What is the shape of the cross section

Answer:

GCF is 14

Step-by-step explanation:

the list of factors are

14 : 1, 2, 7, 14

28 : 1, 2, 4, 7, 14, 28

the common factors are 1, 2, 7, 14

with GCF being 14

Answer:

A group of 20 students will purchase 205 = 100 admission tickets

Half of them want cotton candy, so 20/2 = 10 students want cotton candy

1/4 of them want soda, so 20/4 = 5 students want soda

So in total, they would save 103 = $30 on cotton candy

And they would save 5*2 = $10 on soda

Therefore, they would save a total of $30 + $10 = $40 by using the promotional deal.

Answer: 12.5 in.

Step-by-step explanation:

84 / 21 = 4

50 / 4 = 12.5

The expressions  15x − 45 and –3 (15 − 5x)  are always equivalent.

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

Therefore, let's check of the expressions are equivalent by simplifying the expressions.

Hence, the first expression is 15x - 45.

Let's simplify the expression -3(15 - 5x) to know if it's equivalent to the expression 15x - 45.

Therefore,

-3(15 - 5x)

open the brackets

-3(15 - 5x)  = -45 + 15x = 15x - 45

Therefore, the expression are always equivalents.

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By using the rule  a^m/a^n = a^m-a^n , x^10y^14/729 is the equivalent expression of the provided expression.

Math allows for addition, subtraction, multiplication, and division. Following is the structure of an expression: Calculator, number or variable, and expression The components of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) You can contrast phrases and expressions.

given

(27x^3y^-15/x^8y^-8) ^-2

[ 27x^3-8 y ^-15-(-8)]^-2...... a^m/a^n = a^m-n

= 1/(27)^2 * (x^10y^11) = x^10y^14/729 .

By using the rule  a^m/a^n = a^m-a^n , x^10y^14/729 is the equivalent expression of the provided expression.

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Answer:

The measure of ∠EFG is 95.

The area of a square is equal to (side) × (side) square units. The area of a square when the diagonal, d, is given is d2÷2 square units.

What is the formula for calculating the area of a rectangle?

Rectangle surface area. A = l × b. Once the length and breadth of a rectangle are determined, the area is computed. The area of a rectangle may be calculated by multiplying its length and width. The area of a form is the measurement of its surface. To calculate the area of a rectangle or square, multiply the length and breadth of the rectangle or square. A is equal to x times y.

The area of a square with each side 8 feet long, for example, is 8 8 or 64 square feet (ft2).

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Answer: The coordinate points are: -6, -7

Step-by-step explanation:

When you reflect a point over the y-axis, the y -coordinate stays the same, but the x -coordinate changes signs.

Answer:

y=6.4 and x=16.25

Step-by-step explanation:

angle b is the same as e

5y-3=29

   +3  +3

5y=32

/5   /5

y=6.4

line AC is equal to line DF.

8x-11=119

   +11  +11

8x=130

/8   /8

x=16.25

The length of y to the nearest inch is 4 inches.

Length is a measure of distance. It is the linear dimension of an object, the longest side of an object, or the measurement of something from end to end. Length can be measured in many different units, including feet, yards, meters, miles, centimeters, and millimeters. Length is a fundamental concept in mathematics and science and is used to calculate the area, volume, and speed of an object.

Using the trigonometric law of sines, we can find the length of y: y = x*sin(θ) = 7*sin(37∘) ≈ 4.14 inches. Therefore, the length of y to the nearest inch is 4 inches.

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The value added produced through the production of products and services in a nation over a specific time period is typically measured by its gross domestic product (GDP).

The value added produced through the production of products and services in a nation over a specific time period is typically measured by its gross domestic product (GDP). As a result, it also accounts for the money made from that manufacturing, or the total amount spent on finished goods and services (less imports).

GDP is calculated as private consumption plus gross domestic product (GDP), government investment, and government spending (exports – imports). Usually, GDP is estimated using the international standard by the nation's national statistical agency.

The average annual growth rate (AAGR) is the average rise or fall in the value of an investment asset, portfolio, or cash flow over a given time frame. By averaging out the provided year-over-year growth rates, the AAGR is calculated.

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Fraction times 7, the length of RTS is 84/7.

Length is a measure of how long an object is, or the distance between two points. It is a fundamental concept in physics, mathematics, and engineering. Length can be measured in a variety of ways, including inches, centimeters, feet, and meters. Length is an important factor when designing objects, as it can affect their usability, strength, and overall performance.

The shaded sector of the circle has an area of 27, which is equal to one-fourth of the entire circle. Therefore, the sector angle, RTS, is equal to one-fourth of the entire angle of the circle, which is 360 degrees. Therefore, the angle RTS is 90 degrees.

The ratio of the radius to the arc length for the sector is 1:2, which means the arc length of RTS is equal to twice the radius, or QR*. Therefore, the length of RTS is equal to 2 * QR = 12. Expressing this answer as a fraction times 7, the length of RTS is 84/7.

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Answer:

A circle centered at the origin (0,0) can be represented by the equation (x-0)^2 + (y-0)^2 = r^2, where r is the radius of the circle.

Given that the circle is passing through the point (6,0), we can use this point to find the radius of the circle. The distance between the center of the circle (0,0) and a point on the circle (6,0) is the radius of the circle.

We can use the distance formula to find the radius:

r = √((x2-x1)^2 + (y2-y1)^2)

where (x1,y1) is the center of the circle and (x2,y2) is a point on the circle.

Plugging in the values:

r = √((6-0)^2 + (0-0)^2) = √(6^2) = √36 = 6

Therefore, the equation of the circle centered at the origin and passing through the point (6,0) is (x-0)^2 + (y-0)^2 = r^2, where r is 6.

So the equation of the circle is: x^2 + y^2 = 36.

Answer:

the answer is in the picture

Given system of linear equations has No solutions i.e. D.

What are linear equations ?

A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant. A linear equation in two variables has the conventional form Ax + By = C. The variables x and y are variables, the coefficients A and B are coefficients, and the constant C is a constant.

As given

y=-3x-4

y=-3x  

      when we make a graph of these equations we can see that these are parallel lines and as parallel lines have no solution because they do not intersect at any point.

Hence, these equations have no solution.

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Answer:

We know that 37% of all college students were enrolled part time. If 5.9 millions college students were enrolled part time that year, we can use this information to find the total number of college students.

We know that the part-time enrollment percentage is represented by the ratio:

part-time students / total students = 37%

We can set up the equation:

5.9 million / x = 37/100

Where x represents the total number of students

To find the total number of students, we can cross-multiply and divide:

5.9 million * 100 = 37 * x

x = 5.9 million * 100 / 37

The total number of college students that year was:

x = 16,081,081

So the total number of college students that year was 16,081,081

Union of set A and B is {1, 9, 10, 12}

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.

The components from both sets A and B, or both sets together, make up the union of the two sets A and B. It is represented by the letter "U." For instance, if set A = 1, 2, 3, and set B = 4, 5, then A U B = 1, 2, 3, and 4, respectively. A U B is pronounced "A union B."

The set that contains every element of the supplied sets is the union of two or more sets. The symbol "U" can be used to represent a union of sets. Assume that X U  Y may be used to represent the union of two sets, X and Y.

Set A = {9, 10, 12}

Set B = {1, 9, 12}

Union of set A and B is {1, 9, 10, 12}

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Answer:

x=13

Base=25

Leg=21

Step-by-step explanation:

Firstly, since the triangle is an isosceles triangle, both legs measure the same. So we can write:
[tex]3x-18=21\\3x=39\\x=13[/tex]

With x being solved, we can substitute it into the leg and the base:

Base:

[tex]2(13)-1\\26-1\\25[/tex]

Leg (Since the other leg is 21, we can just conclude this leg to also be 21):

[tex]3(13)-18\\39-18\\21[/tex]

If it has any units, don't forget to put the correct unit measures.

Answer:

m∠m = 130

m∠n = 105

Step-by-step explanation:

Break the shape into 2 isosceles triangles.  Base angles of isosceles triangles are congruent.

m∠m = 130       sum of interior angles of a triangle = 180; 180 - 25 - 25 = 130

m∠n = 130 - 25 = 105

The true statement exists

2. <1 + <3 = 180 because form a straight angle.

3.  ∠3 ≅ ∠6 because they are alternate interior angles.

4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.

If two lines in a plane can be stretched indefinitely in both directions without coming to an intersection, they are said to be parallel.

If the equivalent angles generated when two lines are intersected by a transversal line are equal, the lines are parallel. Typically, the comparable angles are situated side by side and on the same transversal side.

If the alternate internal angles so created are equivalent, two lines sliced by a transversal line are considered parallel. The pairs of the alternate interior are often located on the inner side but are located on the opposing sides of the transversal.

1. <3 = <2 because of vertically opposite angle.

Therefore, it is false

2. <1 + <3 = 180 because form a straight angle.

Therefore, it exists true.

3.  ∠3 ≅ ∠6 because they are alternate interior angles.

Therefore, it exists true.

4. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180°.

Therefore, it exists true.

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A pair of or more monomials' GCF (greatest common factor) is the sum of all their prime factors that are shared.

Following are the steps we use to factor the GCF out of a polynomial:

The polynomial's GCF for each of its terms.

The GCF and another factor should be used to express each word.

To factor the GCF out, use the distributive property.

Let's factor the GCF using 2 x ³ - 6 x² cubed, and negative 6, x, squared.

First, locate the GCF.

2x³ = 2 . x . x . x

6x² = 2. x . x . x

So the GCF of 2x³ - 6x² is 2.x.x =2x²

Step 2: Summarize each term as the product of two.

2x³ = ( 2x² ) (x )

6x² = (2x ² ) ( 3 )

2x³ - 6x² = (2x²) (x) - (2x²) (3)

Take the GCF into account.

2x² (x) - 2x²(3) = 2x²(x - 3).

The Complete Question.

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Answer: Hopefully this helps you out!

Given:

   ABCD is a parallelogram, which means opposite sides are parallel and equal in length.

   E is the midpoint of BC, which means that BE = EC.

Prove:

   AFBE ADCE.

Proof:

   Since ABCD is a parallelogram, we know that AB // DC and AD = AB (opposite sides are equal in length)

   Since E is the midpoint of BC, we know that BE = EC (definition of midpoint)

   From the first step and second step, we know that AB = AD and BE = EC

   Therefore, we can say that AFBE and ADCE (by CPCTC)

Therefore, given that ABCD is a parallelogram and E is the midpoint of BC, we have been able to prove that AFBE ADCE.

Step-by-step explanation:

The length and breadth for the rectangular yarn will be length(y)=56 inch and breadth(x)=44 inch.

What is a rectangle?

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.

For example, if one side of a rectangle is 20 cm, then the side opposite to it is also 20 cm.

Perimeter of a Rectangle:-

The perimeter of a rectangle is defined as the total distance covered by the outer boundary of the rectangle. It is measured in unit length. The formula of perimeter is given by:

Perimeter, P = 2 (Length + Width)

Now,

As Perimeter {2(x + y)} = 200inch

and y-x=12inch

Hence,

x + y =100

y-x=12

adding both equations we get

y=56 inch and x=44inch

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Answer:24%

Step-by-step explanation:

The total money paid if 4 snacks are bought is $61

The total money paid if x snacks are bought is $45 + $4x

The form of the equation that represents the total money that Peyton would pay is:

Total money paid = total cost of the tickets + total cost of snacks

= (cost of one ticket x total ticket bought) + (cost of one snack x total number of snacks bought)

Total money paid if 4 snacks are bought = ($15 x 3) + (4 x 4)

= $45 + $16 = $61

Total money paid if x snacks are bought = ($15 x 3) + (4 x x)

= $45 + $4x

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The set of the expression (A ∪ B) ∩ (B ∩ C') is {2, 3, 6}.

What is set?

Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set.

Given that, U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {6, 8, 2}, B = {3, 2, 5, 6}, and C = {5, 1, 7}.

If U is a universal set and A be any subset of U then the complement of A is the set of all members of the universal set U which are not the elements of A.

So, complement of set C is C'={2, 3, 4, 6, 8}

Now, (A ∪ B) ∩ (B ∩ C')

= ({6, 8, 2}∪{3, 2, 5, 6}) ∩ ({3, 2, 5, 6}∩{2, 3, 4, 6, 8})

= {2, 3, 5, 6, 8} ∩ {2, 3, 6}

= {2, 3, 6}

Therefore, the set of the expression (A ∪ B) ∩ (B ∩ C') is {2, 3, 6}.

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"Your question is incomplete, probably the complete question/missing part is:"

Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {6, 8, 2}, B = {3, 2, 5, 6}, and C = {5, 1, 7}. Find the following.

(A ∪ B) ∩ (B ∩ C').

Answer: 5x - 3

Step-by-step explanation:

10x² - 6x = 2x(5x - 3)

2x(5x-3)/2x = 5x - 3

Cheers

Answer:

it’s 4

Step-by-step explanation:

4*4*4=64