Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 444 gumballs rather than 111. The radius of each gumball is 666 mm.
The total volume of all 4 gumballs: V=3,620 mm³
Gumball is in the shape of a Spherical so we Use the formula for the total volume of a sphere:
Volume of Sphere = (4/3)πr³
r = Radius of Sphere
Plug the given radius into the formula, r = 6mm
Volume of 1 gumball = (4/3)π * 6³
V= 288π mm³
The total volume of a single gumball will be 288π cubic millimeters.
Because you have 4 gumballs, multiply the total volume of a gumball by 4 to find the total volume for all 4 gumballs.
Volume of 4 gumballs = 4 * 288π
V= 1152π mm³
In terms of π, the total volume of the 4 gumballs is 1152π cubic millimeters.
Assuming π = 3.14, multiply 1152 and 3.14 together.
1152*3.14= 3,617.28 mm³
To know more about the Volume of the sphere:
https://brainly.com/question/10135720
#SPJ4
Create a relation with 5 coordinates that is a function. Create the mapping for your relation
The mapping of the relation will be :
(Domain) ⇒ (Range)
1 → 2; 2 → 4; 3 → 6; 4 → 8; 5 → 10
What is Mapping ?In order to have ordered pairs of the kind, relations and functions provide a mapping between two sets (Inputs and Outputs) (Input, Output). In algebra, relationship and function are crucial ideas. Both in real life and in mathematics, they are often utilized. To further comprehend the significance of each of these relational and functional concepts, let's describe them.
In order to have ordered pairs of the kind, relations and functions provide a mapping between two sets (Inputs and Outputs). In algebra, relationship and function are crucial ideas. Both in real life and in mathematics, they are often utilized. To further comprehend the significance of each of these relational and functional concepts, let's describe them.
If each element x∈R has a distinct R-relative, resulting in R[x] consisting of a single element, then the relation R is referred to be a mapping (map), a function, or a transformation. This distinct component is known as the function value at x and is indicated by the symbol R(x) (under R). R[x] therefore only has one member, R(x).
Let us consider a domain for x ∈ N
The R ⇒ R is defined for f(x) = 2x ; x≤ 5
f(x) = 2x
will have a domain of 1, 2, 3,4, 5 and The value of the function will be
f(x) = 2, 4, 6, 8, 10 .
So, the 5 coordinates of the relation is {(1,2), (2,4), (3, 6), (4,8), (5, 10)}
The mapping of the relation will be :
(Domain) ⇒ (Range)
1 → 2; 2 → 4; 3 → 6; 4 → 8; 5 → 10
To learn more abot Relation and Function refer to :
https://brainly.com/question/1504168
#SPJ1
The mapping of the relation will be :
(Domain) ⇒ (Range)
1 → 2; 2 → 4; 3 → 6; 4 → 8; 5 → 10
What is meant by map?
A map is a sign that emphasises the connections between various components of a space, such as locations, themes, or objects.Some maps are dynamic or interactive, while others are static and attached to paper or another long-lasting material.Maps can represent any location, actual or imagined, without respect to context or scale, as seen in brain mapping, DNA mapping, or computer network topology mapping, despite the fact that they are most frequently employed to describe geography.The space that is being mapped can be two dimensional, like the earth's surface, three dimensional, like the earth's interior, or even more abstract spaces of any dimension, like those that emerge when modelling phenomena with lots of independent variables.Let us consider a domain for x ∈ N
The R ⇒ R is defined for f(x) = 2x ; x≤ 5
f(x) = 2x
will have a domain of 1, 2, 3,4, 5 and The value of the function will be
f(x) = 2, 4, 6, 8, 10 .
So, the 5 coordinates of the relation is {(1,2), (2,4), (3, 6), (4,8), (5, 10)}
The mapping of the relation will be :
(Domain) ⇒ (Range)
1 → 2; 2 → 4; 3 → 6; 4 → 8; 5 → 10
To learn more about map refer to
https://brainly.com/question/25922463
#SPJ1
Determine the ratio of the surface area to volume for each cylinder
The ratio of the surface area to volume of each cylinder are:
1. 933/ 1909
2. 56/115
Surface area and volume of a cylinder.
The surface area of a cylinder is the sum of all its surfaces.
