A bicycle wheel has a radius of 28 cm. what is the circumference of the wheel?
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Yes, it is possible to draw a triangle the length of whose sides are 2.5 cm 4.2 cm 8 cm.

The possibility to draw a triangle from mentioned three sides can be checked through SSS or side-side-side rule of triangle. It states that sum of any two sides should be greater than third side of the triangle. Assuming 2.5 cm to be side a, 4.2 and 8 cm to be side b and c respectively.

Side a + side b > side c

2.5 + 4.2 > 8

Add the values

6.7 not greater than 8

Side b + side c > side a

4.2 + 8 > 2

Add the values

12.2 > 2.5

side c + side a > side b

8 + 2.5 > 4.2

Add the values

10.5 > 4.2

As we see, that two cases show sum to be greater than third side. Thus, triangle can be drawn.

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The value of expression 9x for x= 2 is 18.

what are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

Given expression = 9x

For x=2

Value of expression=9*2

=18

Hence,

          After evaluating 9x for x=2 value will be 18.

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The first step in solving the quadratic equation is subtracting 8 from both sides.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

5x² + 8 = 133

Subtract 8 into both sides.

5x² = 133 - 8

5x² = 125

Divide both sides by 5.

x² = 125/5

x² = 25

x = √25

x = 5

Thus,

The root of the equation is 5.

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R's positive value is [tex]\sqrt{\frac{v}{\pi h} }[/tex]  V =r²h in terms of h is the formula used to calculate the volume of a cylinder.

The object's capacity is another name for it. The basic formula for volume is length, width, and height, as opposed to the basic formula for the area of a rectangular shape, which is length, breadth, and height. No matter how you refer to the various dimensions, the calculation remains the same. For instance, you can use "depth" instead of "height." The capacity of an object is expressed in terms of volume. A cup's capacity is said to be 100 ml, for instance, if it can hold 100 ml of water in its brim. The quantity of space a three-dimensional item takes up can also be referred to as volume.

given

Cylinder(volume )'s is equal to  = [tex]\pi r^{2}h[/tex]

where r = radius, h = height, and v = volume of the cylinder

⇒  [tex]r^{2} = \frac{v}{\pi h}[/tex]

⇒ ±r  = [tex]\sqrt{\frac{v}{\pi h} }[/tex]

The problem states that only the positive value of r is necessary.

So, r =  [tex]\sqrt{\frac{v}{\pi h} }[/tex]

R's positive value is [tex]\sqrt{\frac{v}{\pi h} }[/tex]  V =r²h in terms of h is the formula used to calculate the volume of a cylinder.

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Answer:

A. The domain should be all reals.

B. The range is y≤1 if the function is |x-2|+1.

C. It's a function.

If you get this wrong then my bad

Factor of scale (Dilation) Factor of scale (Dilation) How much larger or smaller the image will be depends on the scale factor in the dilation of a mathematical entity (compared to the original object).

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The difference between the y coordinates  and the difference between the x coordinates then divide them

Gradient is a differential operator used in mathematics to transform a three-dimensional vector-valued function into a vector whose three elements are the partial derivatives of the function with respect to its three variables. The gradient sign is  ∇

As a result, f = ifx + jfy + kfz, where fx, fy, and fz are the first partial derivatives of f and I j, and k are the unit vectors of the vector space, is the gradient of a function, also known as grad f or f. f is the direction of the heat-flow vector in a temperature field, where f is a temperature field in physics that indicates the temperature at every point in a space.

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So on solving the provided question we can say  that  the importance of roots of polynomial equation because as the roots are the core of it. it helps in forming of that polynomial

A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.

here,

the importance of roots of polynomial equation because as the roots are the core of it. it helps in forming of that polynomial

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The linear equation to represent the value of the car in terms of the year will be c = 64000 - 5000y

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

In this situation, the upfront cost of a Porsche is 64K and at the end of 12 Years, the car is worth only $4000.

The difference in amount will be:

= $64000 - $4000

= $60000

Number of years = 12

Amount in depreciation per year = $60000 / 12

= $5000 per year

The linear equation to represent the value of the car in terms of the year will be:

c = 64000 - 5000y

where c = value

y = number of years

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Answer:x=35/2 or 17.5

Step-by-step explanation:

x + .2x = 21

1.2x = 21

1.2x/1.2 = 21/1.2

x = 17.5

answer a i just did it

Step-by-step explanation:

the unit price of the cheddar cheese is $0.15.

