Find the area of the regular polygon. Round your answer to the nearest whole number of square units.

The area is about square units. ​

Overall, consulting multiple sources is an important part of conducting research and ensuring the accuracy and credibility of the information you use in your reports.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. In between 0 and 1, probabilities are often expressed as fractions, decimals, or percentages. Probability theory is widely used in fields such as mathematics, statistics, physics, engineering, finance, and more to analyze and understand random events and phenomena.

Here,

It is important to determine if other sources are making the same claims and citing the same statistics for several reasons:

Ensuring accuracy: By consulting multiple sources, you can verify the accuracy of the claims and statistics provided in the original article. This can help you avoid relying on potentially biased or misleading information.

Assessing credibility: If other reputable sources are also making similar claims and citing the same statistics, it can increase the credibility of the information. On the other hand, if other sources are not making the same claims or are citing conflicting statistics, it may indicate that the original article is unreliable.

Providing context: By consulting multiple sources, you can gain a broader understanding of the topic at hand and the various factors that may be influencing the claims and statistics. This can help you provide more nuanced and accurate information in your report.

To know more about probability,

https://brainly.com/question/30034780

#SPJ4

Answer:

I don't get what you saying comment down below

Step-by-step explanation:

Answer:

D.

\(x > - 3\)

Step-by-step explanation:

\( - 2x - 7 > 5x + 14 \\ - 2x - 5x < 14 + 7 \\ - 7x < 21 \\ x < \frac{21}{ - 7} \\ x > - 3\)

The remaining angles and sides of the triangle ABC are as follows:Side BC = 7.25 mAngle C = 47°Angle B = 86°. The remaining angles and sides of the triangle ABC are as follows:Side BC = 7.25 m Angle C = 47°Angle B = 86°

The given triangle ABC is shown below:The sum of the angles of a triangle is 180°. Therefore, the measure of angle A is:Angle A = 180 - (47 + 47)°= 86°Now, we can apply the Law of Sines to find the remaining sides of the triangle:BC/sin(B) = AC/sin(A)

We have the values of BC, B and A. Plugging in these values, we get:7.25/sin(B) = 4/sin(86)sin(B) = (7.25 sin(86))/4sin(B) = 1.1058B = sin⁻¹(1.1058)Since sine is a ratio of two sides, the sine of any angle is always between 0 and 1. Hence, the value of sin⁻¹(1.1058) does not exist.In other words, the given triangle is impossible to construct or does not exist. Therefore, the given question is incorrect as it is based on an invalid triangle.

The remaining angles and sides of the triangle ABC are as follows:Side BC = 7.25 mAngle C = 47°Angle B = 86°.

To know more about angles visit :-

https://brainly.com/question/31818999

#SPJ11

1.) parallelogram

2.) trapezoid

3.) kite

4.) parallelogram

The parallelogram is a type of quadrilateral that has the following unique properties such as:

The kite is also a type of quadrilateral that has two pairs of adjacent equal sides with a pair of opposite angles that are equal.

Learn more about trapezoid here :

https://brainly.com/question/30042904

#SPJ1

Triangles that are similar are A and C because they have equal angles and the sides have the same scale dimensions.

To identify equal triangles we must look at the dimensions of the triangles, especially their angles and the lengths of their sides. Based on the above, we can infer that the triangles that are similar are triangle A and triangle C.

This is because both triangles have angles of 23°, 67°, and 90°. Additionally, a scale is stored between the length of its sides.

Learn more about scale in: https://brainly.com/question/1287267

#SPJ1

The solution of 4+√3 x+5=7  is x = ( - 2 ) / \(\sqrt{3}\) .

Linear Equation : An equation ( containing equal to = sign ) is called a linear equation if the highest power of variable is 1 . In order to solve linear equation in 1 variable 1 equation is enough .

Solving linear eq . in 1 variable

4+√3 x+5=7

√3 x = 7 - 5 - 4

x = ( - 2 ) / \(\sqrt{3}\)

Hence , the solution of 4+√3 x+5=7  is x = ( - 2 ) / \(\sqrt{3}\) .

To learn more on linear eqn . follow link :

https://brainly.com/question/2030026

#SPJ4

8 tbsp of dried leaves would be appropriate substitution for the recipe.

A cookbook is a written collection of recipes and instructions for preparing and cooking various types of food. It typically includes information on ingredients, measurements, cooking techniques, and serving suggestions. Cookbooks are commonly used as a reference or guide to help individuals prepare meals and create delicious dishes in their own kitchens.

The term "leaves" refers to the flattened, thin, and typically green structures that grow from the stems or branches of plants. Leaves are one of the main organs of a plant and play a vital role in photosynthesis, which is the process by which plants use sunlight, carbon dioxide, and water to produce energy in the form of carbohydrates and release oxygen as a byproduct.

Since 1 cup is equivalent to 16 tablespoons, 1/4 cup would be equivalent to 1/4 * 16 = 4 tablespoons. Therefore, to substitute for 1/4 cup of fresh mint leaves, a person would need 4 tablespoons of dried mint leaves. Since the recipe calls for 2 tablespoons of fresh mint leaves, the equivalent amount of dried mint leaves would be 2 * 4 = 8 tablespoons. Thus, 8 tablespoons of dried mint leaves would be the appropriate substitution for the recipe.

Learn more about substitution here:

https://brainly.com/question/13058734

#SPJ1

Answer:

If each box of cookies cost $4: -15.65

If both boxes of cookies together cost $4: -11.65

Answer:

4 and 5

Step-by-step explanation:

cube root of 66 is 4.041240021

\(-5x-9y=3+5x-9y=-2\)

Consider the first equation. Subtract 5x from both sides.

\(-5x-9y-5x=3-9y\)

Combine -5xand -5x to get -10x

\(-10x-9y=3-9y\)

Add 9y to both sides.

\(-10x-9y+9y=3\)

Combine -9y and 9y to get 0

\(-10x=3\)

Divide both sides by -10

\(x=-\dfrac{3}{10}\)

Consider the second equation. Insert the known values of variables into the equation.

\(3+5\huge \text(- \dfrac{3}{10} \huge \text)-9y = -2\)

after solving a lot you'll get. \(y=\dfrac{7}{10}\)

\(\bold{so} \ \bold{x}=\bold{\dfrac{3}{10}}\)

\(\bold{y}=\bold{\dfrac{7}{10}}\)

To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.

1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:

V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49

We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:

V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)

Here is a more detailed explanation of the substitution:

In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.

When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3

In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.

When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)

To know more about root click here

brainly.com/question/16880173

#SPJ11

To calculate LC's dose in milligrams (mg), we need to first convert her weight from pounds to kilograms, which is 22/2.2 = 10 kg (rounded to the nearest whole number). Then we multiply her weight by the usual dose of 7 mg/kg/dose: 10 x 7 = 70 mg. This is the total amount of cefdinir LC will take with each dose.

To complete her course of therapy, LC will be taking two doses per day for 10 days, which means she will take a total of 20 doses. Each dose is 70 mg, so LC will take a total of 1400 mg throughout her course of therapy.

To find out the dose in milliliters (mL) that LC will take, we need to know the concentration of the cefdinir suspension. The concentration is given as 125mg/5mL, which means each 5 mL of suspension contains 125 mg of cefdinir. To calculate the dose in mL, we divide the total dose of 70 mg by the concentration of the suspension (125 mg/5 mL): 70/125 x 5 = 2.8 mL. Therefore, LC will take 2.8 mL of cefdinir suspension with each dose.

To complete her course of therapy, LC will take a total of 20 doses, and each dose is 2.8 mL. So LC will take a total of 56 mL of cefdinir suspension throughout her course of therapy.

Each bottle of cefdinir is 60 mL, and LC needs a total of 56 mL for her course of therapy. Therefore, LC will need one bottle of cefdinir to complete her course of therapy.

Learn more about pounds  here:

https://brainly.com/question/19128714

#SPJ11

In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.

The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.

To know more about Variable  visit :

https://brainly.com/question/29583350

#SPJ11

Answer:

83

Step-by-step explanation:

68-(-15)=68+15=83

Approximately 25% of the values in the dataset are above the third quartile.

The third quartile, also known as the upper quartile, is the value below which 75% of the data lies. Therefore, if approximately 25% of the values are above the third quartile, it implies that the remaining 75% of the values are below or equal to the third quartile.

To calculate the third quartile, we need to sort the dataset in ascending order and find the median of the upper half. Once we have the third quartile value, we can determine the percentage of values above it by counting the number of values in the dataset that are greater than the third quartile and dividing it by the total number of values.

For example, if we have a dataset with 100 values, we would find the third quartile, let's say it is 80. Then we count the number of values greater than 80, let's say there are 20. So the percentage of values above the third quartile would be (20/100) * 100 = 20%.

To know more about quartiles, refer here:

https://brainly.com/question/29809572#

#SPJ11

Answer:

Step-by-step explanation:

10x-35=12x +  12

10X-12X=12+35

-2x=47

2x=-47

x=-47/2

In Exercises 23-26 and In Exercises 27-36 , the trigonometric function by memory and by constructing an appropriate triangle for the given special angle are mentioned below

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

1. Exercises 23-26

23. (a) cos 60° = 0.5

24. (a) cot 45° = 0.7071

25. (a) sin 45° =  0.7071

26. (a) sin 60° = 0.8660

(b) cos 30° = 0.8660

(b) cos 45° =  0.7071

(b) cos 30° = 0.8660

(b) tan 45° = 1

27. (a) sin 10° = 0.9958

28. (a) tan 23.5° = 0.4348

29. (a) sin 16.35° = 0.2815

(c) tan 60° = 1.732

(c) cosec 45° = 1.4142

(c) tan 30° = 0.5773

(c) sec 30° = 1.1547

2.  Exercises 27-36

(b) cos 80° = 0.1736

(b) cot 66.5° = 0.4348

(b) cosec 16.35° = 3.5523

To know more about trigonometry check:

https://brainly.com/question/29002217

#SPJ1

True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

To know more about correlation coefficient visit :-

https://brainly.com/question/29978658

#SPJ11

The expected value (e(x)) of the given probability mass function can be calculated as 1.36.

To find the expected value (e(x)), we need to calculate the weighted average of the values of x using their respective probabilities. The given probability mass function is F(x) = (2x + 1)/25.

We can calculate the expected value using the formula:

e(x) = Σ(x * P(x))

where Σ denotes the sum, x represents the values, and P(x) represents the probabilities.

For the given function, the values of x are 0, 1, 2, 3, and 4.

Plugging in the values into the formula:

e(x) = (0 * P(0)) + (1 * P(1)) + (2 * P(2)) + (3 * P(3)) + (4 * P(4))

Calculating the probabilities for each value:

P(0) = (2 * 0 + 1)/25 = 1/25

P(1) = (2 * 1 + 1)/25 = 3/25

P(2) = (2 * 2 + 1)/25 = 5/25 = 1/5

P(3) = (2 * 3 + 1)/25 = 7/25

P(4) = (2 * 4 + 1)/25 = 9/25

Substituting these values into the expected value formula:

e(x) = (0 * 1/25) + (1 * 3/25) + (2 * 1/5) + (3 * 7/25) + (4 * 9/25)

= 0 + 3/25 + 2/5 + 21/25 + 36/25

= 1.36

Therefore, the expected value (e(x)) of this probability mass function is 1.36. Thus, the correct option is b. 1.36.

Learn more about mass function here:

https://brainly.com/question/9859433

#SPJ11

Answer:

(x, y) = (-1, 1)

Step-by-step explanation:

\(y = 2x +3 ----(1) \\\\y = x + 2 ----(2)\\\\substitute \ (2) \ in \ (1) : x + 2 = 2x + 3\)

\(x - 2x = 3 - 2\\\\-x = 1\\\\x = -1\\\\Substitute \ x = -1 \ in \ (2) : y = -1 + 2 => y = 1\)

The measure of angle ∠4 is 115°, we can conclude that the measure of corresponding angle ∠2 is also 115°.

Corresponding angles are formed when a transversal intersects two parallel lines. In the given figure, if the lines on either side of the transversal are parallel, then angle ∠4 and angle ∠2 are corresponding angles.

The key property of corresponding angles is that they have equal measures. In other words, if the measure of angle ∠4 is 115°, then the measure of corresponding angle ∠2 will also be 115°. This is because corresponding angles are "matching" angles that are formed at the same position when a transversal intersects parallel lines.

Therefore, in the given figure, if the measure of angle ∠4 is 115°, we can conclude that the measure of corresponding angle ∠2 is also 115°.

To know more about corresponding angle click here :

https://brainly.com/question/31937531

#SPJ4

The population will be 40 thousnd after 22.5 years,and 60 thousand after 34.4 years.

First, we want to estimate the number of years that takes to reach 40 thousand, to estimate that we need to look at the graph.

We can see that when y = 40, the value of x is between 20 and 25 (almost in the middle)

So here we estimate that the answer is 22.5

b) Now we want to estimate it using the equation

p(x) = 18*e^(0.035*x)

We want to find how many years it takes to reach a population of 60 thousand, then we need to solve:

p(x) = 18*e^(0.035*x) = 60

        e^(0.035*x) = 60/18

Using the natural logarithm in both sides:

ln( e^(0.035*x))  = ln(60/18)

0.035*x =  ln(60/18)

x =  ln(60/18)/0.035 = 34.4

Learn more about populations at:

https://brainly.com/question/25896797

#SPJ1

Answer:

x = 1

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

50.27 cm

Step-by-step explanation:

We Know

The area of the circle = r² · π

Area of circle = 64π cm²

r² · π = 64π

r² = 64

r = 8 cm

Circumference of circle = 2 · r · π

We Take

2 · 8 · (3.1415926) ≈ 50.27 cm

So, the circumference of the circle is 50.27 cm.

Answer: C=16π cm or 50.24 cm

Step-by-step explanation:

The formula for area and circumference are similar with slight differences.

\(C=2\pi r\)

\(A=\pi r^2\)

Notice that circumference and area both have \(\pi\) and radius.

\(64\pi=\pi r^2\)        [divide both sides by \(\pi\)]

\(64=r^2\)             [square root both sides]

\(r=8\)

Now that we have radius, we can plug that into the circumference formula to find the circumference.

\(C=2\pi r\)          [plug in radius]

\(C=2\pi 8\)          [combine like terms]

\(C=16\pi\)

The circumference Is C=16π cm. We can round π to 3.14.

The other way to write the answer is 50.24 cm.