Surface area of a cylinder = 2[tex]\pi[/tex]r^2 + 2[tex]\pi[/tex]rh
The volume of a cylinder implies the amount of substance that it can contain.
volume of a cylinder = [tex]\pi[/tex]r^2h
1. The surface area of the cylinder = 2[tex]\pi[/tex]r^2 + 2[tex]\pi[/tex]rh
= 2[tex]\pi[/tex]r(r + h)
= 2*22/7*9(9 + 7.5)
The surface area of the cylinder = 933.43 sq. cm
ii. Volume of the cylinder = [tex]\pi[/tex]r^2h
= 22/7*9^2*7.5
volume of the cylinder = 1909.29 cubic centimeters
iii. The ratio of the surface area to its volume = 933.43/ 1909.29
= 933.43/ 1909.29
2. The surface area of the cylinder = 2[tex]\pi[/tex]r^2 + 2[tex]\pi[/tex]rh
= 2[tex]\pi[/tex]r(r + h)
= 2*22/7*5(5 + 23)
= 880 sq. cm
The surface area of the cylinder = 880 sq. cm
ii. Volume of the cylinder = [tex]\pi[/tex]r^2h
= 22/7*5^2*23
volume of the cylinder = 1807.14 cubic centimeters
iii. The ratio of the surface area to its volume = 880/ 1807.14
= 56/115
Learn more about the surface area and volume of a cylinder at https://brainly.com/question/29870289
#SPJ1
How does an earthquake of magnitude 7.9 compare in intensity with an earthquake of magnitude of 3.5 on the Richter scale?
This means that an earthquake of magnitude 7.9 is 10^4 (or 10,000) times more intense than an earthquake of magnitude 3.5.
What is earthquake?An earthquake is a sudden shaking of the ground caused by the shifting and breaking of large pieces of rock beneath the Earth's surface. Earthquakes can be caused by a variety of factors including the shifting of tectonic plates, volcanic activity, and underground explosions.
An earthquake of magnitude 7.9 is significantly more intense than an earthquake of magnitude 3.5 on the Richter scale. The Richter scale is logarithmic, meaning that each whole number increase in magnitude corresponds to an increase in shaking intensity by a factor of 10. This means that an earthquake of magnitude 7.9 is 10^4 (or 10,000) times more intense than an earthquake of magnitude 3.5.
To learn more about earthquake
https://brainly.com/question/29073753
#SPJ1
What is quadratic example?
The quadratic example is ax² + b x + c = 0 where x stands for an unknown value and where a, b, and c stand for known numbers is known as a quadratic equation in algebra.
What is quadratic example?Quadratic equations are second-degree polynomial equations with at least one squared term. It is also referred to as quadratic equations.
The numerical coefficients a, b, and c are known, while the unknown variable x is. For example , x2 + 2x + 1. It also goes by the name quadratic equation as in: b x +c=0
The terms a, b, and c are also referred to as quadratic coefficients.
'Examples of Quadratics
x² –x – 9 = 0
5x² – 2x – 6 = 0
3x² + 4x + 8 = 0
-x² +6x + 12 = 0 (an example of non-quadratic equation is x³ − x² − 5 = 0)
To learn more about quadratic
https://brainly.com/question/22364785
#SPJ4
In a survey done before an election, 65% people liked leader A and 60% people liked leader B. If 15%
people did not like to open their views to any of the leaders, using a Venn diagram find the percentage of
people who liked both the leaders.
The proportion of people who approved of both leaders exists 40%.
What is meant by Venn diagram?The logical connections between two or more sets of objects are shown by a Venn diagram, which uses circles or other forms that overlap. They frequently act as a visual organization tool, showcasing how things are alike and different.
A Venn diagram is a type of visual organizer that examines the connections among a variety of items. It consists of overlapping circles. To organize things, numbers, and shapes, they are frequently utilized. An instruction or label that relates in some way to the data is given to each circle.
As stated in the title. 60% of individuals favored leader B, and 65% favored leader A. If 15% of the population remained closed to the leaders,
The proportion of people who approved of both leaders
= 60 % - 20 % = 40 %
To learn more about Venn diagram refer to;
https://brainly.com/question/2099071
#SPJ1
Paul wanted to buy a car, but he needed to borrow money. What is it called when you
borrow money over an extended amount of time? HELPP ASSAAPP
a) cashiers check
b) deposit
c) finance
d) credit
Answer:
I'm not too sure but i believe its credit.
