The standard deviation of 4:
Calculate the Mean (the simple average of the numbers)Subtract the Mean from each value, then square the result.Calculate the mean of those squared differences next.We're done when we take that's square root!The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
In descriptive statistics, the standard deviation measures how widely the data points vary from the mean. It describes how values are distributed throughout the data sample and measures how widely apart data points are from the mean. The square root of the variance is used to calculate the standard deviation of a sample, statistical population, random variable, data collection, or probability distribution.
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What do line 16–20 tell you about how the peaker imagine hi future? Ue evidence from the text to upport your anwer
Lines 16-20 suggest that the speaker imagines his future as one in which he will look back on the decision he made to take the less traveled road with a sense of regret or longing.
He states that he will be "telling this with a sigh," indicating that the memory is not a happy one. Additionally, the phrase "ages and ages hence" implies that a significant amount of time has passed since the speaker made the decision, further emphasizing the sense of regret or longing. Overall, these lines suggest that the speaker believes that taking the less traveled road has had a significant impact on his life and that he will continue to reflect on this decision in the future.
"The Road Not Taken" is a famous poem by Robert Frost, in which the speaker reflects on a decision to take a different path in the woods. The poem does not give specific details of the speaker's future but rather reflects on the idea of choices and regrets.
This question should be written as:
What do lines 16-20 tell you about how the speaker imagines his future? Explain using text evidence to support your answer.
Lines 16-20 from "The Road Not Taken:
I shall be telling this with a sigh Somewhere ages and ages hence:Two roads diverged in a wood, and I—I took the one less traveled by,And that has made all the difference.Learn more about Robert Frost here: brainly.com/question/23045790
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Hello I need help as soon as possible, please someone respond, thank you.
Its value is expressed as f(x). The line has a slope of m.In the coordinate plane, the point where the line crosses the y-axis is where the function's value, or b, is determined when x is equal to zero.The coordinate's value, x, is given. The f(x) is 1.2x.
Find the F(x) ?Its value is expressed as f(x). The line has a slope of m.In the coordinate plane, the point where the line crosses the y-axis is where the function's value, or b, is determined when x is equal to zero.The coordinate's value, x, is given.
Detailed explanation:
Given:
f(x - 5) = 1.2x - 6
Required:Find f (x) In order to solve f(x), we must translate f(x - 5) into terms of f. (x). The procedure is as follows.
f(x - 5) = 1.2x - 6
The expression to the right should be factored.
f(x - 5) = 1.2(x - 5) (x - 5)
Now that we have changed x for x - 5 in the previous formula, we may solve for f(x) (on the right hand side and the left hand side).
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Suppoe p(x) = 2x2 − 5x 10 and p(x) over x-n
ha a remainder of 7. Which one of the following tatement are true?
7. 2n^2 - 5n + 10 = 7, is true.This means that if we substitute the value of n in the given equation we will get 7.
The Remainder Theorem states that if a polynomial is divided by a linear function, then the remainder is equal to the value of the polynomial at the root of the linear function.
In this case, we have the polynomial p(x) = 2x^2 - 5x + 10, which is being divided by x-n, and we are told that the remainder is 7. This means that when we substitute the root of x-n (which is n) into p(x), we get a remainder of 7. 2n^2 - 5n + 10 = 7, so this statement is true.
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What are the 3 steps to graph a line when given an equation?.
There are three important steps to graph a line when an equation is given to us.
Step 1: Determine the x-intercept and y-intercept on the line.Step 2: Plot the x-intercept and y-intercept points on a graph. Step 3: Draw a line through the 2 points.Let us look at an example for the same.
Let us graph the equation 6x + 2y = 12
Finding the x-intercept (the x-intercept has a y-value of 0),
6x + 0 = 12
⇒ x = 2
Hence, x-intercept is (2,0)
Finding the y-intercept (the y-intercept has an x-value of 0),
0 + 2y = 12
⇒ y = 6
Hence, y-intercept = (0,6).
The graph is shown in the diagram after plotting the 2 intercepts on a graph and a line drawn through them.
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The ending balance on an investment is $11,139.58. If the principal was
invested at 2.45% compounded weekly for 78 months, what was the
principal?
According to the given statement, If the principal was invested at 2.45% compounded weekly for 78 months, then The principal is 9521.
How much is the principal?When you first take out a home loan, you borrow a certain amount of money, which is known as the principal. Simply deduct your deposit for a house from the final selling price of your home to determine your mortgage principal.The principal amount means the amount you owe at any point in time.
