The volume of this cone is 932.58 cubic meters. What is the height of this cone?
Answers
The height of the cone is approximately 9 meters.
The formula for the volume (V) of a cone is given by:
[tex]\[ V = \frac{1}{3} \pi r^2 h \][/tex]
where r is the radius of the base and h is the height.
Given that the volume V is 932.58 cubic meters, we can rearrange the formula to solve for h:
[tex]\[ h = \frac{3V}{\pi r^2} \][/tex]
Since the problem doesn't provide the radius r, we cannot calculate the exact height. However, if the cone is assumed to have a radius of 1 meter (as it's not provided), you can substitute the values into the formula:
[tex]\[ h = \frac{3 \times 932.58}{3.14 \times 1^2} \][/tex]
Simplifying this gives:
[tex]\[ h \approx 9 \, \text{meters} \][/tex]
Therefore, under the assumption of a radius of 1 meter, the height of the cone is approximately 9 meters.
Related Questions
How is technology affecting the places where people work?
A.more people are working at there own businesses rather than working for others
B.More people are working in the suburban or rural areas near large cities
C.more people are working from a remote location rather than an office building
D.more people are working in a larger and taller building in central cities
Answers
Answer:
A
Step-by-step explanation:
Because think about it if there’s no one working in a business then there’s no work and no one gets paid in their business that’s how technology affects places where people work.
The answer is option C - More people are working from a remote location rather than an office building.
Technology has enabled a significant shift in the way people work, allowing many to perform their tasks remotely from locations outside of traditional office settings. With advancements in communication technology, internet connectivity, and collaboration tools, individuals can now work from virtually anywhere with an Internet connection. This trend towards remote work has been accelerated by factors such as the COVID-19 pandemic, which necessitated remote work arrangements for many organizations.
As a result, more people are opting to work from home, co-working spaces, or other remote locations rather than commuting to and working in traditional office buildings. This shift has several implications, including increased flexibility for workers, reduced commuting time and expenses, and the ability for companies to tap into talent from diverse geographical areas without the need for physical relocation.
While some individuals still prefer or require the structure and social interaction of a traditional office environment, the rise of remote work options has fundamentally changed the landscape of where and how people work.
Ben has some tiles. Each tile is the shape of a parallelogram. 6cm at the top and 10cm on the side He places the tiles in a row to make a shape with area 720cm2. How many tiles does he use?
Answers
Answer:
12 tiles
Step-by-step explanation:
First we need to find the area of the parallelogram, which can be found by the product of the two dimensions.
If the parallelogram has 6 cm and 10 cm, the area is 6 * 10 = 60 cm2
Then to find how many tiles are needed to fill the area of 720 cm2. we can do a rule of three:
1 tile -> 60 cm2
x tiles -> 720 cm2
x = 720 / 60 = 12 tiles
Ariana has 2/3 quart of milk. She uses 3/4 of it in a recipe. How much milk did Ariana use in her recipe?
Answers
Answer:
the answer is 1/12
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
The age of the Hawaiian islands gets older as you move from east to west. If the half-life of K-40 is 1.3 billion years, approximate the age of Maui if a sample rock on the island has 99.96% of its parent K-40 remaining.
Answers
Answer:
[tex]t \approx 750550.12\,yr[/tex]
Step-by-step explanation:
The time constant of the isotope is:
[tex]\tau = \frac{1.3\times 10^{9}\,yr}{\ln 2}[/tex]
[tex]\tau \approx 1.876 \times 10^{9}\,yr[/tex]
The decay of the isotope is described by the following model:
[tex]\frac{m}{m_{o}} = e^{-\frac{t}{\tau} }[/tex]
Now, the time is cleared in the equation:
[tex]t = -\tau \cdot \ln \frac{m}{m_{o}}[/tex]
[tex]t = - (1.876\times 10^{9}\,yr)\cdot \ln 0.9996[/tex]
[tex]t \approx 750550.12\,yr[/tex]
The rock from Maui with 99.96% of its parent K-40 remaining is significantly younger than 1.3 billion years, the half-life of K-40. The precise age calculation would yield a time much less than the half-life, indicating the rock's relative youth.
Explanation:The age of a rock that has 99.96% of its parent K-40 remaining can be calculated using the half-life of K-40, which is 1.3 billion years. Since such a small percentage (0.04%) of K-40 has decayed to form Ar-40, the rock sample from Maui is very young relative to the half-life of K-40. We can estimate the age of the rock by using the concept of half-lives in radioactive decay.
The formula for radioactive decay is: N(t) = N0 (1/2)^(t/T), where N(t) is the amount of the parent isotope remaining, N0 is the initial amount of the parent isotope, t is the time that has elapsed, and T is the half-life of the isotope.
