What is the Volume and surface area of a cone with a diameter of 18ft and a slant height of 30ft

Answers

Answer 1

Answer:

A cone with a diameter of 18ft and a slant height of 30ft

Using Pythagorean theorem, the height is calculated by:

H = sqrt(18^2 - (30/2)^2) = 9.95

The surface area:

A = lateral surface area + base

A = pi x radius x slant height + pi x radius^2

A = pi x (30/2) x 18 + pi x (30/2)^2 = ~1555.1 (ft2)

The volume:

V = base x height x (1/3)

V = pi x radius^2 x height

V = pi x (30/2)^2 x 9.95 = 7033.2 (ft3)

Hope this helps!

:)


Related Questions

The graph of the function f is shown below Find one value of x for which f(x) =2 and find f(2)A- One value of X for which f(x)=2: B- f(2) =

The graph of the function f is shown below Find one value of x for which f(x) =2 and find f(2)A- One

Answers

To find the corresponding x where the function assumes a certain value, we draw a horizontal line on the desired function value. For f(x) = 2, we have:

The intercept between the horizontal line and our graph happens at (0, 2), therefore, we have:

\(f(x)=2\implies x=0\)

To evaluate graphically a function, we check the corresponding value for the desired x value on the horizontal axis. For x = 2, we have:

Then

\(f(2)=1\)

The graph of the function f is shown below Find one value of x for which f(x) =2 and find f(2)A- One
The graph of the function f is shown below Find one value of x for which f(x) =2 and find f(2)A- One

If ABC=DEF and MNO=PQR, then ABC=PQR by the transitive property.

○A. True
○B. False

If ABC=DEF and MNO=PQR, then ABC=PQR by the transitive property.A. TrueB. False

Answers

Answer:

B. False

Step-by-step explanation:

There is not enough information to make that conclusion. The two statements are completely unrelated, so the transitive property cannot be used. None of the given statements say that ABC is congruent to MNO or PQR. That means that nothing can be assumed about DEF. To use the transitive property you would need proof that ABC=MNO or ABC=PQR. But neither of those statements are there so the answer is false.

Answer:

true

Step-by-step explanation:

a pe c

how do i solve \(2x^{5} y -3x^{2} y

Answers

u can use the math version i think

Assume that a medical research study found a correlation of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer. This could be interpreted to mean:
a. the more vitamin A consumed, the lower a person's chances are of getting this type of cancer
b. the more vitamin A consumed, the higher a person's chances are of getting this type of cancer
c. vitamin A causes this type of cancer

Answers

The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.

A correlation coefficient measures the strength and direction of the linear relationship between two variables.

In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.

Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.

However, it is important to note that correlation does not imply causation.

It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.

Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.

To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.

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Rewrite the expression using radical notation.

\(14( \frac{2}{5} )\)


Answers

The answer is 28/5 I believe!

Name a ratio that is equivalent to 2:3

Answers

The ratio 2 : 3 is the same as the ratio of 6 : 15. 2.) This is an example of scaling down by a scale factor of 5. The ratio 8 to 11 is the same as the ratio 40 : 55.

Answer:

4:6

Step-by-step explanation:

You multiply 2 by 2 and you get 4, if you multiply 3 by 2 you get 6, so that means they are equivalent.

Solve. x/4 + ½ = 1/8
x = ____ (Simplify your answer.)

Answers

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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please help i dont understand

please help i dont understand

Answers

Answer:

b = a - 18

Step-by-step explanation:

→ Subtract 18 from both sides

b = a - 18

Answer:

does B equal anything? otherwise it's b = a - 18 or -18a

A direct relationship between two variables is reflected in a(n) _____ correlation coefficient.

Answers

A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.

Correlation is a statistical technique for measuring and describing the relationship between two variables.

The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.

Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.

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a numerical measure of linear association between two variables is the . a. z-score b. correlation coefficient c. variance d. standard deviation

Answers

The numerical measure of linear association is b. correlation coefficient.

What is the statistical term used to describe a quantifiable measure of the linear relationship between two variables?

The correlation coefficient is a statistical measure that represents the degree of linear relationship between two variables. It takes values between -1 and 1, where -1 represents a perfect negative linear correlation, 0 represents no linear correlation, and 1 represents a perfect positive linear correlation.

A positive correlation means that when one variable increases, the other variable also tends to increase, while a negative correlation means that when one variable increases, the other variable tends to decrease.

