How Much Is 200 Meters To Miles? (2024)

Answer:

x = - 54

Step-by-step explanation:

- 4(2x + 9) + 3x = 6 - 4(x - 3) ← distribute parenthesis on both sides and simplify

- 8x - 36 + 3x = 6 - 4x + 12

- 5x - 36 = - 4x + 18 ( add 4x to both sides )

- x - 36 = 18 ( add 36 to both sides )

- x = 54 ( multiply both sides by - 1 )

x = - 54

The point will be 90 degrees clockwise from the original figure, and the angle between the original and the rotated figure will be 90 degrees.

In order to rotate a figure 90 degrees clockwise about a point, you need to use the coordinate plane and apply the transformation matrix, which is a set of mathematical equations that describe the changes in the x and y coordinates of the figure.

First, you need to choose a point of rotation, which is a point around which the figure will be rotated. This point is usually denoted as the origin (0,0) in the coordinate plane. Next, you need to find the coordinates of the vertices of the figure and then apply the transformation matrix to each vertex.

The transformation matrix for a 90 degree clockwise rotation is:

x' = -y

y' = x

where x and y are the original coordinates of the vertex, and x' and y' are the new coordinates after the rotation. To apply this matrix, you simply need to multiply the original x and y coordinates by the corresponding elements of the matrix and then add the results to the origin.

Finally, you need to connect the vertices to form the new image of the figure after the rotation.

To know more about angle here.

https://brainly.com/question/4316040

#SPJ4

10 m is approximately 32.808 ft. both are unit of measurement of length.

To convert meters (m) to feet (ft), you can use the conversion factor 1 ft = 0.3048 m. To convert 10 m to ft, you would multiply 10 by 3.2808, which gives you 32.808 ft. The process of converting 10 m to ft is simple, one needs to multiply it by 3.2808 . The result is 32.808 ft.

Meters and feet are both units of measurement for length, but they are not interchangeable. Meters are commonly used in the Metric system, while feet are used in the imperial system in the United States and the United Kingdom.

It's important to keep in mind that when converting between different units of measurements, one should be careful as the conversion factors are different for different units of measurements.

To know more about conversion factor click on the link below:

brainly.com/question/30166433#

#SPJ11

The half angle formula is a mathematical formula used to find the sine, cosine, or tangent of half of an angle in a right triangle.

In a right triangle, the half angle formula allows you to find the value of one of the trigonometric functions for half of an angle based on the value of that same function for the full angle.

This can be useful when trying to simplify or solve more complex trigonometry problems.

For example, if you know the sine of an angle in a right triangle, you can use the half angle formula to find the sine of half of that angle. This can help you to find other values in the triangle, such as the cosine or tangent.

To use the half angle formula, you first need to determine which trigonometric function you want to find for half of the angle.

Then, you use the formula for that function to find the value of the trigonometric function for half of the angle based on the value of that same function for the full angle.

to know more about half angle formula refer here

https://brainly.com/question/29173442#

#SPJ11

The measure of angle CDE from the given pentagon is 155°.

What are angles of parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Given that, l║m.

Here, ∠BAE= 57° (Alternate interior angles are equal)

Now, 57°+∠CBA=180°

∠CBA=123°

In pentagon, ∠BAE+∠CBA+∠BCD+∠CDE+∠AED=540°

57°+123°+115°+∠CDE+90°=540°

385°+∠CDE=540°

∠CDE=540°-385°

∠CDE=155°

Therefore, the measure of angle CDE from the given pentagon is 155°.

Learn more about the parallel line angles here:

https://brainly.com/question/17237586.

#SPJ1

The type of transformation that maps triangle ABC in to triangle A'B'C' is reflection

When triangle A'B'C' is reflected across line x = -2 to form triangle A'' B''C''. vertex B'' of triangle A''B''C'' will have same coordinates as B'

What is transformation in coordinate geometry?

A transformation in a coordinate plane is a function that converts inputs (pre- image points) to outputs (image points) (outputs). Because the pre-image and the image are congruent for each of those transformations, translations, reflections, and rotations all preserve distance and angle measure.

The transformation known as reflection flips a shape in a mirror line, also known as a line of reflection, such that each point is at the same distance from the mirror line as its reflected point.

