10 POINTS. Answer please.

Answer: The width of the room is 36 feet and the length of the room is 48 feet.

Step-by-step explanation:

To solve this problem using elimination, you can set up a system of equations to represent the information given in the problem.

Let w be the width of the room, and let l be the length of the room. We are told that the length of the room is 12 feet longer than its width, so we can set up the equation:

l = w + 12

We are also told that half the perimeter of the rectangular floor is 72 feet. The perimeter of a rectangle is given by the formula:

Perimeter = 2 * (length + width)

Since half the perimeter is 72 feet, the full perimeter is 2 * 72 = 144 feet. Substituting the equation for the length of the room, we get:

144 = 2 * (w + 12 + w)

Combining like terms and solving for w, we get:

w = 36

Substituting this value back into the equation for the length of the room, we get:

l = 36 + 12 = 48

Therefore, the width of the room is 36 feet and the length of the room is 48 feet.

To solve this problem using substitution, we could start by solving for the width of the room in one of the equations, and then substituting that value into the other equation to solve for the length of the room.

For example, we could solve the equation l = w + 12 for w to get:

w = l - 12

Substituting this expression for w into the equation for the perimeter, we get:

144 = 2 * (l - 12 + l)

Combining like terms and solving for l, we get:

l = 48

Substituting this value back into the equation for the width of the room, we get:

w = 48 - 12 = 36

Therefore, the width of the room is 36 feet and the length of the room is 48 feet.

The value of a and b are respectively 15 and 17 respectively.

What are trigonometry ratios?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Given that csc θ = 17/8 and cos θ = a/b.

The reciprocal of sin θ is csc θ.

Therefore,

1/sinθ = 17/8

or, sin θ = 8 /17

Applying the trigonometry identity cos²θ = 1- sin²θ

cos²θ = 1- (8/17)²

cos²θ = 1- 64/289

cos²θ = 225/289

cos θ = 15/17

The value of a is 15 and the value of b is 17.

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The required perimeter of the new rectangle is 66 inches.

A quadrilateral with all of its angles equal, or right angles, is a rectangle.

In addition to having all equal angles, a square also has all equal sides.

Therefore, a particular case of a square is a rectangle.

To put it another way, a rectangle can also be a square (when all sides to are equal).

Because every square is a quadrilateral with all four angles at right angles, every square is also a rectangle.

To be a square, a rectangle's sides must all be the same length, hence not all rectangles are squares.

So, a perimeter equals 2(l+b).

50 is the circumference and 17 is the length here.

Suppose the breadth is x.

50 = 2(17+x)

50 = (2*17)+(2*x)

50 = 34 + 2x

50 - 34 = 2x

16 = 2x

16/2 = x

8 = x

The first triangle's width is eight inches.

We know that the length of the other rectangle is 17.

And that the width is two times that of the first triangle.

Length = 17, width = 2*8 = 16, etc.

For the border:

p = 2(l+b)

p =  2(17+16)

p =  (2*17)+(2*16)

p =   34+32

p  =   66

Therefore, the required perimeter of the new rectangle is 66 inches.

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Complete question:

Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches. He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle?

Answer:

Since she already has $565, her goal is $665.

5 × 20 = 100

w = 20 weeks

The closest number to the circumference of the circle is 157 feet.

What is circumference?

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more generally referred to as the perimeter.

Given:

Kate bought a circular swimming pool with a diameter of 50 feet.

We have to find the closest number to the circumference of the circle.

Since,

Circumference = 2πr

where r is the radius of circle.

Here diameter of circle = 50 feet.

⇒ Radius of circle = 25 feet.

⇒ Circumference = 2*π*25 = 157.08

Hence, the closest number to the circumference of the circle is

157 feet.

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The degree of polynomial is 2 and leading coefficient is 3.

A polynomial is a mathematical expression made up of one or more terms. The phrases "poly" and "nominal," for example, are whence the name "polynomial" arose. The words "poly" and "nominal" both signify many. A polynomial is an algebraic expression with two or more algebraic terms, to put it simply. It has exponents, operators, coefficients, coefficients, variables, and constants.

