explain how you would caliculate the area of a cross section of the dam without calculus. use your explanations to calculate the area of the cross section

Answers

Answer 1

To calculate the area of a cross section of an arch dam without using calculus, we can approximate it as a combination of basic geometric shapes such as triangles, rectangles, and circles.

Here's a step-by-step explanation of the process,

Divide the cross section of the arch dam into simpler geometric shapes. In the case of an arch dam, it typically consists of a triangular section at the base and a semi-circular section on top.

Calculate the area of the triangular section. Measure the base and height of the triangle, then use the formula for the area of a triangle: Area = (base * height) / 2.

Calculate the area of the semi-circular section. Measure the radius of the semi-circle (which is the same as the radius of the dam), and use the formula for the area of a circle: Area = π * \(r^{2}\) / 2.

Add the areas of the triangular and semi-circular sections together to obtain the total area of the cross section of the arch dam.

It's important to note that this method provides an approximation of the area of the cross section since it involves dividing the shape into simpler geometric figures. The exact area of the cross section of the arch dam requires more precise mathematical techniques, such as integral calculus, which can handle curved surfaces. However, the approximation can be reasonably accurate depending on the accuracy of the measurements and the level of detail in dividing the shape.

Without specific measurements or dimensions provided for the arch dam, it is not possible to calculate the exact area in this context. However, by following the steps mentioned above and substituting the appropriate values for the base, height, and radius, one can calculate the approximate area of a given cross section of an arch dam.

Correct Question :

Explain how you would calculate the area of a cross section of the arch dam without using Calculus. Use your explanation to calculate the area of a cross section of the arch dam. Is the area you found exact? Why or why not?

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Related Questions


Determine whether the statement is true or false. If the statement is false, explain why. The midpoint of the segment joining (0,0) and (38,38) is 19.

Answers

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Please help please! No fake answers pls

Please help please! No fake answers pls

Answers

Answer:

3,8,11

Step-by-step explanation:

if line d was parallel there might be more but it is not so the only ones that are congruent are 3,8 and 11

What do i put for the bottom portion I’m confused plz help

What do i put for the bottom portion Im confused plz help

Answers

Answer:

180°

Step-by-step explanation:

In all triangles, the measure of its three angles always adds up to 180. Therefore, the m∠UWV is 180°.

:Done

solve for x
a) 2
b) 8
c) -2
d) -8

solve for xa) 2b) 8c) -2d) -8

Answers

Answer:

Step-by-step explanation:

These angles are equal because the parallel lines are traversed by a straight line.

17x-6=15x+10 add 6 to each side

17x=15x+16. Subtract 15x from each side

2x=16. divide each side by 2

x=8

A group of 8 people went out to lunch. The amount earn spent is shown in the table, Amount Spent Person on Lunch Brandon $12.00 Natalie $8.00 Anna $11.25 Ethan $7.75 Jacob $9.25 Victoria $11.25 Allison $10.75 Hunter $9.75 What is the mean amount spent on lunch? A. $8.50 B. $10.00 C. $10.25 D. $11.25 ​

Answers

Answer:

10.25

Step-by-step explanation:

,

A quadratic inequality contains the values less than or equal to the quadratic function that has a vertex of (–9, –27) and contains the point (1, 39 and two-thirds) on the boundary.

Which inequality in vertex form represents the description?

y less-than-or-equal-to two-thirds (x minus 9) squared + 27
y less-than-or-equal-to negative two-thirds (x minus 9) squared + 27
y less-than-or-equal-to two-thirds (x + 9) squared minus 27
y less-than-or-equal-to negative two-thirds (x + 9) squared minus 27

Answers

The quadratic inequality is given as follows:

y ≤ 2/3(x + 9)² - 27.

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by the rule presented as follows:

y = a(x - h)² + k

a is the leading coefficient of the equation.

In the context of this problem, the vertex is at point (-9, -27), hence the parameters are as follows:

h = -9, k = -27.

Hence the rule is:

y = a(x + 9)² - 27.

When x = 1, y = 39.67, hence the leading coefficient is calculated as follows:

39.67  = a(1 + 9)² - 27

100a = 66.67

a = 2/3

Hence the inequality is:

y ≤ 2/3(x + 9)² - 27.

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If a 98% confidence interval has bounds 73 and 80, which of the following could be the bounds for a 95% confidence interval? A. 73 and 81. B. 72 and 79. C. 72 and 81. D. 74 and 79.

Answers

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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What is the sum of 1 8 5 16 3 8 ? A. 9 32 B. 13 32 C. 9 16 D. 13 16.

Answers

Answer:

The correct answer is 41

So A is correct

Step-by-step explanation:

41 i think and I’m not sure if u wanted to add or multiply or divide or subtract

PLEASE!!! Distribute 1/2 (4x -8)

Answers

\(\frac{1}{2}(4x-8)=\frac{1}{2}\cdot4x-\frac{1}{2}\cdot8=2x-4\)

Hope this helps :)

\(\frac{1}{2}(4x-8)=\frac{1}{2}\cdot4x-\frac{1}{2}\cdot8=\\\\=\frac{4x}{2}-\frac{8}{2}=\boxed{2x-4}\)

Grade 6,
In if 5 pieces of band paper cost?
Pesos, 25 pieces is how much

Answers

Answer:  4 pencil

Step-by-step explanation:

1/#/test player
O
100%
For a party, Svetlana brought 4 packages of cookies with 16 cookies in each package. She and her friends ate all but 6 cookies,
Which equation can be used to find C, the total number of cookies they ate?
O A, C = (4x 16) + 6
OB, C = (4 + 16) - 6
OC, C = (6 x 16) - 4
OD. C = (4x 16) - 6
O E C = (6 + 16) + 4

Answers

Answer:

Answer is D

C = (4 x 16) - 6

Step-by-step explanation:

There is 4 packages. Packages can hold many cookies in this case 16 cookies can be placed inside 1 package.

The total number of cookies can be calculated:

16 x 4 (4 packages altogether with 16 cookies in each package)

They did not eat 6 cookies so 6 cookies are leftover or remaining:

(16 x 4) - 6 (subtract 6 because they did not eat it, we want what they already ate - takeaway 6)

Basically means: The Total minus The Remaining

(The Total - The Remaining)

Which of the following represents the factorization of the polynomial below?
X2 +9x + 20

Answers

The factorisation of that poly is

(x+4)(x+5)

x^2(y-z)+y^2(z-x)+z^2(x-y)

Answers

I think you just expand itlike this‍♀️
x^2(y-z)+y^2(z-x)+z^2(x-y)

Which fraction is in simplest form?

​2-10​

​5-12​

​3-6​

​4-8

Answers

Answer:

5/12

Step-by-step explanation:

All of the other answers share at least one factor they can be divided by (the numerator in all cases). 5/12 however shares no factors and cannot be simplified anymore.

5/12 is in simplest form because you can not divide 5 into a half.

5/10= b/100 what is the answer to z

Answers

Answer:

B = 50

Step-by-step explanation:

\(\frac{5}{10} =\frac{b}{100}\)   do butterfly multiplication

\(5*100=500\)

\(10*b=10b\)

\(\frac{10b}{10}=\frac{500}{10}\)

B = 50

help i have no clue what this even means

help i have no clue what this even means

Answers

Case 1: largest surface area: 2120 sq. in.

Case 2: smallest surface area: 1380 sq. in. of the wooden block.

What is defined as the cuboid?A three-dimensional shape called a cuboid is described as having six rectangular face, eight vertices, and twelve edges.Twelve edges plus eight vertices and corners to up a cuboid.

For the given question, the dimensions of the wooden block are given.

Length l  = 50 inchesWidth w = 5 unitsHeight h = 2 units

Surface area of a cuboid is = 2lw + 2lh + 2 hw

Case 1: largest surface area.

To get the largest surface area, join the wooden cube along length 50 cm.

Total length = 50 + 50 + 50 = 150 inches.

Put in formula.

Surface area = 2×150×5 + 2×5×2 + 2×2×150

Surface area = 2120 sq. in.

Case 2: smallest surface area.

To get the smallest surface area, join the wooden cube along height 2 cm.

Total length = 2 + 2 + 2 =8 inches.

Put in formula.

Surface area = 2×8×50 + 2×50×5 + 2×5×8

Surface area = 1380 sq. in.

Thus, the smallest surface area of the wooden cube is found as  1380 sq. in.

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The correct question is-

There are 3 identical wooden blocks that are 50 inches long, 5 inches wide and 2 inches thick. If you glue them together , what is the largest and smallest outer surface area can get?

A bedroom door has an area of 21 square feet. Its perimeter is 20 feet. What are the
dimensions of the door?

Answers

Answer:

The door is 7 feet x 3 feet

Step-by-step explanation:

AREA: 7 x 3 = 21

PERIMITER: 7 + 7 + 3 + 3 = 20

6x-30/30-6x x 10/9x-45?

Answers

Answer:

−2/3 (10x3 ( raised to the third power) −9 +69)

Step-by-step explanation:

A uniform E-field of magnitude E and directed horizontally fills a region of space. Points A through D are all inside the uniform field and form a rectangle with horizontal side d as shown. 1 씽 - -- Two particles, 1 and 2, with equal masses and charges q1 = +Q and q2 = +2Q are placed in the field at points B and D respectively and are initially held at rest. Particle 1 is released and allowed to move from B to A under the influence of the E-field only. Particle 2 is moved by an external force (call it "us") from D to C so that it both starts at rest and ends at rest. Which of the following statements about particles 1 and 2 are TRUE? You may select more than one. a. The net work done on particle 1 by the field is zero. b. The Coulomb force exerted on both particles by the source of the E-field increases as they move fro start to finish. c. Particle 1 loses electrical potential energy from start to finish. The electrical potential energy of particle 2 does not change from start to finish. d. The net work done on particle 2 by the field and by us is zero. e. Both particles lose electrical potential energy from start to finish. f. The E-field at point A when particle 1 is at point A has less magnitude than the E-field at point C when particle 2 is at point C. g. Both particles are at rest when they reach points A and C respectively. h. Both particles move through the same potential difference from start to finish. i. The Coulomb force exerted on particle 2 by the source of the E-field is larger in magnitude that the Coulomb force exerted on particle 1 by the source of the E-field.

Answers

In the given problem regarding electric charge, we conclude that options 1, 3, 4, and 6 are correct and true.

In the 1st statement,

it says both particles will be at rest when they reach A and C, which is true as they are addressed towards A and C under a uniform field and will be moving by the force of the electric field (F=QE) but we are applying for Work on it, so it ends at rest.

The 2nd statement is false as

the electric field is uniform and is not changing.

The 3rd statement is true because the forces are different as the Coulomb Force exerted on Particle two by the source of electrical is larger due to the difference in charges.

The 4th Statement is true due to the fact that both of the particles will move through, the same potential difference from start to finish.

The 5th Statement is false, coloumbic force will not increase and will remain constant.

The 6th Statement is true as Both the particles are positive, they are approaching the negative, so potential energy will be decreasing.

The 7th statement is false as the net work done on Particle two by the field and by us is zero but it is not zero.

The 8th statement is false, the electric potential energy of particles does not change from start to finish.

The 9th statement is also false, net work done is not zero due to the reason that electric force is conservative and here we are not coming back to the starting point.

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Consider the following equation y (t) +y (t) = J y()sin(- z)dr, v(0) =1 i) Solve the given integro-differential equation for y (t) using the Laplace transform; ii) By differentiating the integro-differential equation sufficient number of times, convert the integro differential equation into an initial value problem; iii) Solve the initial value problem in part ii) and verify that the solution is the same as the solution in part i).

Answers

To solve the given integro-differential equation, we can use the Laplace transform method.

First, we take the Laplace transform of both sides of the equation and solve for the transformed function Y(s). Then, we inverse Laplace transform Y(s) to obtain the solution y(t) in the time domain.

To convert the integro-differential equation into an initial value problem, we differentiate the equation with respect to t multiple times until the integral term disappears. This results in a differential equation involving derivatives of y(t) only. We can then solve this initial value problem by finding the solution that satisfies the given initial condition.

Finally, we compare the solution obtained from the initial value problem with the solution obtained using the Laplace transform method to verify that they are the same.

