A square is any 2-dimensional shape that has all 4 sides equal and opposite sides parallel.
A square is typically identified when we see any shape which has 4 sides. These sides are equal to one another. The opposite sides are parallel. Another very important feature to be noted is that a square makes an angle of 90° with its adjacent sides.
If the angles are not 90°, then the shape is a rhombus and not a square.
A perfect example of a square is the game board of ludo. That is a perfect square. Another example is a handkerchief.
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To prove that the triangles are similar by the sss similarity theorem, which other sides or angles should be used? mn and sr mn and qr ∠s ≅ ∠n ∠s ≅ ∠o
To prove that the triangles are similar by the SSS similarity theorem, we use MN corresponds to QR, also ∠S ≅ ∠O
Two triangles are comparable if the measurements of their corresponding sides are proportionate. Additionally, if the measurements of two sides in one triangle are proportional to the measurements of the corresponding sides in another triangle and the included angles are congruent, the triangles are similar.
Similar figures
Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides is in the same proportion.
From the image, MN corresponds to QR, also ∠S ≅ ∠O
To prove that the triangles are similar by the SSS similarity theorem, we use MN corresponds to QR, also ∠S ≅ ∠O
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a ladder 25 feet long is leaning against a wall that is perpendicular to level ground. the bottom of the ladder is 7 feet from the base of the wall. if the top of the ladder slips down 4 feet, how many feet will the bottom of the ladder slip?
8 feets will the bottom of the ladder slip.
What is pythagora's theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.In ΔABC
AC² = AB² - BC² (∴Pythagoras theorem)
AC = √25² - 7²
AC = √625 - 49
AC = √576
AC = 24 feet
As after sliping length of ladder remains same ⇒ DE = 25 feet and feet 4 feet.
Let say x be the length of how much the ladder slips.
New height = DC = AC - AD = 20 feet
EC = (x + 7 ) feet
In ΔDEC,
DE² = DC² + EC² (∴Pythagoras theorem)
25² = 20² + (x + 7)²
(x + 7)² = 225
x + 7 = 15
(∵ x+7)>0, We can't take negative value)
x = 8 feet
Hence, 8 feets will the bottom of the ladder slip.
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What’s the multiplicity for number 5
The zeros of the function, along with their multiplicities and effects, are given as follows:
Zero of -4, multiplicity 2, turning effect.Zero of -5/2, multiplicity of 5, crossing effect.Zero of 1, multiplicity of 1, turning effect.What are the zeros of the function, along with their multiplicities and effects?The zeros of the function are given by the zeros of the linear factors.
The linear factors are given as follows:
2x + 5.x + 4.x - 1.Then the zeros are given as follows:
x = -5/2, as 2x + 5 = 0 -> x = -5/2.x = -4, as x + 4 = 0 -> x = -4.x = 1, as x - 1 = 0 -> x = 1.Then the multiplicities are given by the exponents, and the effects are defined according to the multiplicities, as follows:
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a toy store manager wants to display 7 identical stuffed dogs, 4 identical stuffed cats, and 3 identical stuffed teddy bears on a shelf. how many different arrangements can be made?
120120 Different number of arrangements can be made.
7 identical stuffed dogs
4 identical stuffed cats
3 identical stuffed teddy bears
Total number of objects a toy store managers want
to display = 14.
We know formula to arrange n objects in which p are identical:
There are n!/p! ways to arrange n objects in a row, and p of those ways are exactly the same.
Similarly for this problem we can say:
Different number of arrangements possible.
Here in this question value of n =14 total number of objects.
Total number of arrangements possible for 14 objects is 14! but some objects are duplicate that may be counted more than ones so we have to divide them.
number of arrangements = 14!/ (7!*4!*3!).
by solving this we get
number of arrangements = 120120.
So we can say 120120 Different number of arrangements can be made.
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Hello Brainly can you help? IMAGE INCLUDED
By Polynomial Addition, 1st,2nd equations goes to 3rd box; 3rd,4th equations goes to 2nd box; 5th,6th equations goes to 1st box.