Learn more about reflection at:

https://brainly.com/question/26494295

#SPJ1

Answer:

5 rolls

Step-by-step explanation:

9.50/1.90

Answer:

u > -57

Step-by-step explanation:

-12u>20u–3(11u+19)

-12u > 20u -33u - 57

-12u > -13u - 57

u > -57

Note that the area of the paperboard that remains uncut is: 492.03 inches. This solution is arrived at using the knowledge of the area of a semi-circle and that of a rectangle.

What is the area of a Semi-Circle?

Note that the area of a semi-circle when the diameter is known is:
πd²/8

Where d is the diameter; and

π is 3.14

Recall that the diameter which also coincides with the width is: 22 inches.

A = (3.14 * 484)/8

A = 1519.76/8

A = 189.97in

Where L = 31 in and B = 22in

Thus,

A = 682in

Thus the area of the paperboard that remains is:
Area of the Full Paper board less the Area of the Semi-Circle

= 682 - 189.97

= 492.03in

Thus, the area of the Paperboard that remains is 492.03 inches.

Learn more about Semi-Circle:
https://brainly.com/question/16688824
#SPJ1

Full Question:

See attached Image

When ΔABC ∼ΔFGH with a scale factor of 1 to 3. and the side lengths of ΔABC are 3cm, 4cm, and 5cm. The side lengths of ΔFGH will be

d. 9cm, 12cm, 15cm

What is dilation of triangles?

Dilation is a method for generating similar figures. By multiplying distances by the scale factor, each point is stretched outward from the central point D. (If the scaling factor is more than 1),

In the problem the scale factor is 3 this means that the lengths of the image of the dilation which is Δ FGH, will all increase by a factor of 3

Therefore

length 3 cm * 3 = 9 cm

length 4 cm * 3 = 12 cm

length 5 cm * 3 = 15 cm

hence the new length is 9cm, 12cm, 15cm

Learn more about dilation at:

https://brainly.com/question/10253650

#SPJ1

The basic formula to convert radians to degrees is degrees = radians x 180/π .

Radians and degrees are both units of measurement used to express angles in mathematics and physics. The main difference between them is that radians are based on the radius of a circle, while degrees are based on the circumference of a circle.

A full circle is equal to 2π radians, which is equivalent to 360 degrees. To convert radians to degrees, you can use the conversion factor of 180/π. By multiplying the number of radians by this factor, you will get the number of degrees.

For example, if you want to convert 2π radians to degrees, you can multiply 2π by 180/π, which gives you 360.

It's important to note that many programming languages and calculator have built-in functions to convert radians to degrees and vice versa, so you can use that if you have access to them.

To know more about conversion factor on the link below:

https://brainly.com/question/30166433#

#SPJ11

Answer:Answer: 119.57 cu. ft.

Volume of a hemisphere = (2/3)πr^3

= (2/3) * 22/7 * 3.85^3

Answer:

According to my calculations, the answer should be 718.33 OR 318.33

I'm not 100% sure, if you need, try the problem yourself or redo it to check my work. Don't be afraid to correct me, I'm always looking for ways to improve! If my answers seem to be correct, chose what seems more reasonable.

Have an awesome day/night!

The equation of a line that has a slope of 1/6 and it passes through the point (-6, 6) is y = x/6 + 7.

What is the slope-intercept form?

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

x and y represents the data points.m represents the slope of a line.c represents the y-intercept of a line.

From the information provided above, we have the following slope and data points on the line:

Points = (-6, 6).

Slope, m = 1/6

At data point (-6, 6), a linear equation of this line can be calculated in point-slope form as follows:

y - y₁ = m(x - x₁)

y - 6 = 1/6(x + 6)

y - 6 = x/6 + 1

y = x/6 + 1 + 6

y = x/6 + 7

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer:

First statement

Third statement

Step-by-step explanation:

Definition of an odd function

A function is odd if −f(x) = f(−x), for all x

That means substituting (-x) in the expression for f(x) will result in the negative of f(x)

So first statement is correct

Second statement is therefore incorrect

An even function is one that has symmetry about the y-axis
For example y = x² is symmetric about the y axis

That means f(-x) = f(x)

If a function is even, then for a point (, b), then (-a , b ) is also a point on the graph. That is because it is symmetric about the y-axis and therefore for the same value of y there will be two values for x, x and -x

Taking the example of x² we have (2, 4) as a point on the graph because f(2) = 2² = 4

If we take f(-2) we get (-2)² which is also 4

So the third statement is true

No function can be symmetric about the x-axis

The true statements are:

"A function is odd if you substitute (-x) into the function and the resulting

polynomial is the exact opposite."