The formula is =
11139.58 = x (1 + 0.0245) ^6.5
11139.58 = x (1.0245) ^ 6.5
11139.58 = 1.17x
x = 11139.58/ 1.17
x = 9521 (approx)
Hence, the principal is 9521.
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In a packet of 40 skittles, 35% are not red. How may skittles are not red?
Answer:
14
Step-by-step explanation:
35/100= .35
.35 x 40= 14
Not red skittles: 14
Answer:
14
Step-by-step explanation:
35/100= .35
.35 x 40= 14
Not red skittles: 14
Samantha purchased a package of sugar cookies. The nutrition label states that each serving size of cookies contains 160 calories. Samantha creates the graph below showing the number of cookies eaten and the number of calories consumed.
Part A: Write an equation that represents the data graphed by Samantha.
Part B: What is the slope of the line? What does it mean in the context of the problem?
Part C: Provide a verbal description of the graph.
Simultaneous equations
The evaluation of the simultaneous equation is as follows;
a) The simultaneous equations, indicates by plugging in the value of the variable x in the first equation, that the first equation is; 7·x² + 5·y + 3 = 0
b) The equation has no real solutions
What are simultaneous equations?Simultaneous equations are set two or more equations that have common solution.
The simultaneous equations are;
y² + x·y + 3 = 0...(1)
x = 6·y + 5...(1)
Plugging in x = 6·y + 5, in equation (1) we get;
y² + x·y + 3 = y² + y × (6·y + 5) + 3 = 0
y² + 6·y² + 5·y + 3 = 0
7·y² + 5·y + 3 = 0b) The number of solutions the simultaneous equation has can be obtained by solving the equation, obtained in part (a), 7·y² + 5·y + 3 = 0, as follows;
7·y² + 5·y + 3 = 0
The quadratic formula for finding the solution of the equation; a·x² + b·x + c = 0, is; -b±√(b² - 4·a·c)/(2·a)
Where the discriminant is; b² - 4·a·c
Comparing the equations, we get;
a = 7, b = 5, and c = 3
b² - 4·a·c is therefore; 5² - 4 × 7 × 3 = -59
The discriminant is less than 0, therefore, there are no real solutions to the equation, but there are to imaginary solutions
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What is the function of logarithmic function?.
The logarithmic function is a mathematical function that expresses the exponent of a number to produce a given value, with the property of simplifying multiplication to addition and it is the inverse of the exponential function.
A logarithmic function is a mathematical function that expresses the power to which a number (the base) must be raised in order to produce a given value. The logarithm of a number is the exponent to which the base must be raised to produce that number.
A logarithmic function can be represented in the form of log_b(x) or logb(x), where b is the base of the logarithm and x is the value being evaluated.
For example, the logarithm of 1000 to the base 10 is 3, because 10^3 = 1000. It can be written as log10(1000) = 3.
The logarithm function has the property that log_b(x*y) = log_b(x) + log_b(y), which means that logarithms simplify the multiplication of numbers to the addition of logarithms.
The logarithmic function also has an inverse function, which is the exponential function, that's why logarithms and exponents are inverses of each other.
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If L || m, solve for x (6x+4) (4x-14)
Since lines m and n are parallel lines, the value of x in the image above is equal to 19.
What is the Alternate Interior Angles Theorem?In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.
What is the Linear Pair Postulate?In Mathematics, the Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair.
By applying the Linear Pair Postulate to the two (2) alternate interior angles, we have the following:
6x + 4 + (4x - 14) = 180
10x - 10 = 180
10x = 180 + 10
10x = 190
x = 190/10
x = 19.
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Tyrone went to a baketball game and bought a jerey that wa on ale at a 30% dicount. He alo bought a hat that cot $37. 89. Tyrone pent a total of $83. 39. Write an equation to find the original cot of the jerey
By applying discounted price concept, the original cost of the jersey can be determined from this equation 83.39 = 37.89 + 0.70x. The original cost of the jersey is $65.
Discounted price is a price obtained after a reduction by a certain percentage from the normal price. Thus, a discounted price is lower than the normal price.
The formula: discounted price = original price × (100% - %discount)
Some information given from the problem:
Jersey discount = 30%
Hat cost = $37.89
Total spent = $83.39
Let's say the cost of the jersey = x
Total spent = hat cost + discounted jersey cost
83.39 = 37.89 + (x * (100% - 30%))
83.39 = 37.89 + (x * (70%))
83.39 = 37.89 + (x * 0.7)
83.39 = 37.89 + 0.7x
Thus this is the equation.