What is polynomial addition?
Steps to solve polynomial addition:
1) Take the equation.
2) Arrange the polynomial such that common terms are placed at one place.
3) Group the like terms, Like terms are terms which has equal degree and equal variables.
4) Simplify by combining like terms.
5) Solve the equation
Solving:1st equation:
[tex]x - 3 + 2x + 3 + 2x\\= 5x + 0\\= 5x[/tex]
goes to 3rd box
2nd equation:
[tex]6x - 9 - 5x +4 - x+5x+5\\= 5x +0\\=5x[/tex]
goes to 3rd box
3rd equation:
[tex]3x+5-2x-5x+9+8x\\= 4x + 5+9\\=4x + 14[/tex]
goes to 2nd box
4th equation:
[tex]4x+x-11-5x+25+4x\\=4x + 14\\[/tex]
goes to 2nd box
5th equation:
[tex]x+8+4x-3x-4\\=2x+4[/tex]
goes to 1st box
6th equation:
[tex]5+9x-7-4x-3x+6\\=2x+4\\[/tex]
goes to 1st box
By Polynomial Addition, 1st,2nd equations goes to 3rd box; 3rd,4th equations goes to 2nd box; 5th,6th equations goes to 1st box.
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Solving for proportion
Answer:
c = 4.8y = 4k = -9.25d = 6Step-by-step explanation:
To find the missing numbers, we must simplify the second half of the original proportion/fraction. Let's use number 2 as an example. First, we need to find out which number we are using to simplify. To do this, we divide 21 by 7. This gives us 3. Now, we divide 12 by 3 to get y, or 4. This strategy can be applied to all the problems.
Complete the following statement
Answer: B they are parallel
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Lines that are both perpendicular to a given line are parallel.
what is the solution to the equation below? 5c+4=2
(c-5)
explain how you got your answer
Answer: c = -14 over 3 (c = -14/3)
Step-by-step explanation:
1. Distribute: 5c + 4 = 2(c - 5) --> 5c + 4 = 2c - 10
2. Subtract 4 From Both Sides: 5c + 4 = 2c - 10 --> 5c + 4 - 4 = 2c - 10 - 4
3. Simplify: 5c = 2c - 14
4. Subtract 2c From both sides: 5c = 2c - 14 --> 5c - 2c = 2c - 14 - 2c
5. Simplify: 3c = 14
6. Divide Both Sides By The Same Factor: 3c divided by 3 = -14 divided by 3
7. Simplify: c = -14 over 3
Why is an infinitive called an infinitive?
The word "to" comes before infinitives. Because they are unconstrained by time, like the idea of infinity, these verbs are known as infinitives.
In the given question, we have to explain why an infinitive called an infinitive.
The verb form known as an infinitive can be employed as a noun, adjective, or adverb. When describing acts without actually performing them, they are typically created by adding the term to before the base verb.
The word "to" comes before infinitives. Because they are unconstrained by time, like the idea of infinity, these verbs are known as infinitives. The conjugated forms of the verb, sometimes referred to as the finite forms of the verb, are derived from the infinitive.
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How would you write the equation with a slope of 1 and a y-intercept is 7?
The equation of the line with slope [tex]1[/tex] and y-intercept is [tex]7[/tex] i.e. [tex]y=x+7[/tex]
The slope-intercept form is
[tex]y=mx+c[/tex]
Here, m is the slope and c is the y-intercept
y=x+7
The equation of the line is [tex]y=x+7\\[/tex]
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a random square has a side length that is a uniform [0, 1] random variable. find the expected area of the square.
The expected area of a random square which has a side length that is uniform random variable is 1/3.
What is Continuous uniform distribution?A family of symmetric probability distributions includes the continuous uniform distribution and rectangular distribution. The distribution describes an experiment with a random result that falls within predetermined bounds.
The parameters, a and b, which represent the minimum and maximum values, define the bounds. The interval may be closed (for example, [a, b]) or open (for example, (a, b)). common abbreviation for the distribution is U (a, b), where U stands for uniform distribution.
The length of the interval is defined by the difference between the bounds; intervals with the same length on the distribution's support are equally likely.
Let, side of the square = X
we know that the area of a square = side × side
= X × X
= X^{2}
now, by using Continuous uniform distribution,
E[ X^{2} ] = [tex]\int\limits^1_0 X^{2} \, dx[/tex]
= [tex][\frac{1^{3} }{3} - \frac{0^{3} }{3} ][/tex]
= [tex]\frac{1}{3}[/tex]
Hence , the expected area of the square is [tex]\frac{1}{3}[/tex].
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Which system of linear inequalities is graphed below?
The system of inequalities that are graphed are:
y < (1/2)x + 4
y > 2x - 1
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Two coordinates from the graph of the green line.
(0, 4) and (2, 5)
The equation of the line.
y = mx + c
m = (5 - 4) / (2 - 0) = 1/2
m= 1/2
(0, 4) = (x, y)
4 = (1/2) x 0 + c
c = 4
y = (1/2)x + 4
Two coordinates from the graph of the Blue line.
(1, 1) and (2, 3).
The equation of the line.
y = mx + c
m = (3 - 1)/(2 - 1) = 2/1 = 2
m = 2
(1, 1) = (x, y)
1 = 2 + c
c = 1 - 2
c = -1
y = 2x - 1
Now,
The system of linear inequalities that are graphed on the given graph are:
y < (1/2)x + 4
y > 2x - 1
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a group of students carried out a density experiment for an nacl solution and found the following: mean (xm) = 1.060 g/ml, standard deviation (sx) = 0.00773 g/ml, number of measurements = 6.
the literature value for the density based on the known concentration of nacl is 1.071 g/ml.
is there a significant difference for these two values at the 95% confidence level?
No, there is not a significant difference between these two values at the 95% confidence level.
The difference between the mean and literature values is 0.011 g/ml, which is less than the standard error of the mean (0.00387 g/ml). Therefore, the difference is not statistically significant. To reach a 95% confidence level, the difference must be greater than two standard errors of the mean. This would mean that the difference must be greater than 0.00773 g/ml, which it is not. Therefore, there is no significant difference between these two values at the 95% confidence level.
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A 16-foot ladder is leaning against a wall and the bottom of the ladder is 7 feet from
the bottom of the wall. How high up the wall is the ladder touching?
round to the nearest tenth
Answer: I pretty sure its 9 feet
Step-by-step explanation:
Sorry if Im wrong
The radius of the base of a cone is decreasing at a rate of 222 centimeters per minute. The height of the cone is fixed at 999 centimeters. At a certain instant, the radius is 131313 centimeters. What is the rate of change of the volume of the cone at that instant (in cubic centimeters per minute)?.
If the radius of the base of a cone is decreasing at rate of 2 cm/minute and the height is kept constant at 9 cm, the rate of change of the volume at radius 13 cm is 489.4 cm³/minute
To calculate the rate of change, we need to take the derivative of the variables with respect to time.
The volume of a cone is given by:
V = 1/3 . πr²h
Where:
r = radius of the base
h = height
Since the height of the cone is held constant, then the derivative with respect to time is:
dV/dt = 1/3 h. 2πr dr/dt
Parameters given:
dr/dt = 2 cm/minute
h = 9 cm
r = 13 cm
Hence,
dV/dt = 1/3 x 9 x 2π x 13 x 2
dV/dt = 489.4 cm³/minute
Hence, at radius 13 cm, the rate of change of the volume is 489.4 cm³/minute
It looks like there was typos in your question, most probably your question was:
The radius of the base of a cone is decreasing at a rate of 2 centimeters per minute. The height of the cone is fixed at 9 centimeters. At a certain instant, the radius is 13 centimeters. What is the rate of change of the volume of the cone at that instant (in cubic centimeters per minute)?
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How does the closure property relate to the addition of polynomials?
For the Polynomials to be closed under closure property for the operation of addition if the addition operation produces another polynomial.
Closure property states that when a set of numbers is closed beneath any arithmetic operation such as subtraction, addition, division, and multiplication and is performed on any two numbers of the set with the reply being another number from the set itself. When including polynomials, the factors and their exponents don't alter. As it were their coefficients will possibly alter. This ensures that the sum has factors and exponents which are as of now classified as having a place in polynomials. Polynomials are closed beneath the addition.
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100 POINTS HELP An import is a good or service brought into a country from another country. A law firm in Argentina consults for a business in Brazil. Which country is importing?
A. Brazil
B. both
C. Argentina
Answer: The answer is A: Brazil
explanation: Brazil already gets imports from Argentina IRL
g provide an example of a positive externality and explain: 1) why it should be considered a positive externality and 2) what could be done in order to internalize the externality.
What is externality?
A cost or benefit connected to the creation or consumption of a good or service is known as an externality. Externalities have an impact on parties that are not involved in a product's production or consumption.
1) Positive externality says:
An advantage of creating or using a product is known as a positive externality. For instance, because people learn and develop skills for careers and their lives, education is a beneficial externality of school.
The example follows all the rules of positive externality, so for that it is an positive externality.
2) Through market mechanisms, governmental regulation, self-governing organizations, or a combination of these institutions, externalities can be internalized. We advise taking the institutional approach since it will cost the company the least overall (the sum of technology, management, and transaction costs).
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Linsey bought 3 bags of jolly
ranchers that weighed 18 ounces
each. Bonnie bought 2 bags of jolly
ranchers that weighed 2 pounds
each. Who bought more jolly
ranchers and why?
Bonnie bought more jolly because the weight of her 2 bags is more than that of Linsey.
What is a pound weight?The pound or pound-mass is a unit of mass used in British imperial and United States customary systems of measurement.
If each Linsey's bag of jolly weighs 18 ounces then 3 bags would weigh 18 x 3 = 54 ounces
If each Bonnie's bag of jolly weighs 2 pounds then the 2 bags would weigh 2 x 2 = 4 pounds.
converting 4 pounds to ounces at the rate of 16 ounces per pound we have 16 x 4 = 64 ounces
So Bonnie bought more jolly than Linsey as the weight of the bags of Bonnie is heavier than that of Linsey.
In conclusion Bonnie bought more than Linsey as the weight of bags of Bonnie outweighs Linsey's
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The profit, P(x), that Rivka's Delivery Service makes from delivering packages between local businesses is P(x), where x is the number of $0.10 price increases for each delivery. Use the graph below to answer the question.
Graph with x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 50), increases to (2.5, 81.25), and then decreases through (6.531, 0).
What is the approximate number of price increases needed to maximize profit?
0
2.5
50
81
The approximate number of price increases needed to maximize profit is 2.5
How to determine the number of price?From the question, we have the following parameters that can be used in our computation:
x = number of price increases
y = Profit
Also from the question, we have
Begins at (0, 50)
Increases to (2.5, 81.25)
Decrease through (6.531, 0)
This means that
Maximum = (2.5, 81.25)
Recall that
x = number of price increases
So, we have
x = 2.5
Hence, the number of price increases is 2.5
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A certain tar i 3. 6 x 10^2 light year from the earth. One light year i about 5. 9 x 10^12 mile how far from the earth in mile i the tar
Answer:
Could you please explain your question with proper English?
Step-by-step explanation:
Thank you.
Lines a, b, and c lie in the same plane. If lines a and b are perpendicular (a⊥b) and lines b and c are perpendicular, (b⊥c), what can you conclude about lines a and c? Justify your answer include a drawing to support your answer.
The relationship between lines a and c, where both line a and c are perpendicular to line b is that line a and c are parallel, a ║ c
Please find attached an example drawing of the lines a and c created with MS Excel.
What are parallel lines?Parallel lines are coplanar lines that have a fixed distance between them and do not meet.
The specified information are;
the lines that are on the same plane = a, b, and c
The relationship between line a and b = a is perpendicular to b (a ⊥ b)
The relationship between line b and c = b is perpendicular to c (b ⊥ c)
The slope of a line perpendicular to another line with slope, m, is the negative inverse of m or -1/m
(The slope of parallel lines are the same)
Let the slope of line a = m, therefore;
The slope of the line b which is perpendicular to a is -1/m
Therefore, the relationship between the lines b and c which are perpendicular (b ⊥ c) is as follows;
The slope of the line b = -1/m, therefore;
The slope of the line c, perpendicular to b is the negative inverse of the slope of b
The slope of the line c = -1/(-1/m)) = 1/(1/m) = m
The slope of the line c = m
Therefore, the slope of the line c (m) is the same as the slope of the line a (m), which indicates that the lines a and c are parallel.
a ║ c.
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What number combinations can I make with 123456?
Two ways in which the combination can be represented = 720 , 46656
What is Combination ?A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
According to the given information
Whether you can repeat numbers or not will determine which of two possibilities
First Way
If you cannot repeat the digits
Then
You might perform 6 ! or 6x5x4x3x2x1 = 720
This is so that the initial digit, which can have up to six numbers, can never be repeated. As a result, one digit cannot be repeated, therefore
6 - 1 = 5. The third digit is the same, but since you've already used two of the six digits, you can only have 4.
The alternative
If you're able to repeat :
either [tex]6^{6}[/tex] or 6x6x6x6x6
= 46,656
This is due to the fact that each digit has six possible values.
Two ways in which the combination can be represented = 720 , 46656
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a group of scientists discovered a small creature at the bottom of the ocean that they called a "piknit". when this interesting creature dies, it explodes itself into a number of baby piknits called gogles. the scientists randomly selected 20 piknits from the sea-floor and measured their respective weights in grams. after the piknits died they counted the number of gogles that each piknit produced. they wanted to know if the weight of the piknits can be used to predict the number of gogles.
As per the given correlation, the appropriate null and alternative hypothesis for calculating number of goggles is
H0 : No linear relation
H1 : there is a relation
What is meant by correlation?
In math, correlation is referred as a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate).
And it is a common tool for describing simple relationships without making a statement about cause and effect.
Based on the given question, a group of scientist randomly selected 20 piknits from the sea-floor and measured their respective weights in grams.
And we also know that, they wanted to know if the weight of the piknits can be used to predict the number of gogles.
Here from the given information, the null hypothesis : H0 : There is no linear relationship between the weight of piknits and the number of goggles
And the Alternative hypothesis : Ha: There is a linear relationship between the weight of piknits and the number of gogles
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in a chi-square test, the larger the difference between expected and observed frequencies, the more likely you are to
Option-D is correct that is the larger the difference, the larger the value of chi-square, and the greater the probability of rejecting the null hypothesis.
Given that,
We have to find how will the results of a chi-square test be affected if there is a significant discrepancy between the expected and observed frequencies.
We know that,
If the observed values and expected values have a large difference then the chi-square value will be in large quantity that provides evidence against the null hypothesis and explain the huge difference between the sample data and null hypothesis.
The Chi-square statistic is,
X²=Σ i,j=0 to n (O i, j-E i,j)²/E i,j
Where,
O is the observed frequency value.
E is the Expected frequency value.
Therefore, Option-D is correct that is the larger the difference, the larger the value of chi-square, and the greater the probability of rejecting the null hypothesis.
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Amy used her first 2 tokens at Glimmer Arcade to play a game of Roll-and-Score. Then she played her favorite game, Balloon Bouncer, over and over until she ran out of tokens. Balloon Bouncer costs 3 tokens per game, and Amy started with a bucket of 35 game tokens.
