The steps for using a compass and straightedge to construct a square are as follows :-
1. Use a straightedge to draw line a and label a point on the line as point P.
2. Construct a line perpendicular to line a through point P.
3. Label a point on this line as point R.
4. With the compass open to the desired side length of the square, place the compass point on point P and draw an arc on line a and an arc on PR←→.
5. Label the points of intersection as points S and T.
6. Keeping the same compass width, place the compass on point T and draw an arc in the interior of∠SPT to intersect the previously drawn arc.
7. Label the point of intersection as point Q.
8. Without changing the compass width, place the compass point on point S and draw an arc in the interior of∠SPT .
9. Use the straightedge to draw QS ,QT,SR and RT.
What is a square?In geometry, a square is a plane figure with four equal sides and four right angles (90°). A square is a special kind of parallelogram as well as an equilateral rectangle.
A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can also be explained as a rectangle with two adjacent sides that are of equal length.
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Jackie made a poster for the school advertising the Science Olympiad. She included sample statistics on the speed of the mousetrap cars from the previous years.
a. If one car raced 8 meters in 1.5 seconds, what was its speed?
2
Given the coordinates, classify AQRT by by its sides. Q(-2, -1), R(1, 5), T(-8,-4)
If necessary, round to the tenths place.
QR
Classify:
RT=
QT
To classify a quadrilateral by its sides, we need to calculate the distance between each pair of its vertices.
The distance between Q and R is the square root of ((1-(-2))^2 + (5-(-1))^2) = square root of (3^2 + 6^2) = square root of (9+36) = square root of 45 = 6.7
The distance between R and T is the square root of ((-8-1)^2 + (-4-5)^2) = square root of (9+81) = square root of 90 = 9.5
The distance between Q and T is the square root of ((-8+2)^2 + (-4+1)^2) = square root of (10+5) = square root of 15 = 3.87
If the quadrilateral is a rectangle, two sides of it have to be equal, so in this case, AQRT is not a rectangle.
If the quadrilateral is a rhombus, all four sides have to be equal, so in this case, AQRT is not a rhombus.
If the quadrilateral is a square, all four sides have to be equal, so in this case, AQRT is not a square.
If the quadrilateral is a trapezoid, two adjacent sides are parallel, so in this case, AQRT is not a trapezoid.
If the quadrilateral is a parallelogram, two pairs of opposite sides are parallel, so in this case, AQRT is not a parallelogram.
If the quadrilateral is a kite, two pairs of sides have the same length, so in this case, AQRT is not a kite.
So the only possible classification is that AQRT is a general quadrilateral.
so we have:
QR = 6.7
RT = 9.5
QT = 3.87
What is linear equation Class 8 example?
such pair of equation that have only one pair of solutions which satisfy both equation is linear equation
determine the serious of transformation that would map figure G onto figure H
The series of transformation that would map the quadrilateral in figure G to the quadrilateral in figure H are A reflection about the y-axis and A translation of three units left.
What is a transition in geometry?A geometric figure can undergo a geometric transformation by changing its position, size, orientation, or any combination of these.
The potential polygon in the question, which was produced in MS Excel using data from a related web question, is attached;
The polygon's vertices are;
Figure G's vertices' coordinates are (-2, 7), (-6, 3), (-1, 5), and (-1, 1)
Figure H's corresponding vertices' coordinates are (5, 7), (9, 3), (4, 5), and (9, 3). (4, 1)
Figures G and H have identical y-values, but their x-values have different values and signs.
Following a reflection about the y-axis, the coordinates of the point (x, y) are the point (-x, y)
The transformation that maps the image produced by the reflection and figure H are;
Transformation (5 - 3, 7 - 7) = (3, 0)
(9 - 6, 3 - 3) = (3, 0)
(4 - 1, 5 - 5) = (3, 0)
(4 - 1, 1 - 1) = (3, 0)
The transformation that maps the image of figure G to figure H is therefore T₍₃, ₀₎, which is a translation of 3 units to the right.
