 5, 6}

If A  be the event of rolling an even number, then;

A = {2, 4, 6}

If B be the event of rolling a number greater than 3, then;

B = {4, 5, 6}

A ∩ B are the values that are common to both sets

A ∩ B = {4, 6}

Find the measure of ZBAC. (The figure is not drawn to scale.)
70
с
A
70
B
140
С
20
D
35

Answers

35 degrees I would say.

mrs. wilson placed the welcome mat shown below on her front door step. what is the area of her welcome mat in square feet?

Answers

Answer:

12.56 square feet

please help quickly pls D:

Answers

the fourth one best summarizes the passage

find the total surface area of a triangular prism 17cm 8cm 7cm 15cm

Answers

Answer:

hey I don't know which one is the hight

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