Which equation can Amy use to find how many games of Balloon Bouncer, g, she played?
The equation that Amy can use to find how many games of Balloon Bouncer, g, she played is; g = (35 - 2a)/3
How to solve Algebraic equations?
We are told that Amy used her first 2 tokens at Glimmer Arcade to play a game of Roll-and-Score.
Balloon Bouncer costs 3 tokens per game, and Amy started with a bucket of 35 game tokens.
Thus, the expression for the number of balloon bouncer games played at the arcade is :
2a + 3g = 35
Let :
Glimmer arcade, a = $2 per game
Balloon bouncer, g = $3 per game
Total game tokens = 35
Her spending could be represented using the expression :
2a + 3g = 35
g = number of balloon bouncer games played
Thus, making g the subject of the formula we have;
g = (35 - 2a)/3
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Answer:
3g + 2 = 35 is the answer.
She played 11 games.
Step-by-step explanation:
Which graph shows a function whose inverse is also a function?
If g(x) is the inverse of f(x), what is the value of f(g(2))?
It is discovered that the (1) graph represents a function whose inverse is also a function using the concept of an inverse function.
What is a graph?The set of ordered pairs is the graph of a function f in mathematics, where these pairs are Cartesian coordinates of points in two-dimensional space and so form a subset of this plane in the typical situation when x and f(x) are real integers.
To develop a graph is to make a diagram that depicts the relationship between two or more objects.
Make a sequence of bars on graph paper as an example of a graph.
Since there is only one value of x in the first graph for any value of y, the inverse is also a function, making this the right answer.
The inverse is not a function in the second graph since, for instance, y = 0 when x = -1 and when x = 1.
For instance, in the third graph, the inverse is not a function because y = -3 when x = 0 and x = 2.
For instance, in the fourth graph, y = 1 for two different values of x, proving that the inverse is not a function.
Therefore, it is discovered that the (1) graph represents a function whose inverse is also a function using the concept of an inverse function.
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Correct question:
Which graph shows a function whose inverse is also a function?
Which table shows a function that is decreasing only over the interval (–1, ∞)? Group of answer choices A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 4, negative 3, negative 1, 2, 1, negative 6. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2.
The table that shows a function that is decreasing only over the interval (–1, ∞) is circled on the image given at the end of the answer.
How to determine the behavior of the function?The behavior of a function is classified as either increasing, decreasing or constant, as follows:
Increasing: as x increases the function increases, that is, the second column of the table shows in the bottom row greater values than in the row we are taking as parameter.Decreasing: as x increases the function decreases, that is, the second column of the table shows in the bottom row lesser values than in the row we are taking as parameter.Constant: as x increases the function remains constant, that is, the second column of the table shows in the bottom row equal values than in the row we are taking as parameter.In this problem, we want a function that is decreasing only over the interval (–1, ∞), hence:
It is not decreasing for x < -1.It is decreasing for all values of x such that x > -1.More can be learned about decreasing functions at https://brainly.com/question/1503051
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Is it wrong to split an infinitive?
A word is put between to and the verb while splitting an infinitive. In terms of grammar, splitting an infinitive is acceptable.
In other cases, it might even be more logical to do so. An infinitive is a verb's to form, such as "to go" or "to be."
When it is said that infinitives should never be split, it means an adverb should never come before the verb in the sentence "to confidently proceed."
As we know split infinitive is one in which the word "to" and the verb in the base (infinitive) form of the verb are separated by one or more words.
Adverbs are the words that split infinitives the most frequently.
Example,
Jacob went to band practice and came home with a sunburn.Lucas makes it a habit to only watch the stunts the skateboarders did.To learn more about infinitives
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What is the slope of a line of (- 1/5 )( 2 5?
Answer:
0
Step-by-step explanation:
The formula to find slope is:
plug in both set of parenthesis into the equation
m = 5-5 / -1 - 2
Solve numerator (top) and denominator (bottom)
m = 0 / -3
Solve, 0 divided by -3
=0