Mathematics High School

## Answers

**Answer 1**

200 **meters** is equal to **0.124275 miles**. both are **unit of measurement** of distance.

The** conversion factor** for converting** meters to miles** is 0.000621371. So, to convert 200 meters to miles, you need to multiply 200 by 0.000621371, which results in 0.124275 miles.

It's important to note that the mile is a **unit of length** commonly used in the United States, while the meter is the standard **unit of length **in the **International System of Units **(SI).

For converting small lengths, it is sufficient to use this **conversion factor**, but for larger or more precise measurements, it is important to use a more accurate **conversion method.**

It's also worth noting that converting between different units of measurement can sometimes result in slight differences in the values obtained through conversion due to rounding.

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## Related Questions

Solve for X.

-4(2x + 9) + 3x =6-4(x-3)

### Answers

**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

how to rotate a figure 90 degrees clockwise about a point

### Answers

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.

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What is 10 m in feet ?

### Answers

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.**

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What is the half angle formula?

### Answers

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.**

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PREVIOUS ANSWER:

18

M

ANGLES OF POLYGONS

Scavenger Hunt

If Ill m. find the

measure of 2CDE:

1

### Answers

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°.

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Please I need this now.

### Answers

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.

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A roll of paper towels cost $1.90. How many rolls can you buy for $9.50?

### Answers

you can buy 5 rolls .

**Answer:**

**5 rolls **

**Step-by-step explanation:**

9.50/1.90

solve for u

-12u>20u–3(11u+19)

### Answers

**Answer:**

u > -57

**Step-by-step explanation:**

-12u>20u–3(11u+19)

-12u > 20u -33u - 57

-12u > -13u - 57

u > -57

A rectangular paperboard measuring 31in long and 22in wide has a semicircle cut out of it, as shown below. Find the area of the paperboard that remains. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

### Answers

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.

Thus the area of the semi-circle is:

A = (3.14 * 22²)/8

A = (3.14 * 484)/8

A = 1519.76/8

A = 189.97in

Next, we find the area of the Full rectangle which is:

L x B

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.**

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**Full Question:**

See attached Image

Given the following information:

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

Which of the following sets of side lengths could be ΔFGH?

a. 6cm, 8cm, 10cm

b. 19cm, 8cm, 10cm

c. 9cm, 16cm, 20cm

d. 9cm, 12cm, 15cm

### Answers

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

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What is the basic formula to convert radians into degrees?

### Answers

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.

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What is the volume of a hemisphere with a radius of 7.7ft ?

### Answers

**Answer:Answer: 119.57 cu. ft.**

**Volume of a hemisphere = (2/3)πr^3**

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

Sonia has two bank accounts. In her checking account, she has a certain amount of money. In his account savings, she has $300 more than triple the amount in her checking account. In all, she has $1,255. How much money does Sonia have in her savings account?

### Answers

**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!

a line has a slope of 1/6 and it passes through the point (-6,6). write its equation in slope intercept form

### Answers

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

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10. Which of the following statements are true? Check the boxes of the truestatements.

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

polynomial is the exact opposite.

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

polynomial is the same.

□ If (6,3) is a point on the function, then (-6,3) is also a point on the function if a

graph has even symmetry.

□ If the function has symmetry about the x-axis, it is even.

### Answers

**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).

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Elaine is decorating for a party. She cuts 3 equal length streamers from a strip of purple paper that is 8 feet long. How long is each streamer? Zane chose C as the correct answer.How did he get that answer?

### Answers

**Answer:**

2 2/3

**Step-by-step explanation:**

8/3 = 2 2/3

how many 170 cm to feet

### Answers

**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.

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1 x 2/3 + 15 please help

### Answers

**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

psl plspslpsls help jelp help

### Answers

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.

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How do you use the cross product formula?

### Answers

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.

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Compare the two ratios by entering >, <, or = in the box. 6:15 30:80

### Answers

**Answer: 6:15 > 30:80**

**Step-by-step explanation:**

**Answer:**

**Step-by-step explanation:**

** >**

4. Which description below describes the equation

x÷4=55

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

B. Fifty five mugs which will go in four boxes.

C. If each box holds for mugs, then, there are fifty mugs

D. The number of mugs when four are broken

### Answers

**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.

You should use estimation when you can find a primary source that gives the exact value. True or False.

### Answers

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.

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Please help!

It is about coplanar and collinear, I don't have so much time please help.

### Answers

**Answer:**

2 and 5 are correct, the rest are not.

**Step-by-step explanation:**

Jennifer is a textbook sales person last week she earned $1260 in commission how much did she sell for the week if her rate of commission is 14%

### Answers

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

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Tiffany figures she can pay $1,000 a month for housing. She uses a mortgage calculator to figure out how big a mortgage she could afford. Tiffany sees that at current interest rates, a $150,000 mortgage would be a payment of $800, and her estimated tax payment each month would be $100. Tiffany thinks she can easily afford the $900 total monthly payment. Describe three costs she did not consider in her calculation.

### Answers

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.

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Let's Go 1. Based on your understanding of the meaning of function, answer and discuss the following questions. (It may be helpful to draw a graph.) (a) A sprinter races a 100 yard dash in eleven seconds. Can one define a function x(t), representing the distance she has traveled as a function of elapsed time? Can one define a function t(x), representing elapsed time as a function of the distance she has traveled? Explain. (b) A rocket ship flies to the moon and back. Is the ship's distance to earth a function of elapsed time? Is elapsed time a function of the ship's distance to earth? Explain.

### Answers

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 tim**e 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.

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What is the equation of the line that

passes through the point (6, 0) and has a

slope of - 5/6?

### Answers

**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

if the mean of a data set is large, the standard deviation has to be large also. true or false

### Answers

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.

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What is IU grading scale?

### Answers

**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.

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