If we want to know the original cost of the jersey, we can continue the calculation:
83.39 = 37.89 + 0.7x
83.39 - 37.89 = 0.7x
45.5 = 0.70x
x = 45.5/0.70
x = 65
Thus, the original cost of the jersey is $65.
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If a hockey player takes 78 shots and scores 16 goals, what would be the probability of this player scoring a goal on their next shot?
0. 173
0. 205
0. 013
0. 263
The player's chances of scoring a goal on their next shot are 0.205, or 20.5%.
This is calculated by dividing the number of goals they scored (16) by the number of shots they took (78).
The formula for finding the probability:
P(A) = number of favorable outcomes / total number of possible outcomes
16 / 78 = 0.205
Probability is a mathematical concept that quantifies the likelihood that an event will occur. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is unavoidable.
A probability of 0.5 (or 50%) means that the event is equally likely to occur or not occur.
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The equations of four lines are given. Identify which lines are parallel.y=1/2x−6 Line 2: x−2y=−1 Line 3: y=4x+6 Line 4: y+3=1/4(x−6)
The lines which are parallel among the given answer choices are; line 1; y = 1/2x - 6 and line 2; x - 2y = -1.
Which among the answer choices are parallel lines?Recall that parallel lines are described by the feature such that; they have equal slopes but different y-intercepts.
Hence, by representing the equations in slope-intercept form; we have;
line 1; y = 1/2x - 6
line 2; x - 2y = -1;. y = 1/2x + 1
line 3; y = 4x + 6
line 4; y + 3 = 1/4 (x-6);. y = 1/4x - 9/2.
By comparison with the slope-intercept form equation; it follows that the lines which have equal slopes but different y-intercepts is the pair; line 1 and 2.
Hence, the parallel lines are; lines 1 and 2.
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Use the information given in the figure to find the length BC.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
A
85
41
B
D
0
Answer:
66
Step-by-step explanation:
First find AD:
AD² + 9² = 41²
AD² = 1681-61=1600
AD = √1600 = 40
Now find BD:
BD² + 40² = 85²
BD² = 7225-1600=5625
BD = √5625 = 75
BC = BD - 9 = 75 - 9 = 66
Luke has some nails in his toolbox.
The heads of these nails are all circular and have a diamater of 2.4mm.
Ten of these nails are knocked into a piece of wood, so that just the metal heads are seen.
Using an estimate of pi=3, calculate the total area of metal that can be seen on the surface of the wood.
You must show your working and give the units of your answer.
The total area of metal that can be seen on the surface of the wood is 43.2 square millimeters.
How to calculate the total area of metal that can be seen on the surface of the wood?To find the total area of metal that can be seen on the surface of the wood, we need to find the area of one nail head and then multiply that by the number of nails.
The area of a circle is given by the formula:
A = πr²,
where π is the mathematical constant pi (estimated as 3 in this case) and r is the radius of the circle (half of the diameter).
So, the area of one nail head in square millimeters is:
A = 3 ×(2.4/2)² = 3 × 1.2² = 3 × 1.44 = 4.32 square millimeters
As there are 10 nails, so the total area of metal that can be seen on the surface of the wood in square millimeters is:
Total area = 4.32 square millimeters/nail × 10 nails = 43.2 square millimeters
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y=-1/x=2 -3
i need help with this crazy warm-up for math class
The transformed equation is y = -1/(x + 2) - 3
How to transform the equationFrom the question, we have the following parameters that can be used in our computation:
y = -1/x
We have the transformation to be
(2, -3)
This implies that we transform the function be (x + 2, y - 3)
using the above as a guide, we have the following:
y = -1/(x + 2) - 3
The above represents the new equation when the previous is transformed
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Antionette order T hirt for her volleyball camp. Adult ized T hirt cot $6. 25 each and youth ized T hirt cot $4. 50 each. Antionette ha $550 to purchae both adult ized and youth ized T hirt. If he purchae 45 youth ized T hirt, determine algebraically the maximum number of adult ized T hirt he can purchae
Antionette can purchase a maximum of 56 adult-sized t-shirts.
What is algebraic ?
Algebraic refers to anything that pertains to algebra, which is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. Algebraic concepts include using variables (such as x or y) to represent unknown values, using operations such as addition, subtraction, multiplication and division.
Let x be the number of adult-sized t-shirts that Antionette purchases.
