When standing upright, Gary knows his eyes are 6 feet above ground level. To determine the depth of a well, he stands in the position shown. Which expression may be used ti determine the volume of the well?
(He is standing 2 feet away from the well and he is looking down at the well creating a right triangle and the well is 6 feet wide)
A. π(6)^2(18)
B. π(3)^2(9)
C. π(3)^2(12)
D. π(3)^2(18)
Answers
The expression that can be used to determine the volume of the well is option D: π(3)^2(18). This expression represents the volume of a right circular cylinder, where π is the mathematical constant pi, (3)^2 is the area of the circular base (since the well has a width of 6 feet, the radius is 3 feet), and 18 is the height of the cylinder.
The well can be approximated as a cylinder since it is assumed to have a constant width throughout its depth. The volume of a cylinder is calculated by multiplying the area of the base (which is a circle) by its height. In this case, the base has a radius of 3 feet (half of the well's width) and therefore an area of π(3)^2. The height of the cylinder is given by the vertical distance from Gary's eyes to the bottom of the well, which is 6 feet. Multiplying the area of the base by the height gives us the volume of the well, resulting in π(3)^2(18).
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Related Questions
what is 20- yards loss
Answers
Answer:
The lost 20 yards is 20-
It takes 3 hours to drive 180 miles. How long will it take to drive 330 miles?
Answers
Answer:
5.5
Step-by-step explanation:
180/3 =60 (60/1 hr)
330/60 =5.5
A scale drawing has a scale of 3 in. : 1 ft. What is the scale factor
Answers
Answer: 3
Step-by-step explanation:
3 divided by 1 equals 3.
A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 10 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 12 minutes. A. What equation can you use to find the distance of the flowerbed from the hive? B. How far is the flowerbed from the hive?
Answers
Answer:
d/10 + 600 + d/6 = 720
450 fts
Step-by-step explanation:
Given that:
Speed from hive to flowerbed = 10 ft/s
Time used in flowerbed = 10 minutes
Speed from flowerbed to hive = 6ft/s
Total time at which bee is away from hive = 12 minutes
Equation to find distance of flowerbed from hive :
Let distance from hive to flowerbed = d
Time taken = distance / speed
Time taken from hive to flowerbed = d/ 10
Time used in flowerbed = 10 minutes = (10 * 60) = 600 seconds
Time taken from flowerbed to hive = d/6
Total time away from hive = 12 mins = (12 * 60) = 720 seconds
A. What equation can you use to find the distance of the flowerbed from the hive?
Distance can be obtained from the formula :
d/10 + 600 + d/6 = 720
B. How far is the flowerbed from the hive?
d/10 + 600 + d/6 = 720
Take L. C. M of 10 and 6 = 30
(3d + 18000 + 5d) = 21600
8d + 18000 = 21600
8d = 21600 - 18000
8d = 3600
d = 3600/8
d = 450
Distance of flowerbed from hive = 450 fts
What is 40÷8175 PLEASE HELP ME H E L P
Answers
Answer:
Step-by-step explanation: 0.00489296636 if you divided by 40 to 8175 but if you wanted 8175 divided 40 it would equal 204.375 just letting you know i used a calculator so if these aren't it then i'm not sure
Through (-4,5) and parallel to y = -3/2x-5
Answers
**Disclaimer** Hi there! I assumed the question to be asking for a line expression. The following answer will be according to this understanding. Please let me know if I am incorrect and I will modify my answer correspondingly
Answer: \(\Large\boxed{y-5=-\dfrac{3}{2} (x+4)}\)
Step-by-step explanation:
Given information
\(\text{Pass~through~point}=(x_1,~y_1)=(-4,~5)\)
\(\text{Parallel~to}:y=-\dfrac{3}{2} x-5\)
Given equation form
Point-slope form is the most efficient way to write the expression
\(\text{Point-slope form}:y-y_1=m(x-x_1)\)
\((x_1,~y_1)=\text{A point that the line passes through}\)
\(m=\text{Slope}\)
Determine the slope
\(\text{Since the line is parallel to } y=-\dfrac{3}{2} x-5 \text{ , by the property of parallel}\\\text{lines, the slope of the given line is also }-\dfrac{3}{2}\)
\(\text{Therefore, m}=-\dfrac{3}{2}\)
Substitute values into the given form
\(y-y_1=m(x-x_1)\)
\(y-(5)=-\dfrac{3}{2} (x-(-4)\)
Simplify the expression
\(\Large\boxed{y-5=-\dfrac{3}{2} (x+4)}\)
Hope this helps!! :)
Please let me know if you have any questions
Find the area of the rhombus shown.
Answers
Answer:
I believe the answer is D.96
Step-by-step explanation:
well all rhombuses can be turned into a square or rectangle. and this looks like the sides are really close. just a guess don't get mad if it's wrong
Whici expression could be used to represent 2/3
Answers
Answer:epression could be used to represent 2/3
1/2
1/3
1/3
true or false correlation between y and x has the same number but opposite sign as the correlation between x and y.
Answers
Answer:
true
Step-by-step explanation:
A correlation is symmetrical;x is as correlated with y as y is with x. The Pearson product-moment correlation can be understood within a regression context,however.
Complete the statement to describe the expression 4.4.4.
You can write the expression as a power, using
as the exponent.
?
Answers
8. What is the SLOPE of this line? *
1/2
5x+3y = 45
Answers
Answer:
The slope of given line is -5/3
Step-by-step explanation:
Given equation of line is:
5x+3y = 45
In order to find the slope of the given line, we have to convert the equation in slope-intercept form first
So,
\(5x+3y = 45\\3y = -5x+45\)
Dividing both sides by 3
\(\frac{3y}{3} = \frac{-5}{3}x+\frac{45}{3}\\y = -\frac{5}{3}x+15\)
The slope-intercept form is given by:
\(y = mx+b\)
Here m(co-efficient of x) is the slope of line
Comparing both equations, we get
m = -5/3
Hence,
The slope of given line is -5/3
1 1/3 divided by 40 by using the algorithm method
Answers
Problem
1 1/3 divided by 40 by using the algorithm method
Solution
For this case we can do this first:
\(1\frac{1}{3}=\frac{1\cdot3+1}{3}=\frac{4}{3}\)And then we can divide this number by 40 like this:
\(\frac{4}{3}\cdot\frac{1}{40}=\frac{4}{120}=\frac{2}{60}=\frac{1}{30}\)What is the confidence level for the interval x ± 1.43????⁄ n ? (Round your answer to one decimal place.)
_________ %
Answers
The confidence level for the interval x ± 1.43/√n is 84.7%.
How to find the confidence level?
The confidence level for the interval x ± 1.43/√n can be found by identifying the critical value and looking it up in a standard normal (z) table.Identify the critical value: In this case, the critical value (z-score) is 1.43.
Look up the critical value in a standard normal (z) table: When you look up 1.43 in a z-table, you find the probability of 0.9236. This means that there is a 92.36% chance that a randomly selected value from the standard normal distribution lies within 1.43 standard deviations from the mean Calculate the confidence level: Since the interval is symmetric, we need to consider the area in both tails of the distribution. To do this, we double the area we found in step 2 (0.9236) and subtract it from 1.
Confidence level = (1 - 2*(1-0.9236)) * 100 = (1 - 2*0.0764) * 100 = (1 - 0.1528) * 100 = 84.72%
Round your answer to one decimal place: 84.7%.
So, the confidence level for the interval x ± 1.43/√n is 84.7%.
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The confidence level for the interval x ± 1.43/√n can be calculated based on the sample size and the desired level of confidence.
How can we calculate the confidence level?The confidence level for a confidence interval is expressed as a percentage and represents the probability that the true population parameter falls within the interval. The confidence level is typically chosen by the researcher and is often set to 90%, 95%, or 99%.
To calculate the confidence interval for a given sample, you would need to know the sample size, the sample mean, and the sample standard deviation. Then, you could use a formula to calculate the interval, such as:
x ± z * (s / √n)
where x is the sample mean, s is the sample standard deviation, n is the sample size, and z is the z-score for the desired level of confidence.
