Therefore, a 9-sided polygon's interior angle is 140 degrees.
What is a polygon?A polygon (/pln/) is a closed polygonal chain made up of a finite number of straight line segments that are joined to form a planar figure in geometry (or polygonal circuit).
A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both.
A polygonal circuit's segments are referred to as its edges or sides.
The polygon's vertices (plural: vertices) or corners are the places where two edges converge.
A solid polygon's body is another name for its inside.
A polygon with n sides is referred to as a "n-gon"; a triangle is an example of one.
Simple polygons do not overlap one another.
Mathematicians frequently focus on small polygons' bounding polygonal chains, and they frequently define
According to our question-
Interior Angles- Angles within a shape, usually a polygon, are referred to as the interior angles of that shape.
Sum of interior angles= (n -2) *180°,
= (9-2)*180
= 7*180
= 1260
Hence, the value of each angle is 140
where n is the polygon's side number.
Hence, a 9-sided polygon's interior angle is 140 degrees.
learn more about polygons click here:
brainly.com/question/26583264
#SPJ4
HELP
Distinguish the difference between linear relationships, nonlinear relationships, and correlations.
Answer:
The graph of a linear equation forms a straight line, whereas the graph for a non-linear relationship is curved. ... A non-linear relationship reflects that each unit change in the x variable will not always bring about the same change in the y variable
Given: y varies directly with x and has a constant rate of change of 7. when the value of y is 12, then the value of x would be _____.
Answer:X=12/7
Step-by-step explanation:
Y \(\alpha\) X
⇒Y=KX
Where K is the constant
From the question,k=7
⇒ When Y=12,
y=KX
12=7X
X=12/7
The rim of the volcanic crater shown below is a circle. The diameter is 840 m.
What is the circumference of the rim of the crater in kilometres (km)?
Give your answer to 1 d.p.
840 m
Not drawn accurately
Answer:
2.6 kilometers
Step-by-step explanation:
To find the circumference of a circle, we can use the formula:
Circumference = π * diameter
Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:
Circumference = π * 840
Using the approximate value of π as 3.14159, we can calculate the circumference:
Circumference = 3.14159 * 840
Circumference ≈ 2643.1796 meters
To convert the circumference to kilometers, we divide the value by 1000:
Circumference in kilometers = 2643.1796 / 1000
Circumference ≈ 2.6432 kilometers
Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).
Raúl says the expression -25 (3x – 20) is equivalent to – 5x – 500. Do you agree?
Explain why or why not.
Answer:
No.
Step-by-step explanation:
Problem: -25 (3x - 20)
-25 x 3x = -75x
-25 x 20 = -500
-75x - -500 =
Answer (equivalent to): -75x + 500
Use the least-squares equation for the table below to predict the depth of an earthquake that measures 3.8 on the Richter scale? x = earthquake magnitude 2.9 4.2 3.3 4.5 2.6 3.2 3.4 y = depth of earthquake (in km) 5 10 11.2 10 7.9 3.9 5.5
A. 9.13
B. 8.73
C. 8.62
D. 8.43
The predicted depth of an earthquake measuring 3.8 on the Richter scale, using the least-squares equation for the given table, is approximately 8.62 km (option C).
In order to predict the depth of the earthquake, we need to find the equation of the least-squares regression line. Using the given data points, we calculate the slope and intercept of the line. Once we have the equation, we can substitute the magnitude value of 3.8 into the equation to obtain the predicted depth.
The least-squares regression line equation is of the form y = mx + b, where y represents the dependent variable (depth), x represents the independent variable (earthquake magnitude), m represents the slope, and b represents the intercept. By applying the least-squares method, we find the equation to be y = -1.16x + 12.06.
Substituting x = 3.8 into the equation, we get y ≈ -1.16(3.8) + 12.06 ≈ 8.62. Therefore, the predicted depth of the earthquake is approximately 8.62 km, which corresponds to option C.
Learn more about regression here:
https://brainly.com/question/32505018
#SPJ11
-18=7v+9-10v
slove for v.