Division is the process of splitting a number or an amount into equal parts.

here, we have,

Hector paid $2.70 for a package of cheddar cheese slices.

There are 18 slices in the package.

i.e. the unit price of the cheddar cheese = $2.70/18

                                                                    =$0.15

hence, the unit price of the cheddar cheese is $0.15.

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The constraint to make the statement true is -A< -B: Option C

A Constraint is a situation when an individual is limited or restricted to carry out an activity. It can also be seen as strictness or inhibition in relation to a variable

In most organizations, project managers are faced with constraints when they want to carry out an activity. Most of these constraints are external and out of the project manager's control.

Based on that if A<B, then - A < -B and this makes the constraint true.

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The value of q, based on the equation given, can be found to be - 1 / 6

To find q, you need to collect like terms on the correct side of the equation to be able to solve for q.

When given the equation,

1 / 2 = q + 2 / 3

You collect like terms to be:

q = 1 / 2 - 2 / 3

q = ( 3 - 4 ) / 6

q = - 1 / 6

In conclusion, the value of q is - 1 / 6.

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The median would be the best representation of the typical value or behavior of the data set for "Ages of college students".

The median is the value in the center of a data collection, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median. The statistical median is the number in the midpoint of a series of numbers. To get the median, sort the numbers by size; the number in the center is the median. The term median is derived from the Latin word medius, which also meaning middle. A number in the center of a list is known as the median in mathematics.

Here,

The median would be the best depiction of the data set's usual value or behavior for "Ages of college students".

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Every coordinate point of the original triangle has its scale factor doubled by one-half if the scale factor is one. multiply by half after dilation with a scale factor of two.

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Every coordinate point of the original triangle has its scale factor doubled by one-half if the scale factor is one. multiply by half after dilation with a scale factor of two.

We locate the dilation's center point and measure the distances between it and other points on the preimage and the image in order to get the scale factor for the dilation. As correctly stated by Math Bits Notebook, the scale factor is determined by the ratio of these distances.

Keep in mind that each coordinate must be multiplied by the scale factor in order to enlarge an object in the coordinate plane. The mapping will be (x, y) (1.5 x, 1.5 y) with this dilation. The original is represented by the blue quadrilateral in the graph above, while the dilatation is shown by the red picture. Connect the image's vertices to the center of dilation by drawing straight lines.

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Answer:

79%

Step-by-step explanation:

imma human calculator and no one can stop me

Answer:

Step-by-step explanation:

y = kx

proportionality constant = k = y/x

A.  k = y/x = 7/2 = 3.5   (you can plug in any x,y pair from the table and will get the same answer, 3.5)

B. k = y/x = 12/3 = 4   (you can choose any point on the line)

C.  k = y/x = 2.75   (same as the slope of the line)

D.  k = y/x = earnings/games = 65/5 = 13

E.  k = y/x = 12/3 = 4   (you can plug in any x,y pair from the table and will get the same answer, 4)

1. MO = NP (Given)

2. MO = MN + NO (Segment Add)

  NP = NO + OP (Segment Add)

3. MN + NO = NO + OP (Transitive / Substitution)

4. MN = OP (Subtraction POE)

Therefore , the solution of the given problem of triangle comes out to be √3 ,√4,√5  advance to acute triangle category as they have small angle less than 90 degree.

Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

Here:

Given :

=> 4 ,4√3,8

=> 0.5 , 1.3 , 1.2

=> 1.8 ,√6 ,0.8

=> √3 ,√4,√5

These can be advance to acute triangle category as they have small angle less than 90 degree.

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The average cost per passenger - mile of driving is $0.503 per mile.

Average cost is calculated by dividing the total cost by the total output quantity.

There are two options for Daniel and Elizabeth, either by driving car or by plane.

We have to calculate the average cost per passenger - mile of driving in car.

Cost of gas = $60

Food bill for a day for two of them = $25

Food bill for a day for one = 25 / 2 = $12.5

Food bill for one passenger for 4 days = $12.5 × 4 = $50

Cost of room for 1 night = $48

Cost of room for 4 nights = $192

Total cost for 1 passenger = $60 + $50 + $192 = $302

Average cost per passenger - mile of driving = 302 / 600 = $0.503 per mile.

