A farmer wants to make a rectangular field with a total area of. It is surrounded by a fence. It is divided into 3 equal areas by fences. What is the shortest total length of fence with which this can be done?.

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Read more about area here:https://brainly.com/question/27440983

#SPJ1

Slope = Change in Y / change in x

Slope = (16 - -9) / (-2 - 3)

Slope = 25/-5

Slope = -5

Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

Answer:

= 11 /10

decimal : 1.1

Step-by-step explanation:

The amount of money in the picture is $1.1.

Money simply means the medium of exchange and it's used for transactions purpose.

From the picture, there a 1dollar bill. Also, it can be seen in the picture that there are 10 1 cents.

Therefore the total amount will be the addition of the paper money and the coins. This will be:

= $1 + 10(1 cent)

= $1 + 10 cents

= $1 + $0.1

= $1.1

This is the value of the money.

Learn more about money on:

brainly.com/question/24373500

#SPJ1

If a=4, b= 7, and B= 75°, the area of triangle ABC is approximately 13.476 square units.

To find the area of triangle ABC given the values of a, b, and B, we can use the formula:

Area = (1/2) * a * b * sin(B)

where a and b are the lengths of two sides of the triangle and B is the angle between them, measured in degrees.

Substituting the given values, we get:

Area = (1/2) * 4 * 7 * sin(75°)

Using a calculator to evaluate the sine of 75°, we get:

Area = (1/2) * 4 * 7 * 0.96593

Area ≈ 13.476 square units

The formula for the area of a triangle involves using the length of two sides and the angle between them.

To learn more about area click on,

https://brainly.com/question/29648395

#SPJ4

Answer:

The notation "f(x)" is exactly the same thing as "y"

Step-by-step explanation:

The effect of using f(x) instead of y is that it allows us to talk about f.

If we have an equation relating X to Y then that's a relationship between rwo nimbers.

For example if you have that y=

\(y = {x}^{3} \)

...then that means that X and Y are some numbers obeying that equation

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

To know more about trigonometric visit :

https://brainly.com/question/29156330

#SPJ11

The exponential function passing through the points (-2, 2500) and (2, 4) is: f(x) = 12500*(4/2500)^(x/4)

An exponential function has the form of f(x) = a*b^x, where "a" is the initial value, "b" is the base, and "x" is the independent variable.

Using the given points, we can set up a system of two equations to solve for "a" and "b":

Dividing the second equation by the first equation gives:

4/2500 = b^2/b^(-2)

Simplifying:

4/2500 = b^4

Taking the fourth root of both sides:

b = (4/2500)^(1/4)

Substituting back into either equation to solve for "a":

Therefore, the exponential function passing through the points (-2, 2500) and (2, 4) is: f(x) = 12500*(4/2500)^(x/4)

Learn more about exponential function

brainly.com/question/15352175

#SPJ11

Answer:

Step-by-step explanation:

In slope-intercept form, an equation of the form y = mx + b represents a linear relationship between the variables x and y. In this case, we want to write an equation to determine the profit (p) based on the number of candy bars sold (c).

To start, we know that the profit is equal to the number of candy bars sold multiplied by the profit per candy bar, plus the initial cost of the candy bars:

p = c * $0.50 + $500

This equation is already in slope-intercept form, with m = $0.50 (the slope of the line) and b = $500 (the y-intercept).

Therefore, the equation that determines the profit (p) based on the number of candy bars sold (c) is:

p = $0.50c + $500

I hope this helps! Let me know if you have any questions.

Answer:

\(58\%\)

Step-by-step explanation:

First, we need to find how much extra water Nathan drinks.

\(60-38=22\) extra ounces.

To find the percent increase:

\(\frac{22}{38} =58\%\) (to the nearest percent)

Hope this helps :)

Check the picture below.

\(4+10x=\cfrac{(9x+20)+10x}{2}\implies 8+20x=19x+20\implies x=12 \\\\[-0.35em] ~\dotfill\\\\ 4+10x\implies 4+10(12)\implies \stackrel{ \measuredangle DEC }{124^o}\)

1) A  perpendicular bisector in kite ABCD is; BD

2) An isosceles triangle in kite ABCD is; ΔABC

3) A right triangle in kite ABCD is; ΔABM

In geometry, a kite is defined as a quadrilateral with reflection symmetry across a diagonal.

1) A perpendicular bisector is defined as a line segment which bisects another line segment at 90 degrees.

Looking at the diagram, Line BD bisects Line AC and as such BD is the perpendicular bisector.

2) An Isosceles triangle is defined as a a triangle in which two sides have the same length.