Answer:
v=9
Step-by-step explanation:
-18 = 7v + 9 - 10v
combine like terms
-18 = -3v + 9
-9 -9
-27 = -3v
divide both sides by -3
9 = v
or
v = 9
Hope this helps!!!
The square root of 52 is between which two consecutive Integers?
26 and 27
25 and 26
07 and 8
8 and 9
What is the equation linear function in point-slope form M=-1/5 and f(0)=7
Answer:
y-7= -1/5x
Step-by-step explanation:
general formula (y-y1)= m(x-x1)
m is the slope and in this case m=-1/5
(x1, y1) is a point on thhe line in this case is (0, 7) because f(x)=y
substitute your given in the equation
(y-7) = -1/5(x-0)
y-7= -1/5x
Find a formula for the exponential function passing through thepoints (-1, 2/5 ) and (3,250)
The exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
By combining the fourth roots from both sides, we arrive at:
b = 5
When we use the expression we discovered for a and this value of b, we get:
a = (2/5) * 5 = 2
As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
what are functions?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
from the question:
This is the shape of the exponential function:
f(x) = a *\(b^x\)
where a represents the starting point and b represents the exponential function's base.
We must solve the system of equations to determine the values of a and b that meet the requirements:
a * \(b^(-1)\) = 2/5 (equation 1)
a *\(b^3\)= 250 (equation 2)
We can solve for an in equation 1 by multiplying both sides by b:
a = (2/5) * b
Substituting this expression into equation 2, we get:
(2/5) * b *\(b^3\) = 250
Simplifying, we get:
\(b^4 = 3125\)
By combining the fourth roots from both sides, we arrive at:
b = 5
When we use the expression we discovered for a and this value of b, we get:
a = (2/5) * 5 = 2
As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
to know more about functions visit:
https://brainly.com/question/12431044
#SPJ1
the graphs of three functions are shown. Which statements accurately compare the functions on the graph? Select two options. The square root and quadratic function share a y-intercept. The square root and absolute value function share an x-intercept. The range of the square root and quadratic function are the same. The range of the square root and absolute value function are the same. The quadratic function and the absolute value function have a minimum while the square root function has a maximum.
The graphs of the three functions on the graph can be compared in a few different ways.
The square root and quadratic function share a y-intercept of 0, since the quadratic function is y = x2 and the square root function is y = √x. The square root and absolute value function share an x-intercept of 0, since the equation for the absolute value function is y = |x|.The range of the square root and quadratic function are different, since the maximum of the quadratic function is at (0, 0), while the maximum of the square root function is at (1, 1). The range of the square root and absolute value function are also different, since the maximum of the absolute value function is at (0, 0), while the maximum of the square root function is at (1, 1).Finally, the quadratic function and the absolute value function have a minimum, which is at (0, 0). On the other hand, the square root function has a maximum, which is at (1, 1).
Learn more about graphs here:
https://brainly.com/question/30934484
#SPJ1
Answer: Its A and D
Step-by-step explanation:
PLEASE HELP ASAP‼️‼️ I’ve been wasting my points and I don’t know the answer
The ratio of SR and ML and ratio of ST , MN are equal ,so they are similar triangles .
What is triangle ?
Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.
In given two triangles,
RST and NLM
In the triangle RST ,
The sum of angles is 180
so,
44 + 15 + S = 180
S = 180 - 59
S = 121
And similarly in the triangle NLM,
N + 121 + 44 = 180
N = 180 - 165
N = 15
Therefore, The values of given angles S and N are 121 , 15 respectively
SR / ML = 3.61 / 5.415 = 0.667
ST / MN = 9.71 / 14.565 = 0.667
Hence, The ratio of SR and ML and ratio of ST , MN are equal ,so they are similar triangles .
To learn more about Triangle from given link.
brainly.com/question/2773823
#SPJ1
What is 8.04 × 101?
0.804
8.04
8.4
80.4
Answer:
812.04
Step-by-step explanation:
Answer:
812whdbniyqwteyw9q08uehb
Step-by-step explanation:
idkfu
PLEASE ANSWER NOW!!!! WILL THUMBS UP!
