what is the midpoint of 7.089 and 7 9/100

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Step-by-step explanation:

144° + m5 = 180°

m5 = 180° - 144°

m5 = 36°

m5 + 56° + m4 = 180°

m4 = 180° - 56° - 36°

m4 = 88°

m3 + 56° = 180°

m3 = 180° - 56°

m3 = 124°

since the 2 horizontal lines are parallel:

m1 = m5 = 36°

m2 = 56°

The dimensions of the painting excluding the frame is 12 feet width and 15 feet length.

Let the width be w. So, length of painting will be (w+3) ft. As we know, 12 inche is 1 foot. So, total width of picture and frame will be (w+1) and length will be (w+3+1) ft.

The area will be the product of length and breadth. Keep the values to get dimension of w.

(w+1) × (w+4) = 208

Performing multiplication

w² + 4w + w + 4 = 208

Performing addition

w² + 5w = 208 - 4

Performing subtraction

w² + 5w - 204 = 0

Factorising the equation

w² + 17w - 12w - 204 = 0

w(w + 17) -12(w + 17) = 0

w = 12, -17

Width can not be negative, hence it will be 12 ft.

Length of painting = 12 + 3

Length of painting = 15 ft

Thus, length and width are 12 and 15 ft.

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Answer:

31°

Step-by-step explanation:

We know the measure of a straight line is 180° . And therefore the measure of the given two co linear angles would be 180° . So ,

[tex]\implies \rm 5x-16 +x +10=180\\ [/tex]

[tex]\implies \rm 6x -6 =180\\ [/tex]

[tex]\implies \rm 6x = 180+6 = 186\\ [/tex]

[tex]\implies \rm x =\frac{186}{6}= 31^o[/tex]

And we are done

The area of the chalkboard is 1.53 m^2 (option A)

The area of a rectangle is found by multiplying the length by the width.

So, the area of the chalkboard is 1.7 m * 0.9 m = 1.53 m^2.

Therefore, The area of the chalkboard is 1.53 m^2 (option A)

The area of a rectangle is a measure of the amount of space inside the rectangle. It is calculated by multiplying the length of the rectangle by its width. The formula for finding the area of a rectangle is:

Area = Length x Width

For example, if a rectangle has a length of 4 meters and a width of 2 meters, the area of the rectangle would be 4 x 2 = 8 square meters.

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a+b+c=11, so number of solutions is (n + r - 1) choose (r - 1), n=11, r = 3, you get (11 + 3-1) choose (3-1) , or 13 choose 2 = 78.

There are 78 solutions.

Consider the pair of linear equations in two variables x and y.

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.

2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables

3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.

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Variability assigns to how "spread out" a group of scores is.

Range: The range is the easy measure of variability to calculate, and one you have probably experienced many times in your life. The range is simply the highest score minus the lowest score.

Let us take an example. What is the range of the following group of numbers: 10, 2, 4, 5, 8, 3, 4? Well, among these numbers 10 is the highest, and the lowest number is 2, so 10 - 2 = 8. So, the range is 8.

Interquartile Range: It (IQR) is the range of the middle 50% of the scores in a dispatch.

Variance: Variability can also be defined in terms of how close the scores in the distribution are to the middle of the distribution.

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The factored form of the given polynomial 8x² + 12x is 4x( 2x + 3).

Given is a binomial 8x² + 12x. The factored form of a polynomial can be acquired by taking out the common factor.

Step 1: Find the numerical factors that could be carried out in common. 8 and 12 are the coefficients, and their greatest common divisor is 4.

8x² + 12x = 4(2x² + 3x)

Step 2: Carry out the variables that are encountered in common. Here we have x common in both terms. Taking x out, we get, 

8x² + 12x = 4x(2x + 3)

Hence the factored form of the given polynomial 8x² + 12x is 4x( 2x + 3).

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The requried solution of the given equation is x =2 and y = 3.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

Given equation,

-x + 6y = 16  - - - - - - (1)
8x -6y = -2   - - - - - - -(2)

Adding equation 1 and 2,
8x - x + 6y - 6y = 16 -2
7x = 14
x = 2

Now,
-2 + 6y = 16
y = 3

Thus, the requried solution of the given equation is x =2 and y = 3.

