What is the area of a regular dodecagon with 11-inch sides?
Answer in complete sentences and include all relevant calculations.
Answers
Answer:
1354.7 square inches
Step-by-step explanation:
The area of a regular n-sided polygon with side length s can be found using the formula ...
A = n·s²/(4·tan(180°/n))
For n=12 and s=11, the area is ...
A = (12(11²)/(4·tan(15°)) ≈ 1354.7 . . . . square inches
Answer:
[tex]Area = 1353.9 \: {inches}^{2} [/tex]
Step-by-step explanation:
Hint :
Area of a Regular Dodecagon
A = [tex]3 {s}^{2} (2 + \sqrt{3} )[/tex]
Answer :
The area of a regular dodecagon with 11-inch sides = [tex]3 {(11)}^{2} (2 + \sqrt{3} )[/tex]
[tex]Area = 3( {11)}^{2} (2 + \sqrt{3}) \\ = 3 \times 121 \times 3.73 \\ = 1353.9 \: {inches}^{2} [/tex]
Hope it is helpful....Related Questions
PLEASE HELP ASAP NUMBER 8 AND 9 SHOW WORK AND I WILL GIVE BRAINLIEST
Answers
Answer:
question 8
Step-by-step explanation:
y = 4
2x + 3y = 22
put y = 4 into equation 2
2x + 3 ( 4) = 22
2x + 12 = 22
2x = 22 - 12
2x = 10
x = 5
therefore x = 5 and y = 4
please answer a little quiet
IT is urgent
.Factorize: 4(x-y)^2 -9
.Evaluate : 1001×99
Answers
Answer:
1. (2x - 2y)² - 9
2. 99099
Step-by-step explanation:
We know the a+b formula :
(a-b)² = a² - 2ab + b²
1. 4(x-y)^2 -9
4(x² - 2xy + y²) - 9
4x² - 8xy + 4y² - 9
(2x - 2y)² - 9
2. 1001 × 99
= 99099
1001
× 99 ----------
9009
9009× ----------- 99099
help me I got 25 missing assignments
Answers
Answer:
9.07 >9.008
Step-by-step explanation:
Curtis used grapes, strawberries, and apples in a fruit salad. Use the cluster below to find the amount of each fruit used.
Answers
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y= -2/5x-6
Step-by-step explanation:
y int is at -6
rise/run= -2/5
A researcher’s garden contains 90 sweet pea plants,
which have either white or purple flowers. About 70 of the plants have purple flowers, and about 20 have white flowers.
Would you expect that one plant randomly selected from the garden will have purple or white
flowers? Explain
Answers
Hey buddy I am here to help!
No, because according to theoretically probability most of the sweet pea plants have purple flowers causing that one plant to have the probability purple flowers more than of the white flowers!
Here is teh mathematical way-
total plants = 90
purple flowers = 70
white flowers = 20
higher probability of flower = 70/90
Hope it helps!
Plz mark me brainliest
Work out the surface area of the cylinder. (Image attached)
Answers
Answer:
[tex]area = 2\pi {r}h \\ = 2 \times 3.14 \times 10 \times 22 \\ = 1382.3 \: {cm}^{2} [/tex]
Answer:
2010.62cm
Step-by-step explanation:
A =
[tex]2\pi \: rh + 2\pi {r}^{2} [/tex]
[tex] = 2\pi(10)(22) + 2\pi( {10}^{2} )[/tex]
= 1382.30 + 628.32
=2010.62
Find the volume for the cone
Answers
Answer:
1526.81 mi cubed
Step-by-step explanation:
hope this helped!
Answer:
V=1/3πr2h=1/3*3*9*9*18
=1458mi3
(π=3)
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Answers
bro I can't understand the question
A car covers a distance of 66.7 km in 1 litre of petrol .How much distance will it cover in 10 litre of
petrol ?
Answers
Answer:
666.7
Step-by-step explanation:
66.7*10=666.7
the reason its not 667 is beacuse of the repeateing rule like 1/3 is .33333
and 2/3 is .66667 the reason there is a 7 at the end is becuse you round up so i doesn't run on forever
Answer:
667 km
Step-by-step explanation:
66.7 km / 1 liter
Y = 66.7x
X = Liters of Petrol
Y = Total KM Traveled
Y = 66.7 (10)
Y = 667km
SOMEBODY HELP ME ASAP
Answers
Answer:
B. 3x = 90
Step-by-step explanation:
m<QPS + m<RPS = m<QPR
Let m<RPS = x
Then m<QPS = 2x
2x + x = 90
3x = 90
Answer: B. 3x = 90
An underwriter is analyzing the heights of his clients. He categorizes 35% as tall, 40% as medium height, and 25% as short. He then randomly picks two clients (from his very large client base). What is the probability that neither is tall and at most one is medium height
Answers
Answer:
0.2625 = 26.25% probability that neither is tall and at most one is medium height.