The following scatter plot displays the finish time (in minutes) and age (in years) for the male racers at the 2018 Strawberry Stampede (a 10k race through Arroyo Grande). 14 70-year-old male with a finishing time of 35 minutes was added to the data set would the correlation coefficient increase, decrease, or remain the same? Increase Decrease Remain the same Unable to determine with the information provided
The correlation coefficient of the data-set would decrease inserting the 70-year-old male with a finishing time of 35 minutes into the data-set.
What is a correlation coefficient?A correlation coefficient is a statistical measure that indicates the strength and direction of a linear relationship between two variables.
The coefficients can range from -1 to +1, with -1 indicates a perfect negative correlation, 0 indicates no correlation, and +1 indicates a perfect positive correlation.
From the image given at the end of the answer, we have that the point (70, 35) is far from the cluster of points in the scatter plot, hence the correlation coefficient would decrease.
More can be learned about correlation coefficients at brainly.com/question/16355498
#SPJ4
what is the first whole number greater than √13
The square root of 13 is 3.6055512755. The next whole number is 4.
Charlie had 641 marbles and put them equally into 5 bags. How many marbles
remain after placing 128 marbles in each bag?
Answer:
1 marble left.
Step-by-step explanation:
641 - 5(128) = 1
Answer:
1 Marbles remain
Step-by-step explanation:
641/5 = 128 Remainder 1
[RevyBreeze]
I need help with this
Step-by-step explanation:
I just answered this. how often did you post that ?
because they are parallel, we have similar triangles with one common scale factor for all correlating pairs of sides.
therefore, e.g.
EC/DB = AE/AD
8/4 = x/6
2 = x/6
x = 12
AC = AE + EC = 12 + 8 = 20
A map key shows that 3cm represents 60 miles. Which proportion could be used to find m, the number of miles represented by 8 centimeters?
A: 3/60=m/8
B: 3/8=m/60
C: 3/5=60/m
D: 3/60=8/m
Answer:
D
Step-by-step explanation:
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal cost $78.90 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the cost of the meal?
Answer:
The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.
This would cost 85% * 78.65.
However, they also have to pay a 20% tip of the meal cost.
This would cost 20% * 78.65.
Step-by-step explanation:
total Cost = (85% * 78.65) + (20% * 78.65)
= 105% * 78.65
= 1.05 * 78.65
= $82.58
Plz help I’m on time
I need help please I am confused
Answer:
1) 44
2) 430
3) 17
Step-by-step explanation:
1) 4 × 4 = 16, and 4 + 4 = 8.
2) The units digit is 0. Since the hundreds digit is one more than the tens digit, and since the sum of the three digits is 7, the hundreds digit is 4, and the tens digit is 3.
3) 1 × 7 = 7, and 1 + 7 = 8. The units digit is 7, and the tens digit is 1.
Jane and some friends entered a snowman-building contest at a winter carnival. Before getting started, they predicted the height of the snowman they would build. When they finished, the snowman was 80 inches tall. Their prediction was 10% lower than that. How tall had the group predicted their snowman would be?
The group had predicted their snowman to be 8 inches lower than the actual height, which means their prediction was 72 inches tall.
To find the predicted height of the snowman, which was 10% lower than the actual height of 80 inches, we can calculate 10% of 80:
In the snowman-building contest, Jane and her friends made a prediction about the height of the snowman they would build.
When they completed their creation, they measured the snowman and found it to be 80 inches tall.
However, their prediction had been 10% lower than the actual height.
To determine the predicted height, we need to calculate 10% of 80.
This can be done by multiplying 80 by 10/100 or simply 0.10.
The result is 8, indicating that their prediction was 8 inches lower than the actual height.
Thus, the group had initially predicted their snowman to be 8 inches less than the final measurement of 80 inches.
To find the predicted height, we subtract 8 from 80, yielding a predicted height of 72 inches.
In summary, Jane and her friends had anticipated their snowman to be 72 inches tall, but they ended up constructing a snowman that reached a height of 80 inches at the winter carnival.
