A decagon with points labeled a through j clockwise. point a is the top left point. if this regular decagon is rotated counterclockwise by 3 times the smallest angle of rotation, which vertex will be in the top position?

Answers

Answer 1

The e vertex of the decagon will be in the top position after rotating it counterclockwise by 3 times the smallest angle of rotation.

Which vertex will be in the top position of the regular decagon?

A regular decagon has 10 sides of equal lengths with points labeled 'a' through 'j' clockwise. It is given that the point a is the top-left point. Hence, the the vertex which is in the the top position currently is 'b'.

Now, the smallest angle of rotation will be the angle between the two sides of the decagon.

In the first rotation by the smallest angle in counterclockwise direction, point 'c' will come to the top position. In the second rotation by the smallest angle in counterclockwise direction,  point 'd' point will become the top most vertex. Finally, after the third similar rotation, 'e' vertex will be in the top position of the decagon. (Refer the attached diagram)

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A Decagon With Points Labeled A Through J Clockwise. Point A Is The Top Left Point. If This Regular Decagon

Related Questions

A piece of copper wire of length 200 m has a diameter of 1.2 mm.
(a) Find the volume of the wire.
(b) If the density of copper is 8.9 g/cm3, find the mass of the wire.

Answers

The volume of the copper wire is 226.080 cm³ and the mass of the wire is 2,012.112 g/cm³.

Given that, the length of copper wire=200 m=200000 mm and the diameter of the copper wire=1.2 mm.

We need to find the volume of the copper wire.

What is the formula to find the volume of the cylinder?

The formula to find the volume of a cylinder is πr²h.

Now, the volume of the copper wire=πr²h=[tex]\frac{22}{7} \times (0.6)^{2} \times 200000=2,26,080[/tex] mm³=226.080 cm³

If the density of copper is 8.9 g/cm³, find the mass of the wire.

We know that [tex]Density=\frac{Mass}{Volume} }[/tex].

⇒8.9 g/cm³=[tex]\frac{Mass}{226.080}[/tex]

⇒Mass=2,012.112 g/cm³

Therefore, the volume of the copper wire is 226.080 cm³ and the mass of the wire is 2,012.112 g/cm³.

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How do the graph of f(x) and f^(-1)(x) relate?
A.They are rotations of each other.
B.They are reflections of each other.
C.They are the exact same graph.
D.They are translations of each other.

Answers

The correct option regarding the inverse function is given by:

B.They are reflections of each other.

What is the relation between the graphs of the original function and it's inverse?

The inverse function is the reflection of the original function over the line y = x, that is, they are reflections of each other, hence option B is correct.

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Analyze the diagram below and complete the instructions that follow.



Solve for y.


11
21
24
42

Answers

The value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.

What is a perpendicular line?

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other known as parallel lines.

We have a perpendicular line shown in the picture.

The measure of the angle (4x - 6) is equal to 90 degree.

4x - 6 = 90

4x = 96

x = 24

Similarly, the measure of the angle (x + 6y) is equal to 90 degree:

x + 6y = 90

Plug x = 24

24 + 6y = 90

y = 11

Thus, the value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.

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The median height of 11 footballers is 1.85m.
Only one footballer has a height of 1.85m
How many footballers have a height under 1.85m

Answers

5 footballers because if 1.85 is the median, or the middle number, there has to be five players above that height and 5 players below.

HELP ME PLEASEEE

Beatrice writes down every expression that appears in this problem set, one after the other, linking them with
+ signs between them. She is left with one very large expression on her page. Is that expression a polynomial expression? That is, is it algebraically equivalent to a polynomial?
What if she wrote - signs between the expressions instead?
What if she wrote × signs between the expressions instead?

Answers

Is that expression a polynomial expression?

yes because they are terms linked into one expression.

What if she wrote - signs between the expressions instead?

it would still be considered a polynomial.

What if she wrote × signs between the expressions instead?

no because it would be one huge term

What is the area of the triangle pictured?
A. 612 in2
B. 540 in2
C. 555 in2
D. 531 in2

Answers

Answer:

D. 531[tex]in^{2}[/tex]

Step-by-step explanation:

I suppose these are rectangles and not triangles.

