A regular decagon is mapped onto itsslf everytime it is rotated by how many degrees
Answers
Answer:
36° is correct.
Step-by-step explanation:
The degree of rotational symmetry is equal to 360° divided by the number of sides of a regular polygon
360° ÷ 10 = 36°
Answer:
A regular decagon is mapped onto itself every time it is rotated by 36°
Step-by-step explanation:
A regular decagon means a polygon with 10 sides and all sides are equal.
Refer the given figure, if we rotate by 36° we will get same decagon.
So a regular decagon is mapped onto itself every time it is rotated by 36°
Related Questions
According to the national center for health statistics in 1990 28% of babies in the United States were born to parents who were not married. Throughout the 1990s this increased by approximately 0.6% per year. If this trend continues, in which year will 43% of babies be born out of wedlock?
Answers
If the trend continues, 43% of babies will be born out of wedlock in the year 2015.
Explanation:To find the year in which 43% of babies will be born out of wedlock, we can use the information given. In 1990, 28% of babies were born to unmarried parents. And throughout the 1990s, there was an increase of approximately 0.6% per year. So, we can set up an equation: 28 + 0.6x = 43, where x represents the number of years after 1990.
To solve for x, we can subtract 28 from both sides of the equation: 0.6x = 15. Then, divide both sides by 0.6 to isolate x: x = 15 ÷ 0.6. Using a calculator, we find that x is approximately 25. Therefore, if the trend continues, 43% of babies will be born out of wedlock in the year 1990 + 25 = 2015.
Final answer:
If the trend continues, 43% of babies will be born out of wedlock in the year 2015.
Explanation:
To find the year when 43% of babies will be born out of wedlock, we need to calculate how many years it will take for the percentage to reach 43% based on an initial value of 28% and an annual increase of approximately 0.6%.
Calculate the difference between the target percentage and the initial percentage: 43% - 28% = 15%Divide the difference by the annual increase rate to find the number of years: 15% ÷ 0.6% = 25 yearsAdd the number of years to the initial year (1990) to determine the year when 43% of babies will be born out of wedlock: 1990 + 25 = 2015Therefore, if the trend continues, 43 of babies will be born out of wedlock in 2015.
Triangle ABC has angle measures as shown.
(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.
Answer:
PLEASE ANSWER AS SOON AS POSSIBLE! 25 POINTS!
Answers
two cards are drawn without replacement from a standard deck of 52 playing cards. find the probability that both are odd numbers (aces are considered odd because they have a value of 1 or 11).
Answers
7 odd cards per suit, 4 suits = 7 * 4 = 28 odd cards
so 1st card being odd is a 28/52 = 7/13 probability
2nd card would be a 27/51 = 9/17 probability
7/13 x 9/17 = 63/221 probability of both
The sum of two angles in a triangle totals 117 degrees, what is the measure of the third angle
Answers
117 degrees + 3rd angle = 180
3rd angle = 180 -117
3rd angle = 63 degrees
which of the following is the best definition of three-dimensional drawing? A. a three-dimensional drawing represents, on a three-dimensional plane, the length and width of a solid figure.B. a three-dimensional drawing uses graph paper to show the length and width of a solid figure in such a way that it looks realistic.C. a three-dimensional drawing represents on a two-dimensional plane the length, width, and depth of a three-dimensional figure.D. a three-dimensional drawing uses at least one vanishing point to create the illusion of width.
Answers
AB and AD are tangents of the circle with the center at C. The measure of BDC = 45o, and the circle has a diameter of 4. Which is the length of AB?
help needed!!
Answers
ABCD is a diamond.
Let's D' the intersection of the circle and DC.
m∠BCD'=2*m∠BDC=2*45=90°
m∠BCD=90°
The diagonals of ABCD are perpendicular==>ABCD is a diamond and AB=BC=CD=DA=2
If x + 3 is a factor x^2 + kx + 2k, where k is a constant, what is the value of k?
Answers
(-3)^2 + (-3k) + 2k = 0
9 - 3k + 2k =0
9 - k = 0
9 = k
Check
=====
x^2 + 9x + 18 = 0
(x + 3)(x + 6) = 0
These are the two factors. As expected from the givens one of them is (x + 3)
How to find the intersection of a linear and exponential function?
Answers
The graph attached shows the point of intersection of a linear and exponential function.
What is a function? What is a linear function? What is an exponential function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.A linear function is given by the function → y = ax + b.An exponential function is given by the function → y = eˣGiven is a linear function and a exponential function.
