The distance between two places along a segment of a curve is known as the arc length.
What is arc length of a circle?
The distance between two places along a segment of a curve is known as the arc length. Curve rectification is the process of measuring the length of an irregular arc section by simulating it with connected line segments.
There are a finite number of segments in the rectification of a rectifiable curve. Using the arc length formula, one may determine a circle's arc length given its radius and center angle. Arc length is equal to r, where r is the radian unit. Arc length is equal to (r/180), where r is the radius in degrees.,
Given :[tex]$r=1, \theta=5 \pi / 6$[/tex]
Now, arc length
[tex]&=\theta / 2 \pi * 2 \pi r \\[/tex]
[tex]&=(5 \pi / 6) / 2 \pi \times 2 \times 3.14 \times 1 \\[/tex]
[tex]&=5 / 12 \times 6.28 \\[/tex]
[tex]&=31.4 / 12[/tex]
=2.618 units
To learn more about circle refer to:
https://brainly.com/question/24375372
#SPJ13
whats 80xa=7200xb=51840000
If [(80 * a) = (7200 * b) = 51840000], then solving this equation, we get the values of the variables "a" as 648000, and "b" as 7200.
As per the question statement, we are provided with an equation containing two variables, "a" and "b" which is
[(80 * a) = (7200 * b) = 51840000].
We are required to calculate the values of "a" and "b" from the above mentioned equation.
Let us consider the part [(80 * a) = 51840000] of our concerned equation, solving which, we get,
[(80 * a) = 51840000]
Or, [a = (51840000/80)]
Or, (a = 648000)
Similarly considering the part [(7200 * b) = 51840000] of our concerned equation, solving which, we get,
[(7200 * b) = 51840000]
Or, [b = (51840000/7200)]
Or, (b = 7200)
Equation: An equation is a mathematical statement that determines the relation of equality among two expressions, by a connector "equal to" sign in between. Variable: In mathematics, a variable is an alphabet used as a symbol and placeholder for any mathematical object, particularly to represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.To learn more about Equations and Variables, click on the link below.
https://brainly.com/question/22277991
#SPJ1
where is the denominator top or bottom
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The denominator is the value written at the bottom of a fraction.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Numerator:
It is the value written at the top.
Denominator:
It is the value written at the bottom when we write a fraction.
Example:
Fraction:
1/2, 3/4, and 5/6.
1, 3, and 5 are the numerator.
2, 4, and 6 are the denominator.
Thus,
The denominator is the value written at the bottom of a fraction.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ1
At a storage company, items are stored in containers that have a base of 3 1/2yds by 1 3/4yds. If
there is a 3 x 3 array of these containers with no space between them, what is the area covered
by the containers? ◄›
The dimension of the base is measured the Length, L be 3 1/2 yd and
Width, W be 1 3/4 yd. The area covered by the containers is 55.125 yd².
How to estimate the area covered by the containers?Given: Base dimension of container = 3 1/2yds by 1 3/4yds
Array: 3 × 3 containers without space
It'll be assumed that the container has a rectangular base.
The dimension of the base is measured out as follows:
Length, L = 3 1/2 yd
Width, W = 1 3/4 yd
To calculate the area of 1 container..
Area = 3 1/2 yd × 1 3/4 yd
Convert mixed numbers to improper fractions:
[tex]$3 \frac{1}{2}=\frac{7}{2}$[/tex]
[tex]$=\frac{7}{2} \cdot 1 \frac{3}{4}$$[/tex]
Convert b to improper fractions,
[tex]$=\frac{7}{2} \cdot \frac{7}{4}$$[/tex]
Apply the fraction rule,
[tex]$=\frac{7 \cdot 7}{2 \cdot 4}$$[/tex]
[tex]$=\frac{49}{2 \cdot 4}$$[/tex]
Multiply the numbers:
[tex]$=\frac{49}{8}$$[/tex]
Convert improper fractions to mixed numbers:
[tex]$\frac{49}{8}=6 \frac{1}{8}$[/tex]
Area = 6.125 yd²
Next, is to calculate the area of the 3 by 3 containers.
