Answer: D.
Step-by-step explanation:
If the triangle PQR has sides from biggest to smallest 3,4,5 we need another triangle with a similar ratio to compare it to.
9/3= 3 12/3=4 15/3=5
So the answer is D because I can divide all the sides of the new triangle by the same number to get the sides of triangle PQR
Answer:
D. 9 cm, 12 cm, 15 cmStep-by-step explanation:
Given
ΔLMN ~ ΔPQRΔPQR has sides ratio 3 : 4 : 5
ΔLMN should also have same ratio and the ratio of corresponding sides should be same.
Let's verify the options:
A. 2 : 3: 4
2/3 = 3/4 = 4/5 - this is incorrectB. 6 : 7 : 8
6/3 = 7/4 = 8/5 - this is incorrectC. 8 : 15 : 17
8/3 = 15/4 = 17/5 - this is incorrectD. 9 : 12 : 15
9/3 = 12/4 = 15/5 = 3 - this is correctPlease help! This is due in 40 minutes!
Answer:
A=1/2
Step-by-step explanation:
the point A is half way to the point of 2 therefore A is 1/2
What do 32x4x3x2÷5 equal 20 points and brainliest if right.
Answer:
153.6
Step-by-step explanation:
Answer:
153.6
Step-by-step explanation:
32x4=128
128x3=384
384x2=768
768/5=153.6
The amount of water in a barrel deceased 9 5/8 pints in 7 weeks. The water deceased the same each week. What was the change I. The amount of water in 12 weeks
The change in the amount of water in 12 weeks is \(16\frac{1}{2}\) pints.
Let's first find the amount of water that decreases in one week:
\(9\frac{5}{8}\) pints / 7 weeks = \(1\frac{3}{8}\) pints per week
So the amount of water decreases by \(1\frac{3}{8}\) pints per week.
To find the change in the amount of water in 12 weeks
we can simply multiply the amount of decrease per week by the number of weeks:
\(1\frac{3}{8}\) pints per week x 12 weeks
= \(16\frac{1}{2}\) pints
Therefore, the change in the amount of water in 12 weeks is \(16\frac{1}{2}\) pints.
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I need a bit of help with this, as well as how to solve these situations, thanks in advance.
Answer:
x = 32°
Step-by-step explanation:
The definition of tangent means that the angle formed by the line and the circle is a 90° angle. We can also see that the two segments connected to the center have equal angles because they are both radii of the circle. They form a triangle and the angle measurements are 61°, 61° and 58°. We have two angle measurements of the overall triangle, 58°, 90° (from the tangent), and x°.
The sum of the angles of any triangle is 180°. Therefore, we can form an equation to calculate the value of x.
58 + 90 + x = 180
x = 180 - 90 - 58
x = 32°
Answer:
x = 32°
Step-by-step explanation:
To find:-
The value of "x" .Answer:-
As we know that angle made by tangent on the centre is a right angle . So here \(\angle\)OBC will be 90° ( as CB is tangent on the circle.) Again we know that the angles opposite to equal sides are equal . Therefore here OB and OA are radii of the circle which are equal. So we can say that;
\(\sf:\implies \red{ \angle OBA = \angle OAB = 61^o}\\\)
Again we know that the angle sum property of a triangle is 180° . Therefore in ∆OBA ,
\(\sf:\implies 61^o + 61^o + \angle AOB = 180^o \\\)
\(\sf:\implies 122^o + \angle AOB = 180^o \\\)
\(\sf:\implies \angle AOB = 180^o - 122^o \\\)
\(\sf:\implies \angle AOB = 58^o\\\)
Finally look into the ∆OBC ,
\(\sf:\implies \angle BOC + \angle OCB + \angle CBO = 180^o\\\)
\(\sf:\implies 58^o + 90^o + x = 180^o \\\)
\(\sf:\implies 148^o + x = 180^o \\\)
\(\sf:\implies x = 180^o - 148^o \\\)
\(\sf:\implies \red{ x = 32^o }\\\)
Hence the value of x is 32°.
which of the following verified that ABC is similar to DEF
Answer:
D
Step-by-step explanation:
The two triangles are similar by the property side angle side.