We can write the equations as -
y = ax + b
y = eˣ
For the points of intersection -
ax + b = eˣ
Refer to the graph attached. It shows the point of intersection of a linear and exponential function.
Therefore, the graph attached shows the point of intersection of a linear and exponential function.
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If the perimeter of a rectangle is expressed by the formula p 2l 2w then w can be expressed as
Answers
P=(2l+2w)
then
subtract 2L from both sides
P-2l=2l+2w-2l-----------> P-2l=2w
divide by 2 on both sides
(P-2l)/2=2w/2
(P-2l)/2=w------------------> w=(P-2l)/2
w=(P-2l)/2------------> w=(P/2)-(2l/2)---------> w=(P/2)-l
the answer is
w=(P/2)-l
If a and b are two angles in standard position in Quadrant I, find cos(a+b) for the given function values. sin a=4/5 and cos b=5/13
Answers
We have then:
sin a = 4/5
a = Asin (4/5)
a = 53.13 degrees.
cos b = 5/13
b = Acos5 / 13
b = 67.38 degrees.
We now calculate cos (a + b). To do this, we replace the previously found values:
cos ((53.13) + (67.38)) = - 0.507688738
Answer:
-0.507688738
Note: there is another way to solve the problem using trigonometric identities.
Answer:
cos(a+b)≈0.507
Step-by-step explanation:
Hi there, in Quadrant I both sine and cosine functions are positive.
This cos (a+b) being a Classical Trigonometrical Identity, the product of the sum between two cosines equals the product of two cosines minus the product of two sines.
But we need to find the value of a and b, so that we can go on. Calculate the arccosine and arcsine function respectively is mandatory
[tex]cos(a+b)=cosa*cosb-sena*senb\\ cos(a+b)=cosa*\frac{5}{13} -\frac{4}{5}*senb\\ a=arcsin(\frac{5}{13})\\a=22.61\\b=arccos(\frac{4}{5})\\b=36.86\\ 5/13=0.38\\4/5=0.8\\cos(a+b)=cos(22.61)*cos(36.86) -sen(22.61)*sen(36.86)\\ cos (a+b)=0.507[/tex]
What ray is a common side of ∠EOB and ∠BOA?
Answers
Please explain how you got to the answer will give brainliest thanks!
Answers
sin 30 = x/43
43 (sin 30) = x
21.5 = x
Hope this helps :)
height of pole = opposite side = (43 m)*sin (30 deg) = 21.5 m.
What is the rate of change from x = π to x = 2π? (6 points) trig graph with points at 0, negative 4 and pi over 2, 0 and pi, 4 and 3 pi over 2, 0 and 2 pi, negative 4
PLEASE HELP!!!!!!
a. 8 over pi
b. pi over 8
c. negative 8 over pi
d. negative pi over 8
Answers
We are given points on trig graph as
[tex](0,-4)[/tex]
[tex](\frac{\pi}{2} ,0)[/tex]
[tex](\pi ,4)[/tex]
[tex](\frac{3\pi}{2} ,0)[/tex]
[tex](2\pi ,-4)[/tex]
now, we can find rate of change from x = π to x = 2π
so, we will select two points
[tex](\pi ,4)[/tex] and [tex](2\pi ,-4)[/tex]
we can also write as
[tex]a=\pi , f(a)=4[/tex]
[tex]b=2\pi , f(b)=-4[/tex]
now, we can use average rate of change formula
[tex]A=\frac{f(b)-f(a)}{b-a}[/tex]
now, we can plug values
and we get
[tex]A=\frac{-4-4}{2\pi -\pi}[/tex]
[tex]A=\frac{-8}{\pi }[/tex]
so, option-C.............Answer
Find indicated values: m AB = m ABC = m BAC = m ACB =
Answers
Answer:
A. [tex]\text{m AB}=49^o[/tex].
B. [tex]\text{m ABC}=253^o[/tex].
C. [tex]\text{m BAC}=156^0[/tex].
D. [tex]\text{m ACB}=311^o[/tex]
Step-by-step explanation:
We have been given a circle and we are asked to find the arc measures of given circle.
Since we know that the measure of an arc that subtends to central angle equals the measure of central angle.
A. We can see from our circle that arc AB subtends to central angle AOB.
[tex]m\angle AOB=49^o[/tex]
[tex]\text{m AB}=49^o[/tex]
Therefore, measure of arc AB will be also 49 degrees.
B. First of all we will have to find the measure of arc BC.
Since we know that the sum of all central angles in a circle is 360°, so we can find the measure of arc BC by subtracting measure of arcs AB and AC from 360 degrees.