Area of Rectangle = Length x Breadth

Area of Large Rectangle = 21 x 18

= 378[tex]in^{2}[/tex]

Area of Small Rectangle = 17 x 9

= 153[tex]in^{2}[/tex]

Total Area = Area of Large Rectangle + Area of Small Rectangle

= 378 + 153

= 531[tex]in^{2}[/tex]

The domain of the function

Answers

Step-by-step explanation:

[-5, 4] because it is an empty circle, meaning less than

5. Walker is reading a book that is 792 pages. He reads
15 pages a day during the week, and 25 pages a day
during the weekend. After 5 weeks of reading, how
many pages does Walker still have left to read before
he finishes the book?
Let r represent the pages left to read.
Equation:
Walker has
to read.
pages left

Answers

Forming Equations from Word Problems

To form equations from word problems, we can derive mathematical operations as well as variables from the given information.

In this case, each time Walker reads a certain number of pages, we subtract that from the total number of pages left to know how many pages is left to read.

Solving the Question

Let r represent the pages left to read.

792 pages in total

r = 792

Walker reads 15 pages a day during the week and 25 pages a day during the weekend.

There are 5 weekdays, and he reads 15 pages each of those days. ⇒ r = 792 - 5×15There are 2 weekend days, and he reads 25 pages each of those days.
r = 792 - (5×15 + 2×25)

5 weeks have passed

Multiply the terms representing the number of pages he reads a week by 5, for 5 weeks.
r = 792 - (5×15 + 2×25)×5

Answer

r = 792 - (5×15 + 2×25)×5

Timothy is 13 5/6 years old. Camden is 1 1/3 years younger than Timothy and Jane is 1 1/4 years younger than Camden. How old is Jane?

Answers

Answer:

Jane is 11 1/4 years old.

Step-by-step explanation:

Subtract all of the numbers given.

[tex]13\frac{5}{6} -1\frac{1}{3} -1\frac{1}{4}[/tex].

To subtract this, we need to find a common denominator.

A common denominator in this situation is 12. To do this multiply the 5 and the 6 of 5/6 by 2. Multiply the 1 and the 3 of 1/3 by 4. And multiply the 1 and the 4 1/4 by 3.

The new expression will look like this:

[tex]13\frac{10}{12} -1\frac{4}{12} -1\frac{3}{12}[/tex].

Now we can subtract.

[tex]13\frac{10}{12} -1\frac{4}{12} -1\frac{3}{12}=11\frac{3}{12}[/tex]

Reduce the answer.

[tex]11\frac{3}{12}=11\frac{1}{4}[/tex]

In decimal form 11.25

Hope this helps!

If not, I am sorry.

William can pack 60 toys in 4 hours. Find the unit rate with which he packs toys.
O14 toys/hour
O13 toys/hour
15 toys/hour
16 toys/hour

Answers

the answe is 16 toys/hour
Answer is 15 toys/ hour
Reason

60 toys. X toys. Divide by 4 = 15
_______. ________
4 hours. 1 hour. Divide by 4 = 1

Find the measure of ZDCF. C F mDF = 49 G E MEG = 127 Find the measure of angle DCF​

Answers

Answer:

Step-by-step explanation:

Comment

If two secants intersect outside a circle (as these two do) then the angle at which they meet is 1/2 the difference between the intersected arcs. Put much simpler <DCF = 1/2 (arc EG - arc DF)

Givens

Arc EG = 127

Arc DF = 49

Solution

<DCF = 1/2(127 - 49)

<DCF = 1/2(78)

<DCF = 39

does someone mind helping me with this question? Thank you!

Answers

Answer:

[tex]\bf -20[/tex]

Step-by-step explanation:

[tex]\bf 2(xy-7)[/tex]  [tex]\bf when[/tex]  [tex]\bf x=-1/y=3[/tex]

Substitute with x and y with 3:-

[tex]\bf 2\left(\left(-1\right)(3)-7\right)[/tex]

First, Multiply -1 and 3 = -3

[tex]\bf 2(-3-7)[/tex]

Subtract  7 from -3 = -10

[tex]\bf 2(-10)[/tex]

Multiply 2 and -10 = -20

[tex]\bf -20[/tex]

______________________

Solution :

2(xy - 7)

2((-1×3) - 7)

2(-3 - 7)

2 × -10

-20

8.
(05.04 LC)

The amount of money in tips earned by four restaurant servers waiting on 10 tables is represented by the following data sets.

Alyssa {3, 6, 2, 8, 12, 14, 5, 7, 7, 8}
Bryant {9, 2, 7, 50, 0, 5, 2, 8, 6, 8}
Camila {1, 9, 10, 3, 0, 12, 10, 9, 8, 2}
Devon {4, 2, 8, 15, 20, 7, 5, 0, 6, 2}

Which data set has the greatest interquartile range? (1 point)
Alyssa

Bryant

Camila

Devon

Answers

Camila's data set has the greatest interquartile range and the value of IQR = 8 option third is correct.

What is the range?