The correlation coefficient is calculated using the formula:

\(r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)]\)

where r is the correlation coefficient, n is the sample size, Σxy is the sum of the products of the corresponding values of x and y, Σx and Σy are the sums of x and y respectively, and Σx^2 and Σy^2 are the sums of the squares of x and y respectively.

In summary, the correlation coefficient is a measure of the strength and direction of the linear association between two variables.

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Calcula el volumen, en centímetros cúbicos, de una habitación que tiene 5 m de largo, 4 m de ancho y 2.5 m de alto.

Answers

Answer:

50,000,000 centímetros cúbicos.

Step-by-step explanation:

En la pregunta anterior, se nos dan las dimensiones de este cubo en metros como:

Longitud = 5m

Ancho = 4 m

Altura = 2.5 m

Nos dijeron que encontraramos el volumen en centímetros cúbicos

Paso 1

Convierta todas estas dimensiones a centímetros

1m = 100cm

Por lo tanto:

Longitud = 5 m = 5 × 100 cm = 500 cm

Ancho = 4 m = 4 × 100 cm = 400 cm

Altura = 2.5 m = 2.5 × 100cm = 250cm

Paso 2

Fórmula para el volumen de un cubo = Largo × Ancho × Alto

Volumen = 500 cm × 400 cm × 250 cm

Volumen = 50,000,000 centímetros cúbicos.

Por lo tanto, el volumen, en centímetros cúbicos, de la habitación es de 50,000,000 centímetros cúbicos.

Can someone please help me in math?

Answers

Answer:

yes

Step-by-step explanation:

What you don't know. which chapter is hard for you?

Suppose that you have $6,000 to invest. Which investment yields the greater return over a 10 year period: 7.44% compounded daily or 7.5% compounded quarterly? Find the total amount of the investment after 10 years if $6,000 is invested at 7.44% compounded daily. $ (Round to the nearest cent as needed.) help me please im failing ​

Answers

Hi
Here is you answer mate
But don’t forget to mark me the brainliest


Plug the applicable numbers into the compound interest formula and see which is more.
A = p(1+r/n)nt
A = future amount
p =principal investment
r = interest rate as a decimal
n = number times compounded per year
t = time in years

A = 5000(1+.0743/365)365(10)
= 5000(1.000203562)3650 = $10,510.38

A = 5000(1+.075/4)4(10)
= 5000(1.01875)40 = $10,511.75

As you can see these are practically equal, but the 7.5% quarterly is more.

PLEASE HELP, MARKING BRAINLIEST!!!!

These triangles are congruent by _____.

A. AAS
B. ASA
C. HL
D. Not enough information

PLEASE HELP, MARKING BRAINLIEST!!!!These triangles are congruent by _____. A. AASB. ASAC. HLD. Not enough

Answers

Answer:

Hypotenuse leg

Step-by-step explanation:

Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

Answer:

HL im sorry if im  wrong

Step-by-step explanation:

please mark brainleast

Students are going to conduct an experiment to study the effect of a net force applied to an object on the object’s motion. In each trial of the experiment, the students will apply a net force on the object. They also need to take two other measurements. What are the other quantities they should measure in each trial of the experiment?.

Answers

For conducting experiment based on effect of a net force , to apply net force on the object two other quantities should be measured in each trial of the experiment is given by velocity and time.

As given in the question,

To conduct a experiment based on the effect of net force applied to an object the dependable quantities are as follow:

Force = mass × acceleration

As object remain same ⇒ mass is constant as object remain same.

And there is change in the acceleration.

Acceleration depends change in velocity over total time taken.

Acceleration depends on velocity and time.

Net force also depends on velocity and time.

Two measurements need to know  while conducting trail experiments are velocity and time.

Therefore, to conduct experiment based on effect of a net force , to apply net force on the object two other quantities should be measured in each trial of the experiment is given by velocity and time.

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Help me with this Question Please.

Help me with this Question Please.

Answers

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

x is directly proportional to the cube of y
when x=32 y=0.4
find the value of y when x=256

Answers

Answer: 0.512

Step-by-step explanation:

256/32=8

8*(0.4)^3=

8*0.064=0.512

y=0.512

The value of y is 0.8 when x is 256.

What is algebra?

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

x is directly proportional to the cube of y.

Implies that,

x ∝ y³

Or x = k . y³        (1)

Here, k is a constant.

Substitute x = 32 and y = 0.4 in equation (1),

32 = k (0.4)³
32 = k (64/1000)

k = 1000/2

k = 500

To find the value of y when x = 256 and k = 500,

From equation (1)

256 = 500 y³

y³ = 256 / 500

y³ = 64/ 125

y = 4/5

y = 0.8

The required value of y is 0.8 when x = 256.