[tex]\text{m BC}=360^o-(\text{m AB+m AC})[/tex]
[tex]\text{m BC}=360^o-(49^o+107^o)[/tex]
[tex]\text{m BC}=360^o-156^o[/tex]
[tex]\text{m BC}=204^o[/tex]
We can see that ABC equals arc AB plus arc BC.
[tex]\text{m ABC}=\text{m AB}+\text{m BC}[/tex]
Upon substituting measures of arc AB and BC we will get,
[tex]\text{m ABC}=49^o+204^o[/tex]
[tex]\text{m ABC}=253^o[/tex]
Therefore, measure of arc ABC is 253 degrees.
C. We can see that arc BAC equals arc BA plus arc AC.
[tex]\text{m BAC}=\text{m BA}+\text{m AC}[/tex]
Upon substituting measure of arc BA and AC we will get,
[tex]\text{m BAC}=49^o+107^0[/tex]
[tex]\text{m BAC}=156^0[/tex]
Therefore, measure of arc BAC is 156 degrees.
D. We can see that arc ACB equals arc AC plus arc CB.
[tex]\text{m ACB}=\text{m AC}+\text{m CB}[/tex]
Upon substituting measure of arc AC and CB we will get,
[tex]\text{m ACB}=107^o+204^o[/tex]
[tex]\text{m ACB}=311^o[/tex]
Therefore, the measure of arc ACB is 311 degrees.
Trapezoid BIRD is dilated to form trapezoid FROG. What corresponding angle is congruent to angle BIR
Answers
Answer: ∠FRO
Step-by-step explanation:
A dilation is a transformation that forms an image that is the exactly same shape as the original, but of a different size.Given : Trapezoid BIRD is dilated to form trapezoid FROG.
As dilation creates similar image as the original .
Thus by the property of similarity ,the corresponding angles are congruent.
Therefore, angle congruent to ∠BIR must be ∠FRO [first three letters of the name of the shapes]
You are considering buying one of two brands of barbecue grills. Brand F costs $650 and will last for about fifteen years. Brand G costs $200 and will last for about five years, so you will need to buy three of them over the years to equal one Brand F grill. In either case, you plan to pay for the grill with your credit card, which has an interest rate of 13.01%, compounded monthly. You will pay off a Brand F grill in five years of monthly payments, and you will pay off a Brand G grill in three years of monthly payments. Assuming that you have no other purchases on your credit card, over a fifteen-year period, which kind of grill will be cheaper, and how much cheaper will it be? (Round all dollar values to the nearest cent.) a. Brand G will end up costing $159.48 less than Brand F. b. Brand G will end up costing $50.00 less than Brand F. c. Brand F will end up costing $134.28 less than Brand G. d. Brand F will end up costing $91.08 less than Brand G.
Answers
Answer:
hes saysing its "a" the first brand g
Step-by-step explanation:
Brand G will end up costing $159.48 less than Brand F.
The correct option is a.
To determine which grill is cheaper over a fifteen-year period, we need to compare the total cost of buying and paying off each grill.
Brand F: The grill costs $650, and we will pay it off in five years of monthly payments, which is 60 payments.
The monthly payment required to pay off a $650 loan with a 13.01% annual interest rate, compounded monthly, over five years is:
PMT = (r x P) / (1 - (1 + r)⁻ⁿ
= (0.1301/12 x 650) / (1 - (1 + 0.1301/12)⁻⁶⁰
= $14.79
Therefore, the total cost of a Brand F grill, including interest, is:
Total Cost = 650 + 60(14.79) = $1537.4
Brand G: The grill costs $200, but we will need to buy three of them over fifteen years.
Each grill will be paid off in three years of monthly payments, which is 36 payments.
The monthly payment required to pay off a $200 loan with a 13.01% annual interest rate, compounded monthly, over three years is:
PMT = (0.1301/12 x 200) / (1 - (1 + 0.1301/12)⁻³⁶
= $6.74
Therefore, the total cost of three Brand G grills, including interest, is:
Total Cost = 3 * (200 + 36 * 6.74) = $1327.92
The difference in cost is: $159.48.
Therefore, over a fifteen-year period, buying three Brand G grills instead of one Brand F grill will save you $159.48.
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What is the trigonometric ratio for sin z ?
enter your answer, as a simplified fraction, in the boxes.
$$
?
Answers
The trigonometric ratio for sin z is the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.