In the case of Maui's rock, with N(t)/N0 being approximately 0.9996 (or 99.96/100), we can set up the equation as follows: 0.9996 = (1/2)^(t/1.3 billion years). Solving for t gives an age that is much less than 1.3 billion years, indicating that the rock is relatively young and has experienced only a fraction of a half-life period.
However, because the amount of decay is so small, it would fall within the uncertainties of practical measurement and thus would only give us an approximation that the age of the rock is significantly less than one half-life, or markedly younger than 1.3 billion years.
4x-12y= 13
32y+14x=13
Answers
Answer:
(143/74, -65/148)
Step-by-step explanation:
We have the equations:
4x - 12y = 13
14x + 32y = 13
Let's use elimination, so multiply the first equation by 8 and the second equation by 3:
8 * (4x - 12y = 13) ⇒ 32x - 96y = 104
3 * (14x + 32y = 13) ⇒ 42x + 96y = 39
Add those two equations:
32x - 96y = 104
+ 42x + 96y = 39
________________
74x + 0y = 143
Divide both sides by 74:
x = 143/74
Plug this into an equation to find y:
4x - 12y = 13
4 * (143/74) - 12y = 13
12y = 572/74 - 13 = -390/74
y = -65/148
The answer is (143/74, -65/148).
Answer:
x = 143/74
y = -65/148
Step-by-step explanation:
4x-12y= 13
4x = 13 + 12y
x = 13/4 + 3y
32y+14x=13
32y + 14(13/4 + 3y) = 13
32y + 91/2 + 42y = 13
74y = 13 - 91/2
74y = -65/2
y = -65/148
x = 13/4 + 3(-65/148)
x = 143/74
x = 143/74
y = -65/148
Jemiy put a small box that is 12 inches long, 8 inches wide, and 4 inches tall inside a box that is 20 inches long, 15 inches wide and 9 inches high.How much more space is left inside the larger box.
Answers
YO MY N E G G GA ITS 40 RACKS ON KEEP IT A ON GANG FORREAL MY N I 6 G A F5CK 12
Answer:
2,316 cu inch
Step-by-step explanation:
.
-74 to the nearest integer
Answers
Answer: 0.0
Step-by-step explanation:
select the equation of a line that is parallel to the line 4y=3x+5
Answers
Answer: y=3/4x+5/4
Step-by-step explanation: First you simplify, so you divide 4 by everything and you get y=3/4x+5/4
Answer:
4y=3x-1
y=3/4x-5/4
Step-by-step explanation:
If a line is parallel to another, the gradient remains the same. So (if you have multiple choice answers), you can rule out the ones without a gradient of 3.
From there, you can either draw or visualise the y-intercept. Do this until you have found the line which is parallel to 4y=3x+1. Hope that made sense :)
A college student needs 15 classes that are worth a total of 40 credits in order to complete her degree. The college offers both 3-credit classes and 2-credit classes. How many 2-credit classes and 3-credit classes can the student take?
Answers
12 three credit classes and two 2 credits
The number of two-credit and three-credit classes that students need to take is 5 and 10 respectively.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
As per the given,
Let's say the number of 2-credit classes is x while 3-credit classes are y.
Total classes, x + y = 15
Total credit 2x + 3y = 40
Solving both equations,
2(15 - y) + 3y = 40
30 - 2y + 3y = 40
30 + y = 40
y = 10
So, x = 15 - 10 = 5
Hence "The number of two-credit and three-credit classes that students need to take is 5 and 10 respectively".
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Tenho a seguinte escolha: ou compro 20 unidades de um produto com todo o dinheiro que tenho, ou compro apenas 14 unidades e ainda me sobra um troco de R$ 30,00. Qual o valor unitário deste produto?
Answers
Answer: The price for the product is R$5.
Step-by-step explanation: Suppose the unit price of the product is X.
T is all the money I have.
In the first option, 20 units spend all my money, so:
T = 20x
In the second option, if I buy 14 of it, I have a remaining of R$30, so:
T = 14.x + 30
To determine the unit valor:
20x = 14x + 30
20x - 14x = 30
x = [tex]\frac{30}{6}[/tex]
x = 5
The product costs R$5.
Answer:
O valor unitário deste produto é de R$ 5.
Step-by-step explanation:
Ao comprar 14 unidades do produto, restam 30 Reais, ao comprar 20 unidades, não resta dinheiro, podemos afirmar que para comprar 6 unidades são necessários 30 Reais.