Once you have calculated the interval, you can state the confidence level as the probability that the true population parameter falls within the interval.
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In two years, the value of a car changed from $14,000 to $11,200.What is the percent of change
Answers
Answer:
Percentage change = (14000-11200) / 11200 * 100
= 280000 / 11200
= 25%
So, your final answer is 25%
Hope this helps!
Step-by-step explanation:
Eighth grade F.15 Square roots of perfect squares
What is 49 ?
Answers
Answer:
7
Step-by-step explanation:
because 7x7= 49
hopefully you got it right
Answer:
7
Step-by-step explanation:
What are the coordinates of the point on the directed line segment from (4, -1)(4,−1) to (10, 8)(10,8) that partitions the segment into a ratio of 2 to 1?
Answers
Answer:
\(C(x,y) = (8,5)\)
Step-by-step explanation:
Given
\(A(x_1,y_1) = (4,1)\)
\(B(x_2,y_2) = (10,8)\)
Required
Partition into 2:1
Here, we'll make use of the following formula:
\(C(x,y) = (\frac{nx_1 + mx_2}{m + n},\frac{ny_1 + my_2}{m + n})\)
Where
\(m:n = 2:1\)
Substitute values for m,n,x1,x2,y1 and y2
\(C(x,y) = (\frac{1 * 4 + 2 * 10}{1 + 2},\frac{1 * -1 + 2 * 8}{1 + 2})\)
\(C(x,y) = (\frac{24}{3},\frac{15}{3})\)
\(C(x,y) = (8,5)\)
find the value of x 5x + 2 3x +12
Answers
The value of variable x in the equation is 5.
How to solve equations?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Let's solve the equation for variable x.
Variable is a number represented with a letter in an equation.
Therefore, let's find the variable x in the equation
5x + 2 = 3x + 12
subtract 3x from both sides of the equation
5x + 2 = 3x + 12
5x - 3x + 2 = 3x - 3x + 12
2x + 2 = 12
subtract 2 from both sides of the equation
2x + 2 = 12
2x + 2 - 2 = 12 - 2
2x = 10
divide both sides by 2
x = 10 / 2
Therefore,
x = 5
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Review the graph of f(x).
On a coordinate plane, a curve approaches x = negative 3 in quadrant 2 and approaches the x-axis. Another curve approaches x = negative 3 in quadrant 3, has inflection point (0, 0), and approaches x = 3 in quadrant 1. Another cure approaches the x-axis in quadrant 4 and approaches x = 3 in quadrant 4.
Which statement describes the behavior of the function around the vertical asymptotes?
Around x = negative 3, limit of f (x) as x approaches negative 3 minus = negative infinity and limit of f (x) as x approaches negative 3 plus = infinity. Around x = 3, the function behaves in the same manner as around x = –3.
Around x = negative 3, limit of f (x) as x approaches negative 3 minus = infinity and limit of f (x) as x approaches negative 3 plus = negative infinity. Around x = 3, the function behaves in the same manner as around x = –3.
Around x = negative 3, limit of f (x) as x approaches negative 3 minus = negative infinity and limit of f (x) as x approaches negative 3 plus = infinity. Around x = 3, the function behaves in the opposite manner as around x = –3.
Around x = negative 3, limit of f (x) as x approaches negative 3 minus = infinity and limit of f (x) as x approaches negative 3 plus = negative infinity. Around x = 3, the function behaves in the opposite manner as around x = –3.
Answers
The correct statement regarding the limit of f(x) as x -> 1 is given as follows:
lim x -> 1 f(x) = -∞.
Here,
To obtain lateral limits, we need to take the limit of a function as it approaches a point from the left-hand side and the right-hand side separately.
If the two limits are equal, then this is the limit of the function, while if the lateral limits are different, then the limit of the function does not exist for the value of x.
From quadrant 2, the function approaches x = 1 on quadrant 4, hence the limit to the left is given as follows:
lim x -> 1^- f(x) = -∞.
A graph approaches x = 1 in quadrant 1, and curves down and approaches the x-axis in quadrant 1, hence the limit to the right is given as follows:
lim x -> 1^+ f(x) = -∞.