Given polynomials 9, 3x², 8x

standard form of polynomial;  The value of the largest exponent in a polynomial is known as its degree. However, it differs between a polynomial with just one variable and one with multiple variables. The degree of a polynomial for a single variable is equal to the variable's highest power in the polynomial.

the standard form is 3x², 8x, 9

degree of polynomial is 2.

and leading coefficient is the constant term followed by the variables with highest power,

LC = 3.

Hence degree = 2 and leading coefficient = 3.

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Answer:88

Step-by-step explanation:

The length of OP to the nearest tenth of a foot is 16.9 ft

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

ΔOPQ is right triangle

 Tan (p) = opposite/adjacent = OQ/PQ

Tan (76) =  OQ/4.1

4.010 = OQ/4.1

OQ = 4.010 * 4.1 = 16.441

OP² = OQ² + PQ² = 16.441 ² + 4.1² = 287.116

=> OP = √ 287.116 = 16.944

OP≅ 16.9 ft

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Answer:

i am not to sure but if i am corroct it IS polynomial

Step-by-step explanation:

hope this helps

Relief refers to the highest and lowest point elevation in an area.

Relief

Relief is the term used for the differences in height from place to place on the land’s surface and it is greatly affected by the underlying geology. Relief relies on the hardness, permeability and structure of a rock.

elevation

The elevation of a geographic location is its height above or below a fixed reference point, most commonly a reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface.

geology

Geology describes the structure of the Earth on and beneath its surface, and the processes that have shaped that structure. It also provides tools to determine the relative and absolute ages of rocks found in a given location, and also to describe the histories of those rocks.

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Answer: Relief

Step-by-step explanation:

Relief refers to the highest and lowest point elevation in an area.

Slope is the measure of steepness

Topography refers to the arrangement of the land in an area

Elevation on the other hand is the distance above sea level

The solution is given by the equation A = how many diet sodas there are in the fridge compared to how many regular sodas

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

The ratio of cows to pigs on a farm could be 1 to 3

So , the proportion is 1 : 3

Now , The ratio of chocolate chips to raisins in a cookie could be 5 to 9

So , the proportion is 5 : 9

Now , the number of diet sodas there are in the fridge compared to number of regular sodas is also a proportion

Hence , the proportion is number of diet sodas to number of regular sodas

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Using a graph, the orthocenter for this triangle has a coordinate at (x, y) are (-0.46, 0.2)

The intersection of a triangle's three elevations is called the orthocenter. It is the intersection of the three lines that run perpendicular to the triangle's three sides. Due to its several intriguing characteristics, the orthocenter is a crucial place in the study of triangles..

In this problem, we need to use a graphing calculator and plot each of the coordinates and then find the orthocenter which is an equidistant position from all the coordinates.

In this particular problem, the orthocenter for this triangle is (-0.46, 0.2)

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Answer:

Mark angles C and F as congruent.

Step-by-step explanation:

Angle-Angle-Side (AAS) Congruence Theorem

If any two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

The given triangles have one corresponding angle and one corresponding side marked as congruent.  

To satisfy AAS congruency, another pair of corresponding angles need to be marked as congruent.  

As an included side is the side between two angles, we cannot mark angles A and P as congruent, as this would not satisfy AAS congruency since sides AB and PD would be the included sides.  

Therefore, to make triangle ABC congruent to triangle PDF by AAS, mark angles C and F as congruent.

The volume of the triangular prism is 120 cm cube.

A triangular prism  is a three-sided prism.  The volume of a triangular prism can be represented as follows:

volume of a triangular prism = 1 / 2 bhl

where

Therefore,

b = 10 cm

h = 12 cm

l = 6 cm

Therefore,

volume of a triangular prism = 1 / 2 × 10 × 12 × 6

volume of a triangular prism = 1 / 2 × 120 × 6

volume of a triangular prism = 60 × 6

volume of a triangular prism = 120 cm³

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Given equation 3 = 3 is an identity, so it has infinite solutions.