Portanto, para determinar o valor unitário do produto, devemos dividir os 30 Reais da troco pelas 6 unidades que não foram compradas.
Portanto, como 30/6 resulta em 5, esse é o valor unitário do produto. Cada produto vale 5 Reais.
what are 3 words that describe the volume of rectangular prisms
Answers
Answer:
length*width*height?
Step-by-step explanation:
A rectangle has a base of 2 meters and height of 7 and one-half meters What is the area of the rectangle? 9 and one-half meters squared 15 m2 17 and one-half meters squared 19 m2
Answers
Answer:
Area = 15 m²
Step-by-step explanation:
Area of A rectangle is length * breadth or height.
Length = 2 m
Height = 7.5 m
So the area = 2*7.5
Area = 15 m²
Solve the quadratic equation by using either a numeric or a graphic approach.
x2 - 167–64 = 0
a. X = -11.1 or x = -12.4
c. x = 16.3 or x = -2.9
b. x = 19.3 or x = -3.3
d. x = 1.3 or x = -3.4
Answers
Answer:
C
Step-by-step explanation:
The function V(t)=1,000(1.06)^t models the value of an investment after t years. What does the ".06" represent in the function?
A.The interest rate of the investment
B.The initial amount of money invested
C.The growth factor of the function
D.The total amount of money earned in the investment
Answers
Answer:
A
Step-by-step explanation:
Looking at the function, we have;
V(t) = 1,000(1.06)^t
Mathematically, the amount earned on an investment that offers a particular constant percentage return to a particular number of years can be written as;
V = I(1 + r)^t
where V is the value of the investment after some certain number of years
I is the initial amount invested
r is the constant percentage increase
and t is the number of years.
Let’s now re-write what we can deduce in the question.
This is;
V(t) = 1000(1 + 0.06)^t
Thus what this 0.06 represents is r which is the constant interest rate
The table list the frozen treats sold at the high school football concession stand by the booster club. The items along with their prices and quantities sold (given by the variables a, b, and c) are shown in the table. The expression 1.75a + 2.25b + 2.75a + 2.25c + 1.75b + 1.25c represents what the booster club sold at the last football game.
Which expression is equivalent to the part of the expression that represents the sold quantities of b and c?
A) 4.00b + 3.50c
B) 7.50 + bc
C) 7.50bc
D) 7.50(b + c)
Answers
Answer:
The answer is A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
How long will it take for $2100 to grow to $47200 at an interest rate of 4.5% if the interest is compounded continuously? Round the number of years to the nearest
hundredth
Answers
hi,
you have then : 2100 * 1.045 ^n = 47 200
1.045^n = 47200 /2100
1.045^n = 472/21
n = ln ( 472/21 ) / ln ( 1.045)
n ≈71 years
let's check : 2100 *1.045^70 = 45746,68 and 2100 *1.045^71 = 47805.28
Find the radius of a circle with an area of 562 in2. Round your answer to the nearest
inch.
Answers
Answer:
If the area of a circle is 562 in², then the radius of the circle is about 13 inches long.
Step-by-step explanation:
[tex]A = r^2\pi[/tex]
[tex]r = \sqrt{\frac{A}{\pi } }[/tex]
[tex]r = \sqrt{\frac{562}{\pi } }[/tex]
[tex]r = \sqrt{179}[/tex]
[tex]r[/tex] ≈ [tex]13[/tex]
Answer:
13 inches
Step-by-step explanation:
The area of a circle is given by the equation A = πr²
To solve for r, we must first divide both sides by π to get [tex]\frac{A}{\pi }=r^{2}[/tex]
We must then take the square root of both sides to get r by itself
Doing so, we get [tex]r=\sqrt{\frac{A}{\pi } }[/tex]
Now plugging in our values that we have we can solve for r:
[tex]r=\sqrt{\frac{562}{\pi } }=13.37[/tex] and rounding to the nearest inch gives us 13 inches
The graph of y = x^3 is transformed as shown in the graph below. Which equation represents the transformed function?
Answers
Answer:
y = -6 * x^3
Step-by-step explanation:
We can model the new function as:
f(x) = ax^3
the function y = x^3 have positive values of y for positive values of x, and negative values of y for negative values of x.
As the negative values of x have positive values of y and vice-versa, the first change is to put a negative sign in front of x^3, so we know that 'a' is negative.
Then, for x=1 we have y = -6, so:
-6 = a*1^3
a = -6
So the equation of the transformed function is:
y = -6 * x^3
The length of a rectangle is 5m longer than the width. If the perimeter of the rectangle is 58 m, find its length and width
Answers
Answer:
L = 17 m W = 12 m
Step-by-step explanation:
Here is the answer.
The width of the rectangle is 12 meters, and the length is 17 meters, obtained by setting up equations based on the perimeter and the given relationship between length and width.
To find the length and width of the rectangle, we need to set up equations based on the given information. The question states that the length is 5m longer than the width, and the perimeter is 58m. Let's denote the width as w and the length as l. According to the problem, l = w + 5m.
The formula for the perimeter P of a rectangle is P = 2l + 2w. We can substitute the expression for the length into this formula:
P = 2(w + 5m) + 2w
Since we know the perimeter is 58m:
58m = 2(w + 5m) + 2w
58m = 2w + 10m + 2w
58m = 4w + 10m
48m = 4w
w = 12m
Now we can find the length:
l = w + 5m
l = 12m + 5m
l = 17m
The width of the rectangle is 12 meters and the length is 17 meters.
The graph below shows a line of best fit for data collected on the cost of hardwood flooring, from different vendors, as a function of area.
What is the equation of the line of best fit?
Answers
We have been given a graph that shows a line of best fit for data collected on the cost of hardwood flooring, from different vendors, as a function of area. We are asked to find the equation of line of best fit.
First of all, we will find the slope of line using point (0,0) and (400,1500) using slope formula.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{1500-0}{400-0}[/tex]
[tex]m=\frac{1500}{400}[/tex]
[tex]m=\frac{15}{4}[/tex]
So the slope of line is [tex]\frac{15}{4}[/tex].
We can see that line starts at origin (0,0), so y-intercept will be 0.
Now we will slope-intercept form of equation [tex]y=mx+b[/tex], where m represents slope and b represents the y-intercept.
[tex]y=\frac{15}{4}x+0[/tex]
[tex]y=\frac{15}{4}x[/tex]
Therefore, our required equation would be [tex]y=\frac{15}{4}x[/tex] and option B is the correct choice.
The original price of a computer game is $45. The price is marked down by $18. What percent of the original price is the markdown?
Answers
Answer:
60%
Step-by-step explanation:
To know the discount, we must know how much that $ 18 represents of the original price, as follows:
18/45 = 0.4
That is, $ 18 is 40% of $ 45
Therefore, to calculate the discount we must subtract what represents 45%, that is, 100%
100% - 40% = 60%
In other words, the discount is 60%
Answer:
60
Step-by-step explanation:
2. What is an equation of the line that has slope -4 and passes through the point (-2,-5)?
Answers
Slope = m
y-5 = m(x+2)
Complete the steps to factor 2x^2 + 6x + 5x + 15 by grouping. What is there greatest common factor of Group 2
Answers
Answer: [tex](2x+5)(x+3)[/tex]
Step-by-step explanation:
[tex](2x^2+6x)+(5x+15)\\2x(x+3)+5(x+3)\\(2x+5)(x+3)[/tex]
Answer:
EDG 2021
Step-by-step explanation:
Step 2: C. 2x
Step 3: B. 5
Step 4: C. x + 3
Step 5: A. (x + 3) (2x + 5)
which graph represents a quadratic function that has one real zero?
Answers
Answer:
Step-by-step explanation:
Next time, please share the possible answer choices.
A quadratic function with one real zero actually has TWO real, identical zeros. The vertex of the graph lies on the x-axis (touching it in only one place).
Answer:
a
Step-by-step explanation:
the term to term rule is divide by 2 the third term of the sequence is 3 work out the first term
Answers
Answer:
12
Step-by-step explanation:
if the term to term rule is to divide by two and the third term in the sequence is 3, you work backwards by multiplying by 2
So 3x2=6
6x2= 12
Thus the first number is 12.
working forward again, you can check your answer. Divide 12 by 2, then divide 6 by 2 and you get 3, the third term if the sequence
The first term of the sequence will be 12.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The term to term rule is divide by 2 the third term of the sequence is 3.
Now,
Since, The term to term rule is divide by 2 the third term of the sequence is 3.
So, We get the second number by multiply the 2 in the third number 3.
Second number = 2 x 3
= 6
And, We get the first number by multiply the 2 in the second number 3.
So, First number = 6 x 2
= 12
Thus, The first term of the sequence will be 12.
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Activity
Genivieve and Mindy kept a record of how many ounces of water they drank each day. The two box plots represent the data they gathered.
In this activity, you'll use the data in the box plots to determine the medians and interquartile ranges. Then you’ll compare the values to assess the degree of overlap for the two data distributions.
Part A
What is the median amount of water (in ounces) that Genivieve drank per day?