To solve part i), we apply the Laplace transform to both sides of the integro-differential equation. After solving for the transformed function Y(s), we take the inverse Laplace transform to obtain y(t).

For part ii), we differentiate the integro-differential equation with respect to t, removing the integral term. We continue differentiating until the equation involves only derivatives of y(t). This results in an initial value problem that can be solved by finding the solution that satisfies the given initial condition.

In part iii), we solve the initial value problem obtained in part ii) to find the solution y(t). We compare this solution with the one obtained from the Laplace transform method in part i) to ensure they are identical, thus confirming the correctness of the solution.

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Please help me. Solve for x. ​

Please help me. Solve for x.

Answers

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{x}{48}=\cfrac{48}{64}\implies \cfrac{x}{48}=\cfrac{3}{4}\implies 4x=144\implies x=\cfrac{144}{4}\implies \boxed{x=36}\)

Please help me. Solve for x.

Trying to get the right number possible. What annual payment is required to pay off a five-year, $25,000 loan if the interest rate being charged is 3.50 percent EAR? (Do not round intermediate calculations. Round the final answer to 2 decimal places.Enter the answer in dollars. Omit $sign in your response.) What is the annualrequirement?

Answers

To calculate the annual payment required to pay off a five-year, $25,000 loan at an interest rate of 3.50 percent EAR, we can use the formula for calculating the equal annual payment for an amortizing loan.

The formula is: A = (P * r) / (1 - (1 + r)^(-n))

Where: A is the annual payment,

P is the loan principal ($25,000 in this case),

r is the annual interest rate in decimal form (0.035),

n is the number of years (5 in this case).

Substituting the given values into the formula, we have:

A = (25,000 * 0.035) / (1 - (1 + 0.035)^(-5))

Simplifying the equation, we can calculate the annual payment:

A = 6,208.61

Therefore, the annual payment required to pay off the five-year, $25,000 loan at an interest rate of 3.50 percent EAR is $6,208.61.

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answer please!!!!!! i need this so i can pass my classes

answer please!!!!!! i need this so i can pass my classes

Answers

The area of the shaded region is given as follows:

1.25 units squared.

How to obtain the area of a rectangle?

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width

The parameters for the shaded region in this problem are given as follows:

Length of 5 units.Width of 1/4 units.

Hence the area is given as follows:

Area = 5 x 1/4

Area = 1.25 units squared.

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The calculation of SNN distance does not take into account the position of shared neighbors in the two nearest neighbor lists. In other words, it might be desirable to give higher similarity to two points that share the same nearest neighbors ranked higher in the nearest neighbor lists. Describe how you might modify the definition of SNN similarity to achieve that. Justify your modification.

Answers

By incorporating this information into the similarity measure, we can produce more accurate and informative results in clustering and classification tasks.

To modify the definition of clustering similarity to take into account the position of shared neighbors in the two nearest neighbor lists, we can introduce a weighting factor that considers the rank of the shared neighbor in each list. This can be achieved by multiplying the regular SNN similarity value by a weight factor that is calculated as the reciprocal of the sum of the ranks of the shared neighbors in the two lists. For example, if two points have a shared neighbor that is ranked 2nd in one list and 3rd in the other list, the weight factor would be 1/(2+3) = 0.2. This weight factor would then be multiplied by the regular SNN similarity value to produce a modified SNN similarity score that gives higher similarity to points that share the same nearest neighbors ranked higher in the nearest neighbor lists. This modification is justified because it takes into account the fact that having shared neighbors that are ranked higher in the nearest neighbor lists is a stronger indicator of similarity than having shared neighbors that are ranked lower.

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15 oranges weigh 3. 75 kilograms (kg). If each orange weighs approximately the same, approximately how much does each orange weigh?

Answers

15/3.75
4 kg

So approximately each orange weighs 4 kilograms.

weather
ill give my whole points for this help

weatherill give my whole points for this help

Answers

Answer:

6

Step-by-step explanation:

3x6=18

Answer:

6

Step-by-step explanation:

18 divided by 3

hope this helps

-mercury

Question 4 of 30
An IV piggyback (IVPB) of 10,000 units/100 mL is to be given over 45 minutes. The pump should
programmed to deliver _mL/hr.(round to the nearest whole number)
Continue

Question 4 of 30An IV piggyback (IVPB) of 10,000 units/100 mL is to be given over 45 minutes. The pump

Answers

Ratios are written as fractions or in the form a:b.  The  pump should be programmed to deliver 133mL/hr

Ratios and proportion

Ratios are written as fractions or in the form a:b.

According to the question, An IV piggyback (IVPB) of 10,000 units/100 mL is to be given over 45 minutes.

We are to determine the number of mL to be given in 60 minutes (1 hr)

100mL = 45 minutes

x mL = 60 minutes

Take the ratio

100/x = 45/60

Cross multiply

45x = 6000

x = 6000/45
x = 133mL/hr

Hence the  pump should be programmed to deliver 133mL/hr

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Find the coordinates of the midpoint of a segment with the given endpoints.
V(-2,5), Z(3,-17)

Answers

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

What is the midpoint of the segment with the given endpoint?

The midpoint formular used in finding the midpoint of a segment is expressed as;

( [x₁+x₂]/2 , [y₁+y₂]/2 )

Given the data in the question;

Point V(-2,5)

x₁ = -2y₁ = 5

Point Z(3,-17)

x₂ = 3y₂ = -17

Plug these values into the equation above.

( [x₁+x₂]/2 , [y₁+y₂]/2 )

( [(-2) + 3]/2 , [5 + (-17)]/2 )

( 1/2 , -12/2 )

( 1/2, -6 )

The coordinate of the midpoint of the segment with the given endpoints is ( 1/2, -6 ).

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The expression a(2.15) is equal to fa for a = 5.
(Type a whole number or a decimal.)

Answers

Answer:

10.75

Step-by-step explanation:

If a=5,

a(2.15) = 5(2.15)

           = 10.75

-2n - 10n + 3 = -n + 5

Answers

This is what I got and I am sure this the answer

-2n - 10n + 3 = -n + 5
Other Questions
i need help pleaseee no files or nun like that THANK YOUU HELP PLEASEEEEEE PLEASEEEEE PLEASEEEEEE can someone answer this please A polynomial function has a root of 7 with multiplicity 2, a root of 1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?The graph of the function is positive on (2, 4).The graph of the function is negative on (4, infinite).The graph of the function is positive on (-infinite, 7).The graph of the function is negative on (7, 1). What was the Brown v Board of Education case about ? Let u = [8 -8 -4] and A = [6 7 11 0 2 -2 1 2 1]. Is u in the subset of R3 spanned by the columns of A? Why or why not? A. Yes, multiplying A by the vector_____writes U as a linear combination of the columns of A.B. No, the reduced row echelon form of the augmented matrix is__which is an inconsistent system Los estudiantes (tener que*) estudiar los verbos= present; preterite; future *a) tengo que; tuve que; tendr queb) tiene que; tuvo que; tendr quec) tienen que; tuvieron que; tendrn qued) tienes que; tuviste que; tendrs que Convert to slope intercept formy-3=-2(x+4) what is the answer for this question sal, the office manager, requests a new laser printer so his assistant, beth, can be more efficient at her job. after securing several quotes, del, the purchasing manger, selects the best choice and passes the request on to his boss, jim to approve the purchase. identify the user in this scenario. Compared to the regulations in the excerpt, Buddhist practices concerning gender roles in the period 600 B.C.E to 600 C.E. differed in that they...A. rejected the validity of marriage as an institutionB. gave bride's mother, rather than the father, the primary role in making marriage decisionsC. offered women and men the possibility of monastic life as an alternative to marriageD. asserted that only marriages based on the free choice of both spouses were valid Which graph shows 3x - y = 1? a pearsons r of .71 for age and attention span would be an example of a __________ correlation. Compare circular RNA molecules to mRNA molecules and list 2-3differences between them, and 2-3 similarities. Should Bunsen burner be used in a bio safety cabinet? simplify the expression (5j + 1)(7) = Plz help .................. Why do you think not all maps have a compass rose? Opinion on human genome germline editing using CRISPR-Cas9 Definition, pros, cons and why are u for or against it When resilient students have negative experiences, they generally a. give up and try something different. b. blame external factors. c. learn from them. d. develop a fixed mindset.