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The total price of the flower bouquet and box of chocolates that the customer bought after a 20% discount and including 8.25% tax is $46.80.

The original cost of the flower bouquet and box of chocolates that the customer bought was $36 + $18 = $54. The customer then used a 20% off coupon, reducing the cost to $54 - ($54 * 20%) = $43.20. This new total was then subject to an 8.25% tax, which added $43.20 * 8.25% = $3.58 to the final cost. The final price of the items, including both the discount and tax, was $43.20 + $3.58 = $46.80.

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A line segment whose endpoints lie on the circle is called a chord.

A line segment whose ends are on a circle is said to be a circle's chord. A chord that passes across the center of a circle is its diameter. A tangent to a circle is a line that crosses a circle at a single precise location.

A circle is a 2-dimensional form that is made up of an unlimited number of points that are evenly spaced apart from one another.

The circle's center refers to this centralized location.

A chord is any line segment that connects two locations on the circle's circumference. A diameter is a chord that runs through the center of a circle. Therefore, diameter is a unique class of chord.

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You can use three triangle-specific theorems to quickly distinguish between similar triangles.Therefore, Option (2) ASA will be the answer.

You can use three triangle-specific theorems to quickly distinguish between similar triangles.These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for identifying triangle similarity.You can use three triangle-specific theorems to quickly distinguish between similar triangles.These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for identifying triangle similarity.

Option. (2) ASA

From the triangles ΔQTU and ΔRSU in the figure attached,

 Statements            Reasons

1). QS ⊥ QT                     Given

2). RT ⊥ RS                     Given

3). Qu ≅ RU                    Given

4). ∠Q ≅ ∠R                   All right angles are congruent

5). ∠QUT ≅ ∠RUS         Vertical angle theorem

6). ΔQTU ≅ ΔRSU          ASA property

As a result, the solution will be Option (2) ASA.

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We consider two lines as parallel if they never intersect. Many theorems are employed to determine if two lines are parallel to one another or not.

Parallel lines are two lines that never cross one another while being in the same plane. No parallel line, no matter how far we extend it, will ever cross another parallel line. They are both evenly spaced apart and inclined.

Parallel lines are straight lines that are always spaced equally apart from one another. Any two lines are considered to be parallel if the corresponding angles they produce are equal. Any two lines are regarded as parallel if the alternate internal angles they produce are equal.

If the opposite exterior angles that two lines produce are equal, then those two lines are said to be parallel. If the successive interior angles on the same side of the transversal are supplementary, any two lines are said to be parallel.

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Using Basic proportionality theorem, the value of x is 6.

The other two sides of a triangle are divided in the same ratio if a line drawn parallel to one side of a triangle intersects the other two sides at distinct spots.

The fundamental proportionality theorem aids in determining the lengths at which a line parallel to the third side divides the two sides of a triangle. It can also be used to determine how two equiangular triangles relate to one another.

By basic proportionality theorem,

⇒ 5 / 17 = 2x + 3 / 10x - 9

Now, Cross multiplying,

⇒ 5(10x - 9) = 17(2x + 3)

⇒ 50 x - 45 = 34x + 51

⇒ 16 x = 96

⇒ x = 6

So, the sides of triangle are -

2x + 3 = 2(6) + 3 = 15

10x - 9 = 10(6) - 9 = 51

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4 is the slope of the linear relationship. Thus, correct option is: c

An indication as to how sharp a line is its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

The ratio of the increase in elevation between two places to the run in elevation between those same two points is referred to as the slope.

Slope-related equations The "change in y" over the "change in x" of a line is referred to as the slope. By dividing (y₂ - y₁) over (x₂ - x₁) and choosing two locations on the line (x₁, y₁) and (x₂, y₂), you can get the slope.

A linear relationship is given in the table.

According to the data of the table,

x: -2  -1  0  1  2

y:  -13  -9  -5  -1  3

now, slope = (y₂ - y₁) / (x₂ - x₁)

slope = {-9 -(-13)} / {-1 -(-2)}

slope = 4

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Answer:

isosceles triangle

Step-by-step explanation:

Answer:

Isosceles triangle

Step-by-step explanation:

A scalene triangle is a triangle with no lines of symmetry while an isosceles triangle has at least one line of symmetry and an equilateral triangle has three lines of symmetry.