Step-by-step explanation:
Desired outcomes:
Short - Short
Short - Medium
Medium - Short
Probability of two short:
25% are short, so:
[tex]P(A) = (0.25)^2 = 0.0625[/tex]
Probability of short medium or medium short
25% short, 40% medium. So
[tex]P(B) = 2*0.25*0.4 = 0.2[/tex]
What is the probability that neither is tall and at most one is medium height?
[tex]P = P(A) + P(B) = 0.0625 + 0.2 = 0.2625[/tex]
0.2625 = 26.25% probability that neither is tall and at most one is medium height.
A Chippendale style curio with a selling price of $229 was advertised at $129. The cost price
is $78, and overhead is estimated at 45% of the cost price. Determine whether a sale results in a profit or a loss
Answers
Answer:
the results of the sale is profit
Pls can some help me
Answers
9514 1404 393
Answer:
A. 17.5 miles
Step-by-step explanation:
Your knowledge of triangles tells you the hypotenuse is longer than the long leg of the triangle, and is shorter than than the sum of the two legs. This means the difference between Michael's distance and Leah's distance will be strictly less than 25 miles.
The only answer choice in that range is 17.5 miles.
__
If you want to do the math, you can find Michael's distance to be ...
38 +25 = 63 miles.
Leah's distance will be ...
√(38² +25²) = √2069 ≈ 45.5 miles.
Then Michael's excess distance is ...
63 -45.5 = 17.5 miles
Can someone please help me with this question they are 2 different questions, separate them please I need them right now ):
Answers
7.- BC = 22
8.- EF= 8
Explanation
I don’t really now how to explain this in English but I’ll try.
Since both triangles are congruent, you just have to take the similar segments. For question 7, BC and EF are similar, so you write it down as a division, then you have to equally to the adjacent segments, in this case will be AB/ DE
BC/EF = AB/DE
Then you only have to multiply them in cross, so it would be
BC*DE = EF*AB
U will have function and now u have to find x (cabin this case represents the length of the BC segment)
x*5 = 10*11
Now u clear the x, and it gonna look like
x= 10*11/5
U solve that and the answer is 22
I’ll attach some images in case u don’t understand
Answer:
7. [tex]BC=22[/tex]
8. [tex]EF=8[/tex]
Step-by-step explanation:
7.
It is given that triangle (ABC) is similar to triangle (DEF). This means that triangle (DEF) is a scaled version of the triangle (ABC). Between these two triangles, there is a ratio. This ratio referred to as the ratio of similitude, is a factor that one multiplies a side of the triangle by, to get the length of the corresponding side in the other triangle. This number can be found by dividing the corresponding sides in the triangle.
As per the given picture, side (AB) corresponds to side (DE). Therefore divide side (AB) by (DE) to find the ratio of similitude,
[tex]\frac{AB}{DE}=\frac{10}{5}=2[/tex]
Multiply side (EF) by the ratio of similitude to find the length of its corresponding side (BC).
[tex]2(EF) = 2(11) = 22[/tex]
[tex]BC=22[/tex]
8.
The triangles (ABC) and (DEF) are similar. One can use the same logic applied to the last problem to solve this problem. For further reference, read the intro written to explain the process used to solve the problem (7).
One can see that sides (AB) and (DE) are corresponding sides, divide (DE) by (AB) to find the ratio of similitude;
[tex]\frac{DE}{AB}=\frac{4}{6}=\frac{2}{3}[/tex]
Now multiply this number by side (BC) to find the length of the corresponding side (EF);
[tex](BC)*\frac{2}{3}=EF\\12*\frac{2}{3}=EF\\8=EF[/tex]
A committee must be formed with 3 teachers and 3 students. If there are 10 teachers
to choose from, and 15 students, how many different ways could the committee be
made?
Answers
Answer:
54,600 ways
Step-by-step explanation:
i hope you understand this
Find the unknown side length, x. Write your answer in simplest radical form.
A. 15
B. 5 square root of 10
C. 2 square root of 70
D. 4 square root of 37
Answers
Answer:
C .2 square root of 70 skaskaskaska
Use Newton''s method to find the second and third approximation of a root of x^3 + x + 3= 0 starting with x1 = -1 as the initial approximation.
The second approximation is x2= ?
The third approximation is x3= ?
Answers
9514 1404 393
Answer:
see attachment
Step-by-step explanation:
The iterator for Newton's method gives the next approximation (x') as ...
x' = x -g(x)/g'(x) . . . . . where g'(x) is the derivative of g(x)
We have defined g(x) = x^3+x+3, the function we want the zero of. We have defined the iteration function to be f(x).