It is defined as the difference between the maximum value in the data set to the minimum value in the data set.

We have:

The amount of money in tips earned by four restaurant servers waiting on 10 tables is represented by the following data sets:

Alyssa {3, 6, 2, 8, 12, 14, 5, 7, 7, 8}

Bryant {9, 2, 7, 50, 0, 5, 2, 8, 6, 8}

Camila {1, 9, 10, 3, 0, 12, 10, 9, 8, 2}

Devon {4, 2, 8, 15, 20, 7, 5, 0, 6, 2}

The IQR for Alyssa:

IQR = Q3 - Q1

IQR = 8 - 5 = 3

The IQR for Bryant:

IQR = Q3 - Q1

IQR = 8 - 2 = 6

The IQR for Camila:

IQR = Q3 - Q1

IQR = 10 - 2 = 8

The IQR for Devon:

IQR = Q3 - Q1

IQR = 8 - 2 = 6

Thus, Camila's data set has the greatest interquartile range and the value of IQR = 8 option third is correct.

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Find the greatest common factor of these two expressions.
28y^7x^2 and 8y^8v^4x^6

Answers

Answer:

4y⁷x²

Step-by-step explanation:

Finding GCF:

    Prime factorize each expression.

28y⁷x² = 2 * 2 * 7 * y⁷ * x²

8y⁸v⁴x⁶ = 2 * 2 * 2 * y⁸ * v⁴ * x⁶

GCF = 2 * 2 *y⁷*x²

        = 4y⁷x²

Which point is on the graph of f(x) = 3.4^x
O A. (1, 12)
OB. (0, 12)
O C. (12, 1)
O D. (0,0)

Answers

simply plug in each x-value and see if the y-value matches the one in the pair.

if the equation above is 3.4 to the power of x, then there is none of these are on the graph of f(x)

but if the equation that you are trying to convey is f(x) = 3 * (4^x), then the answer is "a", since f(1) = 3* (4^1) which is the same as 3* 4, which equals 12.

The point on the graph f(x) = 3.4ˣ is (0, 1)

None of the given options is correct.

What is a function?

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.

To determine which point is on the graph of f(x) = 3.4ˣ, we need to substitute the given x-coordinate into the function and see if we get the given y-coordinate.

Let's try each option:

A. (1, 12): f(1) = 3.4¹ = 3.4, so this point is not on the graph of f(x) = 3.4ˣ.

B. (0, 12): f(0) = 3.4⁰ = 1, so this point is not on the graph of f(x) = 3.4ˣ.

C. (12, 1): f(12) = 3.4¹² ≈ 108089.7, so this point is not on the graph of f(x) = 3.4ˣ.

D. (0, 1): f(0) = 3.4^0 = 1, so this point is on the graph of f(x) = 3.4ˣ.

Therefore, the point (0, 1) is on the graph of f(x) = 3.4ˣ. The answer is option D.

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which expresion is equivalent to the given expresion


(3m-4)³(3m³)

Answers

The equivalent expression of [tex](3m^{-4})^3 * (3m^3)[/tex] is [tex]729m^{-9}[/tex]

How to determine the equivalent expression?

The expression is given as:

[tex](3m^{-4})^3 * (3m^3)[/tex]

Expand the brackets

[tex]27m^{-12} * 27m^3[/tex]

Apply the law of indices

[tex]729m^{-12+3}[/tex]

Evaluate the sum

[tex]729m^{-9}[/tex]

Hence, the equivalent expression of [tex](3m^{-4})^3 * (3m^3)[/tex] is [tex]729m^{-9}[/tex]

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Solve for x in the diagram below.

Answers

Answer:

x = 20°

Step-by-step explanation:

x° + 2x°+ (x+10)° = 90°

4x° + 10° = 90°

4x° = (90 -10)°

x° = (80/4)°

x = 20°

Hope this helps

Answer:

x = 20

Step-by-step explanation:

Key points:

understanding diagram notationunderstanding the Angle Addition Postulate

Diagram notation

In the diagram, there are three angles, each with an expression representing the measure of their angle (in degrees).  Angles are adjacent (next to each other with the same vertex) such that collectively they form one large angle.

The small square in the lower left corner means that the large angle is a right angle.  All right angles are 90°.

Note:  The expressions for each angle all have a degree marking, so each angle is measured in degrees.  The unknown value x, is a number without any units, the expression is simplified, and then the units "degrees" are applied.  So in the end, the answer for "x" will not have units; "x" will just be a number.

Angle Addition Postulate

The Angle Addition Postulate states that the sum of the measures of two adjacent angles is equal to the measure of the large angle formed by those adjacent angles.  