Consider the given mathematical equation 3 = 3

We need to check whether the given mathematical equation has solution or not.

We know that a statement 3 = 3 's true no matter what.

We can observe that for given statement 3 = 3, there's no variable in sight.

This means, 3 = 3 must has infinite solutions.

We know that an equation which is always true, no matter what values we substituted is called as an identity.

This equation is an identity, all real numbers are solutions.

Therefore, the equation 3 = 3 have infinitely many solutions.

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To compute the sum of dollar amounts that are not whole numbers and to compute products of dollar amounts that are not whole numbers you can use the standard arithmetic operation and place decimal point correctly.

To compute the sum of dollar amounts that are not whole numbers, such as $5.89 and $1.45, you can use the standard arithmetic operations of addition, just like you would with whole numbers.

$5.89 + $1.45 = $7.34

When adding or subtracting decimal numbers, you align the decimal points and perform the operation column by column, just like you would with whole numbers.

To compute products of dollar amounts that are not whole numbers, such as 4 pounds of beef at $5.89 per pound, you can use the standard arithmetic operation of multiplication.

4 × $5.89 = $23.56

When multiplying decimal numbers, you multiply as you would with whole numbers and place the decimal point in the product to the right of the last digit in the product that corresponds to the number of decimal places in the original factors.

In both examples, it is important to pay attention to the placement of the decimal point and to use proper arithmetic operations. In general, it is important to consider the decimal places when working with decimal numbers and ensure that the final result is rounded to the appropriate number of decimal places, if necessary.

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Answer:

x=0 and y=36

Step-by-step explanation:

30 + 6 equals 36 but it is negative so you would add 30 to negative thirty to get to zero and go into the positive numbers. So if you add 6 more you would have positive 6. so it it 36 y is 36

Answer:

See below

Step-by-step explanation:

Anything that makes the equation true works. For example, you can use the x-intercept (5,0) or the y-intercept (0,-1).

a. The ratio of rows of corn to beans is 13 : 12 or 13/12 or 13 to 12.

b. The ratio of rows of lettuce to the total number of rows in the garden is 5 : 52 or 5 to 52 or 5/52.

a. The ratio using the word 'to' is corn to beans.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

We know a ratio between a and b can be written as a : b, a/b or a to b.

From the given information the ratio of rows of corn to beans is,

corn/beans = 13/12 Or 13 : 12 Or 13 to 12.

The ratio of rows of lettuce to the total number of rows in the garden is,

lettuce/total number of rows in the garden = 5/52 Or 5 : 52 Or 5 to 52.

The ratio using the word 'to' is corn to beans.

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Answer:

6

Step-by-step explanation:

x² + 8² = 10²

x² + 64 = 100

x² = 36

x = 6

To rewrite the inequalities in slope-intercept form, the student would first need to solve for y.

2x + 3y > 6 can be rewritten as 3y > -2x + 6 and then solving for y by dividing both sides by 3, the student can have y > (-2/3)x + 2

x-4y > 8 can be rewritten as -4y > -x + 8, and then solving for y by dividing both sides by -4 , the student can have y < (1/4)x - 2

To graph the inequalities, the student would plot the y-intercepts of the equations, which are (0,2) and (0,-2) and then use the slope to find a second point to plot, and then graph the line. Then, based on the inequality symbol the student should shade the appropriate side of the line. If the inequality is greater than > or less than < then they shade one side, otherwise if the inequality is less than or equal to >= or greater than or equal to <= they shade both sides.

It's also important to remember that the slope intercept form is y=mx+b where m is the slope, and b is the y-intercept, if the student already has the equation in this form, they only need to plot the y-intercept point and use the slope to get a second point.

Answer:

k\

Step-by-step explanation:

j

The 4 ways to solve a problem are understanding the problem, devising a plan, carrying out the plan, look back.