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Use multiplication to find 1/4
If the two fractions are 1/4 and 1/6, then the two equivalent fractions are 2/8 and 2/12, respectively.
A fraction is what?The numerator, which is found at the top of the fraction number, and the denominator, which is found at the bottom of the fraction number, are its two constituent parts.
The percentage is= 1/4
In both the denominator and the numerator, multiply it by two= 2/8
A fractional equivalent of 2/8 is 1/4.
Similarly,
For 1/6= 2/12
The fraction 2/12 is equivalent to 1/6.
Therefore, if the two fractions are 1/4 and 1/6, the two equivalent fractions are 2/8 and 2/12, respectively.
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At target you will pay $32.00 for 20 packages of travel kleenex, how much will 1 package cost?
A. $2.00
B.$1.60
C.$1.00
D.$2.60
At target you will pay $32.00 for 20 packages of travel Kleenex. The correct answer is (option B)
What was the steps to get to this answer?We see here that we have 32 and 20 we are going to divide those numbers to get are answer:
→ 32/20
→ = ?
What does 32/20 equal?→ 32/20
→ = 1.6
→ 1 package will cost $1.60.
Therefore, at target you will pay $32.00 for 20 packages of travel Kleenex. The correct answer is (option B)
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please help Im not sure what I'm doing
The function rules for each table are given as follows:
7. y = 5x - 2.
8. y = x³.
9. y = x³ + 1.
How to obtain the function rules?For item 7, when x increases by one, y is increased by 5, hence the function is a linear function with slope 5, as follows:
y = 5x + b
When x = 6, y = 28, hence the intercept b is given as follows:
28 = 5(6) + b
b = 28 - 30
b = -2.
Hence the function is:
y = 5x - 2.
For item 8, the each term is cubed, hence the function is given as follows:
y = x³.
For item 9, the function is one added to the function in the previous problem, hence:
y = x³ + 1.
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Why quadratic equation is parabola?
A parabola is the form of a quadratic function's graph because the vertex of a parabola is the location where the axis of symmetry of the curve crosses.
f(x) = ax^2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the form of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.
Regarding a line known as the axis of symmetry, all parabolas are symmetric. The vertex of a parabola is the location where the axis of symmetry of the curve crosses.
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Calculate the pay for the following day of a weekly time card given a wage of $16/hr
The Total Pay for the following Day is $136 in this algebra question.
What is a Time Card?A time card is a piece of cardboard with the hours worked by an employee for a given work week printed on it. The time an employee starts and stops working is often printed on the card when it is entered into a time clock. It is used by the payroll staff to calculate the hours for which an employee shall be paid.
On Monday Morning the work time is from 8:15 to 12:15 is equal to 4 hours.
On Monday Afternoon the work time is from 13:00 to 17:30 is equal to 4.5 hours.
So, total work time is = (4+4.5)hours = 8.5 hours
SInce the given wage is $16/hr
Therefore,
Total Pay for he following day is = 8.5 x 16=$136.
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What kind of word is geometry?
The terms "ge" and "metria," which both imply "measuring," are the origins of geometry. For more than 2000 years, the Greeks' method of approaching geometry has served as the foundation for geometry.
Who named geometry?The father of geometry, Euclid was a brilliant mathematician. Learn more about Euclid and the history of some of the math ideas we use today to see how important they have become.
The study of various mathematical or actual-world forms, figures, and sizes is known as Geometry. We learn about various angles, transformations, and similarities between the forms in geometry. The point, line, and plane are the main building blocks of geometry.
The point, line, and plane are only a few of the many undefined terms in geometry. All other concepts in geometry may be defined from these three undefined terms.
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If A and B are mutually exclusive, then P(A\capB) = 0.