Given that the container formed a 3 by 3 array;
This means that there 3 × 3 containers
3 × 3 = 9 containers.
Area of the 9 containers = 9 × Area of 1 container.
Area = 9 × 6.125 yd²
Area = 55.125 yd²
Therefore, the area covered by the containers is 55.125 yd².
To learn more about area refer to:
https://brainly.com/question/25292087
#SPJ9
What’s the middle point of -24 and 36
What’s the answer pls
Answer:
B. Adjacent
Hope this helps!
Answer:
adjacent ..................
Help me by filling in the 2 gaps. Giving points to the right answer
Identify where T goes if X is the midpoint of BT
The position of the point T will be shown in figure.
What is mean by Midpoint?
A point is equidistance from the endpoints of the line segment, is called the midpoint of the line segment.
Given that;
X is the midpoint of BT.
Now,
Since, X is midpoint of BT.
So, we get;
BX = XT
Hence, The distance between the points B and X is same as the distance between the points T and X.
Here, The distance between the points B and X = 3
So, The distance between the points T and X = 3
Hence, The position of the point T is 3 units far from the point X.
Therefore,
The position of the point T will be shown in figure.
Learn more about the midpoint visit:
https://brainly.com/question/24431553
#SPJ1
Find the square root of the number. Question square root of -24
The square root of the number -24 can be written as 4.89897949 i.
What is square root ?The square root can be described as the factor of a number that, which when the number is been perform the multiplication operation on it, it will result to the original number.
It should be noted that the given number in the question, comes in form of a negative digit which makes the result of the square root to be a real number because -24 is a negative number.
Therefore, the square root of the number can be performed as :
[tex]\sqrt{-24} = 4.89897949 i[/tex]
Learn more about square root at:
https://brainly.com/question/98314
#SPJ1
-57 = 3(y-7) heeeelpp
Answer:
y = 26
Step-by-step explanation:
Distribute :
57 = 3y-21
do plus 21 then add it with 57
then you get 78=3y
divide 78 by 3
and y equals 26
this is 8th grade math its not hard lol but your welcome <3
State if the three numbers can be the measures of the sides of a triangle.
1) 9, 7, 13
2) 26, 12, 11
3) 11, 2,9
4) 6, 11, 12
Two sides of a triangle have the following measures. Find the range of possible measures for the third side.
5) 12,9
7) 11,6
6) 8,11
8) 12,8
According to the Pythagorean theorem, the square of the length of the hypotenuse, or side across from the right angle, in a right triangle, equals the sum of the squares of the other two sides. Accordingly, if the hypotenuse's length is c and the lengths of the other two sides are a and b, then c2 = a2 + b2.
1) 9, 7 , 13
Yes, because the two smaller sides added together are larger than the third side.
2) 26, 12, 11 No, because adding the two smaller sides together does not make the third side larger.
3) 11, 2, 9
No, because the two smaller sides added together do not exceed the third side.
4) 6,11,12
Yes, because the two smaller sides added together are larger than the third side.
Triangle inequality: What is it?
The Triangle Inequality Theorem states that the sum of any two of a triangle's sides must be greater than the third side.
When the sum of the radii of two arcs in a triangle is, the arcs will only meet at their points of intersection.
To learn more about Triangle inequality refer to:
https://brainly.com/question/18548908
#SPJ9
Find the new price.
Original Price: $20
Discount: 40%
Show Work!
Please help, thanks so much
The missing reasons in the proof that shows that both lines are parallel are:
1. Given
2. Alternate interior angles theorem
3. Transitive property of congruency
4. Converse of corresponding <s theorem
How to Prove that Two Lines are Parallel?If two corresponding angles are congruent to each other and lie on each line that is cut across by a transversal, both lines are said to be parallel to each other based on the converse of corresponding angles theorem.
Also, if two lines are parallel, alternate interior angles are proven to be congruent to each other based on the alternate interior angles theorem.
What is the Transitive Property of Congruency?The transitive property of congruency states that if two angles are each both congruent to a third angle, then all three angles are congruent to each other.