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Therefore , following a 180° counterclockwise rotation, the triangle's coordinates are P' (-3, 2), Q' (-8, 2), and R' ( -5 , 5 )

The rotational angle is a unit used to describe how much a figure is spun about its center. In most cases, the rotational angle is expressed in degrees. We define a rotation's degree measurement and direction.

Here,

rotation in the direction of 90°: (x,y) becomes (y,-x)

rotation of (x,y) at 90 degrees counterclockwise results in (-y,x)

Rotating (x, y) 180 degrees both clockwise and counterclockwise results in (-x,-y)

Rotating (x,y) in a 270° clockwise direction (-y,x)

rotated 270 degrees counterclockwise, (x,y) becomes (y,-x)

given the data,

Let A be a representation of the rotation angle.

A now has the value of A = 180° in the counterclockwise direction.

Let's use PQR to depict the triangle.

Now, the triangle PQR's coordinates are

P is the coordinate for P. ( 3 , -2 )

Q = Q is the coordinate of ( 8 , -2 )

R is the coordinate for R. ( 5 , -5 )

Additionally, the following results from a 180° round and counterclockwise rotation (-x,-y)

The result of changing the values inside the equation is

P' = P' is the coordinates of point P' ( -3 , 2 )

The point Q"s coordinate is Q' ( -8 , 2 )

The point's coordinates are R' = R' ( -5 , 5 )

Consequently, the triangle's coordinates following rotation are

P' ( -3 , 2 ) , Q' ( -8 , 2 ) , R' ( -5 , 5 ) ( -5 , 5 )

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Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory.

An inconsistent pair of linear equations is a system of linear equations that has no solution.

Furthermore, a linear equation with two variables has an unlimited number of solutions. Every linear equation in two variables has a straight line as its graph, and each point on the graph (straight line) indicates a solution to the linear equation.

The majority of linear systems have precisely one solution. It is feasible, however, that there are no answers or that there are infinitely many. (It is impossible for there to be exactly two answers.)

In this case, the word unique denotes that there is a solution, and it is the only one.

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The inequality 2x > 0 is true for all values of x greater than 0.

An inequality is a statement that compares the relative size or value of two mathematical expressions. It is used to indicate a relationship of being greater than, less than, greater than, or equal to, or less than or equal to.

There are two types of inequalities, strict inequalities, and non-strict inequalities. This is because when x is greater than 0, multiplying it by 2 will result in a value that is also greater than 0.

On the other hand, when x is less than 0, multiplying it by 2 will result in a negative value, which will not be greater than 0.

Therefore, the inequality 2x > 0 is true for x > 0.

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The quotient of x³ - 3x² + 3x - 2 divided by x² - x + 1 is x - 2.

The given polynomial is x³ - 3x² + 3x - 2.

First we choose a term to multiply with the first term of the divisor such that we get the first term of the polynomial:

(x^2) (x) = x^3

Thus, we multiply the divisor (x² - x + 1) by x which gives x^3 - x^2 + x

Now we subtract this from the polynomial which gives -2x^2 + 2x - 2.

Repeating the same we multiply the divisor by -2 which gives

-2x^2 + 2x -2. Subtracting the same from -2x^2 + 2x - 2, we get the remainder 0.

Thus, we get the quotient as x - 2.

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While changing the weights of the samples in an adaboost model, the  statement that is correct is c) the alpha can be both positive or negative

In an AdaBoost model, alpha is a hyperparameter that is used to adjust the weights of the samples. The weight of a sample is increased if it is incorrectly classified by the previous weak learner

(b) is incorrect. The weight of a sample is decreased if it is incorrectly classified by the previous weak learner

(a) is also incorrect. The alpha can be both positive or negative which means it can be used to increase or decrease the weight of the samples. The alpha cannot be negative (d) is also incorrect.

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Answer:

angle 1: 120

Step-by-step explanation:

angle 1:

5x-5

5(25)-5 =120

Kamlu will have two chances to catch the apple.

Kamlu's friend is standing directly below her on the ground and tossing her an apple from five feet above the ground.

