Highwood Park is constructing a children's play area that will be completely fenced

with three entrance and exit gates. The number of feet of fencing needed to enclose

the children's play area can be determined using the formula f = 47(a + 9) – 16

where f represents the feet of fencing and a represents the area. If Highwood Park

has 420 feet of fencing, what is the area of the space?

A line segment of length 8.6 cm, when bisected the length of each half is  4.3cm.

Draw a straight line and mark two points A and B that are 8.6 cm apart.

With A as centre and radius more than half of AB, draw arcs on both sides of AB.

With the same radius and B as centre, draw arcs on the both sides of AB, cutting the previous two arcs.

Label the intersection points of the two arcs as E and F.

Draw a straight line connecting points E and F. This is the line of symmetry and bisects the line segment AB.

The length of each part of the bisected line segment is equal. To measure the length of each part, we can use a ruler to measure the distance from point A to the intersection point C and from point B to the intersection point D. Each of these distances should be approximately 4.3 cm, which is half the length of the original segment.

we get: AC=BC=4.3 cm.

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____The given question is incomplete, the complete question is given below:

Draw a line segment of length 8.6 cm. Bisect it and measure the length of each part.  

101 kg can be converted to into lbs by simply multiply the kg by 2.2046 so the value will be 222.67 lbs

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

There are 2.204622622 pounds per kilogramme and 0.45359237 kilogrammes in a lbs. Hence, there are two ways to translate 101 kilogrammes into lbs. Either divide 101 by 0.45359237 or increase it by 2.204622622. The calculation is as follows: multiply 101 kg by 2.204622622 to obtain the answer.

101 divided by 2.204622622 equals 222.666884822 101 kilogram or 222.67 lbs.

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Answer:

1/2 ton

Step-by-step explanation:

1/2 ton is 1102 pounds

Answer:

D

Step-by-step explanation:

draw a right triangle, with the segment being the hypotenuse. Use Pythagorean theorem to calculate.

to use pythagorean Theorem

Step-by-step explanation:

The Pythagorean Theorem is a formula that allows you to calculate the distance between two points in a coordinate plane. It states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. In the case of two points on a coordinate grid, the distance between them is the length of the hypotenuse of the right triangle formed by the horizontal and vertical distances between the two points.

Answer:

The correct graph is D

In order to create a 40% alcohol solution, we must combine 280 mL of 55% alcohol combination with 120 mL of the 5% alcohol mixture.

Alcohol can change how the brain functions and appears by interfering with the body's communication networks. In addition to altering attitude and behaviour, these disturbances can also make it more difficult to think effectively and move to coordination.

Let's designate the quantity of a mixture of 55% booze that needs to be added "x" (in mL).

We know that the finished solution must contain 40% pure alcohol by volume in order to achieve our goal of a 40% alcohol solution.

The amount of pure alcohol in the 120 mL of 5% alcohol mixture is:

0.05 * 120 = 6 mL

When we add "x" mL of the 55% alcohol mixture, we will add:

0.55x mL of pure alcohol

In the end, we want the total amount of pure alcohol in the final solution to be:

0.40 * (120 + x) mL

Now we can set up an equation:

0.55x + 6 = 0.40(120 + x)

Simplifying and solving for "x", we get:

0.55x + 6 = 48 + 0.40x

0.15x = 42

x = 280

So we need to add 280 mL of the 55% alcohol mixture to the 120 mL of 5% alcohol mixture to obtain a 40% alcohol solution.

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Standard deviation variance squared is the measure of dispersion the most often used, along with the standard deviation, that is simply the square root of the variance.

In the standard deviation of squared variance, the variance is the mean squared difference between the each data point and the center of the distribution, measured by mean. The larger the squared value of the standard deviation variance, the more spread out the data.

It is calculated keeping in mind the square of standard deviation. And  provides measure of the dispersion that is more sensitive to extreme values ​​in the dataset than standard deviation alone.