We know that ,
The cost of each adult-sized t-shirt is $6.25
The cost of each youth-sized t-shirt is $4.50
Antionette has $550 to purchase both adult-sized and youth-sized t-shirts
Antionette purchases 45 youth-sized t-shirts
We can set up the equation to represent the total cost of all the t-shirts and the money Antionette has ,
(x6.25) + (454.50) = 550
To solve for x, we can simplify the equation by multiplying the number of adult-sized t-shirts by the cost per t-shirt and the number of youth-sized t-shirts by the cost per t-shirt, and then set it equal to the total money Antionette has ,
x*6.25 + 202.5 = 550
then we can subtract 202.5 from both sides , x*6.25 = 347.5
then divide both sides by 6.25 to get , x = 56
So, Antionette can purchase a maximum of 56 adult-sized t-shirts.
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The cost of each adult-sized t-shirt is $6.25
The cost of each youth-sized t-shirt is $4.50
Antionette has $550 to purchase both adult-sized and youth-sized t-shirts
Antionette purchases 45 youth-sized t-shirts
(x*6.25) + (454.50) = 550
x*6.25 + 202.5 = 550
then we can subtract 202.5 from both sides , x*6.25 = 347.5
then divide both sides by 6.25 to get , x = 56
So, Antionette can purchase a maximum of 56 adult-sized t-shirts.
The graph of 12 = 2x+4y is shown on the grid.
Which ordered pair is in the solution set of 12 2 2x+4y?
For the linear equation 12 = 2x+4y, the value of ordered pairs are (0,3) and (6,0).
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The given linear equation is 12 = 2x + 4y
Substitute the value of x as 0 to find the value of y -
12 = 2x + 4y
12 = 2(0) + 4y
12 = 4y
y = 12/4
y = 3
Therefore, the value for y is obtained as 3.
Substitute the value of y as 0 to find the value of x -
12 = 2x + 4y
12 = 2x + 4(0)
12 = 2x
x = 12/2
x = 6
Therefore, the value for x is obtained as 6.
An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.
Therefore, two ordered pairs are obtained as (0,3) and (6,0).
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88+32
[tex]90 + 30[/tex]
how are these two equations equivalent to each other
Answer:
These two equations are equivalent to each other because they both represent the same mathematical operation and they both yield the same result.
The first equation, 88 + 32, is adding 88 to 32, which results in the sum of 120.
The second equation, 90 + 30, is adding 90 to 30, which also results in the sum of 120.
In other words, both equations represent the same mathematical operation (addition) of two numbers (88 and 32 or 90 and 30) and both yield the same result (120).
Step-by-step explanation:
a brainliest pls
what are the order pairs to the fallowing solution of the sytems of equations
f(x)=x^2-2x+3: f(x)=-2x+12
The order pairs to the given equations are (-3, 18) and (3, 6)
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given are two equation, f(x) = x²-2x+3 and f(x) = -2x+12
For solving, equate them,
x²-2x+3 = -2x+12
x² = 2x-2x+12-3
x² = 9
x = ±3
Put x = -3 in f(x) = -2x+12
f(-3) = -2(-3)+12
f(-3) = 18
And, Put x = 3 in f(x) = -2x+12
f(3) = -2(3)+12
f(3) = 6
Therefore, the ordered pairs are (-3, 18) and (3, 6)
Hence, the order pairs to the given equations are (-3, 18) and (3, 6)
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What is the nature of roots of quadratic equation → 4x² 8x+ 9 0?.
A quadratic function has no real roots and does not intersect the x-axis if the discriminant of the function is less than zero.
How do you tell if a quadratic equation doesn't have any true roots?How many roots f(x) has is shown by the discriminant's value: - The quadratic function has two unique real roots if b2 - 4ac > 0 A repeated real root exists in the quadratic function if b2 - 4ac = 0. The quadratic function doesn't have any real roots if b2 - 4ac is less than 0.
Formula for the quadratic 4x2-8x9=0
4x2−8x−9=0
The answers can be found using the quadratic formula.
−b±√b2−4(ac)/2a
Replace the values
a=4
, b=−8
, and
c=−9
Then enter it into the quadratic formula to find
x.8±√(−8)2−4⋅(4⋅−9)/2⋅4
Simplify.
To continue, tap...
x=2±√13/2
There are various ways to display the outcome.
precise form:
x=2±√13/2
Number Form:
x=2.80277563…,−0.80277563…
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Full Question = What is the nature the roots of quadratic equation 4x²-8x+9=0?
the ratio of green candies to purple candies is 3:12. there are 36 purple candies in the jar. how many green candies are in the jar
Answer:
There are 9 green candies in the jar
Step-by-step explanation:
[tex]8 \div \sqrt{2x} [/tex]Help me please.
Winston planned to spend no more than $150 on a helmet and goggles for skiing. After spending $90.50 on a helmet, he bought a pair of goggles that put him over his budget.
Answer:
the number would be anything over 59.50
Step-by-step explanation:
What number is 10 more than 89?.
The number is 10 more than 8910+89 = 99
given that
One of the four fundamental operations of mathematics is addition, which is typically denoted by the plus sign (+). The other three are subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them. Three apples and two apples are combined to make five apples in the example in the adjacent image. This observation is analogous to the formula "3 + 2 = 5" in mathematics (that is, "3 plus 2 is equal to 5").
In addition to counting things, addition can also be defined and performed using abstractions known as numbers, such as integers, real numbers, and complex numbers. A branch of mathematics called arithmetic includes addition. Addition can also be done on abstract objects like vectors, matrices, subspaces, and subgroups in algebra, another branch of mathematics.
10 more than 89
more than means plus or addition or sum
10+89 = 99
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Jane wrote all the natural numbers from m to k (where k>m) how many numbers did she write?
its due in 2 mins btw
The amount of natural numbers from m to k that Jane wrote is given as follows:
k - m + 1.
What are the natural numbers?The natural numbers are the numbers that represent countable amounts, hence they are non-decimal and non-negative amounts.
The set of natural numbers can be represented as follows:
{0, 1, 2, 3, ...}
The number of natural numbers between 0 and 1 is given as follows:
2, which are 0 and 1.
2 = 1 - 0 + 1.
Hence the number of natural numbers between m and k is given as follows:
k - m + 1.
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If There are 1 hamster 4 dogs running at 5mph and 2 chickens running at 3mph.One dog speeds up 5mph and the chickens speeds up 10mph.Then the dogs quit (except 1) and the chickens keep going and speed up at 3 mph.Then who will win.After this if the prize is 100$ 1st place 2nd place is 50$ and 3rd 11$ what three animals won.
Names are sam salk paul arina corina
shills baul pauna
The two chickens and a dog three animals won.
What is Speed?The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time.
Given that There are 1 hamster 4 dogs running at 5mph and 2 chickens running at 3mph.
One dog speeds up 5mph and the chickens speeds up 10mph.
Then the dogs quit and the chickens keep going and speed up at 3 mph.
We have to find the winner.
The chicken win the race.
Hence, the two chickens and a dog three animals won.
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How to find mean and standard deviation from frequency table in R?.
This article will demonstrate how to use Data Frame in the R programming language to calculate the mean by group.
Mean by A, B, and C group:
A(mean) = sum/number of terms divided by 20/3 equals 6.67.B(mean) = 14/3, or 4.67 times the sum of the terms.C(mean) = sum x number of terms x 8/3 = 2.67Can a frequency table be used to determine the mean?To determine the mean from a frequency table, follow these steps: Divide the values of the numbers by the frequencies. Determine the sums.
What is the standard deviation of a frequency distribution?Divide the total by n.
Three distinct series can be used to calculate it: viz., Frequency, discrete, and individual series of distributions. "The Standard Deviation is the square root of the arithmetic mean of the squares of all deviations," Spiegel states.
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The ratio of three numbers is 7 : 3 : 2. These three numbers have a sum of 228. What is the difference between the largest and the smallest of these three numbers?.
The difference between the largest and the smallest of these three numbers is 95.
in mathematics, a ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
Let the common multiple of ratio be x.
then, according to given condition, the ratio of three numbers is 7 : 3 : 2 and these three numbers have a sum of 228. i.e.
7x + 3 x + 2x = 228
12x = 228
x = 19
so, the largest number is
= 7x
= 7 × 19
= 133
and the smallest number is
= 2x
= 2 × 19
= 38
so, the Difference between the largest and the smallest number is
= 133 - 38
= 95
Therefore, the difference between the largest and the smallest of these three numbers is 95.
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How much is a 30 angle?.
A 30-degree angle is a measure of an angle, which is one-sixth of a full rotation or circle.
The measure of an angle is the amount of rotation between the two rays that form the angle, measured in degrees. The full rotation of a circle is 360 degrees, so one-sixth of a full rotation is 360 degrees divided by 6, which equals 60 degrees. However, a 30-degree angle is half of a 60-degree angle, so it is half of one-sixth of a full rotation, which is 30 degrees. It's also a right angle's complement angle, meaning that the sum of the 30 and 60 degrees angles is 90 degrees, a right angle. In geometry, 30-degree angles are often used in various calculations and constructions, such as finding the measure of complementary and supplementary angles, solving trigonometric problems, and drawing geometric figures.
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