The options A, C, E are correct. On the basis of the theory of the rotation and transformation on the parallelogram.
According to the statement
we have given that the
Parallelogram 1 is in quadrant 1 and sits on the x-axis with a point at (0, 0). Parallelogram 2 is in quadrant 4 and sits on the y-axis with a point at (0, 0)
And we have to find that the which terms are corrected from the given options when Parallelogram 1 is rotated 270 degrees counter-clockwise to form parallelogram 2.
So, For this purpose we know that the
A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
And According to the given statement
when parallelogram 1 is rotated 270 degrees counter-clockwise to form parallelogram 2.
Then the conditions A, C, E are applicable because on rotation these things are applicable.
So, The options A, C, E are correct. On the basis of the theory of the rotation and transformation on the parallelogram.
Disclaimer: This question was incomplete. Please find the full content below.
Question:
Figure 2 was constructed using figure 1.
On a coordinate plane, 2 parallelograms are shown.
Parallelogram 1 is in quadrant 1 and sits on the x-axis with a point at (0, 0). Parallelogram 2 is in quadrant 4 and sits on the y-axis with a point at (0, 0).
Parallelogram 1 is rotated 270 degrees counter-clockwise to form parallelogram 2.
For the transformation to be defined as a rotation, which statements must be true? Select three options.
A. The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).
B. The transformation is rigid.
C. Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.
D.Segment CP is parallel to segment CP'.
E. If figure 1 is rotated 180° about point C, it will be mapped onto itself.
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complete the remainder of the table for the given function rule.
Answer:
following the (x,y) coordinate system,
(0,4) ; (1,1) ; (2,-2)
Step-by-step explanation:
youre given the value of the x variable in the table, so all you need to do is substitute x and follow pedmas!! hope this helps<3
Word Problem On Division
1. a cup can hold 2/9 ( fraction) litres of water. how many cups of water can be filled with 3 litre bottle?
Applying the knowledge of fractions, the number of cups of water that will fill a bottle of 3 liters is calculated as: 13.5 cups.
What are Fractions?Fractions are numbers that indicate a part of whole numbers. For example, 2/9 of a liter means 2/9 of a part of 1 liter.
What is a Proportion?In math, a proportion is simply and equation that sets to ratios equal to each other.
To solve the problem given, create a proportion then use cross product to find the wanted value, which is the number of cups of water that can be filled into a 3-liter bottle.
Let x represent the cups of water we are looking for.
1 cup = 2/9 liter
x = 3 liters
We would have:
(1)(3) = (2/9)(x)
3 = 2x/9
(3)(9) = 2x
27/2 = x
x = 13.5
The number of cups of water to fill a 3-liter bottle is: 13.5.
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what is the solution to this equation 7x-3(x-6)=30
Hi there,
please see below for solution steps :
‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗
⨠ use the distributive property
[tex]\sf{7x-3(x-6)=30}[/tex]
[tex]\sf{7x-3x+18=30}[/tex]
⨠ combine like terms
[tex]\sf{4x+18=30}[/tex]
⨠ subtract both sides by 18
[tex]\sf{4x=30-18}[/tex]
[tex]\sf{4x=12}[/tex]
⨠ divide both sides by 4
[tex]\boxed{\sf x=3}[/tex]
‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗
Identify the slope type of the graph shown above.
Question 15 options:
A)
Undefined
B)
Zero
C)
Positive
D)
Negative
Answer:
Zero
Step-by-step explanation:
At an airport screening, every 4th passenger will be selected to have their hands swabbed to screen for traces of explosives. Which sampling method is being used
The sampling method used is classified as Systematic.
How are sampling strategies classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, every 4th element is taken, which is a systematic sample with k = 4.
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Trigonometry Question:
Find all solutions on the interval [0,2π)
12sin^2(x)+cos(x)-6=0
Recall the Pythagorean identity,
[tex]\sin^2(x) + \cos^2(x) = 1[/tex]
Use it to rewrite the equation in terms of cos only.
[tex]12 (1 - \cos^2(x)) + \cos(x) - 6 = 0[/tex]
[tex]-12 \cos^2(x) + \cos(x) + 6 = 0[/tex]
Factorize the left side.
[tex]-(3\cos(x) + 2) (4\cos(x) - 3) = 0[/tex]
Solve the two cases for [tex]\cos(x)[/tex].