Answers
Answer:
69 ounces of water
Step-by-step explanation:
Answer:
Step-by-step explanation:
its 69 ounces.
i did the test and got 100% it works :)
A 1/2 pound of strawberries cost $.98. If you bought 5.5 pounds, how much did you spend?
Answers
Answer:
5.5lb of strawberries cost $10.78
Step-by-step explanation:
We can use ratios to solve this problem.
lb : $$$
0.5 : 0.98
5 : 9.8
5.5 : 10.78
5.5lb of strawberries cost $10.78
You can also divide 5.5 by 0.5 (pounds) and multiply the quotient by how much a 0.5 pound of strawberries cost.
To find the total cost of 5.5 pounds of strawberries, determine the cost of one pound by doubling the cost for a half-pound. Then multiply the cost of one pound by the quantity of pounds purchased to get the total cost, which is $10.78.
Explanation:The question asks us to calculate the total cost of 5.5 pounds of strawberries when given the price for a half-pound. The first step is to determine the cost of one pound of strawberries by doubling the cost of the half-pound.
If a 1/2 pound of strawberries costs $0.98, then one pound would cost $1.96 (since 0.98 x 2 = 1.96).
Next, to find out how much 5.5 pounds would cost, multiply the cost of one pound by 5.5:
5.5 pounds of strawberries x $1.96 per pound = $10.78.
Therefore, if you bought 5.5 pounds of strawberries, you would have spent $10.78.
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What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction
Answers
Answer:
[tex]\frac{x+5}{x+3}[/tex]
Step-by-step explanation:
hope this helps!
Answer:
C - 5/y+5
Step-by-step explanation:
edge 2020
Identify the equation in slope-intercept form for the line containing the point (−3,5) and parallel to y=−2/3x+53.
y=−3/2x+5/3
y=−2/3x+5
y=−2/3x+3
y=2/3x+5
Answers
Answer:
y=−2/3x+3
Step-by-step explanation:
I graphed the point and the equation given below. I used the same slope in the new equation as the original equation. The y-intercept is 3 because the line goes through (0,3).
Thus option C : [tex]y = -\dfrac{2}{3}x + 3[/tex] is correct.
Given that:
Equation of considered straight line:
[tex]y = -\dfrac{2}{3}x + 53[/tex]
Let the equation of the straight line that has to be found is given by:
[tex]y = mx + c[/tex]
It is given that the line is parallel to previous straight lines.
Which means that slope of both the lines are same
or
[tex]m = -\dfrac{2}{3}[/tex]
Now since the second line passes through (-3,5), thus we have:
[tex]5 = -\dfrac{2}{3}\times -3 + c\\or\\c = 3[/tex]
Thus the needed equation of straight line is given by:
[tex]y = -\dfrac{2}{3}x + 3[/tex]
Thus option C : [tex]y = -\dfrac{2}{3}x + 3[/tex] is correct.
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You are given information about the amount of each online purchase from a department store website before shipping charges are applied. Find the mean, nledian, mode, range and standard
deviation after a $10 shipping charge is added to each purchase.
Mean: $45.23
Median: $42.31
Mode: $17.49
Range: $347.05
Standard Deviation: $7.57
Answers
Answer:
1. 55.23 2. 52.31 3. 27.49 4. 347.05 5. 7.57
Step-by-step explanation:
Pretty self explanatory when viewing my answers, there is no trick question within this problem, you simply add 10 to the first 3 numbers, but leave the range and standard deviation the same.
Mean = $55.23
Median = $52.31
Mode = $27.49
Range = $347.05
Standard Deviation = $7.57
What are measures Central Tendency?Mean: The mean represents the average value of the dataset.
Median: Median is the middle value of the dataset in which the dataset is arranged in the ascending order or in descending order.
Mode: The mode represents the frequently occurring value in the dataset.
Range: Range is the difference between the largest and smallest value in the data set
Standard Deviation: Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists.
Given, information about online purchases:
Mean = $45.23
Median = $42.31
Mode = $17.49
Range = $347.05
Standard Deviation = $7.57
After adding Shipping Charge of $10 to each purchase:
Since $10 is added to each value then,
New Mean = (∑x + n($10) )/n = ∑x/n + n ($10)/n
New Mean = $45.23 + 10
New Mean = $55.23
To find median, $10 will be added to the value of median.
New Median = $42.31 + $10
New Median = $52.31
To find mode, $10 will be added to the value of mode.
New Mode = $17.49 + $10
New Mode = $27.49
Range and Standard Deviation don't change if we add same value to each data point, It will remain same.
New Range = $347.05
New Standard Deviation = $7.57
Hence, the new mean, new median and new mode are $10 increased than the original ones, there is no change in value of range and standard deviation.
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