A and B are independent if and only if P(A\capB) = P(A)P(B)
If A and B are two events with P(A) = 0.4, P(B) = 0.2, and P(A B) = 0.5. Find the following:
(a) P(A\capB) (b) P(A?\capB) (c) P(A?\cupB?) (d) P(A|B)
If A and B are independent events with P(A) = 0.4 and P(B) = 0.2. Find the following:
Roll a die once. The event of getting a "2" and the event of getting a "5" are (a) independent;
(b) mutually exclusive;
(c) Neither
Roll a die twice. The event of getting a "2" on the first roll and the event of getting a "5" on the second roll are
(a) independent;
(b) mutually exclusive;
(c) Neither
The probability of both events occurring is P(A ∩ B) = P(A)P(B) = 0.16^2 = 0.0256.
The event of getting a "2" and the event of getting a "5" on the first roll of a die are mutually exclusive events because they cannot both occur in the same trial. The probability of either of these events occurring is P(A) = 0.16, and the probability of both events occurring at the same time is P(A ∩ B) = 0.00.
The event of getting a "2" on the first roll and the event of getting a "5" on the second roll of a die are independent events. This can be confirmed using the formula P(A ∩ B) = P(A)P(B). The probability of getting a "2" on the first roll is P(A) = 0.16 and the probability of getting a "5" on the second roll is P(B) = 0.16. Thus, the probability of both events occurring is P(A ∩ B) = P(A)P(B) = 0.16^2 = 0.0256.
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Please show working
When Corey buys a bottle of
water alone he spends $80.00.
When he buys a bottle of water
and 2 packs of peanut, he
spends $200.00.
How much would it cost to purchase 4 bottles of water and
four packs of peanut?
Answer:
560
Step-by-step explanation:
A bottle of Water is x=80
A Pack Of Peanuts is y=?
x+2y=200
y= 200-80 divided by 2 =60
4x+4y= 4x80 + 4x60 = 560
Please help, will give brainiest
QUESTION 1.
Element X on Planet Qatar has three known isotopes: X-121 with a relative abundance of 43.2%, X-123 with a relative abundance of 53.1%, and X-129 with a relative abundance of 3.70%. What is the average atomic mass in amu of Element X given this information?
QUESTION 2.
How did Rutherford's experiment change the way scientists had previously viewed atomic structure? How did this pave the way for subsequent changes up to and including the currently accepted quantum mechanical atomic model?
QUESTION 3.
How is percent abundance related to average atomic mass?
a) The percentage abundance Shows us the amount of the substance in the element
b) The relative atomic mass for the element X has been obtained as 122.5 amu
c) The Rutherford's model explained showed the movement of the electrons.
What is the isotope?The isotopes of an elements are the atoms of the elements that have the same atomic number but do not have the same mass number. We know that the atoms of the isotopes of the element that we have are important as we try to determine the relative atomic mass of the element as we have the element X in this case.
Now we have that;
Relative atomic mass = Weighted average of all the isotopes
As such we have;
(121 * 0.432) + (123 * 0.531) + (129 * 0.0370)
52.27 + 65.31 + 4.773
=122.35 amu
The Rutherford model of the atom shed light on the manner in which the electrons move around the nucleus of the atom of the element that we have in the atom.
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What is the value of the function y=2x-3 when x = −1?
0-5
0 -1
O2
O 3
Answer:
-5
Step-by-step explanation:
2(-1) - 3
-2 - 3
-5
At a certain restaurant, each table seats 5 people. How many tables will a group of 45 people need?
Question 7 of 25
f(x)=√x-4. Find the inverse of f(x) and its domain.
O A. f¹(x) = x² + 4; x≥0
OB. f¹(x) = (x+4)²; x≥-4
O c. f¹(x) = x² + 4; x ≥-4
O D. f¹(x) = (x+4)²; x≥0
Answer:
Domain of inverse = Range of f = x>-4
Hence B
Carl needs to take 7 pairs of jeans and 14 shirts for every 14 days he spends at camp.
Drag jeans and shirts into the box to show what Carl needs to pack for 4 days at camp.