As the lateral limits are equal, the limit of the function is given as follows:
lim x -> 1 f(x) = -∞.
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complete question:
Review the graph of function f(x). On a coordinate plane, a graph approaches x = negative 3 in quadrant 2, has inflection point (negative 1, 0) and approaches x = 1 in quadrant 4. A graph approaches x = 1 in quadrant 1, and curves down and approaches the x-axis in quadrant 1. Which statement describes Limit of f (x) as x approaches 1?
Missing Information
The problem describes the graph of the function.
help me please!!( 30 POINTS IF ANSWERED!!)
Answers
Answer:
Step-by-step explanation:
b
(50 points) need help with khan practice geometry
Answers
The awnser is 60 because
It is a cube so it has the smae amout of sides
At birth, Paul's puppy
weighed 0.375 pounds.
What is this decimal as a
fraction, in lowest terms?
Answers
Answer:
3/8
Step-by-step explanation:
since 0.375 has three digits after the decimal, it's in the thousandths place.
use the equation (0.375 x 1000) / 1000 to get the fraction 375 / 1000
since it's not in simplified form, you'll need to divide both the numerator and denominator by the highest common factor (the highest possible number which divides both the numbers exactly; via cuemath.com), 125.
use the equation (375 / 125) / (1000 / 125) to get your final answer
375 divided by 125= 3
1000 divided by 125= 8
ans.- 3/8
solve the following equations step by step
x + 7 = 4
Answers
\( \large \text{Answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)
\(x - 7 = 4 \\ x - 7 + 7 = 4 + 7 \\ x = 4 + 7 \\ x = 11\)
Since your answer is ' 11 '
♡ hope it was helpful for you ♡~
Answer:
Thank you for points
Step-by-step explanation:
Thank you
Find the slope and y-intercept of the following graph.
Answers
Answer: Slope is 2/3, y intercept is 3.
what is the 91st term in the following sequence 1,1.01,1.02
Answers
1.909 is the correct answer
What is cluster sampling?
Answers
Cluster sampling is a sampling technique used in statistics and research methodology where a population is divided into groups, or clusters, and a sample is randomly selected from each cluster to be included in the study.
This method is often used when it is difficult or impractical to obtain a simple random sample of individuals from a large and diverse population. For example, in a study of public schools in a state, it may be easier to randomly select a sample of schools and then include all students in those schools in the study, rather than attempting to randomly select individual students from the entire state.
The advantages of cluster sampling include lower costs and greater efficiency than other sampling techniques, particularly when working with large populations. However, it can also increase the risk of sampling bias and decrease the precision of estimates if the clusters are not representative of the larger population. Therefore, it is important to carefully choose clusters that are as heterogeneous as possible within and as similar as possible between clusters.
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find the value of given expression
\( \sqrt{ \frac{242}{2} } \)
Answers
Answer:
the answer is 11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
\( \sqrt{ \frac{242}{2} } \\ = \sqrt{121} \\ = 11\)
1. The length of a rectangle is four
times its width. If the area is 100m
what is the length of the rectangle
Answers
Answer:
20m
Step-by-step explanation:
write a equation duh
x * 4x = 100
u can split 100 into 5 x 20
x * 4x = 5 * 20
x = 5
and 4x = 20
What is the measure of angle z in this figure?
Enter your answer in the box.
z =
°
Answers
Answer:
z = 137°
Step-by-step explanation:
\(z^{o} =(180-43)^{o} =137^{o}\)
Hope this helps
please help us soon as possible I will give you lots of points please help me out please please please please please please please
Answers
Answer:
C
Step-by-step explanation:
I NEED HELP QUICKLY for both X
Answers
The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)
How to solve quadratic equation?The quadratic formula can be use to solve the quadratic equation as follows:
x² - 4x + 4 = 0
Modelling it to quadratic equation, ax² + bx + c
Hence,
using quadratic formula,
\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)
where
a, b and c are the coefficient in the equationHence,
a = 1
b = -4
c = 4
Therefore,
\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)
Finally
x = 2
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