What is the best approximation for the area of a circle with a diameter of 13 meters?

Use 3.14 to approximate pi.

A) 40.8 m²
B) 81.6 m²
C) 132.7 m²
D) 530.7 m²

Final answer:

The length of the square's diagonal with side lengths of 7 inches is found using the Pythagorean theorem, leading to a diagonal of approximately 9.899 inches.

Explanation:

To find the length of the square's diagonal when the side lengths are 7 inches, we can use the Pythagorean theorem. The diagonal of a square creates two right triangles, with the diagonal being the hypotenuse. You can think of this as half of the square divided along the diagonal. Each of these triangles has two legs that are each equal to the side of the square and a hypotenuse which is the diagonal we want to find.

The formula for the Pythagorean theorem is a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse. Since the legs are both 7 inches (the side length of the square), we have:

7² + 7² = c²
49 + 49 = c²
98 = c²

This simplifies to:

c = √98
c ≈ 9.899 inches (rounded to three decimal places)

Therefore, the diagonal of the square is approximately 9.899 inches long.

Answer:

Step-by-step explanation:

In a survey conducted by a supermarket to find out how many customers like apple juice, the population of the survey would be all customers of the supermarket. The population in a survey defines the group the research wants to gain information about and determine the applicability of the findings.

In the context of survey research, a population refers to the entire group about which information is wanted. In your scenario, where a supermarket is conducting a survey to find out how many customers like apple juice, the population of the survey would be all customers of the supermarket. It's important to identify the population in a survey because it helps determine the scope of the study and how broadly the findings can be applied.

For example, if you were a marketing manager for an electronics chain store wanting information about the ages of its customers, the population would also be all customers of the store. Similarly, if a radio station wants to know its listeners' preferences, the population would be all listeners of that station. The aim is to collect data that is representative of this population, be it through sampling or other data collection methods.

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The population of the supermarket survey is the entire customer base, including individuals with varying shopping frequencies, aimed at determining the approximate number of customers who like apple juice through representative insights from the diverse customer demographic.

The population of a survey refers to the entire group that the survey aims to represent or provide insights into. In this case, the supermarket is conducting a survey to find the approximate number of its customers who like apple juice. The population of the survey, therefore, is the entire customer base of the supermarket.

To determine the population, the supermarket would ideally want to include all its customers who may have preferences or opinions about apple juice. This could include individuals who have shopped at the supermarket recently or regularly. The population might also encompass a broader range, considering both frequent and occasional customers to ensure a more representative sample of the supermarket's clientele.

In summary, the population of the survey is the entire customer base of the supermarket, encompassing individuals who may have opinions or preferences regarding apple juice.

Answer:

The correct answer is: A

Step-by-step explanation:

x+5

I hope this helps!

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Answer:

p=$500 is the unit price to get maximum revenue

Maximum revenue = $1,000,000

Step-by-step explanation:

the revenue R in dollars is:

[tex]R(p)= -4p^2+4000p[/tex]

To find out the unit price to get maximum revenue we find out the vertex

In the given quadratic equation a=-4 and b= 4000

Formula to find out the x coordinate of vertex is

[tex]x=\frac{-b}{2a}[/tex], plug in the values

[tex]x=\frac{-4000}{2(-4)}[/tex]

x=500

So p=$500 is the unit price to get maximum revenue

Now we find the maximum revenue . Plug in 500 for p in the given equation

[tex]R(p)= -4p^2+4000p[/tex]

[tex]R(500)= -4(500)^2+4000(500)[/tex]

R(500)=1000000

Maximum revenue = $1,000,000

Answer: 2.2

Step-by-step explanation: I am in the test

The question seems to require using ordered pairs to locate Sam and the theater, but lacks the specific coordinates or context needed for a precise answer. Ordered pairs are essential in geometry for representing positions.

The question seems to pertain to locating positions or objects using ordered pairs, which falls under the domain of algebra and geometry in mathematics. An ordered pair (x, y) is used to define the positions on a plane, with 'x' representing the horizontal component and 'y' representing the vertical component.

Unfortunately, the question lacks specific information about the coordinates of Sam and the theater, making it impossible to provide exact ordered pairs without additional context. In scenarios involving maps or spatial planning such as finding locations in a city or arranging objects with a spatial relation to each other, ordered pairs serve as a crucial means of representation.

Exercises involving ordered pairs deepen understanding of coordinate systems, which are fundamental in geometry and crucial for various applications in science and engineering.

Answer:

the guy is right except number 2

Step-by-step explanation:

if the car turns left that means it went west and since 4th and 3rd street are parallel and King Ave. is a transparent then street 4 and 3 have the same angles. y is 75 and a vertical that means the car makes a 75 degrees angles .

sorry for the bad explanation

To find the diameter of the larger gear, we set up an equation based on the information that the smaller gear's diameter is 2.5cm more than a quarter of the larger gear's diameter. Solving this, the diameter of the larger gear is found to be 54cm.

The student has asked for the diameter of a larger gear when given that the diameter of a smaller gear is 16cm, which is 2.5cm more than one quarter of the larger gear's diameter. To find the diameter of the larger gear, we can set up an equation where d represents the diameter of the larger gear.

According to the question:
16cm =  1/4d + 2.5cm
To solve for the diameter d, we subtract 2.5cm from both sides and then multiply by 4:

The diameter of the larger gear is therefore 54cm.

The probability of selecting a black sock is 5/6 and there are 24 socks in total. By setting up and solving a simple equation, we find that there are 20 black socks in the drawer.

This question is about the concept of probability in mathematics. The probability of an event occurring is calculated by the number of desired outcomes divided by the total number of possible outcomes. In this case, we are given that the probability of reaching into a drawer without looking and magically pulling out a black sock is 5/6. With a total of 24 socks in the drawer, to figure out how many socks are black, we can set up a simple equation where x represents the number of black socks. Thus, x/24 = 5/6. Solving this equation, we get x = (5/6) * 24, which simplifies to x = 20. So, there are 20 black socks in the drawer. That's indeed a lot of black socks!

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Answer:

A

Step-by-step explanation:

All rectangles are parallelograms and all their sides are parallel.

Answer:

B

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer

The Answer to your question in 6

Step-by-step explanation:

The formula to find the area is

r^2 * pi = area

we know that the area is 113.04 and pi = 3.14

so

x^2 * 3.14 = 113.04

divide both sides by 3.14

x^2 = 36

now for the final step we need to find the root of both sides

√x^2 = √36

x = 6

so the radius is 6.

The mathematical expression for the temperature measured can be obtained as -9°.

A measurement unit is a unit to measure certain quantities.

For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.

To find the measurement of a new quantity knows units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.

The given measure of the temperature is 9°.

Since, the convention to take measured figures with the values below zero is negative.

The given temperature can be written as -9°.

Hence, the given temperature can be written as -9°.

To know more about measurement unit click on,

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Carbon-14 dating is used to determine the age of fossils by comparing the amount of carbon-14 in the specimen to the amount in the atmosphere. The half-life of carbon-14 is 5730 years, and by analyzing the percentage of carbon-14 remaining, the age of the fossil can be calculated.

Carbon-14 dating is used to determine the age of fossils. Carbon-14 (14C) is a radioisotope that is present in living organisms while they are alive, and it starts to decay after they die. The half-life of carbon-14 is 5730 years, which means that after this time period, half of the original carbon-14 will have decayed.

In the case of the saber-toothed cat fossil, the paleontologist analyzed the specimen and found that it contained 15% of its original carbon-14. By comparing this percentage to the amount of carbon-14 in the atmosphere, which is known, they can determine the age of the fossil.

Since carbon-14 dating is accurate up to about 50,000 years, this method is suitable for dating the fossil. The age of the fossil can be calculated by considering the amount of carbon-14 remaining and the known half-life of the isotope.

Answer:

THE ANSWER IS B OR 12

Step-by-step explanation:

Final answer:

The number of playlists that can be created with 38 songs allowing for the repetition of 5 songs is calculated using combinations with repetition, resulting in a total of 850,668 possible playlists.

Explanation:

The question relates to the number of different ways we can create playlists from 38 songs, with the possibility of repeating 5 songs in each playlist. To calculate the number of different playlists that can be made by repeating songs, we need to use combinations with repetition. This is a concept in combinatorics which allows for the selection of items with replacements.

We can represent the problem with a formula used for combinations with repetition: (n + r - 1) choose r, where n is the total number of options (in this case, 38 songs) and r is the number of choices to make (in this case, repeating 5 songs). The formula becomes (38 + 5 - 1) choose 5, which simplifies to 42 choose 5. Using the combination formula, we can compute the total number of possible playlists as follows:

C(42, 5) = 42! / (5!(42-5)!) = 42! / (5!37!) = 850,668

This number represents the total number of playlists we can create with 38 songs, allowing for the repetition of 5 songs on each playlist.

Answer:

Correct answer is D the last on in the pic

Answer: 28.26

Step-by-step explanation: I think it's 28.26, I tried

Answer:

Step-by-step explanation:

hi

Answer:

B. 1,040 cubic feet

Step-by-step explanation:

I just took a test with this question and this was the right answer

~Please mark me as brainliest : )

Answer:

I hope this helps

Step-by-step explanation: