What is the radius of the cone in the diagram? Round your answer to the nearest whole number.

What Is The Radius Of The Cone In The Diagram? Round Your Answer To The Nearest Whole Number.

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Answer 2
R= 4Units


Step-by-step Explanation:

Volume of the cone = 101.06 Cubic Units
Height (h) = 12 Units
Radius (r) = ?

Thus formula, for volume of the cone = 1/3 *πr2h

(Plug in the values and solve for r):
1/3*π*r2* 12 = 201.06
r2*4 *π = 201.06
r2* 12.57 = 201.06


(Divide both steps by 12.57):
r2 = 201.06/12.57
r2 = 15.9952267
r = [15.9952267
r = 4 Units


Hopefully this helps???

Related Questions

Find the unit rates for each size. Then
order the sizes from the least to
greatest unit rates.

Answers

A unit rate is a rate with a denominator of one.

What is unit rate?A unit rate is a rate where the bottom number is 1 (also called a single-unit rate). We can turn any rate into a unit rate.We want to know the price per apple unit so we set up a ratio with the number of apples in the denominator. The total price goes in the numerator. So the fraction is 1.80/3.Complete the division: 1.80 ÷ 3 = .60. You can conclude that the per apple price unit rate is $0.60/1. Ryan paid a unit price of $0.60 per apple (60 cents per 1 apple = .60/1).The unit rate compares a certain number of units of one quantity to units of another quantity. In other words, the second quantity in the comparison is always 1.

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y=2x+8 I don't know how to do this question imm needing help

Answers

The given equation represents a straight line equation with slope [m] = 2 and [y] - intercept as 8.

What is a mathematical function, equation and expression?   function : function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the linear equation as follows -

y = 2x + 8

The given equation is as follows -

y = 2x + 8

The given equation is a straight line with a slope of [m] = 2. The [y] - intercept is equivalent to 8. This means that the graph cuts the [y] axis at the point (0, 8).

Therefore, the given equation represents a straight line equation with slope [m] = 2 and [y] - intercept as 8.

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What are some examples of short-term financial goals?

Answers

The activities you desire to do with your money during the next several months or years are considered short-term financial objectives.

What is compound interest?


When you earn interest on your interest earnings as well as the money you have saved, this is known as compound interest. The interest you get is referred to as compound interest. Using simple math, you can see how this works: if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You'll have $110.25 at the conclusion of the second year.

The activities you desire to do with your money during the next several months or years are considered short-term financial objectives as compound interest. Setting a budget, creating an emergency fund, and paying off debt are some important short-term objectives.

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Binita is going to buy 450 envelopes.
Here is some information of the cos of the envelopes in two shops
LETTER2GO: pack of 25 envelopes cost £3.29
VALUEWORLD :packs of 10 envelopes cost £1.95 buy 2 packs and get one free
how much less in pounds will it cost banita to buy the envelopes from VALUEWORLD

Answers

It would cost 0.72 pounds to buy the envelopes from VALUEWORLD

How to solve for cost of envelope

first of all, we would have to calculate what the cost would be for LETTER 2GO

This is 450 / 25 x 3.29

= 59.22 dollars

The next option would be for us to solve for the cost for Value 2 world.

This is given as 450 / 30 * 1.95*2

= 58.50 dollars

The cost of getting the envelope from value world would be given as 59.22 - 58.50

= 0.72 pounds

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What sides of a square are congruent?

Answers

Answer:

Square! #N#The sides and angles of a square: The sides of a square are all congruent (the same length.) The angles of a square are all congruent (the same size and measure.) Remember that a 90 degree angle is called a "right angle.". So, a square has four right angles. Opposite angles of a square are congruent.

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Step-by-step explanation:

The length of a rectangle is five times its width. If the perimeter is at most 96 centimeters, what is the greatest possible value for the width?


Question 4 options:



2w + 2 • (5w) ≤ 96




2w + 2 • (5w) ≥ 96




2w + 2 • (5w) < 96




2w + 2 • (5w) > 96

Answers

Answer:

A) 2w + 2 • (5w) ≤ 96

----------------------------------

Given:

Width is w,Length is l = 5w.

Perimeter is:

P = 2(l + w)

or

2w + 2(5w)

The perimeter is at most 96 cm (not greater than):

2w + 2(5w) ≤ 96

The matching choice is A.

There are 11 counter in the bag. 8 of the counter are green. 3 of the counter are blue. Sid take at random two counter from the bag. Work out the probability that Sid take one counter of each colour

Answers

The probability that Sid takes one counter of each color is 0.5.

To find the probability that Sid takes one counter of each color, we need to know the total number of possible outcomes when Sid takes two counters from the bag. Since the order in which Sid takes the counters does not matter, there are two cases to consider:

Sid takes a green counter first and a blue counter second. There are 8 green counters and 3 blue counters, so there are a total of 8 * 3 = <<8*3=24>>24 outcomes in this case.

Sid takes a blue counter first and a green counter second. There are 3 blue counters and 8 green counters, so there are a total of 3 * 8 = <<3*8=24>>24 outcomes in this case.

In total, there are 24 + 24 = <<24+24=48>>48 outcomes when Sid takes two counters from the bag.

To find the probability that Sid takes one counter of each color, we divide the number of successful outcomes (24 in each case) by the total number of outcomes (48). This gives us a probability of 24/48 = 1/2 = 0.5.

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The point A(7, 1) is reflected over the point (4, 0) and its image is point B. What are the coordinates of point B?

Answers

The coordinates of point B is (1, -1)

Define Reflection on a Point

A reflection point occurs when a figure is constructed around a single point known as the point of reflection or centre of the figure. For every point in the figure, another point is found directly opposite to it on the other side.

Given,

Point A (7, 1) is reflected over the point (4, 0)

We know that,

The reflected point will be equidistant from the point over which it is reflected as the original point and in the same line as the original point and the reflected point.

Find the difference between the x and y values of the given points

For x value = 4 - 7 = -3

For y value = 0 - 1  = -1

Now, add the value to the reflection point.

x - axis : 4 +(-3) = 1

y - axis : 0 + (-1) = -1

Hence, the coordinates of point B is (1, -1)

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How do you graph a function with two X variables?

Answers

To graph a function with two variables, you need to plot the points that satisfy the function in a coordinate system.

For example, suppose you have a function f(x,y) = x^2 + y^2. To graph this function, you can choose a set of values for x and y that satisfy the function, and plot these points in the coordinate system.

For example, if you choose x = 1 and y = 2, then the point (1,2) satisfies the function because f(1,2) = 1^2 + 2^2 = 1 + 4 = 5. Similarly, if you choose x = -2 and y = 3, then the point (-2,3) satisfies the function because f(-2,3) = (-2)^2 + 3^2 = 4 + 9 = 13.

You can repeat this process for a range of values for x and y to plot more points in the coordinate system. As you plot more points, you will start to see a pattern emerge, which is the graph of the function.

Note that the graph of a function with two independent variables will be a surface in three-dimensional space, rather than a curve in two-dimensional space like the graph of a function with only one variable.

--The question is incomplete, answering to the question below--

"How do you graph a function with two variables?"

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Denzel must practice the piano for 210 min each week. he practices for 30 min each day. write a linear equation represent the number of minutes denzel still has to practice after x days?

Answers

As per the unitary method, the linear equation represents the number of minutes Denzel still has to practice is N(x) = 210 - 30x

The term unitary method refers a process of finding the value of a single unit, and based on this value.

Here we have given that Denzel must practice the piano for 210 min each week. he practices for 30 min each day

And we need to find linear equation represent the number of minutes Denzel still has to practice after x days

As from the given question we know that Denzel must practice piano for 210 minutes each week.

Therefore, the total practice needed = 210 minutes

And the total minutes practicing per day = 30 minutes

Here let us consider x be the number of days practiced

Then the total minutes practices after n days = 30x

So, the total remaining minutes is calculated as,

=> 210 - 30x

Therefore, the number of minutes Denzel still has to practice after x days is written as, N(x) = 210 - 30x

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Can two triangles like SSS?

Answers

The two triangles are similar under SSS conditions if all three sides of one triangle are in proportion to the three sides of another triangle.

What is the SSS condition?

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.

Slide, twist, flip, and turn these triangles to create an identical appearance.

They are in alignment with one another when moved.

According to the SSS test for triangle similarity, two triangles are considered similar if their third sides are proportionate to one another.

Therefore, the two triangles are similar under SSS conditions if all three sides of one triangle are in proportion to the three sides of another triangle.

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the incomes in a certain larger population of college teachers have a normal distribution with mean of $60,000 and standard deviation of $5,000. four teachers are selected at random from this population to serve on a salary review committee. what is the probability that their average salary exceeds $65,000.

Answers

If the incomes in a certain larger population of college teachers have a normal distribution with mean of $60,000 and standard deviation of $5,000.the probability that their average salary exceeds $65,000 is 0.0228.

What is probability?

Probability is the tendency or likelihood that an event will happen.

First step is to find the standard deviation

Standard deviation= $5,000/√4

Standard deviation= $5,000/2

Standard deviation= $2,500

Second step is to find the z -score

Z= 65,000 - 60,000/2500

Z= 5,000/2500

Z= 2

Now let find the  pvalue of 2

pvalue of 2 = 0.0228

Therefore the probability is 0.0228.

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What is the discriminant of 3x² 2x 1 0?

Answers

Equation 3x2 + 2x + 1 = 0's discriminant is -8.

D = b2 - 4ac is the quadratic equation's discriminant.

where a, b, and c are the coefficients of the equation in the form ax² + bx + c = 0.

Therefore,

D = b² - 4ac

= 2² - 4(3)(1)

= -8

The discriminant of a quadratic equation is found by using the formula D = b² - 4ac, where a, b, and c are the coefficients of the equation in the form ax² + bx + c = 0. In this case, a = 3, b = 2, and c = 1, so the discriminant would be D = b² - 4ac = 2² - 4(3)(1) = -8.

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if keene company issues 9,000 shares of $5 par value common stock for $160,000, the account

Answers

Answer: $115,000

Step-by-step explanation:

The common stock is 9000 times 5 = $45000

To Paid-in Capital in Excess of Par = 160,000 - 45,000 = $115,000

How do you find the number of special integers in an array?

Answers

Find the total digits' factorial. Add the factorial together and save it as a variable (s). Compare the total to the specified number (N). The number (N) is a special number if the total equals the number, else it is not.

An element that can be represented by the sum of two numbers, one of which is the opposite of the other, is referred to as a peculiar element. similar to Array is 22 and 121. In this case, 22 = 11 + 11, and 121 = 92 + 29. Consequently, both elements are unique. The PHP count() or sizeof() functions can be used to determine the number of values or elements in an array.

When a variable is initialized with an empty array, the count() and sizeof() functions return 0, but they may also return 0 when a variable is not set.

How many special integers are there in an array:

function findMagicNumber(arr[0...n])

spell n:= NaN

Then magic n:=arr[0] if n = 1

If n is more than 1,

then quicksort(arr) old n:= arr[0]

for i:= 1 to n cur n:= arr[i] repeat:= 0

repeat:=repeat plus one

If repeat is 1,

then magic n:=old n, old n:=cur n, and magic n:=repeat:=0

return magic n.

If cur n old n,

then repeat is 1,

then if repeat = 1

then magic n:=old n, cur_;

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What is the coefficient of x in the expression 5x³ 7x²?

Answers

The coefficient of x in the expression 5x³ 7x² is 5. This means that for every x in the expression, 5 will be multiplied by it. This means that in the expression 5x³ 7x², 5 will be multiplied by x three times and seven will be multiplied by x twice.

The coefficient of x in the expression 5x³ 7x² is 5. This means that for every x in the expression, 5 will be multiplied by it. To calculate the coefficient of x, we need to first expand the expression. The expanded form of the expression 5x³ 7x² is 5x³ + 7x². Here, we can see that 5 is multiplied by x three times and seven is multiplied by x twice. This indicates that the coefficient of x is 5. This can be understood by considering the following example:

Let's say we have the expression 5x³ 7x² = 5x³ + 7x².

Here, 5 is multiplied by x three times and seven is multiplied by x twice. This means that the coefficient of x is 5. This can be written as 5x³ + 7x² = 5x³ + 7x x 1 = 5x(x² + x). Hence, the coefficient of x in the expression 5x³ 7x² is 5.The coefficient of x in the expression 5x³ 7x² can be calculated using the following steps:

Expand the expression 5x³ 7x².

The expanded form of the expression is 5x³ + 7x².

Here, we can see that 5 is multiplied by x three times and seven is multiplied by x twice. This indicates that the coefficient of x is 5.

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Leah buys 32 strips of ribbon. Each strip is 11.2 inches. Estimate the total length of ribbon that Leah buys.

Answers

The total length of ribbon that Leah bought is equal to 358.4 inches.

What is measurement?

In Mathematics, measurement can be defined as an act or process through which the size, weight, magnitude, quantity, volume (capacity), dimensions (length and width), or distance traveled by a physical object or body is taken, especially for the purpose of an experiment.

In order to determine the total length of ribbon that was purchased by Leah, we would have to multiply the length of the strips of ribbon by the length of each of the strips as follows;

Total length of ribbon = Length of the strips of ribbon × Length of each of the strips

Substituting the given parameters into the formula, we have;

Total length of ribbon = 32 × 11.2 inches

Total length of ribbon = 358.4 inches.

In this context, we can reasonably infer and logically deduce that total length of ribbon that was purchased by Leah is equal to 358.4 inches.

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A study indicated that residents of Hillsdale wasted 8,127 gallons of water this year. That is 10% less than they wasted last year. How many gallons of water did the city's residents waste last year?

Answers

The number of gallons of water the city's residents waste last year are 7388.181 by percentage concept.

What is meant by percentage?

A quantity or ratio that is expressed as a fraction of 100 is known as a "a%" in mathematics (from the Latin per centum, "by a hundred"). A% is a dimensionless (pure) number without any measuring units. The Latin word "percentum," which means "hundred" or "by the hundred," is the source of the English term "percent." Over time, the Italian term per cento, which originally meant "for a hundred," shrank to become the symbol for "percent." Per was frequently abbreviated to "p" and finally disappeared altogether.

No. of gallons of water wasted by Hillsdale are 8127 gallons.

110%  -----> 8127

100%  ----->?

x=(100×8127)/110

x= 7388.181

Therefore, the number of gallons of water the city's residents waste last year are 7388.181.

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How many solutions does the pair of equations y 0 and y =- 6 have?

Answers

The equations y = 0 and y = -6 have no solution.

Given equation,

y = 0

y = -6

We will plot these lines on the graph.

According to the graph, the x-axis is represented by the equation y = 0, and a line parallel to the x-axis is represented by the equation y = 6. Thus, it is clear that both lines are parallel, and even if we extended either line in either direction, there was no chance that the two lines would ever collide. However, we are aware that the intersection of the two lines is where the solution of the pair of lines is defined.

Hence, No solution to the lines can be found here.

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Determine the exact surface area of the cylinder in terms of π.

Answers

The exact surface area of the cylinder in terms of π is = 10 π

What is the answer for surface area?

As a refresher, the surface area of an object is the sum of the areas of all of its faces, or the exterior surfaces of its three dimensions. It is calculated in square units.

Where can I find the surface area?

A three-dimensional shape's surface area is the total area on its surface. Add the areas of each of the six rectangular sides of a cuboid to determine its surface area. The cuboid's length, width, and height can also be labeled, and the surface area (SA) can be calculated using the formula SA=2lw+2lh+2hw.

Given that :

Radius = 1 1/4 cm

Height = 2 3/4 cm

Surface area is 2π r h + 2π r² = 2π ( 1 1/4 cm*2 3/4 cm) + 2π (1 1/4)²

= 2π (55/16) + 2π (25/16)

= 160/16 π

= 10 π

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What is the value of a Y in (( 13 20 )- A * 13 y ))= 168 * 13 22?

Answers

Given that value of y exceeds a, then value of a must be smaller than -8.2.

Define the term BODMAS?Children can use the acronym BODMAS to help them remember the right order to carry out mathematical operations while solving problems.We must utilize BODMAS since it has several assumptions in a single equation.Bracket Of Division, Multiplication, Addition, and Subtraction is abbreviated as BODMAS.It makes sense to proceed from division through subtraction as that is how each operation must be performed in an equation.

The provided equation is-

(13-20- A* 13y)= 168* 13-22

We get,

By 260, divide both sides.

Y has a value of -8.265.

Thus, provided that y exceeds a, then value of a must be smaller than -8.2

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The correct question is-

What is the value of (a,y) in (13-20- A* 13y)= 168* 13-22?

How do you find the potential roots of a function?

Answers

We apply the rational root theorem to identify potential rational roots.

Given,

How do you identify a possible logical root?

We can utilize the following parameters in our calculation based on the question:

We have to calculate the potential rational root of a function;

Here,

The following procedures are used to apply the rational root theorem to the possible rational root.

Learn the constant term's components (p)Discover the factors that make up the leading coefficient (q)Discover each potential p/q value.Subtract duplicates from the aforementioned list of rational zeros.

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What is the result when you divide 3 4 by 2/3 *?

Answers

9/8 is the result when we divide 3/4 by 2/3

Method of Division of fraction:

Step 1. Take reciprocal of  the second fraction (the one you want to divide by)

Step 2. Multiply the first fraction by the second faction's reciprocal.

Step 3. Convert the result in the lowest form.