A problem is any type of disruption from normality that is impeding progress. A problem can be time-consuming and requires too much energy to solve it.

Polya created his famous four-step process for problem-solving, which is used all over to aid people in problem-solving:

Step 1. Understand the problem.

x = a number

Step 2. Devise a plan (translate).

Twice the difference between a number and 1 is equal to 4 more than that number

Step 3. Carry out the plan (solve).

2(x - 1) = (x + 4)

2x - 2 = x + 4

2x - 2 - x = x + 4 - x

x - 2 + 2 = 4 + 2

x = 6

Step 4. Look back (check and interpret).

If we take twice the difference of 6 and 1, that is the same as 4 more than 6. Thus the final answer is 6.

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The classification of the transformations based on the properties are presented as follows;

[tex]\begin{array}{|c|c|c|} & \mathbf{Preserves \ length} & \mathbf{Does \ not \ preserve \ lengths} \\\mathbf{Preserves \ angle \ measure} & Reflection\ Rotation &Translation \ followed \ by \ dilation \\&&Dilation \ with \ K > 1\\\mathbf{Does \ not \ preserve \ angle \ meas} & & \\\end{matrix}[/tex]

The transformations that preserves the lengths of the original figure or pre-image and also preserves the angle measure is a rigid transformation.

Rigid transformations includes; Reflections, rotations, and translations

Transformations that preserves the angle of measure but in which the lengths of the preimage is not preserved are non-rigid transformations

Non rigid transformations includes; Dilation with a scale factor

Transformations that does not preserve the angle measure includes; Shear transformation

A translation and a dilation transformation does not preserve the lengths of the original figure.

The classification of the transformations based on their properties are therefore presented as follows;

[tex]{}[/tex]                               Preserves lengths      Does not preserve lengths

Preserves               Reflection              [tex]{}[/tex]    Translation followed by dilation

angle measure       Rotation                   [tex]{}[/tex]  with k > 1

                                                          [tex]{}[/tex]        Dilation with k > 1

Does not              

Preserve angle

measure

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For example, if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 6}, then x=6>5=y, but if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 7}, then x=6=y. not sufficient.

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Complete question is: If the ranges of values = 40 and the number of sets = 10 , then what will be the length of set ?

From the equation (2-3 x 2⁹ = 2n), the value of n is -767.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized.

The word equation and its cognates in various languages may have slightly different meanings. In mathematics, an equation is a formula that uses the equals sign to denote the equality of two expressions.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Given data :

2-3 x 2⁹ = 2n

= 2n = 2 - 3 .

= 3 .   = 1536

= 2n = 2 - 1536

= 2n = -1534

Divide both sides by 2

= 2n/2

= -1534/2

n = -767

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The bearing of point Y from point Z is 30 degrees.

What is the bearing of a point?

The bearing of a point is the angle measured in degrees clockwise from a reference direction (usually north). To find the bearing of point Y from point Z, we need to determine the angle between the line connecting point Z to point Y and the reference direction.

we know that the bearing of point X from point Z is 135 degrees, and the bearing of point X from point Y is 105 degrees.

we can use the following mathematical relationship to find the bearing of point Y from point Z:

Bearing of Y from Z = (Bearing of X from Z) - (Bearing of X from Y)

Substituting the values we know:

Bearing of Y from Z = 135 - 105 = 30 degrees

Hence, the bearing of point Y from point Z is 30 degrees.

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On solving the provided question, we can say that the e slope of the linear regression prediction equation if a person with 12 years of schooling is 1.

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable. The procedure is known as multiple linear regression if there are numerous. A straight line is used to evaluate the relationship between the independent and dependent variables in a regression model known as simple linear regression. Both factors ought to be quantitative. The effect of the independent variable on the dependent variable is examined using simple linear regression. The second scenario, known as multiple linear regression, examines how various independent factors affect the dependent variable.

the e slope of the linear regression prediction equation if a person with 12 years of schooling

a. 1(correct)

b. 12

c. 13

d. 1,500

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