__
Additional comment
Modern graphing calculators not only make the iteration trivially simple, they also give a first approximation good to 2 or 3 decimal places in many cases.
If the area of a circle is 154cm2 what is the radius of that circle
Answers
Answer:
7
Step-by-step explanation:
If you use the pi button:
the radius is 7
154cm² ÷ pi = 49
Square root of 49 = 7
Use the distributive property to remove the parenthesis: (m + 2) 3.
Answers
Answer:
Step-by-step explanation:
(m+2)3
m*3+2*3
3m+6
distributive property example:
a(b+c)
=a*b+a*c
=ab+ac
[tex]3 \: m + 6[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using the distributive formula, [tex]\sf\purple{a\: ( \:b + c\: ) = \:a b + a c}[/tex], we have
[tex](m + 2) \: 3 \\ = m \times 3 \: + \: 2 \times 3 \\ = 3 \: m + 6[/tex]
Note:-
[tex]\sf\red{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Solve using the quadratic formula
Answers
Answer:
-5, -1/2
Step-by-step explanation:
I could only show half of the steps, but you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps.
A little boy stands on a carousel and rotates around the ride 4 times. If the distance between the Little boy and the center of the carousel is 6 feet, then how many feet did the little boy travel?
Answers
in which diagram are <1 and <2 supplementary? I'm not sure if its d.
Answers
Answer:
D
Step-by-step explanation:
Measure of 1 and Measure of 2 will add up to 180 degrees
Answer:
D
Step-by-step explanation:
Supplementary means they add to 180,
In D they form a straight line which is 180 degrees
Cora's dad has asked Cora and her little brothers to rake the leaves in their yard. They rake all afternoon and fill a number of bags with leaves. Then, when Cora isn't looking, her brothers empty 6 of the bags to make a giant leaf pile! Cora is frustrated that only 5 bags of leaves remain. What equation can you use to find the total number of bags b that Cora and her brothers fill with leaves?
Answers
Answer:
11
Step-by-step explanation:
because they empty 6 bags and there are 5 bags left to that is 11 all together
The total number of bags of leaves b is given by the equation b = 11 bags
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the total number of bags be = b
The number of bags emptied by Cora's brother = 6 bags
The number of bags left with Cora = 5 bags
So , the equation will be
The total number of bags b = number of bags emptied by Cora's brother + number of bags left with Cora
Substituting the values in the equation , we get
The total number of bags b = 6 + 5
The total number of bags b = 11 bags
Therefore , the value of A is 11 bags
Hence , the number of bags of leaves is 11 bags
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
If the Circumstance of wobble ball is 242cm what is the surface area?
Answers
Answer:
1,166 is the SA
correct me if im wrong somehow
Step-by-step explanation:
a wobble ball is a sphere
circumference=8(pi)
242=8(3.14)
so 242 divided by 25.12
this ends up with 9.633757961783439, which is the radius of the circumference
SA of a sphere= 4(pi)r²
SA=4(3.14)9.633757961783439²
SA=4(3.14)92.80929246622581
SA=1,165.684713375796
rounded to the nearest whole # = 1166
5/9 (t +3) =40
PLSSS HELP MEEE
Answers
Answer:
Step-by-step explanation:
Ok so T = 69
The number of employees for a certain company has been decreasing each year by 7%. If the company currently has 510 employees and this rate continues, find the number of employees in 11 years.
Answers
Answer:
230
Step-by-step explanation:
a = 510(0.93)^t
a = 510(0.93)^11
a = 229.5528082951
Rounded
a ≈ 230
help please !!!!!!!!!!!!!!!
Answers
9514 1404 393
Answer:
yes
Step-by-step explanation:
The triangles are given as right triangles. Hypotenuses QT and RS are given as congruent.
We also have XS ≅ TP. By the addition property of equality, this means ...
XS +ST ≅ ST +TP
By the segment sum theorem, this means ...
XT ≅ SP
XT and SP are the corresponding legs of the right triangles. So, we have corresponding hypotenuses and corresponding legs congruent. This lets us conclude ΔXQT ≅ ΔPRS by the HL theorem.
I need some help!!! I will try to give brainliest!!!
Answers
Answer:
54 ft cubed
Step-by-step explanation:
Area of this rectangular prism is Base, Height, Length all multiplied.
3 * 3 * 6
9 * 6
=54
Solve for x. Show your work.
-1/2x < -12x
Answers
Answer: x > 24
Step-by-step explanation: -12x/-1/2x = 24. 24 is the given when dividing. The sign is flipped after dividing negatives.
Answer:
x < 0
Step-by-step explanation:
it's the same thing just with that slash( / ).........