[tex]3 \cos(x) + 2 = 0 \text{ or } 4\cos(x) - 3 = 0[/tex]
[tex]\cos(x) = -\dfrac23 \text{ or } \cos(x) = \dfrac34[/tex]
From the first equation, we get one family of solutions:
[tex]\cos(x) = -\dfrac23[/tex]
[tex]x = \cos^{-1}\left(-\dfrac23\right) + 2n\pi \text{ or } x = -\cos^{-1}\left(-\dfrac23\right) + 2n\pi[/tex]
From the second equation, we get another family:
[tex]\cos(x) = \dfrac34[/tex]
[tex]x = \cos^{-1}\left(\dfrac34\right) + 2n\pi \text{ or } x = -\cos^{-1}\left(\dfrac34\right) + 2n\pi[/tex]
where [tex]n[/tex] is an integer.
We get solutions in the given domain for
[tex]n = 0 \implies \boxed{x = \cos^{-1}\left(-\dfrac23\right)} \text{ or } \boxed{x = \cos^{-1}\left(\dfrac34\right)}[/tex]
[tex]n=1 \implies \boxed{x = 2\pi - \cos^{-1}\left(-\dfrac23\right)} \text{ or } \boxed{x = 2\pi - \cos^{-1}\left(\dfrac34\right)}[/tex]
Select true or false to tell whether the following conditional p q is true or false. Use the truth table if needed.
If 3 + 2 = 5, Then 5 + 5 = 10
The given condition on the basis of truth table is true.
According to the statement
we have given that the some condition p and q. and we have to find that the given condition is true or false on the basis of the truth table.
So, The given conditions are:
If 3 + 2 = 5, Then 5 + 5 = 10
Now,
The Truth table is a tabular representation of all the combinations of values for inputs and their corresponding outputs. It is a mathematical table that shows all possible outcomes that would occur from all possible scenarios that are considered.
So, the given conditions are properly verified with the truth table. So, it is true.
So, The given condition on the basis of truth table is true.
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what is a real world example of a rational function, and how could you graph it and put it in a table?
An example of the real world example of a rational function would be when a person would decide to share a cookie with their friend. Each of them would get half of the cookie each.
What is a rational function?This is the term that is used to refer to the fraction that is represented by the use of a rational fraction. That is there is denominator and a numerator.
The denominator must have a variable and this variable has to be of degree 1. Hence the real world example of a rational function would be when a person would decide to share a cookie with their friend. Each of them would get half of the cookie each.
How to graph a real world situationFirst you have to know if it is an inequality or not. Then you have to assign x and y variables to numbers. From here you form an equation. This equation is plotted on a graph.
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Find using appropriate Properties:
6/7 x -2/3 + 3/5 + 5/8 x -6/7
The simplified form of the expression is given as 83x/56 -(97/105)
Finding the value of unknown variablesAlphabets are usually represented as unknown variables in a equation or expression.
Given the following expression shown below
6/7 x -2/3 + 3/5 + 5/8 x -6/7
Collect the like terms to have;
6/7 x+ 5/8 x -2/3 + 3/5 -6/7
Simplify
48x+35x/56 - (70-63 + 90)/105
The final expression will be given as;
83x/56 -(97/105)
Hence the simplified form of the expression is given as 83x/56 -(97/105)
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answer????? with steps
answer the last question that is blank
The solutions to the given quadratic equation are as follows:
x = 1.10, x = 10.9.
What is a quadratic function?A quadratic function is given according to the following rule:
[tex]y = ax^2 + bx + c[/tex]
The solutions are:
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex][tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]In which:
[tex]\Delta = b^2 - 4ac[/tex]
For this problem, the equation in item D is:
-x² + 12x - 12 = 0
x² - 12x + 12 = 0
Hence the coefficients are:
a = 1, b = -12, c = 12.
Then the solutions to the equation are found as follows:
Delta = (-12)² - 4 x 1 x 12 = 96x1 = 0.5(12 + sqrt(96)) = 10.9x2 = 0.5(12 - sqrt(96)) = 1.10The solutions are:
x = 1.10, x = 10.9.
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the area of a piece of land is 4.08km^2. it is bought at a piece of $6000 per square km. calculate the total cost of the land, giving our answer to the nearest $100
Answer:
22480.000
Step-by-step explanation:
Cost of 1km²=6000
So,
Cost of 4.08km²=6000x4.08
=22480.000
I don't know what nearest $100 means tho maybe nearest hundredth but I'm not sure.
The total cost nearest 100 is = $22500.
What is area?Modern mathematics heavily relies on the concept of area. The area is the quantity that shows the amount of space occupied by a two-dimensional figure or shape or planar lamina in the plane. Simply put, the area is the amount of cloth or other material with the specified thickness needed to build a model of the form or the quantity of paint required to cover the shape's surface in a single layer, or "coat," of paint.