Answer:
D.) credit
Step BY STEP EXPLANTION
answer this question
The data point 56.7 seconds is an outlier, so we should discard it and measure it again.
The correct option is the last one.
Which data point should be measured again?When we have some data, there may be what we call "outliers".
An outlier is a data point that is "away" from the rest of the data points.
For example, if you look at the table, you can see that most values are around 20 seconds, except for one value, which is the middle one and it is:
56.7 seconds.
That point is really far away from all the others on the table, so we can see that it is an outlier, then we should discard it and measure it again.
Thus the correct option is the last one: 56.7 s
Learn more about outliers:
https://brainly.com/question/3631910
#SPJ1
12.
2
What value must k be in order for the ordered pair (-1, k) to be a solution
to the function f(x) = -x + 2?
The value of k in order for the ordered pair (-1,k) to be a solution to the function, f(x) = -x + 2 will be 3.
What is a function?In mathematics, a function is a rule or an expression that establishes a connection between one variable, known as the independent variable, and another variable known as the dependent variable. It defines the relationship between the two variables, in such a way that for every unique value of the independent variable, there is a corresponding unique value of the dependent variable. Functions are widely used in many areas of mathematics such as algebra, calculus, and trigonometry, as well as in many other fields such as physics, engineering, and economics.
How does the graphical representation of a function differ from the algebraic representation?A function can be represented in two ways: graphically and algebraically. The graphical representation of a function is a graph of the function, where the x-axis represents the independent variable and the y-axis represents the dependent variable. A function can be plotted as a set of ordered pairs (x,y) on the coordinate plane. The algebraic representation of a function is an equation that defines the relationship between the independent variable and the dependent variable. The equation can be written in the form of y = f(x) or y = ax + b, where x and y are the variables, and a and b are constants. The graphical representation of a function provides a visual representation of the relationship between the independent and dependent variables, while the algebraic representation provides a way to calculate the output for any given input.
To find the value of k , that satisfies the given equation, we need to substitute the ordered pair (-1, k) the the given equation as follows,
f(-1) = -(-1) + 2
or , k = 1+2
therefore, k =3
To learn more about functions visit:
https://brainly.com/question/12431044
#SPJ1
I need to find the area with "A = 1/2 • b • h"
The given figure is a composite figure which consists of a rectangle BECF and a triangle ABD.
Find the area with "A = 1/2 • b • h" ?In the above figure,
(1) BECF is a rectangle
(2) ABD is a triangle
Area of the given composite figure
= Area of rectangle BECF + Area of triangle ABD
Area of rectangle BECF :
length CF = 18 cm and width BC = 10 cm
= length x width
= 18 x 10
= 180 cm2 ----(1)
Area of triangle ABD :
Base BD = BE - DE => 18 - 6 => 12 cm
Height AB = AC - BC => 8 - 10 => 2
Area of triangle ABD = (1/2) x b x h
= (1/2) x 12 x 2
= 12 cm2 ----(2)
(1) + (2) :
Area of the given composite figure is
= 180 + 12
= 192 cm2
To learn more about the Area of a Composite Figure refer to:
https://brainly.com/question/21135654
#SPJ1
Select the correct answer.
If f(x) = x3, what is the equation of the graphed function?
A. Y= f(x-3)-2
B. Y= f(x+3)-2
C. Y=f(x+2)-3
D. Y=f(x-2)+3
The equation of the graphed function will be;
⇒ Y = f (x + 3) - 2
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ f (x) = x³
Now,
Since, The equation of the graphed function is,
⇒ y = (x + 3)³ - 2 ..(i)
And, Here, The function is,
⇒ f (x) = x³
Put x = x + 3;
⇒ f (x + 3) = (x + 3)³
Substitute above value in equation (i), we get;
⇒ y = f (x + 3) - 2
Thus, The equation of the graphed function is,
⇒ Y = f (x + 3) - 2
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ1
Which region correctly represents the solution set of the inequalities y >= -5x + 1 and y >= x - 11
The area shows the solution set of the inequalities with accuracy. y >= -5 x + 1, X min, -10 X max, Y min, -10 Y max. and y >= x - 11 equals X min -10, X max 10, and Y min -10, Y max 10.