[tex](\text{measure of first angle})+(\text{measure of second angle})=(\text{measure of the combined angle})[/tex]

Solving the given problem

By applying the Angle Addition Postulate a couple times, the sum of the measures of all three angles in the diagram is equal to the measure of the large angle formed by those three angles.

[tex](\text{measure of first angle})+(\text{measure of second angle})+(\text{measure of third angle})=(\text{measure of the large right angle})[/tex]

or

[tex](x)+(2x)+(x+10)=(90)[/tex]

From here, to solve for x, we'll need to combine like terms, isolate x, and simplify.

Start with the Associative Property of Addition to combine like terms:

[tex](x+2x+x)+10=90\\4x+10=90[/tex]

To isolate x, subtract 10 from both sides and simplify...

[tex](4x+10)-10=(90)-10\\4x=80[/tex]

... then divide by 4 on both sides and simplify.

[tex]\dfrac {4x}{4}=\dfrac {80}{4}\\x=20[/tex]

So, x=20

Variables y and x have a proportional relationship, and y = 21 when x = 14.

What is the value of x when y = 12?

Enter your answer in the box.

x =
please help

Answers

Answer:

18

Step-by-step explanation:

We know that y is 1.5 times x, so when x = 12, y = (1.5)(12)=18

This directly proportional relationship between p and q is written as p∝q  where that middle sign is the sign of proportionality. The value of x is 8, when the value of y is 12.

What is the directly proportional and inversely proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

 p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as p∝q  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.


Given Variables y and x have a proportional relationship, therefore, we can write,

y ∝ x

y = k × x

21 = k × 14

21/14 = k

k = 1.5

Therefore, the equation for the relationship between x and y can be written as,

y = 1.5x

now, the value of x when the value of y is 12 is,

12 = 1.5 × x

x = 8

Hence, the value of x is 8, when the value of y is 12.

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What are the y-intercept and the asymptote of g(x) = 4x – 6?

(0, –5); y = –6
(0, –2); y = –4
(0, 4); y = 6
(0, 6); y = 4

Answers

The y-intercept of the line is (0 -6). The given function has no vertical and horizontal asymptotes

y-intercept and asymptotes of an equation

A linear equation is an equation that has a leading degree of 1. Given the equation

g(x) = 4x - 6

The y-intercept occurs at a point where x = 0

g(0) = 4(0) - 6

g(0) = -6

Hence the y-intercept of the line is (0 -6)

The given function has no vertical and horizontal asymptotes

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In the triangle above, what is the measure of A.
M B.
M C.
M D
, cannot be determined

Answers

B. 45. The two angles B and A are both 45 to make 90 and angle C is a 90 degree angle so they come together for 180 degrees total

17. Find the height of a rectangular room that
measures 4.7 m long and 3.2 m wide, if
the space within it is 33.84 m³.

Answers

Answer:

the height: h=2,25

Step-by-step explanation:

volume of rectangular box = wide*long*the height

----> the height = volume of rectangular box / ( wide*long) = 2,25

give me 5 stars and hearts^^

the answer is going to be h = 2 ,25

Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i will give u brainliest

Answers

Answer: The answer is x = +/- [tex]\sqrt{y+1}[/tex].

Step-by-step explanation: You can solve this by simply rearranging the equation to make x by itself.

-[tex]x^{2}[/tex] = -y - 1

Then cancel out the -1 by dividing it through to obtain.

[tex]x^{2} =y+1[/tex]

The final step is to square root both sides to get rid of the exponent.

x = [tex]\sqrt{y+1}[/tex]

This should be the answer since square roots have a +/-.

If x^2 = y
x = +- y

So y = x^2 - 1
x^2 = y+1
x = +- square root (y+1)

What is m∠C?

Enter your answer in the box.

Answers

Answer:

60

Step-by-step explanation:

Total degree of triangle interior angles is 180

So x+2x+3x=180

6x=180

x=30

Measurement of angle C is 2x which is 60 degree

Planes X and Y and points J, K, L, M, and N are
shown.
X
L
K
M
Y
Exactly how many planes contain points J, K, and N?
0000
O
1
O2
3

Answers

0 planes contain points J, K, and N.

Given that, planes X and Y and points J, K, L, M and N.

We need to find exactly how many planes contain points J, K, and N.

From the figure, we can see Point J doesn't belong to the planes X and Y and Point K and N belong to the plane X.

Since, points J, K, and N together do not belongs to any single plane, the planes contain points J, K, and N is 0.

Therefore, 0 planes contain points J, K, and N.

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Answer:

2 planes.

Step-by-step explanation:

The third option is correct.

