What is the length of TH, when T (6, 9) and H (-4, -1)?

Given:

A scale drawing of a rectangular park is 5 inches wide and 7 inches long.

The actual park is 280 yards long.

To find:

The area of the actual park.

Solution:

Length of drawing = 7 inches

Length of actual park = 280 yards

The scale factor is

7 inches : 280 yards

1 inches : 40 yards

The width of the drawing is 5 inches. So, the width of actual part is

\(40\times 5=200 yards\)

The area of the actual park is

\(Area=Length \times width\)

\(Area=280\times 200\)

\(Area=56000\)

Therefore, the area of the actual park is 56000 sq. yards.

Answer:

There is a 15% chance a student chosen at random would have brown sandals.

Step-by-step explanation:

The required probability will be 0.15 that a student chosen at random would have brown sandals.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

the probability = number of favorable outcomes /  total number of outcomes.

We have been given that out of 200 students in a school, 30 have brown sandals.

To determine the probability that a student chosen at random would have brown sandals.

The probability = number of favorable outcomes /  total number of outcomes.

The probability = 30 / 200

The probability = 0.15

Thus, the required probability will be 0.15 that a student chosen at random would have brown sandals.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ5

Answer:

9, 4.5 x 2 = 9

4.5 = 45 tenths and 0.5 = 5 tenths

5 tenths x 9 = 45 tenths

4.5/0.5 = 9

6.3/0.9 = 7, 0.9 x 7 = 63, 63 / 0.9 = 7

Step-by-step explanation:

The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

To know more about area of a rhombus on the link below:

https://brainly.com/question/12783973#

#SPJ11

Answer: \(Y=-3\)

Step-by-step explanation:

\(Y=5x-3\)

\(Y=5 * (x) -3\)

Then replace x by 0

\(Y=5 * (0) -3\) or \(Y= 5(0) -3\)

\(Y=0 -3\)

\(Y=-3\)

In this situation, it is important to adapt your approach to effectively communicate with the user. You should try using different methods and techniques to explain the solution in a way that they can understand.

When faced with a user who is not understanding the solution despite repeated explanations, it is crucial to adapt your communication strategy. Here are some steps you can take: Patience and empathy: Remain calm and patient throughout the conversation. Understand that everyone has different levels of technical knowledge, and the user may be unfamiliar with the terminology or concepts you are using.

Simplify explanations: Break down the solution into smaller, easily digestible steps. Use simple language and avoid technical jargon. Provide real-world examples or analogies that the user can relate to. Visual aids: If possible, provide visual aids such as screenshots, diagrams, or illustrations to supplement your explanations. Visuals can help the user visualize the steps and better understand the solution.

Learn more about approach here:

https://brainly.com/question/30967234

#SPJ11

Multiply 9 with 9, and we get:

9 × 9 = 81

Multiply 10 with 10, and we get:

10 × 10 = 100

We get the final result as:

Hope this helps :)

Answer:

30 baloons

Step-by-step explanation:

1. Remove the price of the banner from the total amount you can spend.  You should then end up with $90

2.  Divide 90 by 3, because each balloon costs $3.  You should end up with 30.

Answer:

30 balloons

Step-by-step explanation:

Cost of banner = $ 35

Remaining amount after paying for banner = 125 - 35 = $90

Number of balloons = Remaining amount ÷ cost of one balloon

= 90 ÷ 3

 = 30

Answer:

x = 40°

Step-by-step explanation:

The base angles of the triangle are 71° and 69° ( vertical angles ) , then

x = 180° - (71 + 69)° = 180° - 140° = 40°

To find when the daily ticket sales will peak, we need to find the maximum value of the quadratic equation \(N &= -0.3x^2+9x+13\).

How to calculate no. of ticket solds and peak ticket sales?

Part 1:

The maximum value of a quadratic equation of the form \(y &= ax^2 + bx + c\) occurs at \(x = \frac{-b}{2a}\). So in our case, the peak day will be at:

\(x &= \frac{-9}{2(-0.3)} = 15\)

Therefore, the peak will be reached 15 days after the concert was first announced.

Part 2:

To find the number of tickets sold on that day, we substitute x=15 into the equation \(N &= -0.3x^2+9x+13\):

\(N &= -0.3(15)^2 + 9(15) + 13 = 67\)

So the number of tickets sold on the day of the peak will be 67.

To learn more about quadratic equation, visit: https://brainly.com/question/1214333

#SPJ1

Answer:

Perimeter = 90

Step-by-step explanation:

We're going to start with HI and go around the circle (and triangle, clockwise) see image. HI is 11. From H to G, then also has to be 11.

Subtract 26 - 11 to find LG. LG is 15.

If LG is 15, then LK is also 15. Subtract 34 - 15 to find JK.

JK is 19, so JI is also 19.

Two sides of the triangle are 34 and 26. The other side is 19+11=30.

Perimeter = 34+26+30

= 90

Using translation concepts, it is found that the correct statement is:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the points on triangle A are: (-1, 0), (-2, 4) and (-1, 4).

Marcus' translation is as follows:

You can learn more about translation concepts at https://brainly.com/question/4521517

Answer:

A

Step-by-step explanation:

Answer:

\(({2x}^{2} )^{3} \times ( - {x}^{4} )\)

\( {2x}^{6} \times ( - {x}^{4} )\)

\( - {2x}^{6 + 4} \)

\( - {2x}^{10} \)

hope it helps you :)

It is true that Sarah's maximum heart rate over this twenty-year period will have decreased by approximately 8%.

The percentage decrease is determined by ascertaining the reduction or difference in heart rate at the beginning and at forty.

This difference becomes the numerator of the division operation by the heart rate at the beginning and then multiplied by 100.

Sarah's heart rate at twenty years = 193 beats per minute

Sarah's heart rate at forty years = 178 beats per minute

Difference (Decrease) in heart rate = 15 beats per minute (193 - 178)

Percentage decrease = 7.77% (15/193 x 100)

= 8%

Thus, we can conclude that Sarah's heart rate has decreased by about 8%.

Learn more about percentage decreases at https://brainly.com/question/14808025

#SPJ1

Contribution margin is the excess of sales revenue over total variable costs. This means that all of the answer choices are correct.

Contribution margin is an important financial metric used in managerial accounting to assess the profitability of a company's products or services. It represents the amount of revenue available to cover fixed costs and contribute to the company's operating income. The contribution margin is calculated by subtracting the total variable costs from the sales revenue. Variable costs are expenses that vary directly with the level of production or sales, such as direct materials, direct labor, and variable overhead. Fixed costs, on the other hand, remain constant regardless of the level of production or sales. By analyzing the contribution margin, managers can make informed decisions regarding pricing strategies, product mix, and cost control measures. A higher contribution margin indicates that a greater portion of each sales dollar is available to cover fixed costs and generate profits. It is important for companies to maintain a healthy contribution margin to ensure their long-term financial viability.

Learn more about Contribution margin here:

https://brainly.com/question/29674918

#SPJ11

The standard deviation is provided by this. = 6.7528

Because it aids in comprehending measurements whenever the data is distributed, the standard deviation is significant. The standard deviation of the data will be higher the more evenly distributed the data is.

sample data = ( 32, 41, 36, 24, 29, 30, 40, 22, 25, 37)

To find mean of the given data:

Mean = Sum of items/ Count items

Mean = (32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 / 10)

          = 31.6

now finding the variance:

First we  Add All the sample:

32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 = 316

make Square of the solution:

316*316 =99856

and multiply by how many items there are. We have 10 items.

=99856/10

= 9985.6

For the time being, put this number aside.

Take your original set of numbers from Step 1 and square each one this time on its own.

32² + 41² + 36² + 24² + 29² + 30² + 40² + 22² + 25² + 37² = 10396

Subtract the sum from Step 2 from of the sum from Step 3.

10396 - 9985.6 = 410.4

The items in someone data set is reduced by 1 by.10 - 1 = 9

Divide the result of Step 4 even by result of Step 5. You get the variation from this.

410.4 / 9 = 45.6

Your response from Step 6 should be squared. The standard deviation is provided by this.

6.7528

To know more about standard deviation  visit:

https://brainly.com/question/12402189

#SPJ4

I understand that the question you are looming for is:

For the following sample data, compute the variance and the standard deviation. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37

The coordinates of the images of vertices L, M, N, and O after reflecting quadrilateral LMNO about the x-axis are: D. L’(2, -5), M’(2, -1), N’(-5, -2), and O’(-6, -4)

When a figure is reflected about the x-axis, the x-coordinates remain the same, but the y-coordinates are negated.

Given the original coordinates of quadrilateral LMNO, which are L(-2, 5), M(-2, -1), N(5, -2), and O(6, -4), we can apply the reflection to find the coordinates of the images.

For the x-axis reflection, the x-coordinates remain the same, so L' and M' will have x-coordinates of 2. For the y-coordinates, we negate the values, so L' will have a y-coordinate of -5, and M' will have a y-coordinate of -1.

Similarly, for N' and O', the x-coordinates will remain the same as the original figure, but the y-coordinates will be negated. Thus, N' will have coordinates (-5, -2), and O' will have coordinates (-6, -4).

Therefore, the correct answer is D, with the coordinates L’(2, -5), M’(2, -1), N’(-5, -2), and O’(-6, -4).

To learn more about coordinates  click here

brainly.com/question/22261383

#SPJ11

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

Learn more about Budget:

https://brainly.com/question/26894404

#SPJ11

To simplify the expression \(\left(\frac{64x^{12}}{125x^{3}}\right)^{\frac{1}{3}}\), we can start by simplifying the numerator and denominator separately.

In the numerator, we have \(64x^{12}\). We can rewrite 64 as \(4^3\) and \(x^{12}\) as \((x^3)^4\). So, the numerator becomes \(4^3 \cdot (x^3)^4\).

In the denominator, we have \(125x^{3}\). We can rewrite 125 as \(5^3\) and \(x^{3}\) as \((x^3)^1\). So, the denominator becomes \(5^3 \cdot (x^3)^1\).

Now, let's simplify the expression inside the parentheses: \(4^3 \cdot (x^3)^4 \div (5^3 \cdot (x^3)^1)\).

Simplifying each part further, we have:

\(4^3 = 64\),

\((x^3)^4 = x^{12}\),

\(5^3 = 125\), and

\((x^3)^1 = x^3\).

Now the expression becomes:

\(\frac{64x^{12}}{125x^3}\).

To simplify further, we can cancel out the common factors in the numerator and denominator. Both 64 and 125 have a common factor of 5, and x^12 and x^3 have a common factor of x^3. Canceling these common factors, we get:

\(\frac{64x^{12}}{125x^3} = \frac{8}{5} \cdot \frac{x^{12}}{x^3} = \frac{8}{5}x^{12-3} = \frac{8}{5}x^9\).

Therefore, the simplified expression is \(\frac{8}{5}x^9\).

\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

Answer:

D. The y-intercept is (0, 2), and the 2 represents the number of miles

from the car at the start of this time period.

Step-by-step explanation:

The y-intercept is what the y is at x=0. On the graph we can clearly see that it is 2. This means our y-intercept is at x=0 and y=2, so (0,2).

That limits it to C and D. We can see that distance is the y axis and time is the x axis. As this is a 2 on the y axis, it is the number of miles from the car.

Answer:

160

Step-by-step explanation:

so 1 gallon is 128 fluid ounces

how many is 12fl oz

so (1×12)/128=0.09375gallons per person

and you have 15 so if one consumes 0.09375 how many can consume 15

so 15/0.09375

Answer:

C

Step-by-step explanation:

C because when you add two sides of a triangle, they should ALWAYS add up to more than the third side.

Answer:

A

Step-by-step explanation:

(-k + 8)(-2k² - 8k - 1)

We can use FOIL to solve this.

(-k * -2k²) + (-k * -8k) + (-k * -1) + (8 * -2k²) + (8 * -8k) + (8 * -1)

2k³ + 8k² + k + (-16k²) + (-64k) + (-8)

2k³ - 8k² - 63k - 8

Best of Luck!

Answer:

the answer is 220

Step-by-step explanation:

8 (12+15) +4

8(27+4

216+4

220

The quadratic functions can be identified as being in general form, factored form, vertex form, or none of these forms.

To identify the form of a quadratic function, we need to examine its equation.

1. General Form: The general form of a quadratic function is written as \(ax^2 + bx + c\), where a, b, and c are constants. If the given equation is in this form, we can identify it as being in general form.

2. Factored Form: The factored form of a quadratic function is expressed as a product of binomial factors. It can be written as a(x - p)(x - q), where a, p, and q are constants. If the given equation can be factored in this way, we can identify it as being in factored form.

3. Vertex Form: The vertex form of a quadratic function is written as a\((x - h)^2 + k\), where a, h, and k are constants representing the vertex coordinates (h, k). If the given equation can be rearranged to match this form, we can identify it as being in vertex form.

If the equation does not match any of these forms, it can be concluded that the quadratic function is in none of these forms. It may be written in a different form or require further manipulation to determine its specific representation.

By examining the structure and arrangement of the terms in the equation, we can easily identify the form of a quadratic function.

Learn more about quadratic functions

brainly.com/question/18958913

#SPJ11

The container would hold 2040 cubic feet of shipped goods when it's three-quarters full.

The dimensions of the container are given as 40 ft by 8 ft by 8 ft 6 in. We need to convert the height of 8 ft 6 in to feet by dividing it by 12 since there are 12 inches in a foot:

8 ft 6 in = 8 ft + (6 in / 12) ft

         = 8 ft + 0.5 ft

         = 8.5 ft

Now we can calculate the volume of the container:

Volume = Length × Width × Height

      = 40 ft × 8 ft × 8.5 ft

      = 2720 ft³

To find the volume when the container is three-quarters full, we multiply the total volume by 0.75:

Volume when three-quarters full = 2720 ft³ × 0.75

                              = 2040 ft³

Therefore, the container would hold 2040 cubic feet of shipped goods when it's three-quarters full.

Learn more about Volume at https://brainly.com/question/27710307

#SPJ1

Answer:

Yes, he is correct. One correct step is that he divided 72 ounces by 16 (16 ounces in a pound) and multiplied it by 60, to make it pound/minute.

Step-by-step explanation:

72/16=4.5

4.5x60=270

Answer:

So is there are 10 cats for every 4 dogs,

If there are 5 cats that is half of 10 so half of 4 is 2

Now there are 32 dogs that is 8 times more than 4 so 10 x 4 is 40 so the answers are

Cats    10     5     8

Dogs   4     2     32

Plz give brainiest