O is the center of the regular pentagon below. Find its area. Round to the nearest tenth if necessary.
Answers
Answer:
your answer would be 929.24856 or
≈ 929.2
Step-by-step explanation:
tan15∘ = opposite/adjacent= x/17
tan15 ∘= x/17
tan15 /1 = x/17
1/2= 4.55514 ·17
=38.718689
38.718689 · 2 = 77.43738
(77.43738)(12)(multiply the 2)
and your answer should then be....929.24856 or 929.2
i hope i was able to help you!!!
The area of the regular pentagon is 929.2486 or 929.2.
What is regular pentagon?A pentagon is geometrical shapes with" five sides and five angles". The 'pen' represents five and 'gon' represents 'angle' .
According to the question,
The regular pentagon has 'O' as its center and radius of regular pentagon is 17.
Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem
Find the length of the apothem
tan θ = [tex]\frac{opposite}{adajacent}[/tex]
To find θ
The sum of the angles divided by number of sides and to find sum of the angles is (n-2)180.
(12-2)180 = (10)(180).55
= 1800.
To find entire interior angle 1800 divided by 8 we get 225.For the triangle at the bottom of the diagram, the angle is half tha is 225 divided by 5 is 15°.
tan 15° = [tex]\frac{x}{17}[/tex]
(0.2679) 17 = x
x = 4.5543
Perimeter of the polygon = (4.5543)(17)
= 77.4231
Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem
=77.4231 × 12
=929.2476
Hence, The area of the regular pentagon is 929.2486 or 929.2.
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Related Questions
Number 19. Please!hurry!
Answers
Answer:
Step-by-step explanation:
PLS HELP FAST!!
What is the mean of this data set?
3, 5, 10, 11, 15
Answers
Answer:
8.8
Step-by-step explanation:
To find mean, add all of the numbers together, then divide that sum by how many numbers there are.
3 + 5 + 10 + 11 + 15 = 44
44 ÷ 5 = 8.8
hope this helps!
Step-by-step explanation:
3+5+10+11+15÷5=
44 divided by 5 which gives 8.4
therefore that is the mean hope this helps
What does this data mean in terms of likelihood for a person from a particular geographic area to be dairy tolerant
Answers
The data shows a person from regions such as Northern Europe, Middle East 2, and East Africa will have a high dairy tolerance.
What is Dairy tolerance?This is characterized by unpleasant symptoms when the body doesn't produce enough lactase to digest the lactose consumed.
From the data, the regions which shows high dairy tolerance are those from Northern Europe, Middle East 2, and East Africa.
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please help i been stuck on these qustions for a long time
Answers
Answer:
Step-by-step explanation:
Mrs. Johnson bought 12 pound of ham and used it to make 3 sandwiches. She uses the same amount of ham on each sandwich. What fraction of a pound of ham is on each sandwich
Answers
The fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b =[/tex] a divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])
For this case, we're specified that:
Total ham Mrs. Johnson bought = 12 poundsTotal sandwiches that she makes of that amount of ham = 312 pound of ham is divided in 3 parts for 3 sandwiches (assuming equally divided).
That means:
Amount of ham each sandwich gets = 12 divided by 3 = 12/3 = 4 pounds.
To find the fraction of a pound of ham that is on each sandwich, we find what part of a pound is 4 pounds.
If we take 4 times a pound, then we get 4 pounds.
Thus, 4 of a pound = 4 pound
In fraction, we have: 4 pounds = 4/1 fraction of a pound.
Thus, the fraction of a pound of ham that each sandwich has for the case when Mrs Johson used 12 pounds of ham to make 3 sandwiches is 4 pound per ham. or 4/1 fraction of a pound
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PLEASE HELP MEEEE!!!!! 20 POINTS + BRAINLYEST!!!
(No links please)
If a right triangle has a hypotenuse of 13 inches and a leg of 5 inches, how could you use the Pythagorean Theorem to find the missing side? What is the length of the missing side?
A tree casts a 13-foot shadow. The distance from the top of the tree to the far end of the shadow is 22 feet. If the tree is perfectly straight and creates a right angle with the ground. How tall is the tree?
How can you use the Pythagorean Theorem to find the distance between two points on the coordinate plane?
A cone has a radius of 6 inches and a height of 11 inches. What is the volume of the cone?
Answers
Answer:
1) 46.64
2) 17.75
3) 414.69
Step-by-step explanation:
13^2 -5^2=sqrt2172=46.64
22^2-13^2=sqrt315=17.75
V=πr2h
11/3=π·62·11
11/3≈414.69
A plane took 3. 55 hours to finish a journey. If the distance of
the journey was 2840 miles, at what average speed did the
plane travel?
mph
Answers
Answer:
800 mph
Step-by-step explanation:
Use the formula: Distance/Time=Speed
Distance: 2840 miles
Time: 3.55 hours
Now Divide, giving you the speed of 800 mph
Hope this helps!
At the afternoon matinee movie, 2 adult tickets and 4 child tickets cost $38, and 5 adult tickets and 2 child tickets cost $55. Which two equations can be used to determine the price of each ticket?
Answers
Answer:
for two adult and 4 children$38÷6
for five adult and two children
$55÷7
Step-by-step explanation:
they did not mansion that how much adult and children tickets cost so I thought their prizes are the same and I add the values of people and take money devide with the values of people togetherPLS HELP !!! I just dont understand im not smart-
Answers
Answer:
Let's first find the area of the rectangle/rectangle,
we can do this by combining their lengths as a whole
or
we can individually find their area.
Let's find the area of the individual shapes, upper rectangle;
(using the formula)
A = l x w
Where 'l' represents the length and 'w' stands for the width.
Plug in what you know:-
A = 27(24)
A = 648 square feet is the area of the upper rectangle.
Now, the lower rectangle:
A = l x w
Plug in what you know:-
A = 27(32)
A = 864 square feet is the area of the lower rectangle.
Now we find the area of the triangle beside;
(using the formula)
A = BH x 1/2
Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.
Plug in what you know:
A = BH x 1/2
A = 18(32) x 1/2
A = 576 x 1/2
A = 576/2
A = 288 square feet is the area of the triangle beside.
Add up all the areas we've gathered so far:
648 + 864 + 288
= 1,800 square feet is the area of the patio
Answer:
Let's first find the area of the rectangle/rectangle,we can do this by combining their lengths as a wholeorwe can individually find their area.Let's find the area of the individual shapes, upper rectangle;(using the formula)A = l x wWhere 'l' represents the length and 'w' stands for the width.Plug in what you know:-A = 27(24)A = 648 square feet is the area of the upper rectangle.Now, the lower rectangle:A = l x wPlug in what you know:-A = 27(32)A = 864 square feet is the area of the lower rectangle.Now we find the area of the triangle beside;(using the formula)A = BH x 1/2Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.Plug in what you know:A = BH x 1/2A = 18(32) x 1/2A = 576 x 1/2A = 576/2A = 288 square feet is the area of the triangle beside.Add up all the areas we've gathered so far:648 + 864 + 288= 1,800 square feet is the area of the patio
Step-by-step explanation:
Describe the pattern in the sequence. Find the next two terms of the difference.
-2, -5, -8, -11, ...
Answers
Answer:
-14,-17
I hope this is useful
On average, what value is expected for the f-ratio if the null hypothesis is true?.
Answers
The expected value of the f-ratio is the mean value
On average, the expected value for the f-ratio is 1.00 if the null hypothesis is true
How to determine the expected value?From the question, we understand that the null hypothesis is true and the distribution is the F-ratio
The above scenario means that:
The variance of the top and the bottom ratio are the same
When the ratios are the same and the null hypothesis is accepted, then the expected value is 1.00
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Trent bought four pounds of deli turkey for $2.68 per pound. How much did he spend? $8.42
Answers
Because Trent bought four pounds, you would multiply $2.68 times 4.
How many 15° angles are in a circle?
Enter your answer in the box.
angles
Answers
Answer:
24
Step-by-step explanation:
a circle is 360
we can divide 360 by 15
360 divided by 15 =
24
Find the volume of the following rectangular prism in terms of x, if the length is 4x + 0. 5, the width is 1/2 x, and the depth is x -2
Answers
The volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)
Volume of a prismThe formula for calculating the volume of a prism is expressed as
V = lwh
l is the length
w is the width
h is the height
Given the following
l =4x + 0.5
w = 1/2x
h = x - 2
Find the volume
V(x) = (4x+ 0.5)(0.5x)(x - 2)
Hence the volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)
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Find the Missing Numerator and Denominator
3/? x ?/4 = 9/20
PLEASE HELP I WILL MARK YOU AS BRAINLEST!
Answers
Answer:
missing denominator: 5
missing numerator: 3
Step-by-step explanation:
You know the product of fractions is formed by multiplying numerators and multiplying denominators.
[tex]\dfrac{3}{d}\times\dfrac{n}{4}=\dfrac{3n}{4d}=\dfrac{9}{20}[/tex]
This gives rise to two equations:
3n = 9 ⇒ n = 3
4d = 20 ⇒ d = 5
The missing denominator is 5; the missing numerator is 3.
__
[tex]\dfrac{3}{5}\times\dfrac{3}{4}=\dfrac{9}{20}[/tex]
Use the given line of best fit to approximate the rate of change relative to the scatter plot below.
A.
-3/2 chores done/internet hour
B.
-3/4 chores done/internet hour
C.
-1/2 chores done/internet hour
D.
-1 chore done/internet hour
Answers
Answer: it’s a
Step-by-step explanation:
Answer:
its 1 chores per hour
Step-by-step explanation:
I did the study
need some help with the question in the image
Cheers
Answers
b) 0.65 cm
c) 1.78 m
d) 3kg
please answer this question
Answers
Answer:
e
Step-by-step explanation:
the coordinates of the midpoint are the average of the coordinates of the endpoints.
let coordinates of C = (x, y ) , then with A = (- 1, 2 ) calculate the average and equate to the coordinates of B (3, 2 )
[tex]\frac{x-1}{2}[/tex] = 3 ( multiply both sides by 2 to clear the fraction )
x - 1 = 6 ( add 1 to both sides )
x = 7
and
[tex]\frac{y+2}{2}[/tex] = 2 ( multiply both sides by 2 )
y + 2 = 4 ( subtract 2 from both sides )
y = 2
coordinates of C = (7, 2 )
1. On a certain TV station, there are 4 commercials during
every 30-minute period. How many minutes of TV do you
need to watch to have watched more than 10 commercials?
2018 30 31 SW
Answers
Average minute per commercial
30/4 =7.5
For 10 commercials it will be
10*7.5 = 75 minutes
Ik this isn’t a math question but I want to know how much this beanie boo is cause I’m planning on selling it
Answers
Step-by-step explanation:
That's a rare Halo II angel bear, especially since it has a brown nose. Don't sell it less than $40, you can check prices on many websites
Find the surface area of the prism.
HEEEELP PLEASE!!!!!
Answers
Let the vertices of the prism be A, B, C, D, E, F, G, and H. (Refer to image).
From the image, we can tell that the faces of the prism are:
ABFG HDCE FBCE GADH GFEH ABCD
Part II: Recalling the surface area formulaSurface area formula:
[tex]\text{Surface area = Sum of the area of it's faces}[/tex]
The faces are ABFG, HDCE, FBCE, GADH, GFEH, and ABCD (Previous Part)
[tex]\implies \text{SA = A(ABFG) + A(HDCE) + A(FBCE) + A(GADH) + A(GFEH) + A(ABCD)}[/tex]
Part III: Determining the surface area of the prismIf we look at the prism carefully, we can tell that:
ABFG = DCEH
GADH = FBCE
GFEH = ABCD
Therefore, the new equation is:
[tex]\implies \text{SA = 2[A(ABFG)] + 2[A(GADH)] + 2[A(GFEH)]}[/tex]
If we look carefully, we can see that GADH and ABFG are rectangles. Therefore, their areas will be length multiplied by width. Now, substitute the dimensions of the rectangles in the surface area.
[tex]\implies \text{SA} = 2[4 \times 4] + 2[2.5 \times 4] + \text{2[A(GFEH)]}[/tex]
The area of a parallelogram is the base multiplied by the height.
[tex]\implies \text{SA}= 2[4 \times 4] + 2[2.5 \times4] + 2[4 \times 2]}[/tex]
Finally, simplify the equation to determine the surface area.
[tex]\implies \text{SA} = 2[16] + 2[10] + 2[8][/tex]
[tex]\implies \text{SA} = 32 + 20 + 16[/tex]
[tex]\implies \boxed{\text{SA = 68 m}^{2} }[/tex]
What is the image of ( 3 , − 2 ) after a reflection over the line y = x?
Answers
Answer:
(2,-3)
Step-by-step explanation:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and the signs are changed.
(-2, 3)
Solution:Remember, when you reflect a point over the line y=x, the x- and y-coordinates switch places.So if we had a point with the following coordinates: (4, 5) and we reflected it over the line y=x, then the coordinates of the point are (5, 4)Therefore, if we take a point (3,-2) and reflect it over the line y=x, then the coordinates of the point are now (-2, 3)Hope it helps.
Do comment if you have any query.
SOLVE CORRECTLY FOR BRAINLIEST! QUESTION DISPLAYED BELOW:
Answers
Answer:
2
Step-by-step explanation:
We are given:
t = -11
u = 11
v = 1
Plug in the values to (tv-u) / tv:
((-11)(1) - 11) / (-11)1
(-11-11) / -11
-22 / -11
= 2
URGENTLY NEEDING HELP!!!!
Answers
Answer:
(6,-1)
Step-by-step explanation:
it's given 2m and m is at point (4,-3) increasing each point by 2 = (6,-1).
not sure
Marnie works at the guest check-in desk during nights at the Hilton Hotel in Portland, OR. She has the ability to determine how many hours she works each week. The hotel grants Marnie an increase in her hourly wage from $14 per hour to $20 per hour. How will Marnie respond
Answers
If the hotel grants Marnie an increase in her hourly wage from $14 per hour to $20 per hour. Her respond is: She will increase her work hours.
What is wages?Wages can simply be defined as the money earn per hour or money earn on a daily basis for work done.
Assuming her wages was increase from $14 per hour to $20 per hour. Marie will have to increase her work hours if the increase in wage of the amount of $20 is positive as this will enable are to earn more money .
Therefore Marnie will increase her work hours.
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what is the solution to the exponential equation (½)x = 32
Answers
Answer:
Step-by-step explanation:
log(1/2) (32) =x
What will be the coordinates of point A after a reflection across the x-axis?
A
(6,−2)
B
(6,−5)
C
(−1,5)
D
(−6,5)
Answers
Answer:
OPTION B
Step-by-step explanation:
(6,-5)
I HOPE IT HELPED YOU
If x is a positive acute angle and cos x = 1/2, what is the value of sin 1/2 x?
A)1
B)2
C) square root 3/ 2
D)1/2
Answers
Find the base of a parallelogram with an area of 18 square inches and a
height of 2 inches.
Answers
Answer:
9 inches
Step-by-step explanation:
Formula: ( area of a parallelogram)
area = base × height
_______________
then
base = area/height
= 18/2
= 9
Jenna bought 3 shirts for $62.25 if each shirt cost the same amount what is the cost of one shirt
Answers
Answer:
The cost of one shirt is $20.75.
Step-by-step explanation:
Total Cost/3 Shirts = The Cost of 1 Shirt
62.25/3 = 20.75