Step-by-step explanation:
he needs two pairs of jeans and 4 shirt for him to spend 4 days at the camp
I need help with this, i am so confused on what to do
Answer: so the column on the left are expressions, you simplify them by combining like terms, in this case, the variable x. And the row across the top are the simplified expressions. Once you finished simplifying it, you check mark the simplified expression it matches under the column.
Step-by-step explanation:
For example, the first one you’d do this;
The simplified version of 1/3x + 1/4 -2/3x is -1/3x + 1/4
Which is the correct first step in solving the inequality –4(2x – 1) > 5 – 3xanswers are?ADistribute–4 to get –8x + 4 > 5 – 3x.BDistribute –4to get –8x – 1 > 5 – 3x.CSubtract2xfrom both sides of the inequality.DAdd 1to both sides of the inequality
The correct first step in solving the inequality –4(2x – 1) > 5 – 3x is option A: Distribute –4 to get –8x + 4 > 5 – 3x.
This is because we are trying to solve for x, so we need to get x on one side of the inequality and all the other terms on the other side. In order to do this, we need to apply distributive property of multiplication over addition, which means we need to multiply the -4 with the 2x-1. By doing this we get -8x + 4 > 5 - 3x. This can help us to move forward in solving the inequality. This is the correct first step as it gets us closer to isolating the variable x on one side of the inequality.
After this step, we can further simplify the inequality by adding or subtracting similar terms to get the final solution.
It is important to remember that when solving inequalities we need to be careful with the signs, specially when dividing or multiplying by a negative number, as it might change the direction of the inequality.
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write and equation for the proportional relationship graphed below
Therefore ,In light of this, the answer to the above equation issue is
be 8.
What does equation mean?An equation must always include two equal members and one or more unknown members (the unknown variables). When multiplied by itself, what number, for example, results in 16. To express this maths equation mathematically, use the equation or expression.
Here,
Replace -3 with the following in the above quadratic equation.
(-3)² - 5(-3) + c = 0
measuring c:
c = -24
a quadratic equation that looks like this
x² - 5x - 24 = 0
x's value can be determined using the quadratic formula as follows:
x = [-b ±√(b² - 4(a)(c))]
/2a
x = [-(-5) ± √((-5)² - 4(1)(-24))] /2(1)
x = 8, -3
Therefore ,In light of this, the answer to the above equation issue is
be 8.
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which angles are vertical angles ?
Answer:
<UVS and <WVX
Step-by-step explanation:
They are both supplementary to the same angle. (<SVW)
Otherwise, you could just see if they are across from each other.
The triangles are similar. what is the value of x? enter your answer in the box. x = two right triangles. the larger triangle has a long leg of 36 units, a short leg of 15 units, and a hypotenuse of 39 units. the smaller triangle has a long leg of 12 units, short leg of 5 units, and the hypotenuse is labeled x minus 10.
For the above set of similar triangles, the value of x is 23 units.
What is similar triangles?Similar triangles have the same proportionate side lengths and related angle measurements. Two triangles are comparable if their corresponding angles and sides have the same ratio (or proportion). Similar triangles will have the same form but may or may not have the same size. Similar triangles are triangles that have the same shape but differ in size. Similar items include all equilateral triangles and squares with any side length. In other words, if two triangles are identical, their corresponding angles and sides are congruent and in equal proportion.
Here,
Two triangles are comparable if their corresponding angles and sides have the same ratio (or proportion).
x-10/39=12/36
x-10=13
x=23
The value of x for given set of similar triangles is 23 units.
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What is the exponential of 1?
Exponential of 1 is equal to the number itself which means 1.
Exponent is usually described as the method of demonstrating large numbers in terms of powers. It means, exponent refers to the count, that how many times a number is multiplied to itself to calculate that exponent.
In accordance with the exponent rule, any number raised to power of 1 would always be equal to 1 that is because it doesn't matter how many times we multiply 1 to itself. It is going to yield 1. For example, multiplying 1 hundred times i.e. 1^100 also results in 1.