The trigonometric ratio for sin z is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle. In other words, if we have a right triangle with angle z, sin z is equal to the length of the side opposite to angle z divided by the length of the hypotenuse.
Mathematically, sin z = opposite/hypotenuse.
For example, if we have a right triangle with angle z, and the length of the opposite side is 3 units and the length of the hypotenuse is 5 units, then sin z = 3/5.
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Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books that he purchases in a year.
Let b represent the number of books he purchases in a year. Which function, C(b), represents his yearly cost?
C(b) = 10b + 2.75
C(b)= 2.75b + 10
C(b) = 12.75b
C(b) = 2.75b + 20
Answers
Each book = $2.75
Number of books = b
Total cost of the books = 2.75b
C(b) = 2.75b + 10 (Answer B)
Answer:
B)C(b)= 2.75b + 10
Step-by-step explanation:
30 Points! Please Help!
At the end of May, Janet told Sam that she has read 10 books this year and reads 2 books each month. Sam wants to catch up to Janet. He tracks his book reading with a table on his door. Using his table below, what month will Sam have read the same amount of books as Janet?
Month Books
June 3
July 6
August 9
Answers
the answer to this question is march
If the circumference of a circle is 10 pie inches, what is the area, in square inches, of the circle?
Answers
therefore 2r=10, r=5
Area, A=pi r ^2=78.54 square inches
Convert 11 ounces into pounds. Round your answer to the nearest tenth.
Hint: There are 16 ounces in one pound.
A. 176 pounds
B. 0.7 pounds
C. 1.5 pounds
Math~
Answers
Selection B is appropriate.
To convert 11 ounces to pounds, divide 11 by 16. The result is 0.6875 pounds, which rounds up to 0.7 pounds.
Explanation:To convert 11 ounces to pounds, you would divide the number of ounces by the number of ounces in one pound, which is 16.
Since there are 16 ounces in one pound, we can make this conversion by dividing the number of ounces by 16.
11 ounces / 16 ounces/pound = 0.6875 pounds
Rounded to the nearest tenth, this is approximately 0.7 pounds.
Therefore, the correct answer is B. 0.7 pounds.
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There are 480 jellybeans in an 8-ounce jar. How many jellybeans are there per ounce in the jar?
Answers
x: amount of jellybeans per pounce
x=480 jellybeans/8 ounces
2. Then, the result is:
x=60
How many jellybeans are there per ounce in the jar?
The answer is: There are 60 jellybeans per ounce.
Answer:
the answer is 60
Step-by-step explanation:
What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –2/3(x – 6) and passes through the point (−2, −2)?
y = –2/3x –10/3
y = –2/3x +10/3
y = 3/2x – 1
y = 3/2x + 1
Answers
y - 4 = -2/3(x-6)
y - 4 = -2/3x + 4
y = -2/3x + 8
therefore the slope is -2/3 and intercept is +8
the perpendicular line passes through x = -2 and y = -2
then if the given graph has a slope of -2/3 the line that is perpendicular to that should have the reciprocal of the gradient and should be in the opposite direction. So m = +3/2
lets substitute x,y and m values for the new perpendicular line
y =mx + c
-2 = 3/2 * -2 +c
-2 = -3 +c
c = -2 +3
c = 1
Therefore the equation for the perpendicular line is
y = 3/2x + 1
Answer:
y = 3/2x + 1
Step-by-step explanation:
From a cruising depth of 75 m below sea lever (BSL) the Nautilus descended to 105 m BSL and then rose to 80 m BSL. What is the total vertical distance the Nuatilus traveled?
Another Question -
A red kangaroo jumps along 40 km/h. At this rate how long would it take to jump 2 km in minutes?,
Answers
Final answer:
The Nautilus traveled a total vertical distance of 55 meters. A red kangaroo traveling at a speed of 40 km/h would take approximately 3 minutes to jump 2 km.
Explanation:
Total Vertical Distance Traveled by the Nautilus
To calculate the total vertical distance the Nautilus traveled, we need to add the distance it descended and the distance it ascended. The Nautilus descended from 75 m BSL to 105 m BSL, which is a distance of 105 m - 75 m = 30 m. Then it ascended from 105 m BSL to 80 m BSL, a distance of 105 m - 80 m = 25 m. So the total vertical distance traveled is 30 m + 25 m = 55 m.
Time for a Red Kangaroo to Jump 2 km
The speed of the kangaroo is 40 km/h. To find the time to jump 2 km, we first convert the speed to km/min: 40 km/h ÷ 60 min/h = 0.6667 km/min. Now, we divide the distance by the speed: 2 km ÷ 0.6667 km/min = 3 min. Thus, it will take the kangaroo approximately 3 minutes to jump 2 km.
What is the differecne of the following polynomials? (6x^2 - 3x^3) - (2x^3 + 4x^2 -5)
Answers
[tex](6x^2 - 3x^3) - (2x^3 + 4x^2 -5)\\\\=6x^2-3x^3-2x^3-4x^2-(-5)\\\\=6x^2-3x^3-2x^3-4x^2+5\qquad\text{combine like terms}\\\\=(-3x^3-2x^3)+(6x^2-4x^2)+5\\\\=\boxed{-5x^3+2x^2+5}[/tex]
Suppose x is any positive number.
Circle 1: center (−7, 4) and radius 8x
Circle 2: center (−7, 4) and radius 2x
Why is circle 1 similar to circle 2?
A: Circle 1 and circle 2 have the same diameter.
B: Circle 1 is a dilation of circle 2 with a scale factor of 4.
C: Circle 1 is congruent to circle 2.
D: Circle 1 is a dilation of circle 2 with a scale factor of 0.25.
Answers
Answer:
Option B: Circle [tex]1[/tex] is a dilation of circle [tex]2[/tex] with a scale factor of [tex]4[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and is called the scale factor
All circles are similar and the scale factor is equal to the ratio of its radius or the ratio of its diameters or the ratio of its circumferences
Let
z------> the scale factor
A----> the radius of circle 1
B-----> the radius of circle 2
so
[tex]z=\frac{A}{B}[/tex]
we have
[tex]A=8x\ units[/tex]
[tex]B=2x\ units[/tex]
[tex]z=\frac{8x}{2x}=4[/tex]
The dilation is an enlargement because the scale factor is greater than [tex]1[/tex]
Analyze the following statement: Marcus notices that he runs faster in the mornings rather than the evenings. Is the statement an example of correlation or causation?
A. Correlation, because time of day doesn't cause a person to run faster or slower B. Causation, because Marcus has noticed this over several trials
C. No relationship, because time of day has nothing to do with how fast a person runs
D.There is not enough information to make a conclusion
Answers
The answer is option A "Correlation, because time of day doesn't cause a person to run faster or slower." It's completely logic that the time of day doesn't affect the persons speed it's how fit the person that person is would effect his or her speed. Correlation is two data sets that are close together and are connected on a graph.
Hope this helps!
Answer:
A. Correlation, because time of day doesn't cause a person to run faster or slower
Step-by-step explanation:
Marcus notices that he runs faster in the mornings rather than the evenings.This is a correlation because it tells us about the relationship of Marcus's running speed with respect to the time of day. The causation is not possible because there is no definite mention for the increase in speed.
Hence, option A is the answer.
1. What is the value of w? 7 3.5 7(sqrt)of 3 14
Answers
1. You have:
Cos(α)=Adjacent/Hypotenuse
α=30°
Adjacent=7√3
Hypotenuse=w
2. When you substitute this values into Cos(α)=Adjacent/Hypotenuse, you obtain:
Cos(α)=Adjacent/Hypotenuse
Cos(30°)=(7√3)/w
3. When you clear "w", you obtain:
wCos(30°)=7√3
w=(7√3)/Cos(30°)
4. Then, the result is:
w=14
The answer is the last option: 14
(2a 2 + a + 3) (a - 1) Please help
Answers
You can use distributive property, as I mentioned in your previous questions.
multiply...
2a² × a = 2a³
2a² × -1 = -2a²
a × a = a²
a × -1 = -a
3 × a = 3a
3 × -1 = -3
add all those terms..
2a³ - 2a² + a² - a + 3a - 3
add the like terms
2a³ - a² + 2a - 3
Hope this helped :)
A town plans to make a triangular park. The triangle has a base of 120 feet and a height of 115 feet. What will the area of the park be?
A)13,800 ft2
B)27,600 ft2
C)6,900 ft2
D)6,612.5 ft2
Answers
The answer would be 6,900 ft2. The equation to find the area is "a=1/2bx"
a= area b=base h=height. Hope this helps :D
Given that, a town plans to make a triangular park. The triangle has a base of 120 feet and a height of 115 feet.
We know that area of a triangle = [tex] \frac{1}{2} [/tex] x base x height
Given that base of triangle is 120 feet and height is 115 feet. From the given data, we calculate the area of the triangular park.
Area = [tex] \frac{1}{2}*120 *115 = 6900 [/tex]
Hence , Area of triangular park is 6900 square feet.