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Rate of Change
(6, -3)
(-2, 0)

Answers

Answer:

-8 and -3

Step-by-step explanation:

Suppose you're doing a hypothesis test where the level of significance is 0.05, and you get a P-value of 0.165. What would your decision be in Step 4?

Suppose you're doing a hypothesis test where the level of significance is 0.05, and you get a P-value

Answers

Answer;

Reject the null hypothesis

Explanation;

Here, we are having a situation in which the level of significance is less than the p-value

In this type of case, what we simply do is to reject the null hypothesis and accept the alternative hypothesis

Hence, simply put, we are going to reject the nulll hypothesis

which equation represents this statement?
-2 1/4 is the same as the sum of 4/5 times a number and -2
-2 1/4 = 4/5x + (-2)
-2 1/4 = 4/5 + (-2x)
-2 1/4 + 4/5 = -2x
- 2 1/4 + 4/5x = -2

Answers

Answer:

-2 1/4 = 4/5x + (-2)

explanation:

Because read it closely

Answer:

A.)-2 1/4 = 4/5x + (-2)

Step-by-step explanation:

I took the K12 test

Which of the following is a pair of equivalent radical expressions?
A. 45−−√
and 315−−√
B. 75−−√
and 35–√
C. 54−−√
and 96–√
D. 180−−−√
and 320−−√

Answers

The pair of equivalent radical expression is option D. √180 and 3√20.

What are Radicals?

Radicals are defined as the nth root of a number using the symbol  \(\sqrt[n]{x}\).

This is the opposite form of the exponential functions.

\(\sqrt[n]{x}\) can be written in the exponential form as \(x^{1/n\).

A.√45 can be written as the square root of (15 × 3).

√45 = √(15 × 3) ≠ 3√15

B. √75 cannot be written as 3√5, since, if we have to take 3 outside, inside he root there must be 3² = 9. But 75 is not a multiple of 9.

C. √54 = √(9 × 6) = 3√6 ≠ 9√6

D. √180 = √(9 × 20) = √9 × √20 = 3√20

Hence the correct option is D.

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The clear question is given below.

Which of the following is a pair of equivalent radical expressions?

A. √45 and 3√15

B. √ 75 and 3√5

C. √54 and 9√6

D. √180 and 3√20

The line plot represents the wait time in line for a ride at a local fair.

A line plot titled Wait Time at the Fair. The horizontal line labeled Time in Minutes begins at 4, with every one unit labeled up to 10. There are 2 dots above 8. There are 3 dots above 5. There are 5 dots above 7. There are 6 dots above 6.

Which of the following best describes the shape of the data, and why?

The data is skewed and might mean that the wait times were lower than 5 minutes because the park was not busy.
The data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.
The data is symmetric and might mean that most rides had a wait of 6 to 7 minutes, which are the expected times for those rides.
The data is bimodal with peaks and might mean that the wait times were usually 5 or 7 minutes to ride, which is lower than the expected wait time for those rides.

Answers

The data being skewed and indicating higher wait times above 7 minutes due to a busy park is the most suitable description based on the given line plot.

The best description of the shape of the data is that it is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.

Here's the explanation:

From the line plot, we can observe that there are 6 dots above 6, 5 dots above 7, 3 dots above 5, and 2 dots above 8.

The distribution is not symmetric, as the data points are not evenly spread around a central value.

The fact that there are more dots above 7 and 8 suggests that the wait times were higher than these values for a significant number of rides. This skewness in the data indicates that there were instances of longer wait times.

Additionally, the presence of dots above 5 and 6 suggests that there were some rides with shorter wait times as well.

However, the higher concentration of dots above 7 and 8 indicates that the park was likely busy, leading to longer wait times.

The option stating that the data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy best aligns with the information provided by the line plot.

It acknowledges the skewness of the data towards higher wait times, suggesting that the park experienced increased demand and longer queues during the fair.

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16. The table shows the height of a plant as it grows. What equation in point-slope form gives the plant's
height at any time? Let y stand for the height of the plant in cm and let x stand for the time in months
Time (months) Plant Height (cm)
15
25
35
45
a.
3
5
7
9
y-15-2(x-3)
b. y-15=5(x-3)
c. y-3=(x-15)
d. The relationship cannot be modeled.

16. The table shows the height of a plant as it grows. What equation in point-slope form gives the plant'sheight

Answers

An equation in point-slope form gives the plant's height at any time include the following: B. y - 15 = 5(x - 3).

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

m represent the slope.x and y represent the points.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (25 - 15)/(5 - 3)

Slope (m) = 10/2

Slope (m) = 5

At data point (3, 15) and a slope of 5, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 15 = 5(x - 3)

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) a stick is broken into three pieces by picking two points independently and uniformly along the stick, and breaking the stick at those two points. what is the probability that the three pieces can be assembled into a triangle?

Answers

The probability that the three pieces can be assembled into a triangle is 25%

Let the length of the stick be 1, so each break can occur at a position in the interval [0,1]. Let x and y be the two breaks in the stick. Then the area of the region in the square bounded x=0, x=1, y=0, y=1, which represents combinations of x and y, for which we can form a triangle. Since the area of the whole square is 1, the area of the region inside is the probability of the triangle.

If y>x, then the lengths of the pieces are x, y-x, and 1-y.

The triangle inequality must hold for each combination of edges.

for  y>x ...

x+y−x≥1−y

x+1−y≥y−x

y−x+1−y≥x

these simplify to...

for  y>x ...

y≥1/2

x+1/2≥y

x≤1/2

If we cut our 1x1 square into two triangles along the line x=y,

then the region in the upper triangle which satisfies the inequalities above forms a smaller triangle which connects the midpoints of the upper triangle.

The lower triangle (x>y), is just a reflection about x=y of the upper triangle, so together, the entire region looks like a bow-tie at a 45 degree angle.

This region takes up 25% of the square,

Thus, the probability that the three pieces can be assembled into a triangle is 25%

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Can somebody plz help me answer this question plz!

Can somebody plz help me answer this question plz!

Answers

Answer:

\(y=-x+9\)

Step-by-step explanation:

This is asking you to write the equation in slope-intercept form:

\(y=mx+b\)

where:

m is the slopeb is the y-interceptx and y are any corresponding coordinate points (x,y)

You need to find the slope of the two given points using:

\((x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope\)

Insert the values:

\((4_{x_{1}},5_{y_{1}})\\\\(-6_{x_{2}},15_{y_{2}})\\\\\frac{15-5}{-6-4} =\frac{10}{-10} =-\frac{10}{10} =-1\)

The slope of the given line is -1. Insert this value into the equation:

\(y=-1x+b\\\\y=-x+b\)

Now insert one of the given coordinate points as x and y to solve for b:

\((4_{x},5_{y})\\\\5=-4+b\\\\5+4=-4+4+b\\\\9=b\)

The y-intercept is 9. Insert the value:

\(y=-x+9\)

:Done

what is the answer to factorise 10x - 15

Answers

Answer:

5(2x-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

10x-15 = 5(2x-3)  ...the factor is : 5

The question is in the image. The final answer is also in the other image.

The question is in the image. The final answer is also in the other image.
The question is in the image. The final answer is also in the other image.

Answers

We have that because the central angle is 90°, the sector represents 1/4 of a circle with a radius of 10 yd.

So, length of the safety rail is given by:

\(l=\frac{1}{4}\cdot2\pi r\)

Where:

r = 10 yd

pi = 3.14

Substitute, we have:

\(l=\frac{1}{4}\cdot2(3.14)(10)=\frac{1}{4}\cdot62.8=15.7\text{ yd}\)

The Answer is 15.7 yd

Next, area of the deck is given by:

\(A=\frac{1}{4}\pi r^2\)

Substitute the values:

\(A=\frac{1}{4}(3.14)(10)^2=\frac{1}{4}(3.14)(100)=\frac{314}{4}=78.5\text{ yd}^2\)

The answer is 78.5 yd^2

531
x 47
Long multiplication :) please help

Answers

The answer to that is 24957

The measures of the angles of a triangle are shown in the figure below. Solve for x.
хо
870
570

The measures of the angles of a triangle are shown in the figure below. Solve for x.870570

Answers

Answer:

Step-by-step explanation:

we know that the sum of the angles in a triangle=180

87+57+x=180

144+x=180

x=180-144=36

x=36

Given the graphed function below, which of the following ordered pairs are found on the inverse function?

Given the graphed function below, which of the following ordered pairs are found on the inverse function?

Answers

It's (8,-2), (5,-1), (2,0), (-1,1), (-4,2).  Just took it and suffered the fate of the wrong answer.

Answer:

C

Step-by-step explanation:

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