According to the given Information:Cost of 1km2 = 6000
So,
Cost of 4.08km2 = 6000 * 4.08
= 22480.000
Rounding off to 100;
Cost = 22500.00
Hence,
Total cost of the land nearest 100 is = $22500.
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would really appreciate help thank you!
Answer:
(2, 2) ⇒ (-2, 2)
(-5, 6) ⇒ (-6, -5)
(2, 6) ⇒ (-6, 2)
(-5, 2) ⇒ (-2, -5)
Step-by-step explanation:
The new coordinates can be found using the transformation function for figures rotated 90° about the origin.
TransformationRotation 90° (counterclockwise) about the origin can be described by ...
(x, y) ⇒ (-y, x)
ApplicationThe end points of the diagonal that comes closest to the origin will be transformed to ...
(2, 2) ⇒ (-2, 2)
(-5, 6) ⇒ (-6, -5)
The other diagonal end points will be on the same horizontal and vertical lines as these.
(2, 6) ⇒ (-6, 2)
(-5, 2) ⇒ (-2, -5)
Elsa went to Malacca with three friends. The total amount spent by them is RMx. If Elsa spent RM 145, and the amount spent by each of her three friends did not exceed RM 110 per person, which of the following cannot be the value of x.
The total amount spent by Elsa and her friends must not exceed RM 475; 475 ≤ x
InequalityTotal amount spent = RMxAmount spent by Elsa = RM 145Amount spent by each of her three friends = RM 110Elsa + 3(her friends) ≤ Total
145 + 3(110) ≤ x
145 + 330 < x
475 ≤ x
Therefore, the total amount spent by Elsa and her friends must not exceed RM 475; 475 ≤ x
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Which graph shows the solution to this system of in
y>-1/3x+1
y> 2x-3
Answer:
Step-by-step explanation:
the graph is down below
4. Which of the following can be used
to support the idea that the set of
polynomials is closed under
multiplication?
A (5x-1)(3x² +4x)
B
(9x³-5)(2x-17)
(10x0.5-8)(5x0.5 +4)
D(2x¹5x¹)(7x-2x5)
The option that can be used to support the idea that the set of polynomials is closed under multiplication is; Option C: (10x^(0.5) - 8)(5x^(0.5) + 4)
What is the Closure property under multiplication?When multiplying polynomials, the variables' exponents are added, according to the rules of exponents. It is pertinent to note that the exponents in polynomials are whole numbers. The whole numbers are closed under addition, which guarantees that the new exponents will be whole numbers. Thus, we can also say that the polynomials are closed under multiplication.
Now, looking at the options, we can say that option C is the only polynomial that is closed under multiplication because its' variables and exponents will not change;
(10x^(0.5) - 8)(5x^(0.5) + 4)
The output will retain the same thing.
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Solve for the value of x in the diagram below. Show your work and explain the steps you used to solve.
Answer: x = 2
Step-by-Step Solution:
Given:
OH = WO = LW
OH = 2x + 1
WO = 3x - 1
LW = 5
To Find:
The value of 'x'
Solution:
We know, OH = WO = LW
So, equate any two of the values given :-
2x + 1 = 5
2x = 5 - 1
2x = 4
x = 4/2
x = 2
Hence, x = 2.
An equilateral is shown inside a square inside a regular pentagon inside a regular hexagon. The square and regular hexagon are shaded.
An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. Write an expression for the area of the shaded regions.
Shaded area = area of the
– area of the + area of the – area of the
Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle. This can be obtained by finding each shaded area and then adding them.
Find the expression for the area of the shaded regions:From the question we can say that the Hexagon has three shapes inside it,
PentagonSquareTriangleAlso it is given that,
An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon.
From this we know that equilateral triangle is the smallest, then square, then regular pentagon and then a regular hexagon.
A pentagon is shown inside a regular hexagon.
Area of first shaded region = Area of the hexagon - Area of pentagonAn equilateral triangle is shown inside a square.
Area of second shaded region = Area of the square - Area of equilateral triangleThe expression for total shaded region would be written as,
Shaded area = Area of first shaded region + Area of second shaded region
Hence,
⇒ Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle.
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Answer:
Regular Hexagon
Regular Pentagon
Square
Equilateral Triangle
Step-by-step explanation:
E2020 Geometry B!! :3
The volume occupied by 34 grams of brass is 4.0 cubic centimeters. the density of the brass is...
Answer:
8.5 g/cm^3
Step-by-step explanation:
Density = mass/volume
= 34 g / 4 cm^3 = 8.5 g/cm^3
Answer:
8.5 grams per cubic centimeter.