In what region is the solution set for the inequality?In the shaded area, solutions will be found. Ordered pairs on the border line are not part of the solution set because this is a "less than" problem. Solutions as well as these values are in the shaded area. Every point(a,b) where all inequality conditions hold when x=a and y=b is referred to as the solution zone of an inequality.
The solution set of the inequalities is accurately represented by region. Y >= -5 x + 1 X min -10 X max 10 X max 10 Y min -10 Y max 10. This region accurately depicts the set of solutions to the disparities. if y >= x – 11 then X min – 10 X max – 10 Y min – 10 Y max – 10
To learn more about inequalities refer to :
https://brainly.com/question/24372553
#SPJ1
Is it possible to prove that the triangles are congruent by using the AAS congruence theorem?
Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.
The AAS congruence theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle. To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.
To learn more about the triangle, visit:
brainly.com/question/2773823
#SPJ4
Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.
The AAS congruence theorem
it states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle.
To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.
Learn more about congruence here :_
https://brainly.com/question/7888063
#SPJ4
pls help due tomorrow!!!
Answer:
start by defining some extremes:
the absolute maximum for a/b would be at the maximum a and minimum b. This is 4/4 = 1. The minimum for a/b is 3/5
Are these both allowed values? NO! Each case is a limit which cannot be reached, because the a and b values must stop short of the limits. The answer appears to be: 3/5 < a/b < 1 (0.6 < a/b < 1)
Two spherical balls have volumes in the ratio of 27:1. What is the ratio of their surface areas?
Their surface areas are arranged in a 3:1 ratio.
The ratio of two spherical balls' volumes is 27:1. This means that the radius of the larger ball is 3 times that of the smaller ball. The surface area of a sphere is proportional to the square of its radius, so the ratio of their surface areas is the square of 3, or 3:1. To calculate the surface area of a sphere, use the formula 4πr^2, where r is the radius of the sphere. For the larger ball, the surface area is 4π(3r)^2, and for the smaller ball, the surface area is 4π(r)^2. Dividing the larger ball's surface area by the smaller ball's surface area gives us the ratio of their surface areas, which is 3:1.
Learn more about ratio here
https://brainly.com/question/13419413
#SPJ4
The equation y = 0.4x can be used to predict the number of hours, y, it takes Zula to write x number of articles for a newspaper. Which of these is the best interpretation of the slope of this linear model?
A.Zula can write410of an article in1hour.
B.It takes Zula24minutes to write each article.
C.Zula can write4articles in10hours.
D.It takes Zula0.4minute to write each article.
Answer: C. Zula can write 4 articles in 10 hours is the best interpretation of the slope of this linear model.
The slope of a linear equation in the form y = mx + b represents the rate of change of y with respect to x. It tells us how much y changes for a one-unit change in x. In this case, the slope of the equation y = 0.4x is 0.
Step-by-step explanation:
What are the 2 types of scatter?
The two types of scatter plots are linear and nonlinear. Linear scatter plots show a linear relationship between two variables, while nonlinear scatter plots show a nonlinear relationship between two variables.
A linear scatter plot is a type of graph that displays the relationship between two variables. In a linear scatter plot, points are plotted on a graph according to their x- and y-coordinates. The points form a line, or a straight line, indicating a linear relationship between the two variables. A linear scatter plot is used when there is a clear and strong positive or negative relationship between the two variables.
Nonlinear scatter plots show a nonlinear relationship between two variables. In nonlinear scatter plots, points are plotted on a graph according to their x- and y-coordinates. The points form a curved or nonlinear line, indicating a nonlinear relationship between the two variables. Nonlinear scatter plots are used when there is an unclear or weak relationship between the two variables, or when the relationship between the two variables is nonlinear.
To know more about scatter plots refer to the link brainly.com/question/8478725
#SPJ4
12,9,17,15,10 after each data value increase by 20%
The new data values after the increment by 20% are 14.4, 10.8, 20.4, 18 and 12
How to determine the new data valuesFrom the question, we have the following parameters that can be used in our computation:
Data values: 12,9,17,15,10
Increment: by 20%
This means that
new data values = old data values * (1 + Increment)
when the above equation is applied to the individual data values, we have
New 12 = 12 * (1 + 20%) = 14.4
New 9 = 9 * (1 + 20%) = 10.8
New 17 = 17 * (1 + 20%) = 20.4
New 15 = 15 * (1 + 20%) = 18
New 10 = 10 * (1 + 20%) = 12
So, the new values are 14.4, 10.8, 20.4, 18 and 12
Read more about percentage at
https://brainly.com/question/843074
#SPJ1
Triangle EFG has vertices E(0, 7), F(−5, −1), and G(3, 0). Find the coordinates of the image of points E', F', and G' after a reflection across the x-axis.
Answer:
see explanation
Step-by-step explanation:
under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
E (0, 7 ) → E' (0, - 7 )
F (- 5, - 1 ) → F' (- 5, - (- 1) ) → F' (- 5, 1 )
G (3, 0 ) → G' (3, 0 ) ← unchanged as G is on the x- axis
is searching online for airline tickets. Two weeks ago, the cost to fly from to was $. Now the cost is $. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
the percent increase in charges is 33.3%
increase after baggage charges is 55.5%
GIVEN-
price of the ticket initially=$225
price of the ticket after 1 week=$300
baggage charge= $50
STEPS:
Percentage increase= {(difference)/initial }x 100
difference=final-initial
⇒(300-225)/225 x 100
⇒0.3333 x 100
=33.3%
∴33.3% of the increase in charges
with additional baggage price new ticket=$350
⇒percentage increase=(350-225)/225 x 100
⇒0.5555 x 100
⇒55.5%
∴55.5% of increase in prices after adding baggage charges.
To know more about percentage increase:
https://brainly.com/question/11360390
The complete question is:
Cari is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Denver was $225. Now the cost is $300. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
20 POINTS
The graph shows the number of students who earned a score in math. Find the domain. Responses
A 0 ≤ x ≤ 240 ≤ x ≤ 24 B 10 < x < 10010 < x < 100
C 10 ≤ x ≤ 10010 ≤ x ≤ 100
D {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}{10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
E {0, 5, 10, 15, 20, 25}{0, 5, 10, 15, 20, 25}
Answer:
The domain of a graph is the possible input values the graph can take.The domain of the graph is: 10,20,30,40,50,60,70,80,90,100
The score (on the x-axis) represents the input values.From the graph, we have:
Minimum score = 10
Maximum score = 100
This means that the domain of the graph is from 10 to 100
From the given options, (d) is correct;
Because it represents scores between 10 and 100 (inclusive)Read more about domains at:brainly.com/question/16875632
q5 50 POINTS ANSWER FOR BRAINLIST
The absolute value equation that can be used to determine Jack's minimum and is | x + 30| = 10 (third option)
What is the absolute value equation?An equation is a mathematical statement that is used to show the equality of two mathematical expressions. An absolute value equation is an equation that is within the absolute value symbols. The absolute value symbols are | |.
The form of the absolute value equation is:
maximum time he spends washing - average time = 10
x - 30 = 10
or
minimum time he spends washing - average time = 10
x - 30 = -10
Putting the two equations above together becomes
|x - 30| = 10
To learn more about mathematical equations, please check: https://brainly.com/question/26427570
#SPJ1
complete the remander of the table for the given function rule
y=-x-9
x -2, -1, 0, 1, 2
y -7,
The remainder of the table for the given function rule should be completed as follows;
x -2 -1 0 1 2
y -7 -8 -9 -10 -11
How to determine the range of this function?Based on the information provided, we have the following function rule:
Function, f(x) = y = -x - 9
When the domain x = -2, the range (y) of this function is given by;
Range, y = -x - 9
Range, y = -(-2) - 9
Range, y = 2 - 9
Range, y = -7.
When the domain x = -1, the range (y) of this function is given by;
Range, y = -x - 9
Range, y = -(-1) - 9
Range, y = 1 - 9
Range, y = -8.
When the domain x = 0, the range (y) of this function is given by;
Range, y = -x - 9
Range, y = -(0) - 9
Range, y = 0 - 9
Range, y = -9.
When the domain x = 1, the range (y) of this function is given by;
Range, y = -x - 9
Range, y = -(1) - 9
Range, y = -1 - 9
Range, y = -10.
When the domain x = 2, the range (y) of this function is given by;
Range, y = -x - 9
Range, y = -(2) - 9
Range, y = -2 - 9
Range, y = -11.
Read more on function here: https://brainly.com/question/26163742
#SPJ1
Please help I’ll give brainliest if it’s correct!!! What is the slope of the line that passes through the points (-5,4) and (3,2)
-1/4 is the slope of the line that passes through the points (-5,4) and (3,2)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (-5, 4) and (3, 2)
Slope m=2-4/3+5
=-2/8
2 and 8 are multiples of 2, so divide numerator and denominator by 2
=-1/4
Hence, -1/4 is the slope of the line that passes through the points (-5,4) and (3,2)
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ1
Use the rate to find how many As are needed for Bs, then write the ratio.
The number of As that are needed for 12Bs will be 6 and the ratio is 1:2.
How to illustrate the ratio?It should be noted that ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
It was Illustrated that the rate relating A to B is 1/2 and we want to use the rate to find how many As are needed for 12Bs.
From the information, the rate relating A to B is 1/2. The number of As that are needed for 12Bs will be:
= 1/2 × 12.
= 6
Therefore, there'll be 6 As that are needed.
The ratio is:
= 6 / 12.
= 1 / 2
= 1:2.
The ratio is 1 / 2.
Learn more about ratio on
brainly.com/question/2328454
#SPJ1
Complete question
The rate relating A to B is 1/2. Use the rate to find how many As are needed for 12Bs, then write the ratio.
A person who bought 40 peaches took 20% of the store's peaches. How many peaches did the store have left?
Answer:
They have 160 peaches left
Step-by-step explanation:
How to find the y intercept of this equation
Answer:
Set x equal to zero and then simplify
the money each gets. The present age of a father is 4 years more than four times the present age of his son and the difference between their ages is 28. Find their present ages.
Step-by-step explanation:
If son present age is x then
father present age=4x+4
so the equation is
(4x+4)-x=28
3x=24
x=8
The length of the base of an isosceles triangle is x. The length of a leg is 3x + 2. The perimeter of the triangle is 39. Is there enough information to solve for x? if so, find x.
The length of the base of an isosceles triangle is 7
as given in the question,
the length of base be x
the length of the leg is 3x+2
the perimeter of the isosceles triangle is 39
Therefore, an isosceles triangle which has two equal sides or legs as well as two equal angles. The Greek words iso means same and skelos are the source of the name leg. An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.
If the length of
In an isosceles triangle,
The length of the two legs or sides is the same. The other leg is therefore 3x+2 if one leg is the other is also 3x+2.
The triangle's three sides add up to its perimeter
that is
=> x + (3x+2) + (3x+2) = 39
=> 7x + 4 = 39
=> 7x = 35
=> x = 5
the value of x is 7
To learn more about isosceles triangle :
https://brainly.com/question/20307882
#SPJ4
The length of the base of an isosceles triangle is x = 7
Yes, there is enough information to solve for x. The perimeter of an isosceles triangle is the sum of all its sides. Since the perimeter is given and two sides are known, it can be expressed as follows:
x + (3x +2) + (3x +2) = 39
Solving for x,
5x + 4 = 39
5x = 35
x = 7
Therefore, the length of the base is 7. This can be verified by substituting the value of x into the equation for the perimeter, which would yield a result of 39.
Learn more about isosceles triangle here:
https://brainly.com/question/2456591
#SPJ4
ashoe dealer purchased shoe from ashoe campany that worth birr 8000 find the amount he should pay to the company including vat
Answer:
Step-by-step explanation:
A VAT (value-added tax) is a consumption tax that is added to the price of goods and services. The VAT rate is typically a percentage of the price of the goods or services.
In order to find the amount the shoe dealer should pay to the company including VAT, we need to know the VAT rate. If the VAT rate is not specified in the problem, it is impossible to determine the exact amount that the shoe dealer should pay.
However, if we assume that the VAT rate is 15%, then the amount of VAT the dealer should pay is 15/100 * 8000 = 1200 birr.
So the total amount the dealer should pay to the company including VAT is 8000 + 1200 = 9200 birr
It's important to note that this is an estimate and the actual amount could be different if the VAT rate is different.