Hence the average cost per mile per passenger is $0.503 per mile.

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Answer: There is only 5 rules in algebra.

Step-by-step explanation:

The pole was at a depth of 2 feet  = - 2

What is height and distance ?

height can be defined as the the measurement in vertical direction where as the distance can be defined as the measurement in horizontal direction.

Given :

Casey was at the surface of a swimming pool and recorded the following two measurements,

in feet, on a number line: −8, which represents the depth of water in the swimming pool +7,

which represents the height of the slide at the pool  

To Find, What does 0 represent in this situation?  

Describe the height of the slide in relation to 0 in the situation

Casey held a pole in the swimming pool. The bottom of the pole was at a depth of 2 feet. How should Casey mark the level of the bottom of the pole on the number line

0 represent in this situation  - Top surface of Swimming pool  - Surface matching with ground

height of the slide in relation to 0 in the situation  = 7 feet

pole was at a depth of 2 feet = - 2

Hence, The pole was at a depth of 2 feet  = - 2

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Answer:

2x+3=5

Step-by-step explanation:

2x+3=5 us the only one with an equals to sign

an equation always have an equals to

Applying the triangle sum theorem, the value of x in the triangle is: C. 36.

The Triangle Sum Theorem states that the sum of the measures of the interior angles of a triangle is 180 degrees. This theorem applies to all triangles, regardless of their shape or size.

The theorem can be proven using the fact that the sum of the measures of the interior angles of any polygon with n sides is (n-2)x180. Since a triangle has three sides, the sum of its interior angles is 180 degrees.

Therefore:

2x + 2x + x = 180

Combine like terms

5x = 180

Divide both sides by 5

5x/5 = 180/5

x = 36

The value of x is: C. 36.

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Answer:

12.5%

Step-by-step explanation:

0.125 * 2 = .25

2+.25 =2.25

The only true statement among the options given is C, The total cost of your books depends on how many books you buy.

What is the direct proportion?

Direct proportion, also known as direct variation, is a relationship between two variables in which the ratio of the variables is always constant. This means that if one variable increases, the other variable will also increase, and if one variable decreases, the other variable will also decrease.

According to the information given, all books are $1.50 each, so the price does not depend on what kind of book you buy. The statement A is false.

Also, the kind of book you buy does not depend on the price, so statement B is false.

The number of books you buy does depend on the total cost, so statement C is true.

Therefore, the only true statement among the options given is C, The total cost of your books depends on how many books you buy.

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Answer: The value of x = 7

Step-by-step explanation:

In the figure consider the parallelogram is a ABCD parallelogram

A parallelogram is a two-dimensional shape.

It has four sides, in which two pairs of sides are parallel.

Also, the parallel sides are equal in length.

If the length of the parallel sides is not equal in measurement, then the shape is not a parallelogram.

Similarly, the opposite interior angles of a parallelogram should always be equal. Otherwise, it is not a parallelogram.

AB = 3x+5

CD = 5x-9

where AB || CD and AD || BC

Also, AB = CD and AD = BC

then 3x+5 =  5x-9

when simplify the equation,

5x = 3x+5+9

5x = 3x+14

then

     5x-3x = 14

     2x = 14

     x  = 14÷2

     x = 7

then the value of x = 7

when substituting value of x in equations

AB = 3x+5 = 21+5 = 26

CD = 5x-9 = 35-9 = 26

AB = CD

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By evaluating the formula for the sequence, we will get the terms:

Here we want to find the second, fourth, and eleventh terms in the sequence:

A(n) = -9 + (n - 1)*3

n defines the "number" of the term in the sequence.

So to get the second term, we need to use n = 2, we will get.

A(2) = -9 + (2 - 1)*3

A(2) = -9 + 3 = -6

The fourth term is what we get if we evaluate in n = 4, then:

A(4) = -9 + (4 - 1)*3

A(4) = -9 + 9 = 0

And the eleventh term is what we get when we use n = 11, we will get:

A(11) = -9 + (11 - 1)*3

A(11) = -9 + 30 = 21

These are the 3 terms of the sequence that we wanted to find.

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