Find the volume of the cone. Use 3. 14 for π. Round to the nearest tenth.



A. 18,324. 8 cm3


B. 1,271. 7 cm3


C. 1,527. 1 cm3


D. 4,581. 2 cm3

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

The equation is 2x - 3 = 5x + 21. Solving for "x" gives the solution of x = -8.The equation for this issue is as follows:

2x - 3 = 5x + 21

where "x" stands for the unidentified number.

We can separate the variable term on one side of the equation and the constant terms on the other side in order to solve for "x".

To begin, we can take away 2x from both sides to obtain:

-3 = 3x + 21

Then, we can take 21 away from both sides to get at:

-24 = 3x

Finally, multiplying both sides by 3 gives us:

x = -8

Consequently, x = -8 is the answer to the equation.

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a. True: If the correlation coefficient is positive, it indicates a positive linear relationship between two variables.

Above-average values of one variable are indeed associated with above-average values of the other. This means that as one variable increases, the other variable tends to increase as well.

b. True: If the correlation coefficient is negative, it indicates a negative linear relationship between two variables. Below-average values of one variable are associated with below-average values of the other. This means that as one variable increases, the other variable tends to decrease.

c. False: The statement that if y is usually less than x, then the correlation between y and x will be negative is not universally true. The correlation coefficient measures the strength and direction of the linear relationship between two variables, regardless of their magnitude. It is possible for the correlation to be positive even if y is usually less than x or for the correlation to be negative even if y is usually greater than x. The correlation coefficient is based on the patterns of how the variables change together, rather than their individual magnitudes. Therefore, it is important to consider the actual data and calculate the correlation coefficient to determine the relationship between y and x accurately.

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Answer:

hi sorry I don't know answer

you know Telugu where are you from

iam from telangana

Upon calculating the sum up to the appropriate term, we find that the sum is approximately 0.0713. So, the correct answer is a. 0.0713

It seems like there is a typo in the series notation. I assume the series you are referring to is ∑(2(-1)^n-1)/(12n^2 + 1) from n=1 to infinity. In this case, we can determine the sum using a well-known function and round the answer to four decimal places. Since the given series is an alternating series, we can use the Alternating Series Estimation Theorem to determine an approximation for the sum. The theorem states that if the absolute difference between consecutive terms is decreasing and the limit of the terms as n approaches infinity is zero, the approximation for the sum is accurate up to the first term that is less than or equal to the desired error bound (in this case, 0.0001). For this series, we can see that the absolute difference between consecutive terms decreases as n increases and the limit as n approaches infinity is zero. So, we can find the smallest value of n for which the term is less than or equal to 0.0001 and calculate the sum up to that term.

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A₆ ≈ $10,359 to the nearest cent. A₉ ≈ $13,613 to the nearest cent.  A is the final amount, P₀ is the initial amount, e is the base of the natural logarithm (approximately 2.71828), r is the continuous compound rate of growth, and t is the time in years.

To evaluate A to the nearest cent, we can use the formula A = P₀ * e^(rt), where A is the final amount, P₀ is the initial amount, e is the base of the natural logarithm (approximately 2.71828), r is the continuous compound rate of growth, and t is the time in years.

Given:

P₀ = $6,000

r = 0.091 (approximately)

We need to calculate A for t = 3, 6, and 9 years.

For t = 3 years:

A₃ = $6,000 * e^(0.091 * 3)

Using a calculator, we find:

A₃ ≈ $6,000 * e^(0.273) ≈ $6,000 * 1.3130 ≈ $7,878

Therefore, A₃ ≈ $7,878 to the nearest cent.

For t = 6 years:

A₆ = $6,000 * e^(0.091 * 6)

Using a calculator, we find:

A₆ ≈ $6,000 * e^(0.546) ≈ $6,000 * 1.7265 ≈ $10,359

Therefore, A₆ ≈ $10,359 to the nearest cent.

For t = 9 years:

A₉ = $6,000 * e^(0.091 * 9)

Using a calculator, we find:

A₉ ≈ $6,000 * e^(0.819) ≈ $6,000 * 2.2689 ≈ $13,613

Therefore, A₉ ≈ $13,613 to the nearest cent.

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Answer: $7.5 tip

Step-by-step explanation:

divide 3 an 20 then get 0.15

then multiply 0.15 to 50 get 7.5

The second triangle will have the same side lengths and angles as the initial triangle.

The correct option is D.