The reasons for each statement in the proof would therefore be as shown below:
Statements Reasons
1. a║b, <2 is congruent to <3 1. Given
2. <1 is congruent to <3 2. Alternate interior angles theorem
3. <1 is congruent to <2 3. Transitive property of congruency
4. c║d 4. Converse of corresponding <s theorem
Learn more about parallel lines on:
https://brainly.com/question/16742265
#SPJ1
when the conclusions based upon the aggregated crosstabulation can be completely reversed if we look at the unaggregated data, the occurrence is known as . a. reverse correlation b. inferential statistics c. simpson's paradox d. disaggregation
The occurrence is known as Simpson's paradox.
What is Cross tabulation?
The quantitative analysis of the relationship between several variables is done through cross tabulation. Cross tabulation, also referred to as contingency tables or cross tabs, groupings variables to reveal the relationships between them. It also demonstrates how correlations vary depending on which group of variables are used.
When the conclusions based upon the aggregated crosstabulation can be completely reversed if we look at the unaggregated data, the occurrence is known as Simpson's paradox.
To know more about the cross tabulation, click on the link
https://brainly.com/question/13513919
#SPJ4
Decide whether the relation is a function. If it is a function, give the domain and
range. ( please help <3)
Fourth relation is not a function, fifth relation is a function with Domain {1,2,3,4} and Range {4} and sixth relation is also a function with Domain {0,2,4} and Range {6,3}.
What is relation and function?
A function is a relation that states that there should only be one output for each input. Alternatively, we could say that a function is a special sort of relation (a collection of ordered pairs) that adheres to the rule that every X-value should only be connected with one y-value.
The Cartesian product is a subset of a relation. Or just a lot of points (ordered pairs). In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets.
The most important condition for a relation to be a function is that all its input value should have one and only one out put value.
So, in fourth question we can see that both the input have two output values, that's why this relation is not a function.
In fifth all the input values have only one out put value that's why it is a function with Domain {1,2,3,4} and Range {4}
Similarly, in sixth all the input values have only one out put value that's why it is a function with Domain {0,2,4} and Range {6,3}
To know more about relation and function, go to link
https://brainly.com/question/24779057
#SPJ10
Which expression equals value 4? OA) (4+5) 3² - 9 ÷ 3² B) 4+5 (3²-9) ÷ 3² - OC) 4+5.3 (9÷3²) OD) 4+5.3² - 9-3 -
Answer:
B)
Step-by-step explanation:
4+5*(3^2-9)/3^2=4+5*0/9=4
Use the vertex and a point on the parabola to write an equation in vertex form for the quadratic graph.
By using the vertex and the given point of the parabola, we conclude that the equation is:
y = -1*(x - 2)^2 + 2
How to find the equation of the parabola?
For a parabola with a leading coefficient a and a vertex (h, k), the vertex form is:
y = a*(x - h)^2 + k
In this case, we can see that the vertex is (2, 2), replacing that we get:
y = a*(x - 2)^2 + 2
We also can see that the parabola passes through (0, -2) replacing that in the above equation we get:
-2 = a*(0 - 2)^2 + 2
-2 = a*4 + 2
-2 - 2= a*4
-4 = a*4
-4/4 = a
-1 = a
Then the equation for the parabola is:
y = -1*(x - 2)^2 + 2
Learn more about parabolas:
https://brainly.com/question/4061870
#SPJ1
Given two angles that measure 50° and 80° and a side that measures 4 feet, how many triangles, if any, can be constructed?
Remember that the sum of the three interior angles of a triangle is 180°.
Now, let's call the remaining angle x. We would have:
[tex]x+50+80=180[/tex]Solving for x,
[tex]\begin{gathered} x=180-50-80 \\ \Rightarrow x=50 \end{gathered}[/tex]From this, we get that the remaining anlge has to measure 50°. Now, as we already have a side that measures 4 feet, the other two sides are constrained; neither of them can have any measurement that's different to the one that constructs the remaining 50° angle.
Therefore, only one triangle can be constructed.
Find x, the greatest height (picture below)
The value of x or maximum height is equal to 5ft
The Maximum Height X of the see-sawThe maximum height that can be achieved by the see-saw can first be solve if we find the angle between the height and the adjacent side.
We have to proceed with trigonometric ratio which is SOHCAHTOA
To do this, we can take the first triangle and then find the value of the angle
Using Tangent of the angle;
[tex]tan\theta = \frac{opposite}{adjacent} \\tan\theta =\frac{2.5}{4}\\\theta = 32^0[/tex]
Using this value of theta, can find the maximum height attained by the see-saw.
Using Tangent of the angle again;
[tex]tan\theta = \frac{opposite}{adjacent}\\ tan 32 = \frac{x}{4 + 4} \\tan 32 = \frac{x}{8} \\x = 4.9998 = 5ft[/tex]
The maximum height attained by the seesaw is approximately equal to 5 ft
Learn more on trigonometric ratio here;
https://brainly.com/question/24349828
#SPJ1
I need help with this asap
The length of side s is 11.7 cm (to a tenth of a cm).
What is a sine function in trigonometry?The sine function in trigonometry is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right-angled triangle. A right triangle's unknown angle or sides are determined using the sine function.
Given:
In right angled triangle ΔVST,
Length of side VS = 5.3 cm
Length of side VT = s cm
The measure of ∠VTS = 27°
Using the sine function of Trigonometry,
sin θ = VS/VT
sin 27° = 5.3/s
s = 5.3/0.454 (sin 27° ≈ 0.454)
s ≈ 11.7 cm (to a tenth of a cm)
Therefore, the length of side s is 11.7 cm.
To know more about length of side visit:
https://brainly.com/question/23863620
#SPJ13
Combine like terms.I need help of these can you help me?
Given:
an expression is given as below
[tex]2y^3-4x^2-4-1+3x^2-3y^3-y^3[/tex]Find:
we have to combine like terms.
Explanation:
we will combine like terms as follows
[tex]\begin{gathered} 2y^3-4x^2-4-1+3x^2-3y^3-y^3=y^3(2-3-1)+x^2(-4+3)-4-1 \\ =-2y^3-x^2-5 \end{gathered}[/tex]Therefore, the answer is
[tex]-2y^3-x^2-5[/tex]a ) 1 : 2 = ____ : 4
could somebody help me awnser that
Answer: 1:2 = 2:4
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2 ÷ 4 = 2
1 x 2 = 2
so 2 is your answer
Which inequality correctly compares 23%, 0.85, and four and one fourth?
A 0.85 < four and one fourth < 23%
B four and one fourth < 0.85 < 23%
C 0.85 < 23% < four and one fourth
D 23% < 0.85 < four and one fourth
By writing all the numbers as decimals, we can see that the correct option is D, the correct inequality is:
23% < 0.85 < four and one fourth
Which inequality correctly compares the 3 numbers?
Here we have 3 numbers, which are:
0.85
23%
4 + 1/4.
So we have a decimal number, a percentage number, and a mixed number, let's write all of them as decimal numbers.
For the percentage, to get the decimal form we just need to divide it by 100%, so we will get:
23%/100% = 0.23
For the mixed number we have:
4 + 1/4 = 4 + 0.25 = 4.25
Then our 3 numbers are:
0.85
23% = 0.23
4 + 1/4 = 4.25
Then the correct order is:
23% < 0.85 < 4 and 1/4.
So the correct inequality is the one in option D.
Learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1
Answer:
d
Step-by-step explanation:
Write an equation from words
107 less than the quantity 383 times t equals j
The equation of the words in mathematical form is 107 - 383t = j
Equation From WordsTo solve this problem, we simply need write the words in mathematical forms.
This can be put as;
Let x represent the unknown value.