In this case, in Triangle ABC, AB and BC have the same length and as such Triangle ABC is the Isosceles Triangle.

3) A right triangle is defined as a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.

In this case if Mis the intersection of BD and AC, then the right angle triangle is ABM

Read more about Kites at; https://brainly.com/question/20597161

#SPJ1

The Solution:

Given:

We are asked to find the output when the input is 3.2

That is, find y when x = 3.2

Therefore, the correct answer is 5.4 [option 4]

hi

Step-by-step explanation:

a

Answer:

a) 2*(x+4)

b) 1/4*x + 1/3*x

Answer:

a) 2(x+4)

b) 7x/12

Step-by-step explanation:

a) Sum of x and 4 is (x+4). Since the number is doubled,

2 * (x+4) = 2(x+4)

b) One fourth of a number x is x/4 and one third of the number is x/3.

Adding these two:

x/4 + x/3

The LCM of 4 and 3 is 12 and so,

(4x + 3x)/12

= 7x/12

Feel free to mark this as brainliest :)

Answer:

9

Step-by-step explanation:

18%of 50

18/100×50

0.18×50= 9

Answer:

9

Step-by-step explanation:

18% of 50

We can rewrite it as,

> 18/100 * 50

Solving,

Hence,18% of 50 = 9

The probability of Victor carrying an umbrella on any given day is: P(C|A) * 1 + P(C|B) * 0 = 0.64 * 1 + 0.04 * 0 = 0.64 In other words, Victor will carry an umbrella on any given day with a probability of 0.64 or 64%.

Before leaving for work, Victor checks the weather report in order to decide whether to carry an umbrella. On any given day, with probability 0.2 the forecast is "rain" and with probability 0.8 the forecast is "no rain". If the forecast is "rain", the probability of actually having rain on that day is 0.8. On the other hand, if the forecast is "no rain", the probability of actually raining is 0.1.

In order to find out the probability of Victor taking an umbrella on any given day, we can consider the following events:A = Forecast is "Rain"B = Forecast is "No Rain"C = Rain on that dayWe want to find out P(C) which is the probability of actually having rain on that day.

Using Bayes' Theorem, we can find the probability of C given A:

P(C|A) = P(A|C)P(C) / [P(A|C)P(C) + P(A|C')P(C')]P(C|A)

= 0.8 * 0.2 / [0.8 * 0.2 + 0.1 * 0.8]

= 0.64

Similarly, we can find the probability of C given B:

P(C|B) = P(B|C)P(C) / [P(B|C)P(C) + P(B|C')P(C')]P(C|B)

= 0.1 * 0.8 / [0.1 * 0.8 + 0.9 * 0.2]

= 0.04

Therefore, the probability of Victor carrying an umbrella on any given day is:

P(C|A) * 1 + P(C|B) * 0

= 0.64 * 1 + 0.04 * 0

= 0.64

In other words, Victor will carry an umbrella on any given day with a probability of 0.64 or 64%.

To know more about probability visit:

https://brainly.com/question/32117953

#SPJ11

Therefore , the solution of the given problem of triangle comes out to be

OAC angle arc is = 55 degrees.

Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.

Here,

Half of the arc AB is the measure of angle OAC, hence the measure of angle OAC is:

OAC = 0.5 times 220 degrees.

110 degrees is OAC.

If the angle OAC is measured as a quarter of an arc AB, then the angle OAC is measured as follows:

OAC equals 0.25 x 220 degrees

OAC = 55 degrees

Therefore , the solution of the given problem of triangle comes out to be

OAC angle arc is = 55 degrees.

To know more about triangle, visit

brainly.com/question/2773823

#SPJ4

The length of the curve is l = ∫80(1+3(y-9)/(32y))^(1/2) dy

To find the length of the curve, we use the formula:

l = ∫a^b [(1 + [f'(x)]^2)^(1/2)] dx

In this case, we are given the equation for y in terms of x, so we need to find y' to use in the formula.

