Answer:
\(4(x+3)=4(x-3)\)
It is equivalent to an equation that has the same variable terms but different constant terms on each side of the equal sign.
PLSSSS HELP IF YOU TURLY KNOW THISSS
A cherry pie is baked in the oven at 375°F. It is taken out and placed in the kitchen where the thermostat is set to 70°F. After 20 minutes, The temperature of the pie is 300°F.
Answer:
T(20) = 300
Ambient Temp = 70
Initial Temp = 375
Step-by-step explanation:
John is 5 feet 10 inches tall. There are 2.54 centimeters in 1 inch.
What is John’s height in centimeters?
25.4 cm
⊝
17.78 cm
⊝
177.8 cm
⊝
152.40 cm
Answer:
It would be 177.8 cm!!
Step-by-step explanation:
Answer:
177.8 CM
Step-by-step explanation:
70 x 2.54
= 177.8
∠1and ∠2 are complementary angles.
m∠1=52°
What is the measure of ∠2?
Answer: 38°
Step-by-step explanation:
Complementary angles are two angles that add up to 90°
Simce the first angle is 52°, subtract 90-52 to get 38°
In an arithmetic sequence, the 10th term (a10) is 30 and the common difference is 2
. What is the 1st term (a₁)?
Based on the calculations on this arithmetic sequence, the value of the first term is equal to -8.
What is an arithmetic sequence?An arithmetic sequence can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.
How to calculate an arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
aₙ = a₁ + (n - 1)d
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.Given the following data:
Tenth term (a₁₀) = 30.
Common difference = 2.
Substituting the given parameters into the formula, we have;
10 = a₁ + (10 - 1)2
10 = a₁ + (9)2
10 = a₁ + 18
a₁ = 10 - 18
First term, a₁ = -8.
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What is the experimental probability of how many times on even number was actually rolled using the table?
Since there was a total of 36 rolls, and 15 of the rolls gave an even number, the odds will be 15/36. This can be reduced to 5/12, your answer.
Hope that helps.
A 5-card poker hand is said to be a full house if it consists of 3 cards of the same denomination and 2 other cards of the same denomination (of course, different from the first denomination). Thus, a full house is three of a kind plus a pair. What is the probability that one is dealt a full house
Therefore, the probability of being dealt a full house in a 5-card poker hand is approximately 0.00144 or 0.144%.
To calculate the probability of being dealt a full house in a 5-card poker hand, we need to consider the total number of possible hands and the number of favorable hands (full houses).
Total number of possible hands:
There are 52 cards in a standard deck, and we choose 5 cards for our hand. So, the total number of possible hands is given by the combination formula:
C(52, 5) = 52! / (5! * (52 - 5)!)
= 2,598,960
Number of favorable hands (full houses):
To form a full house, we need to consider the choices for the three cards of one denomination and the two cards of another denomination.
Number of choices for the denomination of three cards: We have 13 denominations (2, 3, 4, ..., 10, J, Q, K, A) to choose from.
Number of ways to choose the three cards of one denomination: We have 4 cards of each denomination in a deck. Therefore, we have C(4, 3) = 4 ways to choose three cards of one denomination.
Number of choices for the denomination of two cards: We have 12 remaining denominations (since we already used one for the three cards).
Number of ways to choose the two cards of another denomination: We have C(4, 2) = 6 ways to choose two cards of another denomination.
To calculate the total number of favorable hands, we multiply these choices:
Number of favorable hands = 13 * C(4, 3) * 12 * C(4, 2) = 13 * 4 * 12 * 6
= 3,744
Now we can calculate the probability by dividing the number of favorable hands by the total number of possible hands:
Probability of getting a full house = Number of favorable hands / Total number of possible hands
= 3,744 / 2,598,960
≈ 0.00144
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Let X and Y denote the tarsus lengths of male and female grackles, respectively. Assume that X is N(,) and Yis N(4,²). Given that the sample number of X and Y are n=m=25, and X = 33.8, S=3.9,Y=32.5, S=5.1. Use these observations to give a level a=0.05 test for H₁:μx = μy VS Hoxy. Give the p-value of this test. (10 pts)
To test the hypothesis H₁: μx = μy versus Hoxy, where μx and μy represent the means of X and Y respectively, we can perform a two-sample t-test. The test compares the means of two independent samples to determine if they are significantly different from each other.
The given information provides the sample means (X = 33.8, Y = 32.5) and the sample standard deviations (Sx = 3.9, Sy = 5.1). The sample sizes for both X and Y are n = m = 25.
Using this information, we can calculate the test statistic, which is given by:
t = (X - Y) / sqrt((Sx^2 / n) + (Sy^2 / m))
Plugging in the values, we get:
t = (33.8 - 32.5) / sqrt((3.9^2 / 25) + (5.1^2 / 25))
Next, we need to determine the degrees of freedom for the t-distribution. Since the sample sizes are equal (n = m = 25), the degrees of freedom for the test is given by (n + m - 2).
Using the t-distribution table or software, we can find the critical value corresponding to a significance level of α = 0.05 and the degrees of freedom.
Finally, we compare the calculated test statistic with the critical value. If the test statistic falls within the rejection region (i.e., the absolute value of the test statistic is greater than the critical value), we reject the null hypothesis. The p-value can also be calculated, which represents the probability of observing a test statistic as extreme or more extreme than the calculated value, assuming the null hypothesis is true.
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stephan drove to his aunt's house at 60mph. he made the reutrn trip, over the same roadway, at 40mph. what was stephen's
Stephen's average speed for the round trip was 48 mph.
To find Stephen's average speed, we can use the formula:
Average Speed = Total Distance / Total Time
Let's assume the distance from Stephen's house to his aunt's house is 'd' miles.
On the way to his aunt's house, Stephen traveled at a speed of 60 mph. So the time taken for this leg of the trip is given by:
Time = Distance / Speed = d / 60
On the return trip, Stephen traveled at a speed of 40 mph. So the time taken for this leg of the trip is:
Time = Distance / Speed = d / 40
The total time for the round trip is the sum of the times for the outward and return trips:
Total Time = d / 60 + d / 40
To find the average speed, we divide the total distance by the total time:
Average Speed = Total Distance / Total Time
The total distance for the round trip is 2d (since it's the same roadway for both trips).
Average Speed = 2d / (d / 60 + d / 40)
Simplifying this expression, we get:
Average Speed = 2d / ((3d + 2d) / 120) = 2d / (5d / 120) = 2d * 120 / 5d = 240 / 5 = 48 mph
Therefore, Stephen's average speed for the round trip was 48 mph.
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Using your calculator, graph these functions and find the solution to the system.
(-4, 8)
(-2, -4) and (2, 4)
No solution: They do not intersect.
(0, -4) and (0, 8)
Help please!! 20 points and brainliest
Edit: The answer is B
(-2, -4) and (2, 4) is the solution to the given system of simultaneous equation
Solving system of equation graphically.Given the system of equation
f(x) = x^2 + 2x - 4
g(x) = -2x^2 + 2x + 8
When solving graphically, the point of intersection of both curves on an xy plane is the solution to the system of equation.
According to the graph attached, the solution to the system of equation is (-2, -4) and (2, 4).
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Answer: B
Step-by-step explanation: I took the test
Tread Depth of a step is 250 mm, going depth of the step is 260 mm, and the rise height of the step is 140 mm. If unit weight of reinforced concrete is 25.0 kN/m3. Calculate the weight of each step (without waist) per metre width of staircase.
Volume of one step = 0.25 m x 0.26 m x 0.14 m
Weight of one step = Volume of one step x 25.0 kN/m3
Weight of each step per meter width = Weight of one step / 0.26 m
To calculate the weight of each step per meter width of the staircase, we need to consider the dimensions of the step and the unit weight of the reinforced concrete.