The apple is released with an initial velocity of 28 feet per second.

Since Kamlu's hands are 14 feet above the ground, the apple will have two chances to reach her. The first chance will be when the apple reaches her hands at 14 feet above the ground, and the second chance will be when the apple reaches the ground after falling from the initial velocity of 28 feet per second.

The time it takes for the apple to reach her hands and the ground will depend on the acceleration due to gravity.

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Answer: Since EFG and DEF are congruent, angle HED and angle HDG are corresponding angles. In a rhombus, opposite angles are congruent, so angle HDG is also 20 degrees.

Step-by-step explanation:

When the polynomial 2x³-3x²+4x+7 is divided by x+3, the remainder is -86.

The given polynomial is 2x³ - 3x² + 4x + 7.

First we choose a term to multiply with the first term of the divisor such that we get the first term of the polynomial:

(x)(2x^2) = 2x^3

Thus, we multiply the divisor (x+3) by 2x^2 which gives 2x^3 + 6x^2

Now we subtract this from the polynomial which gives -9x^2 + 4x + 7.

In the same way we multiply the divisor by -9x which gives -9x^2 - 27x. Subtracting the same from -9x^2 + 4x + 7we get 31x + 7.

Now we multiply the divisor with 31 which gives 31x + 93. Subtracting it from the remaining polynomial 31x + 7 leaves the remainder -86.

The question is incomplete, the complete question is:

When the polynomial 2x³ - 3x² + 4x + 7 is divided by x + 3 The remainder is?

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Answer: The perimeter of a rectangle is the sum of all four sides. If the perimeter of the rectangle is 48 cm, that means that the sum of the length and width of the rectangle, multiplied by 2, is equal to 48.

Given that the length is 8 more than 3 times the width, we can set up the following equation:

length = 3 * width + 8

We can also use the area formula, which states that the area of a rectangle is equal to the product of the length and width. Let's call the width "w" and the length "l".

area = l * w

We can substitute the equation for length into the area equation:

area = (3w + 8) * w

We know the area of the rectangle, so we can substitute that in too:

area = (3w + 8) * w = 48

To find the width and length, we need to solve this equation for "w" and then substitute "w" back into the equation for "length". This will give us the width and length of the rectangle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

With the help of an interest rate, you can determine how much borrowing will cost you and how much saving will yield.

In relation to the amount lent, deposited, or borrowed, the amount of interest due each period is expressed as an interest rate. The amount lent or borrowed, as well as the interest rate, frequency of compounding, and the period of time during which it is lent, deposited, or borrowed, all affect how much interest will be charged overall.

An interest rate informs you of how much borrowing will cost you and how much saving will pay off. Therefore, the interest rate is the amount you pay for borrowing money and is expressed as a percentage of the entire loan amount if you are a borrower.

The cost of borrowing money is expressed as an interest rate. It represents a percentage of the overall amount borrowed during the given period of time.

First, convert R as a percent to r as a decimal

r = R / 100

r = 2 .1  / 100

r = 0.021 per year

Then, solve the equation for t

[tex]$& \mathrm{t}=\ln (\mathrm{A} / \mathrm{P}) / \mathrm{n}[\ln (1+\mathrm{r} / \mathrm{n})] \\[/tex]

[tex]& \mathrm{t}=\ln (54,200 / 39,000.00) /(365 \times[\ln (1+ 0.021 / 365)])[/tex]

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Using proportions, the amounts needed of brown and green material for 52 gallons of compost are given as follows:

Brown material: 36 gallons.

Green material: 12 gallons.

A proportion is a fraction of a total amount, and in problems involving it, basic arithmetic operations such as multiplication or division are used along with the unit rates to find the equivalent measures.

On the first column of the table, the total amount is:

⇒ 12.75 + 4.25 = 17 gallons.

So, The fractions of each material are given as follows:

Brown material: 12.75/17 = 0.75

Green material: 4.25/17 = 0.22.

Hence the amount of brown material needed with 48 gallons is:

⇒ 0.75 x 48 = 36 gallons.

And, The amount of green material needed with 48 gallons is:

⇒ 0.25 x 48 = 12 gallons.

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