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Is an exponential function a first order?
The integral rate law for a first-order reaction has the following exponential form: [A] = [tex][A]_{0}e^{-kt}[/tex]
If there are constants c, M > 0, and T > 0 such that |f(t)| ≤ Mect for all t>T, then a function f is said to be of exponential order c.
It is helpful to keep in mind the exponential's definition and characteristics since they serve as the foundation for the solution of first-order linear differential equations.
The Concentration of the Reactant Decreases Exponentially with Time in First-Order Reactions. A plot of the natural logarithm of the concentration is a linear function of time according to this form.
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a/a+b is the same as
a/a+b is the same as a/(a+b). This is because the division of two numbers is represented by the symbol '/', and when a and b are being divided, it is written as a/b.
In this case, a and b are being divided by a+b, so it is written as a/(a+b). This is known as a fraction, which represents a ratio of two numbers. This fraction represents the proportion of a to the total of a+b. The numerator (a) represents the part of the total that you are interested in, and the denominator (a+b) represents the entire quantity.
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a health food store makes trail mix
Answer:
They might include variety of nuts, raisins, and healthy sweets
Step-by-step explanation:
Pls help. Thank you.
The following is a basic formula to find the scale factor of a dilated figure is: : Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
What's the scale factor of the dilation?Sizing Factor (Dilation) The image's size will depend on the scale factor, which is used to dilate a mathematical entity (compared to the original object). An expansion happens when the scaling factor's absolute value exceeds one.
What is Dilation Geometry?Dilation is the process of increasing an object's size without altering its shape. Depending on the scale factor, the object's size may increase or shrink. A square of side 5 units can be widened to a square of side 15 units using dilation math, but the square's shape doesn't change.
In geometry, dilation math is used to enlarge and reduce two- or three-dimensional figures.
The Scale FactorA scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is the ratio of the original figure's and dilated figure's sizes.
You can use r or k to represent the scaling factor.
If the scale factor is more than 1 (k > 1), the image is expanded.
If the scale factor is less than 1 (0 k 1), the image is condensed.
If the scale factor is 1 (k = 1), the image doesn't change.
It should be noted that the scale factor's magnitude is taken into account and that it cannot be 0.
Scale Factor FormulaAn object's size can change depending on the scale factor, either growing or shrinking. The following is a basic formula to determine a dilated figure's scale factor:
Scale factor = Dimension of the new shape ÷ Dimension of the original shape.Another approach to express this formula that aids in determining the new shape's dimensions is as follows:
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A picture is 5 inches wide and 7 inches long. A photographer enlarges it so it is 17.5 inches wide and 24.5 inches long. What scale factor was used to enlarge the picture?
5 over 7
7 over 5
5 over 17.5
17.5 over 5
what concept does the concentric circle model illustrate?
Answer:
This theory states that the concentric circles are based on the amount that people will pay for the land.
Step-by-step explanation:
I swear this is the answer because I had the same question and I think this was my answer .
The concentric circle model illustrates nested relationships or boundaries.
We have,
The concentric circle model illustrates the concept of nested or concentric circles.
It represents a series of circles that share the same center point but have different radii.
These circles are placed one inside the other, with each circle contained within the previous one.
The concentric circle model is often used to visualize or explain various concepts, such as:
- Levels of influence or impact
- Zones or boundaries
- Relationships or proximity
- Targeting or segmentation
Thus,
The concentric circle model helps visually represent hierarchical or nested relationships, boundaries, proximity, or segmentation in various contexts.
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auline's Print Store and Carla's Copy Shop charge different rates to make copies. There is a proportional relationship between the number of copies and the total cost.
Answer:
The cost at Pauline's print store can be described with the following equation, where y represents the cost in dollars of x copies:
y = 0.05x, because 1.25/25 = 2.75/55 = 90/4.50 = 0.05
Carla's Copy Shop charges a higher unit right
and it is $0.04 higher per copy
Step-by-step explanation:
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