What is lowest form of fraction?

When the numerator and the denominator of the fraction do not have any common factors, the fraction is said to be in its simplest form. For instance, 12 is the most basic version of 6/12.

so the result = (3/4) / (2/3)

=> (3/4) * (3/2)

=> (3*3)/(4*2)

=>9/8

so the result obtanied after the above division is 9/8.

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Are 6 sided dice fair?

Answers

Answer:

Fair dice mean that each of the faces has the same probability of landing facing up. A standard 6-sided die, for example, can be considered “fair” when each of the faces has the same probability of ⅙.

Step-by-step explanation:

What are the 4 types of discontinuity?

Answers

Four types of discontinuity of a function are as follow:

Jump discontinuity , infinite discontinuity, endpoint discontinuity, and Mixed discontinuity.

As given in the question,

Four types of discontinuity are given by :

1. Jump discontinuity :

In this type of discontinuity both side of limit that left hand side and right hand side limit exist but both represents the different value .

2. Infinite discontinuity :

In this case both the side of limit exist but are reaches to infinity.

3. Endpoint discontinuity:

In this case only one side either left or right side of limit exist.

4. Mixed discontinuity:

In this case at least one side of limit either right or left does not exist.

Therefore, the four types of discontinuity are :

Jump discontinuity , infinite discontinuity, endpoint discontinuity, and Mixed discontinuity.

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What is the median of the following number 10 6 4 4 6 4 1?

Answers

Answer: 4

Step-by-step explanation: 10, 6, 4, 4, 6, 4, 1.

In total, there are seven numbers.

The fourth number, number four (4), is the middle because it's in the middle.

Find The Area Of The Shaded Region. R^ 2 = Sin (2 Theta).

Answers

The area enclosed in the figure of the graph of r² = sin(2θ) is

1 square units.

What is polar equation?

A polar equation of a curve is usually expressed in polar coordinates and written with {r} as a function of {θ}.

Given is a polar equation as follows -

r² = sin(2θ)

Area enclosed in the figure is equivalent to -

{A} = 2{∫1/2r²dθ}

{A} = ∫r²dθ

{A} = ∫sin(2θ) dθ

{A} = {- cos(2θ)/2}     (integral limit -> 0 to π/2)

{A} = {- cos(π)/2 + cos(0)/2}

{A} = 1/2 + 1/2

{A} = 1

Therefore, the area enclosed in the figure of the graph of r² = sin(2θ) is

1 square units.

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find an equation of the tangent line to the curve at the given point. y = 3ex cos(x), (0, 3)

Answers

A equation of the tangent line to the curve is y = 3x + 3

The term tangent line in math is calculated as an equation of the tangent line we have to find the derivative of the function and its value at the given point.

And then we have to the function given is a product of an exponential and cosine function. We will have to use product rule.

Finally, we have to write the equation of tangent line by point slope form.

Here we have the curve equation as,

=> y = 3eˣcos(x)

Now, we have to calculate the derivative y' from the given equation, then we get,

=> y' = = 3(eˣ (−sin x) + (cos x) eˣ)

Now, it can be simplified as,

=>y' = 3eˣ(cos x − sin x)

Here we have given that the the slope of the tangent line at (0, 3), then the value of

=> 3e⁰(cos0−sin0) = 3(1−0) = 3

Then the equation is written as

=> y − 3 = 3(x − 0)

=> y = 3x + 3

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A triangle has sides with lengths of 65 kilometers, 72 kilometers, and 97 kilometers. Is it a
right triangle?

Answers

Answer:

no

Step-by-step explanation:

You pull sideways on a 50 kg crate with a force of 450 n. There is also a 250 n frictional force on the box. What is the acceleration of the box?.

Answers

The acceleration of the box is 4m/s².

Acceleration is a vector quantity as it has both magnitude and direction. It is also the second derivative of position with respect to time or it is the first derivative of velocity with respect to time. The change in the velocity of an object could be an increase or decrease in speed or a change in the direction of motion.

We know the frictional force f=μN where N=normal force = mg

Given that,

Frictional force μ = 250N

Hence F(net)= F(app)- f = 450 - 250 = 200 N

We know Force(F)=ma

a=200/50 = 4m/s²

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We know the frictional force f=μN where N=normal force = mg

Given that,

Frictional force μ = 250N

Hence F(net)= F(app)- f = 450 - 250 = 200 N

We know Force(F)=ma

a=200/50 = 4m/s²

Other Questions
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