Step-by-step explanation:
Density = mass / volume
= 34 / 4
= 8.5 grams / cubic centimeter.
You have $30 to buy muffins. However, at the shop you can buy 1 muffin for $4. (a) Write an inequality from the above information. (b) Solve this inequality to find the number of muffins you can buy. (c) How much money will you have left over?
Answer:
Let m be the number of muffins.
a) 4m <= 30
b) m <= 7.5, so the maximum number of muffins to buy is 7.
c) $4 × 7 = $28, so $2 will be left over.
write the expression as the sine or cosine of an angle
The expression, written as the sine of an angle is sin (7π/10)
Trigonometry IdentitiesFrom the question, we are to write the given expression as the sine or cosine of an angle.
The given expression is
sin(π/5)cos(π/2) + sin(π/2)cos(π/5)
Let A = π/5
and
B = π/2
Thus, we get
sinA cosB + sinB cosA
From the given information, we have that
sin(A ± B) = sinA cos B ± cosA sinB
∴ sin(A + B) = sinA cos B + cosA sinB
Now,
sinA cosB + sinB cosA = sinA cosB + cosA sin B
∴ sinA cosB + sinB cosA = sin (A + B)
Put A = π/5
and
B = π/2
sinπ/5 cosπ/2 + sinπ/2 cosπ/5 = sin (π/5 + π/2)
sinπ/5 cosπ/2 + sinπ/2 cosπ/5 = sin (7π/10)
Hence, the expression, written as the sine of an angle is sin (7π/10)
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The graph of a linear relation passes through the point (-3,-5) and has a slope of 3.
Determine an equation for this linear relation in slope intercept form.
Answer:
y = 3x + 4
Step-by-step explanation:
Substituting into point-slope form and converting to slope-intercept form,
[tex]y+5=3(x+3) \\ \\ y+5=3x+9 \\ \\ \boxed{y=3x+4}[/tex]
william bougght canned goods at 2.40 per can.he wants to increase the price per can so that he makes a 25% profit. what will the selling price per can be?
Answer:
The answer is 3
Step-by-step explanation:
25% of 2.40 equals 0.6
so 3 will be the total price and he will get 0.6 profit.
William bought canned goods at 2.40 per can. he wants to increase the price per can so that he makes a 25% profit, the selling price per can be, 3.00
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
William bought canned goods at 2.40
He wants to increase the price per can so that he makes a 25% profit
The selling price per can be =?
Percentage = Amount he wants to increase/previous amount×100
25 = x/2.40×100
x = 0.60
new selling price = 2.40+0.60
= 3.00
Therefore, The new selling price is 3.00 per can
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Find the area of the semicircle.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal. 6
The area of the given semicircle is 56.574 sq. units. Half of the area of the circle is the area of the semicircle.
What is the area of the semicircle?The area of the semicircle is
A = [tex]\frac{1}{2}[/tex] πr² sq. units
Where r - radius
A semicircle is nothing but half part of the circle. So, its area is also half of the circle's area.
Calculation:It is given that,
The radius of the semicircle is
r = 6
So, its area in terms of π is
A = [tex]\frac{1}{2}[/tex] πr²
= [tex]\frac{1}{2}[/tex] × π × 6²
= 18π sq. units
On substituting π = 3.143, we get
A = 18 × 3.143 = 56.574 sq. units
Thus, the area of the given semicircle in terms of π is 18π or in terms of π =3.143 is 56.574 sq. units.
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A sample of n = 64 scores is selected from a population with µ = 80 with σ = 24. On average, how much error is expected between the sample mean and the population mean?
The expected error between the sample mean and the population mean is 3.
In this problem, we have been given :
population mean (μ) = 80,
standard deviation (σ) = 24,
sample size (n) = 64
We know that,
The Central Limit Theorem states that, for a normally distributed random variable X, with mean μ and standard deviation σ, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation, which is also called standard error [tex]s=\frac{\sigma}{\sqrt{n} }[/tex]
We need to find the error between the sample mean and the population mean.
standard error
= σ /√n
= 24 /√64
= 24 / 8
= 3
Therefore, the expected error between the sample mean and the population mean = 3
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What will be the length of the diagonal of a rectangle of sides 6 m and 8 m?
Answer:
The length of the diagonal of a rectangle is 10m
Step-by-step explanation:
There is a visual below,
The diagonal of a rectangle has formed 2 right triangles.
This diagonal is called hypotenuse side length of a triangle
To find the hypotenuse, we can use the Pythagorean Theorem
a² + b² = c²
we are given the length of a and b, where a = 6 and b = 8
(6)² + (8)² = c²
36 + 64 = c²
100 = c²
√100 = c
10 = c
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Find the value of n in this equation.
Answer:
D. 9=========================
GivenTriangle with:
Base of n² -3,Midsegment of 39.To findThe value of n.SolutionAs per definition of midsegment, it is connecting the midpoints of two sides and its length is half the length of the opposite side of the triangle.
So we have:
(n² - 3)/2 = 39Solve it for n:
n² - 3 = 78n² = 81n = √81n = 9Correct choice is D.
Una estrategia de cálculo mental con
números decimales consiste en buscar
parejas de números cuya suma sea un
número entero. Aplica esta estrategia para
calcular mentalmente:
a. 15,75 + 1,2 + 0,25
b. (–1,8) + 2,45 + (–0,20)
c. 3,5 + 11,8 + 12,5
d. 7,38 – 1,5 + 2,62
Esta estrategia se puede aplicar sumando 15,75 + 0,25, –1,8 + –0,20, 3,5 + 12,5 y 2,62 + 7,38 antes de sumar el tercer número dado en cada caso.
¿En qué consiste está estrategia?La estrategia propuesta consiste en sumar dos números decimales que den como resultado un número entero antes de sumar el tercer número decima. Por ejemplo si teneos 1,4 + 0,6 + 1,2, se debe sumar primero 1,4 + 0,6 lo que es igual a 2 antes de sumar el 1,2.
¿Por qué utilizar esta estrategia?Este estrategia es beneficiosa porque facilita sumar números decimales.
¿Cómo aplicar está estrategia?15,75 + 1,2 + 0,25 = 16 (0,25+15,75) + 1,2 = 17,2 (–1,8) + 2,45 + (–0,20) = -2 (-1,8-0,20) + 2,45 = 0,453,5 + 11,8 + 12,5 = 16 (12,5+3,5) +11,8 = 27.87,38 – 1,5 + 2,62 = 10 (7,38+2,62) + 2,62 = 12,62Aprenda más sobre números decimales en: https://brainly.com/question/24620232
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Mr. McConnell brings in 6 2/3 pizzas for his students' pizza party. If Mr. McConnell divides the pizza evenly among his 4 students, how much pizza will each student get?
If Mr. McConnell brings in 6 2/3 pizzas for his students' pizza party and he divided the pizza evenly among his 4 students, each student will get 5/3 pizzas.
How much pizza will each student get?Given the data in the question;
Mr. McConnell brings in 6 2/3 pizzas for his students' pizza party.McConnell divides the pizza evenly among his 4 students.First we convert the mixed fraction into an improper fraction.
6 2/3 = ( 6×3 + 2 )/3 = 20/3
Since McConnell divides the pizza evenly among his 4 students.
We will divide 20/3 by 4
20/3 ÷ 4
20/3 × 1/4
(20 × 1) / (3 × 4 )
20/12
5/3
Therefore, if Mr. McConnell brings in 6 2/3 pizzas for his students' pizza party and he divided the pizza evenly among his 4 students, each student will get 5/3 pizzas.
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Dario is the kicker for his high school football team. The path of the football when kicked can be
represented by the quadratic function y = -16x²
-16x2 +85x, where x is the horizontal distance (in
feet) and y is the height (in feet). How far does Dario kick the football? Express your answer as a
decimal rounded to the nearest hundredth.
Answer:
Assunming that the equation is y = -16x² +85x, I suggest Dario find a new profession. He kicks the ball 133 feet high, but it only travels 2.7 feet downfield at that point. It will have travelled 2*2.7 feet or 5.4 feet horizontal when it returns to ground.
Step-by-step explanation:
We can answer the question of how hiogh and far the ball travels (in feet) by either of two methods. The first is to differentiate the equation and set it equal to 0, and the second is the graph it and look for the vertex and x intercept.
Differentiate
y = -16x² +85x
The first derivative produces an equation that gives us the slope of the line at any point x. At the ball's top height, it stops and reverses direction, a point at which the slope is zero.
y = -16x² +85x
d(y)/d(x) = -32x + 85
0 = -32x + 85
32x = 85
x = 2.66 feet horizontal distance when the ball reaches its peak.
At x = 2.66, y is 112.9 feet high
When the ball returns, it adds amnother 2.66 feet to the horizontal distance, for a total of 5.4 feet.
Graph:
See attached plot of the function.
Horizontal distance is 2.66 feet and height is 133 feet. The x-intercept is at 5.4 feet.
After all that, the ball only travelled downfield (we hope downfield) a total of 5.4 feet.