If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Here in the triangles, the angle is equal and the sides are dilated by factor two from 18 to 9. It means that the sides are similar to each other and the angle is the same.
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How do you tell if the table is linear or non linear?
To check the if a table represents a linear or non linear function we have to find the rate of change between the first two ordered pairs can be compared to the rate of change between the first and last ordered pairs to see if they are the same then they are linear else they are non linear.
Well, a straight line is proportional to a linear function (on a graph). And the answers to the numbers can't be the same. If the X input is 5, for instance, and the Y output is 7, then Another non-linear X input of 5 and Y output of 8 follows.
What is linear function?The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
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Which expression can be used to check the answer to 56 divided by (negative 14) = n?
Negative 14 times n
n divided by (negative 14)
56 times (negative 14)
n divided by 56
Answer:
-14 x -4
Step-by-step explanation:
i did the quiz lol
Answer:
A
Step-by-step explanation:
took the quiz, hope this helps.
____ : referring to the fact that the distance between two or more points is equal.
The term that refers to the fact that the distance between two or more points is equal is "equidistant".
In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.
Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.
The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.
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Due at 11:59 P.M. PLEASE HELP
A contractor bought 7.6 ft2 of sheet metal. He has used 2.3 ft2 so far and has $95.40 worth of sheet metal remaining. The equation 7.6x−2.3x=95.4 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Sheet metal costs $? per square foot
Answer:
7
Step-by-step explanation:
under what circumstances is a discretized b state matrix equivalent to a continuous time b state matrix
A continuous time system can behave roughly throughout a variety of periods using a discretized state matrix. A continuous time condition matrix should be used in its place if these requirements are not satisfied since a discretized state matrix might not adequately depict the performance of a continuous time system.
A continuous time condition matrix is a matrix that is used to indicate the state of a system at any moment, as opposed to a discretized state matrix, which is used to describe the status of a system at discrete time intervals. Under the following conditions, a discrete-time state matrix is identical to a time series state matrix:
The system may be regarded as being in stable equilibrium at each time point since the time gaps between every discretization are short enough. This indicates that the behavior of the system does not drastically vary from one-time point to the next.
Over the time frames between each discretization, a linear model accurately predicts the behavior of the system. This means that the behavior of the system can be precisely predicted by a linear equation of the type "Ax = Bu," where A as well as B are matrices and x as well as u are vectors that, respectively, represent the system's state and input.
Over the intervals between each discretization, the system's input remains constant. This indicates that the system's input does not drastically vary from one-time point to the next.
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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).
A survey was done that asked people to indicate whether they preferred to ride a
street bike or a mountain bike. The results of the survey are shown in the two-way
table.
Amjed is making a relative frequency table from this data.
What operation should Amjed perform to determine the relative frequency of a
person over 30 years old who prefers to ride a mountain bike? 1) Subtract 25 from 462, then divide by 462. 2) Divide 25 by 462. 3) Add 180 to 462, then divide by 463. 4) Divide 180 by 462
The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:
2) Divide 25 by 462.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of people is given as follows:
58 + 164 + 215 + 25 = 462.
Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:
25/462.
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caitlin won a bag full of money. she has 49 bills in all. she counts $1,430. there are twenty dollar bills and fifty dollar bills in the bag. how many of each bill does caitlin have?
Answer:
30 I think but I'm not positive
Step-by-step explanation:
Multiply 2x(x2 5). 2x3 10x2 2x3 10x 2x2 10x 2x3 5x.
The simplified result of the multiplication is\(6x^3 - 8x^2 + 5x.\)
To multiply the expressions\(2x(x^2 + 5)\)and\(2x^3 - 10x^2 + 2x^2 - 10x + 2x^2 + 10x + 2x^3 - 5x,\) we can simplify and combine like terms:
First, let's multiply 2x by each term in the expression:
\(2x(x^2 + 5):\\2x * x^2 = 2x^3\\2x * 5 = 10x\)
So, the first part of the result is: 2x^3 + 10x.
Next, let's combine like terms in the expression:\(2x^3 - 10x^2 + 2x^2 - 10x + 2x^2 + 10x + 2x^3 - 5x:\\(2x^3 + 2x^3) + (-10x^2 + 2x^2) + (-10x + 10x) + (-5x) = 4x^3 - 8x^2 - 5x.\)
Finally, we can add the two parts together to get the final result:
\(2x(x^2 + 5) * (2x^3 - 10x^2 + 2x^2 - 10x + 2x^2 + 10x + 2x^3 - 5x) = (2x^3 + 10x) + (4x^3 - 8x^2 - 5x) = 6x^3 - 8x^2 + 5x.\)
Therefore, the simplified result of the multiplication is\(6x^3 - 8x^2 + 5x.\)
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what is the probability that the sum of two randomly chosen integers between 20 and 40 inclusive is even (if the possibility of the two integers being equal is allowed)?
We have that, the probability is given by 221/441.
How do we calculate the probability?The probability of the sum of two randomly chosen integers between 20 and 40 inclusive being even can be calculated using the formula: P(Even) = P(Even + Even) + P(Odd + Odd) = (P(Even))^2 + (P(Odd))^2
First, we need to determine the probability of choosing an even integer and the probability of choosing an odd integer. There are a total of 21 integers between 20 and 40 inclusive (40 - 20 + 1 = 21), and 11 of them are even (20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40) while 10 of them are odd (21, 23, 25, 27, 29, 31, 33, 35, 37, 39).
Therefore, P(Even) = 11/21 and P(Odd) = 10/21.
Plugging these values into the formula, we get:
P(Even) = (11/21)^2 + (10/21)^2 = 121/441 + 100/441 = 221/441
So the probability that the sum of two randomly chosen integers between 20 and 40 inclusive is even is 221/441.
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1. Show (using graphing or substitution) or explain why she is correct.
9514 1404 393
Answer:
graph attached
Step-by-step explanation:
The attachment is a graph that shows Beyonce is correct.
__
By solving the system the two ways that she has, Beyonce has already shown her solution is correct by substitution. After finding the value of one variable, she substituted that into the system of equations to find the other variable. She did this for each of the variables.
in a window display at a flower shop, there are 33 spots for 11 plant each. to fill these 33 spots, emily has 66 plants to select from, each of a different type. selecting from the 66 plants, emily can make how many possible display arrangements with 11 plant in each spot
According to the given statement , Emily can make 227,468,710 possible display arrangements with 11 plants in each spot.
To find the number of possible display arrangements, we need to calculate the number of ways to choose 11 plants from a total of 66 plants. This can be calculated using the combination formula.
The formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items being chosen at a time. Plugging in the values, we get 66C11 = 66! / (11!(66-11)!) = 227,468,710. Thus, Emily can make 227,468,710 possible display arrangements with 11 plants in each spot.
1. We are given that there are 33 spots in the window display, and each spot can hold 11 plants.
2. Emily has a total of 66 plants to choose from, all of different types.
3. To find the number of possible display arrangements, we need to calculate the number of ways to choose 11 plants from the total of 66 plants.
4. Using the combination formula, nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items being chosen at a time.
5. Plugging in the values, we get 66C11 = 66! / (11!(66-11)!) = 227,468,710.
6. Therefore, Emily can make 227,468,710 possible display arrangements with 11 plants in each spot.
Emily can make 227,468,710 possible display arrangements with 11 plants in each spot.
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HURRY I ONLY HAVE 5 MINS
What two ratios can be written for the following illustration comparing
oranges to bunches of bananas?
Answer:
12/4 and 3/1
Step-by-step explanation:
Because there are 12 oranges to 4 bananas. So if you simplify that you get 3 oranges to 1 banana
How is solving a compound inequality in compact form similar to solving a simple inequality? How is it different?
The similarity between solving a compound inequality in a compact form and solving a simple inequality is that the same basic ways of resolving an algebra are followed in both cases. The difference is that any manipulation on one side of the equation must be repeated on all three sides of the compound inequality.
What are the similarities and differences?The similarity between solving a compound inequality and a simple one is that they both follow the same basic principles of solving an algebra.
However, there is a slight difference because any change that is applied in one part of the expression must be spread to other parts of the expression. If we are dividing or multiplying in compound inequalities, the same must apply to all sides.
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Can y’all help me please
Answer:
Step-by-step explanation:
ezzzz
Help please. I have most of the problem done.
Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in dollars) in the past five weeks are {204, 344, 450, 482, 504}. To find the corresponding square footage of lawn mowed, construct a function that models the total area of lawn that Derek mows based on his earnings.
Based on Derek's earnings, the corresponding square footage of the lawns he mowed in the past five weeks is
.
Answer:
Step-by-step explanation:
To find the corresponding square footage of the lawns that Derek mowed based on his earnings, we can use the information given and construct a function.
Let's assume the square footage of lawn mowed is represented by 'x' (in thousands), and the earnings are represented by 'y' (in dollars). We are given the earnings and the corresponding weeks as follows:
Week 1: Earnings = $204
Week 2: Earnings = $344
Week 3: Earnings = $450
Week 4: Earnings = $482
Week 5: Earnings = $504
We can construct a linear equation in the form y = mx + b, where 'm' represents the rate per square footage (in this case $1 per 1,000 square feet), and 'b' represents the fixed fee ($30).
Using the given information, we can set up the following equations:
Week 1: 204 = 1x + 30
Week 2: 344 = 2x + 30
Week 3: 450 = 3x + 30
Week 4: 482 = 4x + 30
Week 5: 504 = 5x + 30
Simplifying these equations, we can find the corresponding square footage 'x' for each week:
Week 1: x = 174
Week 2: x = 157
Week 3: x = 140
Week 4: x = 113
Week 5: x = 94
Therefore, based on Derek's earnings, the corresponding square footage of the lawns he mowed in the past five weeks is 174 thousand square feet, 157 thousand square feet, 140 thousand square feet, 113 thousand square feet, and 94 thousand square feet respectively.
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How do you think we could use estimating irrational numbers?
Answer:
An irrational number is a number that cannot be written as a fraction. It is a non-repeating, non-terminating decimal. Approximate square root of numbers that are not perfect squares and put them on the number line.
Can someone explain how to graph quadratic functions
Always double-check your graph by entering various x values and ensuring that the associated y values fall along the curve you drew.
what is graph ?A graph is a picture of data that illustrates the connection between two or more factors. A graph in mathematics is typically a two-dimensional coordinate system with a horizontal x-axis and vertical y-axis (vertical). Data points are represented on a graph by points that are drawn with their x- and y-coordinates. The graph can be used to display trends, correlations, and temporal shifts as well as other patterns and connections between the variables. Graphs are used to aid in the interpretation and communication of data in a wide range of disciplines, including mathematics, science, economics, and social studies.
given
Locate the vertex: The vertex of a quadratic function is the lowest or highest spot on the graph. For the x-coordinate of the vertex, use the expression x = -b / (2a), and for the y-coordinate, use y = f(x), where f(x) is the quadratic function.
The places where the graph crosses the x-axis and the y-axis are known as the intercepts. If x = 0, then calculate f to determine the y-intercept (0).
Additional information: Plug a few x values into the function to determine the associated y values. You'll have more data points to display on the graph as a result.
Always double-check your graph by entering various x values and ensuring that the associated y values fall along the curve you drew.