[tex]107 - 383t = j[/tex]
The equation that can be represented by the words is given as
107 - 383t = j
Learn more on equation from words here;
https://brainly.com/question/21405634
#SPJ1
dilation a triangle QRS with center T and scale factor 2
SRQ and SARAH ttttsttetits get t for the candy and I need to do a red ♥️
a group of 155 seniors at a local university were asked if they took an economics class and if they had an internship.the following table shows the results.economics class no economics class totalinternship 30 68 98no internship 16 41 57total 46 109 155according to the table, what is the probability that a randomly chosen senior does not have an internship given that they took an economics class? give your answer as a fraction in simplest form
The probability that a randomly chosen senior among 155 seniors at a local university does not have an internship provided they took an economics class is 8/23 (the answer is given in the simplest fraction form)
No of students who do not have an internship in economics class = 16
Total no. of students in economics class = 46
P(A|B) = probability of occurrence of A given B has already occurred ( conditional probability)
The probability that a randomly chosen senior does not have an internship given that they took an economics class
= P (Does not have internship | Economics class )
= P(Does not have internship in economics class) / P ( Takes economics class )
=16 / 46
= 8 / 23
More on conditional probability
brainly.com/question/14954386
#SPJ4
Make r the subject of the formula t =r/r-3
In elementary arithmetic and elementary algebra, one can cross-multiply to solve an equation involving two fractions or rational expressions or to discover the value of a variable. If the formula be t = r/r-3 then r = 3t / (t -1).
What is meant by cross-multiplication?In mathematics, specifically in elementary arithmetic and elementary algebra, one can cross-multiply to solve an equation involving two fractions or rational expressions or to discover the value of a variable.
In cross-multiplication, we multiply the first fraction's numerator by the second fraction's denominator, and the second fraction's numerator by the first fraction.
Only use cross multiplication to check whether one fraction is greater than another or to locate a denominator or numerator that is absent in similar fractions.
Let the formula be t = r/r-3
Cross multiply,
t(r - 3) = r
simplifying the above equation, we get
tr - 3t = r
tr = r + 3t
tr - r = 3t
r(t -1) = 3t
r = 3t / (t -1)
Therefore, the value of r = 3t / (t -1).
To learn more about cross-multiplication refer to:
https://brainly.com/question/294036
#SPJ13
Need a hand can anyone offer?
The missing statements and reasons are;
Statement 4; m∠ABC = m∠BED
Reason 4: Corresponding Angles Theorem
How to Interpret Two Column Proof of Angles?We are given the two column proof table of the angles as;
Statement 1; BC is parallel to ED
Reason 1; Given
Statement 2; m∠ABC = 70°
Reason 2: Given
Statement 3; m∠CED = 30°
Reason 3: Given
Statement 4; m∠ABC = m∠BED
Reason 4: Corresponding Angles Theorem
Statement 5; m∠BEC + m∠CED = m∠BED
Reason 5: Angle Addition Postulate
Statement 6; m∠BEC + 30° = 70°
Reason 6: Substitution Property of Equality
Statement 7; m∠BEC = 40°
Reason 7: Subtraction Property of Equality
Read more about Two Column Proof at; https://brainly.com/question/5497450
#SPJ1
G(x)=-3x-8
G(____)=10
Answer: x = -6
Step-by-step explanation: First, you want to set up the equation as -3x-8 = 10, as we’re trying to find x. Then you would add 8 to both sides to get rid of the -8. This leaves you with -3x = 18. Then you would divide by -3 on both sides to isolate the x. This leaves you with x = -6. If you plug -6 back into the equation:
-3(-6) -8
18-8
10, so g(-6) is 10.
How much is 35 ib to kg
pls help need to anwser this question by midnight
The standard form of equation of line is Ax + By = C, where A and B are constant.
What is termed as the equation of line?A straight line equation is a mathematical formula that describes the relationship between the coordinates on that straight line. It can be written in several ways and indicates the slope, x-intercept, as well as y-intercept of a line. The most common forms of the straight line equation are y = mx + c and ax + by = c. A straight line is a figure formed by connecting two points A (x1, y1) and B (x2, y2) with the shortest distance possible and extending both ends to infinity.Thus, a linear equation to variables x and y has the following standard form: Ax + By = C, where A, C and B are constant.
To know more about the equation of line, here
https://brainly.com/question/18831322
#SPJ13