Given:
Tread depth of the step = 250 mm
Going depth of the step = 260 mm
Rise height of the step = 140 mm
Unit weight of reinforced concrete = 25.0 kN/m3
First, let's convert the dimensions from millimeters to meters:
Tread depth = 250 mm = 0.25 m
Going depth = 260 mm = 0.26 m
Rise height = 140 mm = 0.14 m
To calculate the weight of each step per meter width, we need to find the volume of each step and then multiply it by the unit weight of reinforced concrete.
1. Calculate the volume of one step:
The volume of each step can be found by multiplying the tread depth, going depth, and rise height:
Volume of one step = Tread depth x Going depth x Rise height
= 0.25 m x 0.26 m x 0.14 m
2. Calculate the weight of one step:
The weight of one step can be calculated by multiplying the volume of one step by the unit weight of reinforced concrete:
Weight of one step = Volume of one step x Unit weight of reinforced concrete
3. Calculate the weight of each step per meter width:
Since we are calculating the weight per meter width, we need to divide the weight of one step by the going depth:
Weight of each step per meter width = Weight of one step / Going depth
Now, let's calculate the weight of each step per meter width using the given values:
Volume of one step = 0.25 m x 0.26 m x 0.14 m
Weight of one step = Volume of one step x 25.0 kN/m3
Weight of each step per meter width = Weight of one step / 0.26 m
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answer asap pllssssss
Answer:
Equation: 6 = 1w + 1
W = 5
Step-by-step explanation:
Gosh I haven't done that stuff in a while- LeTs SeE iF I cAn ReMeMbEr ThE bAsIcS
So one one side obviously you have about 6 of those ones. And on the other is one of those 1 and a W. W most likely equals 5 if those are equal too.
Sorry If i'm incorrect. This proves I do need to relearn a thing or two
Answer:
equation: 6= w+1
w= 5
Step-by-step explanation:
Please factorize \(\ln ^2\left(4-x\right)+\ln \left(4-x\right)\ln \left(x+\frac{1}{2}\right)-2\ln ^2\left(x+\frac{1}{2}\right)=0\)
Answer:
[ln (4 - x) - ln (x + 1/2)] × [ln (4 - x) + 2 ln (x + 1/2)] = 0----------------------------------
Given equation:
ln² (4 - x) + ln (4 - x) ln (x + 1/2) - 2 ln² (x + 1/2) = 0Substitute:
ln (4 - x) = p, ln (x + 1/2) = qThen we have:
p² + pq - 2q² = p² - q² + pq - q² = (p + q)(p - q) + q(p - q) = (p - q)(p + q + q) = 0(p - q)(p + 2q) = 0Substitute back:
ln² (4 - x) + ln (4 - x) ln (x + 1/2) - 2 ln² (x + 1/2) = 0 [ln (4 - x) - ln (x + 1/2)] × [ln (4 - x) + 2 ln (x + 1/2)] = 0Lee marks sixths on a number line. He
writes just before 1. What fraction does
he write on the first mark to the right of 17
Common Core Assessment
14. Divide Katrina
To determine the fraction that Lee writes on the first mark to the right of 17, we need to understand the numbering pattern and the position of the marks.
If Lee marks sixths on the number line, it means that the interval between each mark is 1/6.
Starting from 0, the first mark to the right of 17 would be located at 18.
To find the fraction written on this mark, we can calculate the difference between 18 and 17 and express it as a fraction of the interval between each mark (1/6).
18 - 17 = 1
Therefore, the fraction that Lee writes on the first mark to the right of 17 is 1/6.
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f(x) = x^2 . What is g(x)?
Answer:
g(x) = (1/4x)^2
Step-by-step explanation:
Given f(x), we want to get g(x)
As we can see, the point (4,1) lies on the graph of g(x)
So the correct option will be the one where g(4) = 1
Let us take a look at the second option
g(x) = (1/4x)^2
Here,
g(4) = (1/4 * 4)^1 = 1^1 = 1
deluxe coffee is to be mixed iwth regular coffee to make at least 56 pounds of a blended coffee. the mixture must contain at least 13 pounds of deluxe coffee. deluxe coffee costs 4 perpound and regular coffee 3 per pound. how many pounds of each kind of coffee should be used to minimize costs
To minimize costs while meeting the constraints, the optimal solution is to use 13 pounds of deluxe coffee and at least 43 pounds of regular coffee in the blend. This ensures that the minimum cost is achieved while satisfying the quantity requirements.
To solve the optimization problem step by step, let's follow the steps again
Start by considering the constraint x ≥ 13. Since we want to have at least 13 pounds of deluxe coffee, we can set x = 13.
Substitute this value of x in the first constraint: 13 + y ≥ 56. Solve for y:
13 + y ≥ 56
y ≥ 56 - 13
y ≥ 43
This means that y should be greater than or equal to 43 pounds.
We have x = 13 and y ≥ 43. These values satisfy both constraints.
Therefore, to minimize costs, we should use 13 pounds of deluxe coffee and at least 43 pounds of regular coffee.
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--The given question is incomplete, the complete question is given below "deluxe coffee is to be mixed iwth regular coffee to make at least 56 pounds of a blended coffee. the mixture must contain at least 13 pounds of deluxe coffee. deluxe coffee costs 4 perpound and regular coffee 3 per pound. how many pounds of each kind of coffee should be used to minimize costs? To attain the minimum cost, use pounds of deluxe coffee and pounds of regular coffee."--
It's only 1 answer each question, not multiple.
Answer:
1. a
2.a
3.c?
4.b
5.e?
Step-by-step explanation:
One of the familiar weather patterns in Jordan are derived from what is the Red Sea trough, seen both in the spring and the fall. a. What is this phenomenon and how does it occur? b. How does it manifest itself in terms of weather? c. What challenges does it pose in terms of weather forecasting? d. What hazards does it present?
a. The Red Sea trough refers to a dip in the upper-level height originating over the eastern Mediterranean moving southeastward, and deepening over the Red Sea.
b. This weather phenomenon manifests itself as it causes a sudden drop in temperatures, thunderstorms, and dust storms.
c. The Red Sea trough presents a challenge to weather forecasting as it is hard to predict when the trough will develop.
d. The Red Sea trough presents several hazards as causes heavy rainfall, strong winds, and a sudden drop in temperatures.
The Red Sea trough is one of the familiar weather patterns in Jordan. It is seen both in spring and fall.
a. The Red Sea trough is a dip in the upper-level height that originates over the eastern Mediterranean, advances southeastward, and deepens over the Red Sea. During the fall and spring seasons, this trough becomes more profound and generates a shallow low-pressure system over the Levant region, resulting in a northwesterly to northeasterly wind.
b. This weather phenomenon manifests itself in terms of weather in several ways. They are as follows:
It causes a sudden drop in temperatures and a strong wind that blows from the north or northeast.It also brings clouds, rain, and thunderstorms to Jordan. In addition, it causes dust storms and sandstorms, which often reduce visibility and disrupt travel and other activities.c. The Red Sea trough presents a significant challenge to weather forecasting. It is difficult to predict when the trough will develop and the magnitude of its impacts on weather. The weather forecasters struggle to estimate the movement of the trough, its depth, and intensity, and the amount of rain and wind it will produce. As a result, the meteorological department often issues warnings and alerts, but the severity and impact of the weather are not always accurately forecasted.
d. The Red Sea trough presents several hazards. They are as follows:
It causes heavy rainfall that results in flash floods, landslides, and inundation. The strong winds associated with the trough lead to damage to infrastructure and cause power outages, transportation disruption, and difficulties for outdoor activities. It also causes a sudden drop in temperatures that can result in hypothermia and other weather-related illnesses. The dust and sandstorms reduce visibility and air quality, which causes respiratory problems.Learn more about Pressure system:
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Are the two triangles similar?
A) there is not enough information to determine if they are simiar.
B) yes
C) no
Answer:
I am thinking c, but I do not know
Step-by-step explanation:
I am sure but if not c then b
a person has a 5% chance of winning a free ticket in a state lottery. she plays the game 12 times. what is the probability she will win two or more tickets? round your answers to three decimal places.
The probability to win two or more tickets in the lottery is 0.118
It is given that there is a 5% chance to win a lottery ticket.
Therefore, the probability to win a lottery ticket is
0.05
The girl here plays the game 12 times. The above distribution is clearly a Binomial Distribution
ⁿCₓ X pˣ X (1 - p)ⁿ⁻ˣ
We need to calculate the probability to win 2 or more tickets
= 1 - the probability to win at least one ticket
= 1 - P(X = 0) + P(X = 1)
here,
p = 0.05
1 - p = 0.95
n = 12
P(X = 0)
= ¹²C₀ X 0.05⁰ X 0.95¹²
= 0.54036
P(X = 1)
= ¹²C₁ X 0.05¹ X 0.95¹¹
= 0.34128
Hence we get
P(X ≥ 2) = 1 - 0.54036 - 0.34128
= 0.118
Therefore, we get the probability that the person will win 2 or more tickets to be 0.118
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Find equations of both lines through the point (2, −3) that are tangent to the parabola y = x2 + x.
y = (smaller slope)
y = (larger slope)
Answer:
y = -x - 1 ; y = 11x - 25
Step-by-step explanation:
y = x² + x
y-(-3) = m(x-2)
y = x²+x
y + 3 = mx - 2m
y = x² + x
y = mx - 2m - 3
x² + x = mx - 2m - 3
x² + x - mx + 2m + 3 = 0
x² + (1-m)x + 2m + 3 = 0
discriminant = m² + 1 - 2m -4 (2m + 3)
m² + 1 - 2m - 8m - 12
m² - 10m - 11
the line is tangent so the discriminant must be equal to 0
m² - 10m - 11 = 0
(m-11)(m+1) = 0
m = 11
m = -1
y + 3 = -(x-2)
y+ 3 = -x + 2
y = -x + 2 - 3
y = -x - 1
y + 3 = 11(x-2)
y + 3 = 11x - 22
y = 11x -22 - 3
y = 11x - 25
Your grandmother has been putting $5,000 into a savings account on every birthday since your first that is, when you turned one). The account pays an interest rate of 7% How much money will be in the account medialty after your grandmother makes the deposit on your 18th birthday The amount in the account upon your 18th birthday is (Round to the nearest dollar)
After your grandmother makes a $5,000 deposit on your 18th birthday, the amount in the savings account can be calculated using compound interest. Assuming the account pays an interest rate of 7%, the amount in the account immediately after the deposit can be determined by applying the compound interest formula.
To calculate the amount in the savings account after the deposit on your 18th birthday, we can use the compound interest formula: A = P(1 + r/n)^(nt), where A represents the final amount, P is the principal (initial deposit), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, the initial deposit is $5,000, the interest rate is 7% (or 0.07 as a decimal), and the deposit is made on your 18th birthday, which means the time is 17 years. Since no information is given about the compounding frequency, let's assume it is compounded annually (n = 1).
Plugging in the values into the compound interest formula, we have A = 5000(1 + 0.07/1)^(1*17) = 5000(1.07)^17 ≈ $15,128.
Therefore, the amount in the savings account immediately after your grandmother makes the deposit on your 18th birthday is approximately $15,128, rounded to the nearest dollar.