The reflection of an equilateral triangle relative to the line passing through its side results in a new equilateral triangle that is the same size as the initial triangle. Therefore, the correct answer is D: The second triangle is the same size as the initial triangle.

When a figure is reflected across a line, every point on the figure is flipped to the opposite side of the line, maintaining the same distances and angles. In the case of an equilateral triangle, each side is reflected to the opposite side of the line, resulting in a new equilateral triangle with the same side lengths and angles.

The property of an equilateral triangle is that all three sides are equal in length, and all three angles are equal to 60 degrees. The reflection does not alter these properties. Therefore, the second triangle will have the same side lengths and angles as the initial triangle.

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Given the midpoint M(3, 1) and point A(4, 3),then the coordinates of point B are (2, -1).

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M(x, y) between two points A(x1, y1) and B(x2, y2) are given by:

x = (x1 + x2) / 2

y = (y1 + y2) / 2

Given that the midpoint M is (3, 1) and the coordinates of point A are (4, 3), we can substitute these values into the midpoint formula and solve for the coordinates of point B.

Let's calculate it step by step:

Step 1: Identify the known values

Coordinates of point A: (x1, y1) = (4, 3)

Midpoint coordinates: (x, y) = (3, 1)

Step 2: Apply the midpoint formula

x = (x1 + x2) / 2

3 = (4 + x2) / 2

Multiply both sides by 2:

6 = 4 + x2

Subtract 4 from both sides:

x2 = 6 - 4

x2 = 2

y = (y1 + y2) / 2

1 = (3 + y2) / 2

Multiply both sides by 2:

2 = 3 + y2

Subtract 3 from both sides:

y2 = 2 - 3

y2 = -1

Step 3: Determine the coordinates of point B

The coordinates of point B are (x2, y2) = (2, -1)

Therefore, the coordinates of point B are (2, -1).

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Answer:

33

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

hope it helps

mark me brainliest pls

Consecutive congruent sides refer to adjacent sides in a geometric shape that have equal lengths, creating a pattern of repetition within the shape.

consecutive congruent sides indicate that there are two sides of a shape that are next to each other and have equal lengths. This means that the lengths of these sides are identical, creating a pattern of repetition within the shape.

let's consider a triangle as an example. If a triangle has consecutive congruent sides, it means that two sides of the triangle that are next to each other have the same length. This creates a situation where the triangle has two equal-length sides that are adjacent to each other, while the remaining side can have a different length. Similarly, in other polygons or shapes, consecutive congruent sides follow the same principle of adjacent sides having the same length.

Overall, consecutive congruent sides highlight a pattern of equality and repetition in the lengths of adjacent sides within a geometric shape

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Answer:

24x+93

That's the answer to the equation that was what you were asking for right?

Answer:

the third one

Step-by-step explanation:

Answer:

The 3rd

Step-by-step explanation:

Answer: Side-Angle-Side Theorem (SAS)

Step-by-step explanation:

The Side-Angle-Side Theorem (SAS) states that if two sides and the angle between those two sides of a triangle are equal to two sides and the angle between those sides of another triangle, then these two triangles are congruent.

Answer:

200 people

Step-by-step explanation:

Answer:

1. V=490 yds^3

2. V=151.25 in^3

3. V=51 m^3

4. V=435 cm^3

5. V= 837 ft^3

Step-by-step explanation:

Just multiply all of the values if that helps :)

Answer:

Step-by-step explanation:

P= a+b+c

P= 1512+223+314

=2049

To find the final location of the ant after it has walked counterclockwise a distance of 2 units around the unit circle, we need to calculate the coordinates (x, y) of the point.

Since the ant starts at the point (1, 0) on the unit circle, we can think of this point as being at an angle of 0 degrees or 0 radians.

To find the coordinates after walking a distance of 2 units counterclockwise, we can calculate the new angle using the arc length formula:

s = rθ

where s is the arc length, r is the radius of the circle (which is 1 in this case), and θ is the angle in radians.

In this case, the arc length is 2 units and the radius is 1, so we have:

2 = 1θ

Solving for θ, we find:

θ = 2 radians

Now, we can use this angle to find the coordinates (x, y) of the final location on the unit circle:

x = cos(θ)

y = sin(θ)

Plugging in θ = 2, we get:

x = cos(2) ≈ -0.42

y = sin(2) ≈ 0.91

Therefore, the approximate coordinates of the final location of the ant are (-0.42, 0.91).

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The perimeter of the isosceles trapezoid is equal to 30 inches.

This is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. The opposite angles are supplementary which implies they sum up to 180°.

We shall first find the length of the left and right sides which are of same length as follows:

we can get a right triangle with base (13 - 7)/2 = 3 and height 4 inches so that the hypotenuse is the length of of the sides of the trapezoid

a side of the trapezoid = √(3² + 4²) {Pythagoras rule}

a side of the trapezoid = √(9 + 16)

a side of the trapezoid = √25

a side of the trapezoid = 5

perimeter of the isosceles trapezoid = (5 + 7 + 5 + 13) inches

perimeter of the isosceles trapezoid = 30 inches.

Therefore, they perimeter of the isosceles trapezoid is equal to 30 inches.

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Answer:

5/8 quarts

Step-by-step explanation:

The distance between a point on the ground directly below the plane and the airport is about 23,221.1 feet.

Let's call the distance between the plane and the airport "x" and the height of the plane "h".

From the problem statement, we know that the angle of depression from the plane to the airport is 24 degrees. This means that if we draw a straight line from the plane to the airport, the angle between that line and the horizontal ground is 24 degrees.

We can use trigonometry to relate this angle to the distance "x" and the height "h". Specifically, we can use the tangent function, which relates the opposite side (height) to the adjacent side (distance) of a right triangle:

tan(24 degrees) = h/x

We want to solve for "x", so we can rearrange this equation to isolate "x":

x = h / tan(24 degrees)

We don't know the value of "h", but we can use the fact that the plane is at a certain elevation to find it. Let's say the elevation is "e" (in feet). Then:

h = e + 5280 feet

(The extra 5280 feet comes from the fact that the elevation is measured above sea level, while the airport is on the ground.)

Substituting this expression for "h" into our equation for "x", we get:

x = (e + 5280) / tan(24 degrees)

So, to find the distance between the plane and the airport, we need to know the elevation of the plane. Let's say it's 10,000 feet:

x = (10,000 + 5280) / tan(24 degrees) = 23,667.8 feet (rounded to one decimal place)

So the distance between the plane and the airport is about 23,667.8 feet.

To find the distance between a point on the ground directly below the plane and the airport, we can use the same triangle, but this time we're interested in a different side. Let's call this distance "d".

We can see that the angle between the line from the point on the ground to the airport and the horizontal is also 24 degrees. This is because the angle of depression is the same whether you're looking down from the plane or up from the ground.

Using trigonometry again, we can relate this angle to the distance "d" and the height "e":

tan(24 degrees) = e/d

Rearranging to solve for "d", we get:

d = e / tan(24 degrees) = 10,000 / tan(24 degrees) = 23,221.1 feet (rounded to one decimal place)

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The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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Answer:

randomly choosing a marble from a bag, replacing it, and choosing again

rolling a number cube, rolling again, and trying to match the first roll

Explanation:

In an independent event, getting a certain outcome once does not change the probability of getting the same outcome again.

The second option (about the coins) is NOT independent because if you pull out a dime on your first try, there are fewer dimes in your pocket and you are less likely to pull out a dime the second try. The third option (about drawing a number) is also NOT independent for the same reason: you don't put the number back into the hat after drawing it out, so there's fewer numbers the second time and the probability is different.

The radius of the cylinder with a volume of 885 cubic inches is 4.9 in.

A cylinder is simply a there-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = πr²h

Where r is radius of the circular base, h is height and π is constant pi.

Given that;

Plug the given values into the above formula and solve for radius r.

V = π × r² × h

885 in³ = 3.14 × r² × 11.7 in

885 in³ = r² × 36.738 in

r² = 885 in³ / 36.738 in

r = √( 885 in³ / 36.738 in )

r = 4.9 in

Therefore, the value of the radius is 4.9 inch.

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While Mary exerts an upward force on the bag of groceries, the reaction force is exerted by the Earth on Mary and the bag of groceries, keeping them in equilibrium.

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. In this scenario:

(a) The magnitude of the reaction force is 40 N, which is equal in magnitude but opposite in direction to the force exerted by Mary.

(b) The direction of the reaction force is downward, opposite to the direction of the force exerted by Mary.

(c) The reaction force is exerted on the Earth, specifically the surface on which Mary and the bag of groceries are standing.

(d) The reaction force is exerted by the Earth onto Mary and the bag of groceries.

It's important to note that Newton's third law states that the action and reaction forces always occur in pairs and act on different objects. So,

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Answer:

44.5 percent is shaded.

from whole model, 44.5% is shaded of 100%