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The number of dimples per square centimeter are on the surface of a golf ball is 0.17, the correct option is A.

Suppose that radius of the considered sphere is of 'r' units.

Then, its surface area S would be:

[tex]S = 4\pi r^2 \: \rm unit^2[/tex]

We are given that;

The circumference= 13.408cm

Number of dimples = 336

Now,

2pi*r= 13.408

r= 13.408/2*3.14

r=2.13

Surface area= 4*pi*r^2

=4*3.14*2.13*2.13

=56.98

336dimple=56.98cm^2

1dimple=56.39/336

=0.167

Therefore, by the area of sphere the answer will be 0.170.

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Answer:

$2470

Step-by-step explanation:

If a person is between one and seven days late paying tax, they are charged an extra 1% on the amount owed. If a person is over seven days paying tax, they are charged an extra 4% on the total amount owed ( including the extra 1% for being one to seven days late ). Calculate how much Amelia must pay if she owes $2375 and she pays it 10 days late.​

If Amelia owes $2375 and is 10 days late in paying her taxes, she will be charged an extra 4% on the total amount owed, which is $95. This is calculated by adding the 1% late fee for being 1 to 7 days late ($23.75) to the extra 4% late fee for being over 7 days late ($71.25) to get a total late fee of $95. Therefore, Amelia's total payment will be $2470.

As a result, the equation ((2w + 9) + ((4 - 3w) = 0) has no answer.

The term "radical" is used to represent the square root or nth elements. Expression with a square base is referred to as a radical expression. Radicand: A value or phrase contained within the radical sign. Equation with radical formulas and factors as radicands is referred to as a radical equation.

√(2w + 9) + √(4 - 3w) = 0

We need to isolate the variable w.

First, we can move the second term to the other side of the equation by subtracting it from both sides:

√(2w + 9) = -√(4 - 3w)

Next, we can square both sides of the equation to eliminate the square roots:

(√(2w + 9))^2 = (-√(4 - 3w))^2

2w + 9 = 4 - 3w

Now, we can simplify and solve for w:

5w = -5

w = -1

In this case, when w = -1, both square roots are defined, and we can substitute this value back into the original equation to verify:

√(2(-1) + 9) + √(4 - 3(-1)) = √7 + √7 = 2√7

Since 2√7 is not equal to 0, our solution is not valid.

Therefore, there is no solution to the equation √(2w + 9) + √(4 - 3w) = 0.

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where's the question tho

Answer:

without question how am i suppsed to answer..............

The number 11 in roman numerical can be written as the term of ten plus one so XI.

The ancient number system known as Roman numerals is still prevalent worldwide. The fixed positive numbers are represented by alphabets in roman numerals. I, II, III, IV, V, VI, VII, VIII, IX, and X are roman numerals that stand for the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 respectively.

Use the next procedure to write the number 11 in Roman numerals:

Start by simplifying the number 11 to its base form.

As a result, it is found that 11 Equals 10 + 1.

Write the numbers out in Roman numerals first, then add and subtract.

Hence, 10 + 1 = 11 is denoted by X + I = XI. [Note: The letters are linked together when a larger letter comes before a smaller letter.]

Thus, 11 is XI in Roman numerals.

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Answer:

The number in the middle.

Example 1:

2 3 4 5 6

4 is in the middle, 4 is the median.

Example 2:

4 8 2 6 9

Put numbers in order:

2 4 6 8 9

6 is in the middle, 6 is the median.

Example 3:

4 7 2 3 9 8

Put numbers in order:

2 3 4 7 8 9

4 and 7 are in the middle, add them together and divide by 2 to get the median.

(4 + 7) / 2 = 11 / 2 = 5.5

5.5 is the median.

Answer:

96 squared meters

Step-by-step explanation:

Area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

To solve this, we need to first find out how big the area is with the path. To do this, we need to add the 2m on to the length and width of the lawn.

Now, we have the numbers we need to solve for the total area. If we know that the area can be solved using length × width, we can use this equation:

So, the lawn's area including the fence is 576 square meters.

To find out the area of just the fence, we can take the area of the lawn with the fence and subtract the area of the lawn from it. The equation can look like this:

Therefore, the area of the path is 96 squared meters.

Answer:

The area of the path is 200 m².

Step-by-step explanation:

To find the area of the path, subtract the area of the lawn from the area of the path and lawn.

If a lawn that is 30 m long and 16 m wide is surrounded by a path that is 2 m wide, then the length and width of the area of the path and lawn is 34 m long and 20 m wide.  

Given the area of a rectangle is the product of the measures of its length and width:

Therefore, the area of the path is:

The answer to the question is 17/140 fraction.

A fraction is a numerical expression that represents a part of a whole or a ratio of two numbers. It consists of two parts: a numerator (the number on top) and a denominator (the number on the bottom). For example, 3/4 is a fraction that represents 3 parts out of 4. It can also represent the ratio of 3 to 4.

To move the fraction to each box, you would need to multiply the denominator of the first fraction (10) by the numerator of the second fraction (14). The result is 140. Then, you would add the numerator of the first fraction (3) to the numerator of the second fraction (14), giving you 17. The answer to the question is 17/140.

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A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero.

A normal number is a number that can be communicated as the proportion of two whole numbers, where the denominator isn't equivalent to nothing. This implies that a normal number can be written in the structure p/q, where p and q are numbers and q isn't equivalent to nothing.

For instance, 3/4, 7/2, and - 5/6 are instances of normal numbers. Be that as it may, numbers like pi (π) and the square foundation of 2 (√2) are not objective, since they can't be communicated as a proportion of two numbers.

Normal numbers are significant in math, as they structure a subset of the genuine numbers and can be utilized to address amounts in a wide range of settings, like portions, proportions, and probabilities. They are additionally utilized broadly in polynomial math, where they structure the reason for tackling conditions and controlling articulations.

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Answer:

Here is the answer.

Step-by-step explanation:

The translation of the phrases are written below,

Answer:

Below

Step-by-step explanation:

8.3 x 10^6     < ==== the + 6   says move the decimal point to the RIGHT

8 300 000.

y = √(x+1)-3

[tex]Graph {y = sqrt(x+1)-3 [-10, 10, -5, 5]}[/tex]

Graph is a diagram that is used to represent data or information. It is a visual representation of data in the form of points, lines, bars, and other shapes. Graphs can be used to show relationships between different quantities, to compare data, and to show changes over time. Graphs are useful for quickly conveying information in an easy-to-understand visual format. They are especially useful for displaying complex data in an intuitive way.

For example, A bar graph can be used to compare the average monthly temperature of five different cities. The x-axis would show the five cities, while the y-axis would show the temperature. Bars would be drawn to represent the temperature of each city. This would make it easy to visually compare the temperatures of the different cities.

The graph of y = √(x+1)-3 is shown above.

To get three points to graph, let's work through the following examples:

When x = 0, y = √(0+1)-3 = 0-3 = -3

When x = 4, y = √(4+1)-3 = 2-3 = -1

When x = 8, y = √(8+1)-3 = 3-3 = 0

Therefore, the three points to graph are (0,-3), (4,-1), and (8, 0).

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The correct conclusions about the triangle reflections are -

        {y} - axis.

        {x} - axis.

In statistics, a quartile is a type of quantile which divides the number of data points into four parts, or quarters, of more-or-less equal size. The data must be ordered from smallest to largest to compute quartiles.

Given is the boxplot as shown in the image.

From the box - plot, we can write the results as -

Therefore, We c

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You'll need a drill bit with a diameter slightly smaller than 0.249325 inches.

A chart or formula can be used to determine the correct drill bit size for a 1/4-20 tap.

The following formula is a common method:

drill bit size = tap's major diameter - (constant x pitch)

The major diameter of a 1/4-20 tap is 0.250 inches, and the pitch (distance between threads) is 0.050 inches. Using 0.0135 as a constant (a common value for coarse threads), the calculation would be:

0.250 drill bit size (0.0135 x 0.050)

Size of drill bit = 0.250 - 0.000675

0.249325 in drill bit size

As a result, you'll need a drill bit with a diameter slightly smaller than 0.249325 inches. In practice, a drill bit size of 7/32 inch would suffice for the majority of applications.

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Answer:

no because if one of the side is 2, if we calculate semi perimeter it will be 7.5 which is greater

Binary to text conversion is the process of translating binary code, which is a series of 0s and 1s, into human-readable text. This process is necessary because computers use binary code to represent data, while humans use text.

To convert binary code to text, the binary code is first grouped into 8-bit groups called bytes. Each byte can represent a single character in the ASCII (American Standard Code for Information Interchange) character set, which includes letters, numbers, punctuation, and other symbols.

The binary code in each byte is then converted into its decimal equivalent, and the decimal value is looked up in the ASCII table to determine the corresponding character. This process is repeated for each byte in the binary code to produce the final text output.

Overall, binary to text conversion is an important process that allows humans to read and interpret data that is represented in binary code by computers.

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Answer:1. a+b/a-b

2. 8/x-y

3. 2q+p/pq^2

Don’t know how to do the last two sorry

Step-by-step explanation:

a. The value of angle y = 36°

b. The value of angle x = 57°

c. The relationship used to solve for y is sum of angles on a straight line

d. The relationship used to solve for x is sum of angles in a triangle

Triangles are polygons with 3 sides.

In ΔQPS and ΔQSR, ∠QSP + ∠QSR = 180° (sum of angles on a straight line)

Since ∠QSP = 2y and ∠QSR = 4y - 36°, we have that

2y + 4y - 36° = 180°

so, adding, we have

6y - 36° = 180°

Adding 36° to both sides, we have

6y = 180° + 36°

6y = 216°

y = 216°/6

y = 36°

In ΔQPS and ΔQSR, ∠PQS + ∠QPS +  ∠QSP = 180° (sum of angles in a triangle)

Since ∠QSP = 2y, ∠PQS = x and ∠QPS = 51°, we have that

2y + x + 51° = 180°

So, making x subject of the formula, we have that

x = 180° - 51° - 2y

x = 129° - 2y

Substituting y = 36° into the equation, we have that

x = 129° - 2y

x = 129° - 2(36°)

x = 129° - 72°

x = 57°

The relationship used to solve for y is sum of angles on a straight line

The relationship used to solve for x is sum of angles in a triangle

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Any of the given ordered pairs could be the outlier depending on the overall distribution of the data.

A pair of items that have a specific significance for the order of their placements is called an ordered pair, as the name suggests.

A point that deviates significantly from the general trend of the other data points is referred to as an outlier. The outlier point would be one that does not fit the pattern, if we assume that the other plotted points constitute a general pattern or trend.

We cannot identify with certainty which point would be the outlier without knowing the other plotted points or the context of the scatter plot. Depending on the overall distribution of the data, any of the ordered pairings that are presented could be an outlier.

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In observational studies, the variable of interest is controlled.

Hence option c is correct.

Observational study is defined as a type of study where the individuals are observed and / or certain outcomes are measured from it. No further efforts are made to influence the outcome.

Variable of interest in observational study is referred to a changing quantity that is measured for the purpose of study.

The variable of interest in observational studies are controlled in order that the data can be obtained about the way the factors influence another variable which is referred to as the response variable, or in simple words to understand the response.

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Work Shown:

a = change in distance = 492-300 = 192 miles

b = change in time = 12 weeks

c = a/b = rate of change of distance over time = speed of growth

c = (192 miles)/(12 weeks)

c = (192/12) miles per week

c = 16 miles per week

In other words, each time a week goes by, Ryan has walked another 16 miles.

For a related math concept, check out the slope formula. The slope represents the rate of change. It's useful for graphing linear equations.