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Point D is the circumvented. AB= 42 DC= 29DF= 16FC =28AG= 33
Find intersection of
BD , AD DC
Then
BD = BE^2 + ED^2
R = AD = abc/4S = 42• (2•28)•
The map shows the location of four places in a school.A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library.Paul's English class is located in the same quadrant as the library. Which of the following could be the coordinates of the English classroom
Since Paul's English class is located in the same quadrant as the library, the coordinates of the English classroom include the following: B: (−4, 5).
What is a translation?In Mathematics, the translation of a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image or function.
On the other hand (conversely), the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or function.
Since the library is located in the fourth quadrant in which the value on the x-coordinate (x-axis) is positive while the value on the y-coordinate (y-axis) is negative, we can reasonably infer and logically deduce that its coordinates would be translated to the right and then downward.
In conclusion, the coordinates of the English classroom would most likely have negative x-coordinate (x-axis) and a positive y-coordinate (y-axis);
Coordinates of the English classroom = (-4, 5).
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Complete Question:
The map shows the location of four places in a school.
A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library.
Paul's English class is located in the same quadrant as the library. Which of the following could be the coordinates of the English classroom?
A: (4, 5)
B: (−4, 5)
C: (−4, −5)
D: (4, −5)
For the equation
y-3 = 2(x + 4),
which of the following is true?
a box contains six red light bulbs, nine blue light bulbs, and five green light bulbs. what is the probability of randomly selecting a red light bulb? (round to 2 decimal places) what is the probability of randomly selecting a blue light bulb? (round to 2 decimal places) what is the probability of randomly selecting a red light bulb or a blue light bulb? (round to 2 decimal places) what is the probability of randomly selecting a green light bulb? (round to 2 decimal places) what is the probability of randomly selecting a blue or a green light bulb? (round to 2 decimal places)
Using it's definition, the probabilities are given as follows:
Red: 0.3 = 30%.Blue: 0.45 = 45%.Red or Blue: 0.75 = 75%.Green: 0.25 = 25%.Blue or Green: 0.6 = 60%.What is a probability?The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.
The total number of bulbs in this problem is given as follows:
6 + 9 + 5 = 20.
Six of them are red, hence the probability of a red bulb is:
p = 6/20 = 0.3 = 30%.
Nine of them are blue, hence the probability of a blue bulb is:
p = 9/20 = 0.45 = 45%.
Five of them are green, hence the probability of a green bulb is:
p = 5/20 = 0.25 = 25%.
The probability of a red or blue bulb is:
p = 0.3 + 0.45 = 0.75.
The probability of a blue or green bulb is:
p = 0.45 + 0.25 = 0.6.
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the normal approximation can be used in a two-sample test of proportions for which one of these sets of values?
The normal approximation can be used in a two-sample test of proportions when the sample sizes are sufficiently large.
The rule of thumb is that each sample should have at least 10 successes and 10 failures. When these conditions are met, the sampling distribution of the difference in sample proportions can be approximated by a normal distribution with a mean equal to the difference in population proportions and a standard deviation calculated from the sample proportions. This approximation allows us to calculate probabilities and make inferences using the standard normal distribution. It is important to note that this approximation may not be accurate for small sample sizes, in which case exact methods such as the Fisher's exact test should be used instead. In summary, the normal approximation can be used in a two-sample test of proportions when the sample sizes are large enough and the conditions are met.
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What is the approximate value of 0, is cos0=8/15?
A)58
B)32
C)28
D)62
E)48
Answer:
A)58 degrees
Step-by-step explanation:
You can find the answer by taking the arccos of 8/15. This would give you approximately 57.77 which rounds up to 58.
in the accompanying figure of circle o the measure of ac is 84 what is the measure of abc
Check the picture below.
Find the volume of the cone. Use 3.14 for pi. Round your answer to the nearest tenths
place.
The volume of the cone is approximately 37.7 cubic units
What is volume?
A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.
To find the volume of a cone, we use the formula:
V = (1/3) * π * r² * h
where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.
Plugging in the given values, we get:
V = (1/3) * 3.14 * 3² * 4 ≈ 37.7
Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).
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