For similar question on prediction.
https://brainly.com/question/31561722
#SPJ11
Two eight-sided dice each have faces numbered $1$ through $8$. When the dice are rolled, each face has an equal probability of appearing on the top. What is the probability that the product of the two top numbers is greater than their sum
The probability that the product of the two top numbers is greater than their sum for eight-sided dice is 3/4.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
An event's probability is a value between 0 and 1 and 1, wherein, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
The formula for probability is;
Probability = Favourable outcome/ Total outcome
Now, according to the question;
Consequently, the sum is greater if at least a single of the integers is 1. Such possibilities are 15.
1×n = n < 1 +n
Now consider for 2
2×2 = 2 + 2
For n > 2,
where, 2×n = n + n > 2 + n.
For all 8×8 combinations,
15 + 1 = 16 is the case whose sum is greater than or equal to the product.
Thus, 8×8 = 64
64 -16 = 48 are the total cases for the sum which is smaller and satisfies the condition.
Thus, the probability is 48/ 64 = 3/4.
Therefore, the probability that the product of the two top numbers is greater than their sum is 3/4.
To know more about the probability, here
https://brainly.com/question/25870256
#SPJ4
Jeffrey has a fish tank that holds 8 liters of water. He already has the tank filled with 1 liter of water. How many more milliliters of water does Jeffrey need to completely fill the fish tank
Jeffrey has a fish tank that holds 8 liters of water. He already has the tank filled with 1 liter of water. Thus, to fill the fish tank completely with water, Jeffrey needs 7000 milliliters of water.
This is because 1 liter is equal to 1000 milliliters. Thus, 8 liters are equal to 8 × 1000 = 8000 milliliters.
Therefore, the amount of water Jeffrey needs to completely fill the fish tank is 8000 - 1000 = 7000 milliliters of water.
Jeffrey has a fish tank of 8 liters of water that already has 1 liter of water in it.
The amount of water Jeffrey needs to completely fill the fish tank is calculated by subtracting the liters of water already present in the tank from the total liters of water the tank can hold.To completely fill the fish tank, Jeffrey needs to fill the remaining 7 liters with water. One liter of water is equivalent to 1000 milliliters. Thus, Jeffrey needs to multiply the remaining liters of water he needs to fill by 1000 milliliters.
7 × 1000 = 7000
Therefore, Jeffrey needs 7000 milliliters of water to completely fill the fish tank with water.
To completely fill the fish tank, Jeffrey needs 7000 milliliters of water because he has already filled it with 1 liter of water, and the fish tank can hold 8 liters of water.
To know more about fish tank visit:
brainly.com/question/3381308?
#SPJ11
Algebra help!
If you can also explain that would be appreciated!! If not that's totally okay I just really need the help!!
Answer:
We have the value as;
8x/5
Step-by-step explanation:
Here, we want to get the breakdown of the given expression
We have (x^2 - 9) as (x-3)(x + 3)
So we have;
2x/(x + 3) * (x-3)(x+3)/5 * 4/(x-3)
= 2x * 4/5= 8x/5
For each set of points below, determine the distance between them using the distance formula. If necessary express your answer in simplest radical form OR rounded to the nearest tenth.
where are the points below? i cant do anything if there isnt numbers or anything to work with
Simplify the irrational number 128 and estimate it to two decimal places
The approximation of the irrational number, according to the question, is 11.31.
Why are certain numbers irrational?Any actual figure that can't be written as the ratio between two integers, p/q, where both p and q also are integers, is referred to as an irrational number. For instance, it is impossible to represent the integral of 2 as a decimal or a fraction.
The Greeks recognised that a square with sides that are each one measure length has a diagonal which length is irrational. The diagonal's length matches the square root of two according to the Pythagorean Theorem. The denominator of 2 is hence illogical.
\(\sqrt{128}\)
Transform the Expression :
\(\sqrt{8^2 }\)×\(\sqrt{2}\)
Simplify the expression :
\(8\sqrt{2}\)
Round \(8\sqrt{2}\) =
11.31
To know more about Irrational Number visit :
https://brainly.com/question/17861623
#SPJ1
The Complete Question :
Simplify the irrational number \(\sqrt{128}\) ; then estimate it to two decimal places.
What is the solution set of -|x| = -8?
A. {8}
B. {-8}
C. {-8, 8}
D. no solution
Need an answer soon.
Thank you to that who figures it out.
Write a olution that contain ax2=y and ha no olution when a=4 and one olution otherwie
The equation "ax2 = y," which has one solution unless a = 4, and none unless a = 4, has a solution. x = √(-4ay) / (2a) restricted by the condition that y be negative.
We may use the quadratic formula to determine the solutions to an equation for various values of an to construct a solution to the equation "ax² = y," which has no solution when a = 4 & just one solution in all other cases.
According to the quadratic formula, the answers to the problem "ax2 + bx + c = 0" are provided by
x = (-b +/- √(b² - 4ac)) / (2a)
In this formula, if we add "ax² = y," we obtain
x = (-0 +/- √(0² - 4ay)) / (2a)
which simplifies to
x = √(-4ay) / (2a)
If a = 4, the equation becomes
x = √(-16y) / 8
The equation has no solutions if y is positive because the value of (-16y) is fictitious. The value of (-16y) is real if y is negative, but the equation is still unsolvable since x cannot have a negative value. As a result, when a = 4, the problem has no solutions.
The equation has a single solution provided by any other value of a.
x = √(-4ay) / (2a)
For example, if a = 3, the equation becomes
x = √(-12y) / 6
Since √(-12y) is imaginary if y is positive, the problem has no solutions. If y is negative, √(-12y) has a real value, and there is only one solution to the problem.
Learn more about the polynomial equation at
https://brainly.com/question/11536910
#SPJ4
consider an undirected graph that has 100 vertices. for any pair of vertices, only 1 edge can connect them. in other words, you cannot have 2 edges connecting vertex a directly to vertex b. also assume that there are no self-loops, i.e. an edge that goes from vertex a to vertex a. what is the maximum number of edges that can be in this specific graph?
So the maximum number of edges in an undirected graph with 100 vertices is 4950.
In an undirected graph, each edge connects two vertices, and as such, it is counted twice, once for each vertex it connects. Therefore, the total number of edges in the graph is the sum of the degrees of all vertices, divided by 2.
In a complete graph with n vertices, every vertex is connected to every other vertex, except itself, and so the degree of each vertex is n-1 (it is connected to n-1 other vertices). Therefore, the total number of edges in the graph is:
n * (n-1) / 2
Substituting n = 100, we get:
100 * 99 / 2 = 4950
To know more about graph,
https://brainly.com/question/29467965
#SPJ11
use cylindrical coordinates. evaluate x2 dv, e where e is the solid that lies within the cylinder x2 y2 = 4, above the plane z = 0, and below the cone z2 = 36x2 36y2.
Using cylindrical coordinates ∫∫∫ (r^3cos^2θ) dz dr dθ, where r ranges from 0 to 2, θ ranges from 0 to 2π, and z ranges from 0 to √(36r^2).
To evaluate the integral ∫∫∫ x^2 dV over the solid e, using cylindrical coordinates, we need to express the integral in terms of cylindrical coordinates and determine the appropriate bounds for the variables.
In cylindrical coordinates, the solid e can be defined as follows:
Radius: r ranges from 0 to 2 (from x^2 + y^2 = 4, taking the square root).
Angle: θ ranges from 0 to 2π (full revolution around the z-axis).
Height: z ranges from 0 to the height of the cone, which is determined by z^2 = 36x^2 + 36y^2.
To convert the integral, we need to express x^2 in terms of cylindrical coordinates:
x^2 = (rcosθ)^2 = r^2cos^2θ
The integral in cylindrical coordinates becomes:
∫∫∫ (r^2cos^2θ) r dz dr dθ
Now we can determine the bounds for the variables:
r ranges from 0 to 2.
θ ranges from 0 to 2π.
z ranges from 0 to the height of the cone, which can be determined by setting z^2 = 36r^2.
Substituting the bounds and integrating, we can evaluate the integral to find the desired result.
To know more about cylindrical coordinates refer here:
https://brainly.com/question/30394340
#SPJ11