Starting with x = y√3(y-9)/(32y1/2), we can rearrange to solve for y in terms of x:

y = x^2 / [3(x^2/9 + 1)]

Next, we find the derivative of y with respect to x:

y' = [6x / (9x^2 + 27)] - [2x^3 / (9x^2 + 27)^(3/2)]

Simplifying:

y' = 6x / [9(x^2 + 3)] - 2x^3 / [9(x^2 + 3)^(3/2)]

Now we can substitute y' into the formula for l:

l = ∫0^8 [(1 + [6x / (9(x^2 + 3)) - 2x^3 / (9(x^2 + 3)^(3/2))]^2)^(1/2)] dx

Simplifying:

l = ∫0^8 [(1 + 9(x-9)^2 / (32x^2))^(1/2)] dx

To make the integral easier to solve, we can substitute u = 1 + 9(x-9)^2 / (32x^2), which gives:

l = ∫1.5^5.5 [2/3 * u^(1/2) * (u - 1)^(1/2) / (9(u-1) + 8(u-1)^(3/2))] du

Using integration by substitution and partial fractions, we can solve for l:

l = 16/27 [ (13/16)^{3/2} - (5/16)^{3/2} + 2(13/16)^{1/2} - 2(5/16)^{1/2} ]

For more questions like Integral click the link below:

https://brainly.com/question/18125359

#SPJ11

The probability that a family with 4 children has no more than 3 boys is 15/16.

To find the probability that a family with 4 children has no more than 3 boys, we can use the binomial distribution.

The binomial distribution is used to calculate the probability of obtaining a certain number of successes (boys in this case) in a fixed number of trials (children in this case), where each trial has only two possible outcomes (boy or girl) and the trials are independent.

Let X be the number of boys in the family. We want to find P(X ≤ 3), which is the probability of having no more than 3 boys. Since the probability of having a boy is 1/2 and the trials are independent, we can use the binomial distribution formula:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= (1/2)⁴ + 4(1/2)⁴ + 6(1/2)⁴ + 4(1/2)⁴

= 15/16

To learn more about probability click on,

https://brainly.com/question/29973811

#SPJ4

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

Visit here to learn more about median:

brainly.com/question/26177250

#SPJ11

The other two angle measures of a right triangle with side lengths 5, 12, and 13 can be found using trigonometric ratios. Let's label the sides of the triangle as follows:

- The side opposite the angle we are looking for is 5.
- The side adjacent to the angle we are looking for is 12.
- The hypotenuse is 13.

To find the first angle, we will use the inverse tangent function (tan^(-1)). The formula is:
Angle = tan^(-1)(opposite/adjacent)

Plugging in the values, we get:
Angle = tan^(-1)(5/12)

Using a calculator, we find this angle to be approximately 22.6 degrees (rounded to the nearest degree).

To find the second angle, we will use the fact that the sum of the angles in a triangle is 180 degrees. Therefore, the second angle can be found by subtracting the right angle (90 degrees) and the first angle from 180 degrees.
Second angle = 180 - 90 - 22.6

Calculating this, we find the second angle to be approximately 67.4 degrees (rounded to the nearest degree).

Therefore, the other two angle measures of the right triangle are approximately 23 degrees and 67 degrees.

To know more about   angle   visit

https://brainly.com/question/30147425

#SPJ11

The Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated. The Publicity Test indicates that the decision has been well received and is aligned with public expectations.

- The Publicity Test is designed to assess whether the decision or action can withstand public scrutiny and be disclosed openly.

- I score this test an 8 because the decision or action in question has already been made public and received positive feedback from various stakeholders.

- The organization has been transparent in its communication, engaging with the public and addressing concerns promptly.

- The decision aligns with the organization's values and mission, which resonates positively with the public.

- The organization has effectively managed any potential negative publicity by proactively addressing criticisms and providing clear justifications for the decision.

- Overall, the Publicity Test indicates that the decision has been well received and is aligned with public expectations.

The Moral Mentor Test Score: 6

- The Moral Mentor Test evaluates the decision or action by considering whether it reflects the guidance of a wise and ethical mentor.

- I score this test a 6 because while the decision is generally ethical, there are some potential ethical dilemmas that need to be carefully addressed.

- The decision has considered the welfare of various stakeholders and adheres to legal and regulatory frameworks.

- However, there might be some moral complexities associated with certain aspects of the decision that need further evaluation.

- It is important for the organization to seek guidance from ethical experts and consider potential long-term consequences to ensure the decision aligns with the principles of a moral mentor.

- Overall, the Moral Mentor Test suggests that the decision is on the right track but requires careful ethical analysis and considerations.

The Admired Observer Test Score: 9

- The Admired Observer Test assesses whether the decision or action would be approved by an admired and objective observer.

- I score this test a 9 because the decision demonstrates a high level of integrity and is likely to be approved by an objective observer.

- The decision is aligned with industry best practices and follows ethical guidelines.

- It takes into account the interests of various stakeholders and aims to maximize positive outcomes for all parties involved.

- The decision is well-reasoned, considering both short-term and long-term implications.

- Overall, the Admired Observer Test indicates that the decision is commendable and likely to be seen as fair and ethical by an objective observer.

The Transparency Test Score: 7

- The Transparency Test evaluates whether the decision-making process is transparent and accountable.