"(6,3) is a point on the function, then (-6,3) is also a point on the function if a graph has even symmetry."

Which of the given statements are true?

First we need to define odd and even functions.

A function is even if.

f(x)= f(-x)

A function is odd if:

f(x) = -f(-x)

Then the statement:

"A function is odd if you substitute (-x) into the function and the resulting

polynomial is the exact opposite."

Is true by the definition.

And the statement:

"(6,3) is a point on the function, then (-6,3) is also a point on the function if a graph has even symmetry."

Is also true, because for an even function we whould have f(6) = f(-6).

Learn more about odd and even functions at:

https://brainly.com/question/2284364

#SPJ1

Answer:

2 2/3

Step-by-step explanation:

8/3 = 2 2/3

Answer:

It rounds up to six but the exact number is 5.57742782

As 1 cm equals to 0.0328084 feet, then 170 cm (170 ×0.0328084) = 5.57743 foot, in unit of measurement.

What is unit of measurement?

The magnitude of a quantity, which has been predetermined, acknowledged by law, and frequently used, determines its relationship to other quantities of the same kind. A multiple of the unit of measurement can be used to express any additional quantity of that kind.

An example of a physical quantity is length. The term "metre," which begins with a "M," refers to the predetermined distance. The length is 10 times the precise, predetermined length known as "metre" when the term "10 metres" is used (or 10 m).

Human endeavour has relied on the definition, acceptance, and practical application of units of measurement from antiquity to the present.

Learn more about unit of measurement

https://brainly.com/question/629451

#SPJ4

Answer:

15 2/3

Step-by-step explanation:

1 x 2/3 + 15=2/3+15=15 2/3

Answer: 15 2/3

Step-by-step explanation:

1. Times the 1 and the two-thirds.

1 * 2/3 = 2/3

2. Add two-thirds and fifteen.

2/3 + 15 = 15 2/3

In triangle JKL the measurement of line segment KJ is obtained as 22 units.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

Two triangles - ΔJKL and ΔPQR is given.

It is given that both the triangles are similar.

In ΔJKL, the ∠LJK = 35° and in ΔPQR, the ∠RPQ = 35°.

In ΔJKL, the measurement of line segment LJ is = 28 units

In ΔJKL, the measurement of line segment KJ is = x units

In ΔPQR, the measurement of line segment RP is = 42 units

In ΔPQR, the measurement of line segment QP is = 33 units

To find the value of x use the method of indirect measurement.

According to the rule of indirect measurement -

LJ/RP = KJ/33

Substituting the values into the equation -

28 / 42 = x / 33

28 × 33 = 42x

x = (28 × 33) / 42

x = 924 / 42

x = 22 units

Therefore, the measurement of x is 22 units.

To learn more about triangles from the given link

https://brainly.com/question/25215131

#SPJ1

We can calculate the Cross Product this way:

So the length is: the length of a times the length of b times the sine of the angle between a and b, Then we multiply by the vector n so it heads in the correct direction (at right angles to both a and b).

The cross product formula is a mathematical tool used in vector calculus to find the vector perpendicular to two given vectors. The cross product formula is a fundamental tool used in various fields such as physics, engineering, and computer graphics.

The cross product formula is used to find the vector perpendicular to two given vectors. This vector is often referred to as the cross product or the vector product. The cross product formula is defined as:

A × B = |A| |B| sin θ n

where A and B are the two given vectors, θ is the angle between the vectors, |A| and |B| are the magnitudes of the vectors, and n is a unit vector perpendicular to the plane defined by A and B. The magnitude of the cross product is equal to the area of the parallelogram defined by the vectors A and B.

To know more about cross product formula, visit

brainly.com/question/30284973#

#SPJ11

Answer: 6:15 > 30:80

Step-by-step explanation:

Answer:

Step-by-step explanation:

>

Answer:

A. The number of mugs that fit four to a box.

Answer:

A. The number of mugs that fit four to a box

Step-by-step explanation:

This equation is solving for x, the number of mugs, by dividing 55 (the number of boxes) by 4 (the number of mugs per box). So, x÷4=55 means that x, the number of mugs, is equal to 55 boxes times 4 mugs per box.

It is false that estimation should be used when a primary source gives number of exact value. The exact value should be used when available.

It is false that you should use estimation when you can find a primary source that gives the exact value. It is always best to use the exact value provided by the primary source when it is available. It is false that estimation should be used when a primary source gives the exact value. The exact value should be used when available.Estimation should be used only when the exact value is not known.

It is false that estimation should be used when a primary source gives number of exact value. The exact value should be used when available.

learn more about number here

https://brainly.com/question/10547079

#SPJ4

Answer:

2 and 5 are correct, the rest are not.

Step-by-step explanation:

The total sales for the week is $9000

How to determine the total sales

From the question, we have the following parameters that can be used in our computation:

Commission percentage = 14%

Earnings in commission = $1260

The above parameters mean that

Sales = Earnings in commission/Commission percentage

Substitute the known values in the above equation, so, we have the following representation

Sales = 1260/14%

Evaluate

Sales = 9000

Hence, the sales is $9000

Read more about commission at

https://brainly.com/question/26283663

#SPJ1

1. Maintenance Costs: Tiffany did not consider the costs associated with maintaining her home such as replacing appliances, painting, and landscaping. These costs can add up quickly and can be difficult to budget for.

What is Maintenance Cost?

Maintenance cost is the cost associated with the upkeep of a building, facility, system, or piece of equipment. This cost can include labor, materials, and other related expenses. Maintenance cost is a necessary expense for any business or organization, as it helps to ensure that assets remain in good condition and perform their intended functions for a long period of time. Maintenance costs are typically a part of the operating budget and are typically spread out over the life of the asset. To ensure proper asset maintenance, businesses and organizations must have a systematic approach to planning and budgeting for such costs.

2. Property Taxes: Property taxes can vary depending on the location of the home and can often be quite expensive. Tiffany did not consider these costs in her calculation.

3. Homeowners Insurance: Homeowners insurance is a necessity to protect yourself against any damages that may occur to the property. It is important to consider this cost when calculating the total cost of ownership.

To learn more about Maintenance Cost
https://brainly.com/question/4393331
#SPJ1

The sprinter's distance can be represented by x(t) and elapsed time by t(x), but the rocket ship's distance to earth cannot be represented as a function of elapsed time or vice versa.

a) Yes, the sprinter's distance traveled as a function of elapsed time can be represented by a function x(t). This is because for every elapsed time t, there is a corresponding distance x that the sprinter has traveled. The function t(x), representing elapsed time as a function of distance traveled, can also be defined. This function would give the elapsed time t corresponding to a given distance x traveled. Both functions x(t) and t(x) are invertible, meaning that one can be obtained from the other by algebraic manipulation.

b) The ship's distance to Earth is not a function of elapsed time, as the ship's velocity is not constant. This means that the distance traveled by the ship is not dependent solely on elapsed time. On the other hand, elapsed time is a function of the ship's distance to Earth, as the velocity of the ship can be determined from its position and the elapsed time. The function t(x) would give the elapsed time t corresponding to a given distance x from Earth.

To learn more about the distance, visit:

brainly.com/question/15256256

#SPJ4

Answer:

y= (-5/6)x + 5

Step-by-step explanation:

Since a point(6,0) and gradient -5/6 are given, we can substitute them in formula y - y1 = m(x - x1).

y - 0 = -5/6(x - 6)

y= (-5/6)x + 5

False.

It is not necessary that if the mean of a given dataset is large then the standard deviation has to be large. Mean is the average of all the elements in a dataset and Standard Deviation is the average of deviation of all elements from the mean of the dataset. For instance, take 10 consecutive large numbers, then the mean of the numbers is also large but since the numbers are not widely dispersed, the standard deviation is small in magnitude.

Therefore, the given statement is False.

To know more about Mean here

https://brainly.com/question/30112112

To know more about Standard deviation here

https://brainly.com/question/23907081

#SPJ4

IU grading scale refers to the grading system used by Indiana University to evaluate the performance of its students.

The IU grading scale is a numerical grading system, where each letter grade is assigned a numerical value.

The grades range from A+ (4.0) to F (0.0), with A+ being the highest possible grade and F being the lowest. The grades in between A+ and F include A (4.0), A- (3.7), B+ (3.3), B (3.0), B- (2.7), C+ (2.3), C (2.0), C- (1.7), D+ (1.3), D (1.0), and D- (0.7).

Each course taken at Indiana University is assigned a letter grade based on the student's performance in the course, and these grades are used to calculate the student's overall grade point average (GPA), which represents their academic standing at the university.

to know more about iu grading refer here

https://brainly.com/question/11189041#

#SPJ11