Please help fast!!!
Multiply and reduce to lowest terms. Convert into a mixed number if necessary.


5 x 2/3 =

Answers

Answer: 3 1/3

Step-by-Step Explanation:

= 5 * 2/3
= 5/1 * 2/3
= (5 * 2)/(1 * 3)
=> 10/3
=> 3 1/3

what is the angle between a=7i+3j and b=4i-j​

Answers

[tex]a\cdot b=(7)(4)+(3)(-1)=25\\\\|a|=\sqrt{7^{2}+3^{2}}=\sqrt{58}\\\\|b|=\sqrt{4^{2}+(-1)^{2}}=\sqrt{17}\\\\\cos \theta=\frac{25}{\sqrt{58}\sqrt{17}}\\\\\theta=\cos^{-1} \left(\frac{25}{\sqrt{58}\sqrt{17}} \right) \approx 37.235^{\circ}[/tex]

The function f(x) is shown in this graph.
The function g(x) = -6x + 3.
-5
Compare the slopes and y-intercepts.

Answers

The intercept is (0,3) but bc u don’t say what f(x) is that’s all I can do

which of the following is a rational number
a.√5
b.π
c.1/2
d.√(77)

Answers

c. 1/2

the quotient of two integers

Do you know how fast last year's winner was traveling? san francisco laser boat.

Answers

The average speed of the Australian team's laser boat in the San Francisco final was 68.81 km/h.

What is the laser boat?

The laser boat is a type of boat that uses the wind to move on the water. This type of boat is used in the SailGP Championship.

In the phase of San Francisco, the United States the winner was the team of Australia that had an average speed of 68.81 km/h and a maximum of more than 90 km/h.

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x= help me please thank u :)​

Answers

Step-by-step explanation:

the product of segments theorem :

products of segments of intersecting chords are equal.

the 2 chords helping us are

the "4 + 25" chord.

the "x + x" chord (that connects then outwards to the 20 segment).

so, based on that theorem

4 × 25 = x × x

100 = x²

x = sqrt(100) = 10

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Just as the doctor had adopted a certain relation to his patient which he could not abandon, so had she formed one towards himthat he was not doing something he ought to do and was himself to blame, and that she reproached him lovingly for thisand she could not now change that attitude."You see he doesn't listen to me and doesn't take his medicine at the proper time. And above all he lies in a position that is no doubt bad for himwith his legs up."She described how he made Gerasim hold his legs up.The doctor smiled with a contemptuous affability that said: "What's to be done? These sick people do have foolish fancies of that kind, but we must forgive them. . . ."They all rose, said good-night, and went away.When they had gone it seemed to Ivan Ilyich that he felt better; the falsity had gone with them. But the pain remainedthat same pain and that same fear that made everything monotonously alike, nothing harder and nothing easier. Everything was worse.Again minute followed minute and hour followed hour. Everything remained the same and there was no cessation. And the inevitable end of it all became more and more terrible.Based on the excerpt, how is Praskovya Fedorovna a character foil to Ivan Ilyich?A. She is kind and takes care of Ivan, which is why he feels guilty about how he treated her for most of their married life.B. She is vindictive toward Ivan while pretending to be worried about him, thus reminding him of how his family has never forgiven him.C. She plays the part of the worried wife without any real feeling, symbolizing the false propriety Ivan upheld but now hates.D. She is young, healthy, and beautifuleverything Ivan can never be again and wishes he could return to. Simplify cube root of 5 over fourth root of 5 . (5 points) 5 to the power of 1 over 4 5 to the power of 1 over 12 5 to the power of 7 over 12 5 to the power of 4 over 3 PLEASE HURRYWhich of the following can be used to evaluate the series e d g e One unit of alcohol contains 8 grams of alcohol. calculate the risk of developing liver cancer for someone who consumes 4 units of alcohol a day HELP ASAP I WILL MARK BRAINLIEST FOR THE FIRST CORRECT ANSWERWhich of the following best describes why the Brown v Board of Education Supreme Court ruling was initially limited in the social change it created? PLEASE HELP ASAP I WILL GIVE BRAINLYEST!!! According to the results, what is the pH of thewater? Check all that are correct.Above 7BasicAbout 7NeutralAcidicBelow 7 A hot air balloon is descending.The height of the balloon n minutes after it starts to descend is hn metres. The height of the balloon (n +1) minutes after it starts to descend, hn + 1 metres, is given byhn + 1 = Khn + 20 where K is a constant. The balloon starts to descend from a height of 1200 metres at 09 15At 09 16 the height of the balloon is 1040 metres. Work out the height of the balloon at 09 18