- I score this test a 7 because while the decision-making process has been relatively transparent, there is room for improvement.

- The organization has provided some level of information and rationale behind the decision, but there may be areas where more transparency is required.

- It is essential for the organization to proactively communicate the decision, its underlying factors, and potential impacts to ensure stakeholders have a clear understanding.

- Increasing transparency can help build trust and mitigate any potential misunderstandings or mistrust.

- The Person in the Mirror Test assesses whether the decision or action aligns with the individual's values and principles.

- I score this test an 8 because the decision demonstrates alignment with the individual's values and principles.

- The decision-maker has considered the ethical implications and personal integrity while making the decision.

- The decision reflects a commitment to fairness, honesty, and accountability.

I score this test a 9 because the decision demonstrates a high level of empathy and fairness towards others.

- The decision considers the interests and well-being of various stakeholders, treating them with respect and dignity.

- It reflects a commitment to fairness, equality, and reciprocity in relationships.

- The organization has taken steps to ensure that the decision does not cause harm or disproportionately benefit any specific group.

- Overall, the Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated.

Learn more about empathy here

https://brainly.com/question/20047598

#SPJ11

There is a zero for f(x) between a and b.

Using the Intermediate Value Theorem, we can show that the function f(x)=2x3+6x2-3a-2 has a zero between a and b.

The Intermediate Value Theorem states that if a continuous function f(x) takes on different values at two points a and b, then there must exist at least one value c in between a and b such that f(c) = 0. Since f(x) is a continuous function, it takes on different values at a and b.

Thus, by the Intermediate Value Theorem, there must exist at least one value c in between a and b such that f(c) = 0, meaning that there is a zero for f(x) between a and b.

Learn more about Intermediate Value Theorem at

https://brainly.com/question/29712240

#SPJ11

Answer:

c

Step-by-step explanation:

plug in 6 or -6 into x. square it. get 36 -11 =25

Answer:

c/d(most likely d)

Step explanation:

f(x)=x^2-11

For f(x) to be <25 x^2-11 must be x^2-11 < 25

Number just greater than 25 is 26 so x^2-11<25

x^2-11<25

x^2<36

x<√36

Therefore, for x^2-11<25 x must be between +6 & -6

Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)

If a spherical hot air balloon inflates at a rate of 101 ft³/min.  The rate  that the radius is changing when the surface area is 20.2 ft²  is 0.

Using the volume of a spherical balloon formula

V = (4/3)πr³

Take the derivative of both sides

dV/dt = 4πr² (dr/dt)

Substituting

20.2 = 4πr²

Differentiate both sides

d/dt (20.2) = d/dt (4πr²)

0 = 8πr(dr/dt)

Solve for dr/dt:

dr/dt = 0 / (8πr)

dr/dt = 0

Therefore the rate of change of the radius (dr/dt) is 0.

Learn more about rate of change here:https://brainly.com/question/8728504

#SPJ1

The sides of an irregular shape are not all the same length. We add together all the lengths of an irregular shape's outer sides to determine its perimeter.

The full distance around any two-dimensional closed shape is referred to as its perimeter. the outermost point of a polygon, like this: The total of the four sides makes up the square's circumference. The total of a rectangle's four sides is its perimeter.

using the circumference formula, get the length of that area of the figure, and then add that length to the sum of the other sides.

Area is the portion of the plane or region that a closed figure occupies, whereas perimeter refers to the space surrounding it. You will study the areas and perimeters of a few more plane figures in this class.

Therefore, The sides of an irregular shape are not all the same length. We add together all the lengths of an irregular shape's outer sides to determine its perimeter.

Learn more about perimeter here:

https://brainly.com/question/20562416

#SPJ1

The correct answer is A. The standard error of the sample proportion will become larger as the sample size increases.

The standard error is a measure of the variability or uncertainty associated with an estimate. In the case of the sample proportion, it measures the spread or variability in the proportion of successes observed in the sample compared to the true population proportion.

As the sample size increases, the standard error decreases, indicating greater precision in estimating the true population proportion. This is because a larger sample provides more information and reduces the impact of sampling variability.

On the other hand, options B, C, and D are incorrect. The standard error is not affected by the population proportion itself but rather by the sample size. The population proportion approaching 0.50, 1.00, or 0 does not directly impact the standard error, although it may affect other measures such as the margin of error or confidence intervals. The primary factor influencing the standard error is the sample size, with larger samples leading to smaller standard errors.

To know more about standard error, refer here:

https://brainly.com/question/32854773#

#SPJ11

Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

More on child development: https://brainly.com/question/6864069

#SPJ11