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Determine whether each vector can be written as a linear combination of vectors S 1) 8= {(2₁-1₁3), (5,0,4)} a) 2- (-1₁-2.2); c) w = (1₁-8, 12) b) v = (8,-14, 27/4) d) (1,1,-1)
We are given a set of vectors S and we need to determine whether each given vector can be written as a linear combination of the vectors in S.
(a) For vector (2, -1, -2), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (2, -1, -2). By solving the system of equations, we find that k₁ = -1 and k₂ = 0, so the vector can be written as a linear combination of the vectors in S.
(b) For vector (8, -14, 27/4), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (8, -14, 27/4). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.
(c) For vector (1, -8, 12), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, -8, 12). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.
(d) For vector (1, 1, -1), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, 1, -1). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.
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Triangle JKL is similar to triangle STU. What is the length of side LK?
Using mathematical operations, we can conclude that the length of LK is 1.25 units in triangle JKL.
What are mathematical operations?
A mathematical "operation" is indeed the method by which a value utilizes operands and a math operator.
The supplied operands or numbers must conform to a set of predefined rules that are connected to the symbol of the math operator.
Parentheses, Exponents, Arithmetic, Division, and Addition Simple arithmetic is also known as PEMDAS (from left to right).
So, we know that the given triangles are similar:
Then, the length of line LK will be:
JK/ST = LK/UT
Solve this as follows:
JK/ST = LK/UT
2.5/10 = LK/5
10LK = 2.5(5)
10LK = 12.5
LK = 12.5/10
LK = 1.25
Therefore, using mathematical operations, we can conclude that the length of LK is 1.25 units in triangle JKL.
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Jod Joe are playing a game scored with complex numbers. Jodi has a score of 5 − 3i and Joe has a score of 4 + 2i. Question 1 What is the combined score for Jodi and Joe?
The combined score for Jodi and Joe is 9-i
How to find the combined score for Jodi and Joe?Two complex numbers, z₁ = a + bi and z₂ =c +di, can be added by adding the corresponding real and imaginary parts. That is:
z₁+z₂ = (a+c) + (b+d)i
Given: Jodi's score = 5−3i and Joe's score = 4 + 2i
Combined score = 5−3i + 4 + 2i
= (5+4) + (-3+2)i
= 9-i
Therefore, the combined score is 9-i
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PLEASE HELP!!! PLEASE NO LINKS
Answer: 624
Step-by-step explanation:
12 times 8 is 96 and 96 divided by 2 is 48 and 48 times 13 is 624
what is the value of r2? (hint: find ssr (regression sum of squares) using the version of theformula within it. (you did this in a practice exercise.) also, what is sst? (it is on the table)
A higher R-squared value indicates a better fit of the regression model to the data.
R-squared is a statistical measure that is commonly used to evaluate the goodness of fit of a regression model.
To understand how R-squared works, let's first review the concept of regression. Regression analysis is a statistical technique used to explore the relationship between two or more variables.
In a simple linear regression, we have a dependent variable (Y) and an independent variable (X), and we are trying to find a line of best fit that can predict the value of Y based on X.
Now, let's assume that we have a set of data points for Y and X. We can use regression analysis to find the line of best fit that minimizes the distance between the predicted values and the actual values of Y. The sum of the squared errors between the predicted and actual values of Y is called the regression sum of squares (SSR).
SSR is an important component in calculating R-squared. To find R-squared, we divide SSR by the total sum of squares (SST), which is the sum of the squared differences between the actual values of Y and the mean of Y. The resulting value of R-squared ranges from 0 to 1, with higher values indicating a better fit of the regression model to the data.
In mathematical terms, R-squared can be expressed as:
R-squared = SSR / SST
Therefore, to find the value of R-squared, we first need to calculate SSR using the formula within it. Once we have SSR and SST, we can divide SSR by SST to obtain the value of R-squared.
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someone help me asap
Answer: 24 and 12
Step-by-step explanation: