If john has a new house. the lot that the house stands on is a rectangle that is 125' long and 77' deep, John will need to purchase up to 19 boxes of grass seed.
First, we need to calculate the total area of the lot. The area of a rectangle is given by its length multiplied by its width, so:
Area of lot = 125 ft * 77 ft = 9625 square feet
Next, we need to determine the area of the portion of the lot that is not covered by the house. Since the house is located near the center of the lot, we can find the area of the rectangle that represents the space around the house and subtract it from the total area of the lot:
Area around house = (125 ft - 40 ft - 40 ft)/2 * (77 ft - 36 ft - 36 ft)/2 = 22.5 ft * 16.5 ft = 371.25 square feet
Area to be planted = 9625 square feet - 371.25 square feet = 9253.75 square feet
Now we can calculate the number of boxes of grass seed needed by dividing the area to be planted by the coverage of each box:
Number of boxes = 9253.75 square feet / 500 square feet per box = 18.51 boxes
Since you can't purchase a fraction of a box, John will need to round up to 19 boxes of grass seed.
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In Apextown there are 320,000 29-year-olds. Based on the table below, how many are not expected to be alive in a year? • A. 422 • B. 419 • C. 315 • D. 485
The number of 29 year olds who are not expected to be alive in a year would be A. 422 people.
What does the table show about Apextown ?We see that in Apextown, the percentage of people who are expected to be alive in a year, based on their ages, is given.
For those who are 29 years of age, we see that the percentage of people who are expected to be alive in a year would be 99. 868 %. This means that the number of 29 year olds who would not be alive would be:
= Number of 29 years x ( 1 - percentage to be alive)
= 320, 000 x ( 1 - 99. 868 % )
= 320, 000 x 0. 00132
= 422. 4
= 422 people
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Which statement is true?
f 0.09>78
g 8.0×10-3>6%
h 78<8.0×10-3
j 6%<0.09
Answer:h
Step-by-step explanation:
Use your knowledge of similar triangles to explain why the construction in the image divides the line segment into equal parts
This image show how to divide a given line segment into a number of equal parts by using a compass and ruler.
Describe Geometry?Geometry is a branch of mathematics that deals with the study of the size, shape, and properties of objects in space. It is concerned with the study of points, lines, planes, angles, and curves, and how they relate to each other.
Geometry is divided into two main branches: plane geometry and solid geometry. Plane geometry deals with two-dimensional shapes, such as triangles, circles, and polygons, while solid geometry deals with three-dimensional shapes, such as spheres, cones, and cubes.
In geometry, the properties of objects are described using a variety of concepts and tools. These include:
Points: A point is a location in space that has no size or shape.
Lines: A line is a straight path that extends indefinitely in both directions.
Angles: An angle is the measure of the amount of turn between two lines or line segments.
Polygons: A polygon is a closed shape made up of straight lines.
Circles: A circle is a round shape with a constant radius.
Symmetry: Symmetry is a property of shapes that have a balanced arrangement of parts.
Congruence: Congruence is a property of shapes that have the same size and shape.
This image show how to divide a given line segment into a number of equal parts by using a compass and ruler. First, draw the line AB. Secondly, draw a line above and divide into 5 equal distances to make a line AC. Third, using a compass by getting the distance of point C and B to be equal in the distance of point A and D, also getting the distance of point C to A to be equal to point B and D, then to make the Line DB. Finally divide into 5 equal parts by compass.
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The complete question is:
The graph represents a relation where x represents the independent variable and y represents the dependent variable. a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma 3, at negative 1 comma negative 2, at 0 comma 2, and at 5 comma 1 What is the domain of the relation?
{−5, −2, 0, 1, 2, 3, 5}
{−5, −2, −1, 0, 5}
{−5, −2, 0, 2, 5}
{−2, 0, 1, 2}
The domain of the relation include the following: B. {−5, −2, −1, 0, 5}.
What is a domain?In Mathematics and Geometry, a domain is the set of all real numbers for which a particular function is defined.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown above, we can reasonably and logically deduce the following domain and range:
Domain = {−5, −2, −1, 0, 5}
Range = {1, 0, 3, -2, 2, 1}.
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A deck of cards is shuffled, if we want to know the chance that the top card is the ace of spades or the bottom card is the ace of spades, we will use: Neither of the rules Addition rule Multiplication rule & Either of the rules
We will use the "Either of the rules" to calculate the probability that either the top card is the ace of spades or the bottom card is the ace of spades.
The either of the rules states that the probability of either of two mutually exclusive events occurring is the sum of their individual probabilities. In this case, the events are the top card being the ace of spades and the bottom card being the ace of spades. Since the two events are mutually exclusive (the ace of spades cannot be both at the top and at the bottom of the deck), we can add their probabilities to get the total probability.
The probability of the top card being the ace of spades is 1/52 (since there is only one ace of spades in the deck of 52 cards), and the probability of the bottom card being the ace of spades is also 1/52 (assuming that the deck has been sufficiently shuffled). Therefore, the probability of either the top card or the bottom card being the ace of spades is:
P(top or bottom is ace of spades) = P(top is ace of spades) + P(bottom is ace of spades)
= 1/52 + 1/52
= 2/52
= 1/26
So the chance that either the top card is the ace of spades or the bottom card is the ace of spades is 1/26 or approximately 0.038 or 3.8%.
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The probability is 2/52 or 1/26.
To find the chance that the top card is the ace of spades or the bottom card is the ace of spades, you will use the
Addition rule.
Calculate the probability of the top card being the ace of spades:
There are 52 cards in a deck, and 1 ace of spades, so the probability is 1/52.
Calculate the probability of the bottom card being the ace of spades:
This is also 1/52 since there's still 1 ace of spades among the 52 cards.
Apply the Addition rule:
Add the probabilities together, then subtract the probability of both events happening at the same time (which is 0, as
the ace of spades can't be in both positions).
So, the probability is (1/52) + (1/52) - 0 = 2/52 or 1/26.
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How much would the volume of this cube decrease if you reduced the length of each side by 3 cm?
Answer:
Original volume: 6^3 = 216 cubic cm
New volume: 3^3 = 27 cubic cm
The volume of this cube would decrease by 189 cubic centimeters if the length of each side was reduced from 6 cm to 3 cm.
Creating an Exponential Model
In this activity, you will formulate and solve an exponential equation that models a real-world situation.
Emma doesn't have experience using credit cards. In fact, she just got her first one. She is also about to start her first year
of college. She uses her new credit card to purchase textbooks for her classes. The total comes to $300. These are the
terms of her credit card:
• It has a 15% annual interest rate.
• The interest is compounded monthly
• The card has $0 minimum payments for the first four years it is active.
The expression that models this situation is P(1 + r/n)^nt, where (1 + r/n) represents the growth factor of the interest rate. Emma also wonders how long it will take her balance of $300 to reach $450
It will take Emma about 4.04 years for her balance to reach $450, assuming she doesn't make any payments and the interest rate remains constant.
The formula that models this situation is P(1 + r/n)ⁿˣ, where P is the principal (the initial amount borrowed or invested), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time (in years) that the money is invested or borrowed.
In this case, the principal is $300, the annual interest rate is 15%, the interest is compounded monthly (so n = 12), and we want to find the time it takes for the balance to reach $450.
P = 300(1 + 0.15/12)¹²ˣ
To find out how long it will take for Emma's balance to reach $450, we need to solve for t in the equation above. We can do this by using logarithms to isolate the variable t:
=> log(1.5) = 12t x log(1 + 0.15/12),
we can use the properties of logarithms. Specifically, we can use the property that log(a x b) = log(a) + log(b) to separate the logarithm on the right side of the equation:
log(1.5) = 12t x log(1 + 0.15/12)
log(1.5) = log[(1 + 0.15/12)¹²ˣ] (using log(a x b) = log(a) + log(b))
Now we have two logarithms that are equal to each other. Therefore, we can take the exponential of both sides to eliminate the logarithms:
1.5 = (1 + 0.15/12)¹²ˣ
Simplifying this expression further, we get:
1.5 = (1.0125)¹²ˣ]
log(1.5) = log[(1.0125)¹²ˣ]]
log(1.5) = 12t x log(1.0125)
Finally, we can solve for t by dividing both sides by 12 x log(1.0125):
log(1.5) / [12 x log(1.0125)] = t
t ≈ 4.04
Therefore, the simplified expression is t ≈ 4.04.
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Which of the following equations represents a linear function?
y equals two thirds times x squared
x = 5
y equals negative one fourth times x plus 5
2x + 7 = 12
The equation "y equals negative one fourth times x plus 5" represents a linear function.
Selecting the linear functions?A linear function is a function whose graph is a straight line. The equation of a linear function can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
Out of the given equations, only "y equals negative one fourth times x plus 5" can be written in the form y = mx + b, where m = -1/4 and b = 5.
Therefore, the equation "y equals negative one fourth times x plus 5" represents a linear function.
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5- When the equation x²- 6x + 9 = 49 is transformed into the equation
(x - p)² = q, what are the values for p and q?
A. -3 and 40
B. -3 and 49
C. 3 and 40
D. 3 and 49
The values for p and q in the equation (x² - 6x + 9 = 49) transformed into (x - p)² = q are p = 3 and q = 40, so the answer is option A: -3 and 40.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of variables, constants, and mathematical operators such as addition, subtraction, multiplication, and division. Equations are used to solve problems and find unknown values of variables.
In the given question,
To transform the equation x² - 6x + 9 = 49 into the equation (x - p)² = q, we can first subtract 49 from both sides to get:
x² - 6x - 40 = 0
Next, we complete the square by adding (6/2)² = 9 to both sides:
x² - 6x + 9 - 40 + 9 = 0 + 9
(x - 3)² - 22 = 0
Now we can see that p = 3 and q = 22.
Therefore, the answer is D) 3 and 49.
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Establishing causality is often a main focus of statistical studies. What is the best type of study to conduct to establish causality? Use the situation in this task to support your answer
The best type of study is RCT randomized controlled trial.
What is statistical studies?The practise of gathering and analysing data with the purpose of identifying patterns and trends is known as statistical analysis. It is a technique for eliminating bias from data evaluation by using numerical analysis. This method is beneficial for gathering research interpretations, creating statistical models, and organising surveys and studies.
What is causality?In the false idea that there must be an underlying causal relationship because the data reveals a correlation, people frequently misunderstand and misuse the concept of causality in statistics. The best method for proving that two variables are causally related is to utillize a controlled study.
Randomised controlled trials (RCTs) are the most effective study design for proving causality. The treatment group in an RCT receives the intervention under study, whilst the control group either receives no intervention or a placebo. Participants are then randomly assigned to one of the two groups. The RCT helps to adjust for confounding variables and demonstrate a cause-and-effect relationship between the intervention and the result by randomly allocating participants.
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rebecca and michael took a survey of the number of siblings that each of their classmate had. what percent of the total classmates have 2 siblings
The percentage of total classmates that have 2 siblings is calculated as follows:
Percentage = number of students with 2 siblings / total number of students x 100%.
How to obtain the percentage?Before obtaining the percentage, we must obtain the proportion, which is given by the division of the number of desired outcomes by the number of total outcomes, as follows:
number of students with 2 siblings / total number of students.
Then the percentage is obtained multiplying by 100%, as follows:
Percentage = number of students with 2 siblings / total number of students x 100%.
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GIVING 50 POINTS, BRAINLYEST, 5 STARS, AND THANKS IF YOU ANSWER CORRECTLY!!!
A coin is flipped at the start of every game to determine if Team A (heads) or Team B (tails) will get the ball first.
Part A: Find the theoretical probability of a fair coin landing on heads. (2 points)
Part B: Flip a coin 15 times and record the frequency of each outcome. (4 points)
Part C: Determine the experimental probability of landing on heads. (4 points)
Part D: Compare the theoretical and experimental probabilities. Explain your answer. (2 points)
I need this ASAP PLEASE !!
How many solutions does the system of linear equations shown in the following graph have?
A . 0
B. 1
C. 5
D. Infinity
Answer:4
Step-by-step explanation:
The interior angles formed by the sides of a regular octagon have measures that total 1080. What is the measure of each angel
Step-by-step explanation:
Welll.... there are EIGHT of them that total 1080
1080 / 8 = 135 degrees each
Almed Company reported the following information for 2013 and 2014.Prepaid insurance, December 31, 2013 $ 2,400Prepaid insurance, December 31, 2014 1,500Insurance expense--2014 14,200How much cash was paid for insurance during 2014?A. $13,300B. $14,200C. $15,100D. $15,700
Cash paid for insurance during 2014 was $15,100.The following formula can be used to determine the cash spent on insurance in 2014:
Insurance expense in 2014 minus an increase in prepaid insurance = Cash paid for insurance.
The difference between the prepaid insurance balance at December 31, 2014, and December 31, 2013, can be used to compute the rise in prepaid insurance:
Prepaid insurance at December 31, 2014 minus Prepaid insurance at December 31, 2013 equals $1,500 minus $2,400, or -$900.
The fact that the prepaid insurance balance fell between 2013 and 2014 indicates that the business used more insurance coverage than it had purchased for the year. As a result, the 2014 insurance premiums paid in cash are:
Insurance expense for 2014 minus the increase in prepaid insurance is $14,200 - (-$900) = $15,100 in cash paid for insurance.
The correct response is (C) $15,100.
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Solve. Round your answer to the nearest thousandth.
Answer: 0.8982
Step-by-step explanation:
math
Answer:
x ≈ 0.898
Step-by-step explanation:
using the rule of logarithms
log [tex]x^{n}[/tex] = n log x
given
[tex]6^{x}[/tex] = 5 ( take natural logarithm ln of both sides )
ln [tex]6^{x}[/tex] = ln 5
x ln 6 = ln 5 ( divide both sides by ln 6 )
x = [tex]\frac{ln5}{ln6}[/tex] ≈ 0.898 ( to the nearest thousandth )
What are the values of x in the equation x2 – 6x + 9 = 25? a. x = –2 or x = 8b. x = –1 or x = –11c. x = 1 or x = 11 d. x = 2 or x = –8
Answer:
a
Step-by-step explanation:
x² - 6x + 9 = 25 ( subtract 25 from both sides )
x² - 6x - 16 = 0 ← in standard form
(x + 2)(x - 8) = 0 ← in factored form
equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 8 = 0 ⇒ x = 8
Solve for length of segment c.
3 cm
12 cm
18 cm
C = [?] cm
If two segments intersect inside
or outside a circle: ab = cd
The value of c for the intersecting secants is derived to be equal to 2 cm
What is the intersecting secant theoremThe intersecting secant theorem, also known as the secant-secant theorem, states that when two secant lines intersect outside a circle, the product of the length of one secant segment and its external segment is equal to the product of the length of the other secant segment and its external segment.
c × 18 cm = 3 cm × 12 cm
c18 cm = 36 cm²
c = 36 cm²/18 cm
c = 2 cm
Therefore, the value of c for the intersecting secants is derived to be equal to 2 cm.
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Answer:
c=2cm
Step-by-step explanation:
ab=cd
3•12=18•c
36=18(c)
36/18=2
18(c)=c
c=2
Kenji packed an exercise ball into a cylindrical package. The cylindrical package is made out of plastic. How much plastic was used to make the package? Express your answer in terms of π. Enter your answer in the box.
48πft² is the amount of plastic was used to make the packages.
Define cylinder?A cylinder is a three-dimensional geometric shape that consists of two parallel circular bases connected by a curved surface. It can be thought of as a solid object with a circular cross-section. Cylinders are commonly used in engineering, architecture, and mathematics.
Explain sphere?A sphere is a three-dimensional geometric object that is perfectly round in shape, like a ball. It is defined as the set of all points in space that are equidistant from a given point, called the center. Spheres are commonly used in mathematics, physics, and engineering to model objects such as planets, bubbles, and particles.
Surface area= 2×base area+lateral area
= 2πr²+πd×h
=2π×3²+π×(3×2)×5
=2π×9+30π
=(18π+30π)
=48πft²
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what is 493 square rooted
Given right triangle
�
�
�
ABC with altitude
�
�
‾
BD
drawn to hypotenuse
�
�
‾
AC
. If
�
�
=
20
AD=20 and
�
�
=
14
,
DC=14, what is the length of
�
�
‾
BD
in simplest radical form?
The length of side BD which is the altitude of the triangle is 2√(70)
How to find the length of BDThe length of BD is solved using similar triangles. This is defined by triangles formed from triangle ABC and they include
triangle ABD and triangle CBDLet the altitude be h, hence we have the formula of the proportions as
AD / h = h / DC
plugging the values gives
20 / h = h / 14
h^2 = 20 * 14
h = √(20 * 14 )
h = √(280)
h = 2√(70)
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What is the area of the shaded region in the figure below? (7.G.6)
Answer:
The area of the shaded region is 21 square units.
7 × 3 = 21 square units
Simplify the expression.
−7+11+ (−3) + 9 =
Answer:
10
Step-by-step explanation:
Answer: Simple. The answer is 10.
19PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY
Using trigonometric functions, we can find the value of the missing sides as follows:
AC = 15.48units.
AB = 9units.
Define trigonometric functions?The right triangle's angle serves as the domain input value for the six fundamental trigonometric operations, which return a range of numbers as their output. The angle, expressed in degrees or radians, is the domain of the trigonometric function of f(x) = sin, also referred to as the "trig function," and its range is [-1, 1]. In terms of their domain and scope, the other functions are comparable. Algebra, geometry, and calculus all make extensive use of trigonometric functions.
Here in the question,
As per the trigonometric function:
Sin30° = opposite side/hypotenuse
⇒ 1/2 = AB/18
Cross multiplying:
⇒ AB = 18/2
⇒ AB = 9units.
Now,
Cos30° = adjacent side/hypotenuse
⇒ 0.86 = AC/18
Cross multiplying:
⇒ AC = 15.48units.
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T/F If the equilibrium wage in the market for unskilled labor is $8.00 per hour, and the government sets a minimum wage at $7.50 per hour, unskilled workers will receive a pay cut of about 50 cents per hour.
The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.
The wage rate remains unchanged, and the labor market remains in balance.
The statement is false.
False.
The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.
The government then sets a minimum wage at $7.50 per hour.
Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).
In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.
The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.
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One of the players scored 13.7 points per game with 4.1 free throw attempts per game. How does this compare to what the model predicts for this player?
if the player in question scored 13.7 points per game with 4.1 free throw attempts per game, his performance is slightly below what the model predicts.
How to solve the question?
To compare the player's performance to what the model predicts, we need to know the factors that the model considers when making predictions. Depending on the complexity of the model, it may take into account a variety of factors, such as the player's position, age, height, weight, shooting percentage, and team performance.
Assuming that we have a relatively simple model that takes into account the player's shooting percentage and free throw attempts, we can make a rough estimate of how the player's performance compares to what the model predicts.
Let's say that the model predicts that a player with a shooting percentage of 50% and 4 free throw attempts per game would score an average of 15 points per game. If the player in question has a shooting percentage of 45%, we can adjust the prediction accordingly. Using a simple linear regression, we can estimate that the player's expected points per game would be:
Expected points per game = 15 - (50 - 45) * 0.2 = 14
So if the player in question scored 13.7 points per game with 4.1 free throw attempts per game, his performance is slightly below what the model predicts. However, it's important to note that this is just a rough estimate based on a simple model, and there may be many other factors that could affect the player's performance, such as injuries, fatigue, or changes in the team's strategy. Therefore, we should not rely solely on statistical models to evaluate a player's performance, but also consider other factors such as the player's overall contribution to the team and their ability to make key plays in crucial moments.
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a bridge crosses a river that is 1,400 feet wide. one bank of the river holds of the bridge while the other holds of the bridge. how long is the bridge?
The length of the bridge is 980 feet.
What is the length of a bridge crossing a 1,400 feet wide river if one bank holds 3/7 of the bridge and the other bank holds 4/7 of the bridge?Let's denote the length of the bridge as x. According to the problem, one bank of the river holds 3/7 of the bridge, which means that the other bank holds 4/7 of the bridge.
Therefore, we can write the following equation:
3/7 x + 1400 + 4/7 x = x
Simplifying this equation, we get:
6/7 x + 1400 = x
Subtracting 6/7 x from both sides, we get:
1/7 x + 1400 = 0
Subtracting 1400 from both sides, we get:
1/7 x = -1400
Multiplying both sides by 7, we get:
x = -9800
Since the length of the bridge cannot be negative, we need to discard this solution. Therefore, the only valid solution is:
x = 980
So the length of the bridge is 980 feet.
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You work in a pharmacy that mixes different concentrations of saline solutions for its customers. The pharmacy has a supply of two concentrations, 0.50% and 2%. The function
100(0.02) + x(0.005)
y=
100 +x
gives the amount x in milliliters of the 0.5% solution you must add to 100 milliliters of the 2% solution to form a new concentration y of saline solution. How
many milliliters of the 0.5% solution must you add for the combined solution to have a concentration of 0.88%?
You must add approximately mL.
(Round to one decimal place as needed)
Answer:
294.7 mL
Step-by-step explanation:
You want to know the volume (x) in mL of 0.5% solution to be added to 100 mL of 2% solution to make a mix that has a concentration of 0.88%.
SetupThe given equations seem to be missing something. We want ...
100(0.02) +x(0.005) = (100 +x)(0.0088)
SolutionWe like to play with larger numbers, so we'll multiply this equation by 100 as we simplify it.
200 +0.5x = 88 +0.88x
112 = 0.38x . . . . . . . . . . . . . subtract 88+0.5x
294.7 = x . . . . . . . . . . . . divide by 0.38
You must add approximately 294.7 mL of 2% solution.
Read the screenshot please answer this ASAP!!!!!!!! PLEASEEEEE
According to the information, the surface area of the prism is approximately 777.868 square inches, and its volume is approximately 3156.846 cubic inches.
How to calculate the surface area and volume of this prism?Since the hexagonal bases are regular, we know that all the six triangles are congruent to each other.
Let's call the side length of the hexagon s. Then, the apothem of each triangular face is given as 9 inches, and the base of each triangular face is given as 10 inches. Using the Pythagorean theorem, we can calculate the side length of the hexagon as follows:
s^2 = (10/2)^2 + 9^2
s^2 = 25 + 81
s^2 = 106
s ≈ 10.2956 inches
The surface area of the prism can be calculated by adding up the areas of its faces. The hexagonal base has an area of:
A_base = (3√3/2) * s^2 ≈ 450.978 square inches
The area of each triangular face is:
A_tri = (1/2) * base * height = (1/2) * 10 * 9 = 45 square inches
So the total surface area of the prism is:
A_total = 2A_base + 6A_tri
A_total = 2(450.978) + 6(45)
A_total ≈ 777.868 square inches
The volume of the prism can be calculated by multiplying the area of the base by the height of the prism:
V = A_base * height
V = 450.978 * 7
V ≈ 3156.846 cubic inches
Therefore, the surface area of the prism is approximately 777.868 square inches, and its volume is approximately 3156.846 cubic inches.
Note: This question is incomplete. Here is the complete information:
Calculate the surface area and volume of this prism.
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A cone has a radius of 6 m and a height of 24 m. What is the volume of the cone in terms of π? 864π m3 432π m3 288π m3 144π m3
The volume of the cone in terms of π is 288π cubic meters, which corresponds to option (c) in the given answer choices.
The formula for the volume of a cone is:
V = (1/3)πr^2h
where V is the volume, r is the radius, and h is the height of the cone.
Plugging in the given values, we get:
V = (1/3)π(6 m)^2(24 m)
V = 288π m^3
Therefore, correct option is C.
This is because π is an irrational number that cannot be expressed as a finite decimal or fraction, so any approximation would be less precise than the exact value in terms of π.
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