What is multiplicity value?

Answers

Answer 1

Multiplicity value is a measure of the number of times a given entity appears in a relationship.

It is expressed as either a single value (1:1, 1:N, or M:N) or as a range of values (e.g. 1..4). This value is used to define the type of relationship between two entities.Multiplicity value is a measure of the number of times a given entity appears in a relationship. It is expressed as either a single value, such as 1:1, 1:N, or M:N, or as a range of values, such as 1..4. These values are used to define the type of relationship between two entities. For example, a 1:1 relationship means that one entity is related to one other entity, such as one customer to one order. A 1:N relationship means that one entity is related to multiple other entities, such as one customer to multiple orders. An M:N relationship means that multiple entities are related to multiple other entities, such as multiple customers to multiple orders.

Learn more about number here

https://brainly.com/question/10547079

#SPJ4


Related Questions

Is purple math free?

Answers

Yes, Purple math is a completely free online math resource for students and teachers.

What is purple math?

Purple math is an online resource that provides comprehensive math lessons and problem-solving tools for students of all ages.

It offers step-by-step instructions for solving math problems, interactive tutorials, and helpful study guides.

The website also features practice tests, quizzes, and a variety of other learning resources to help students improve their math skills.

Purple math makes learning math fun and accessible to everyone, no matter their age or learning level.

According to the given question:

It provides comprehensive math lessons and tutorials, as well as interactive practice questions with instant feedback. It is an invaluable tool for students of all levels as it is free, from middle school to college, who are looking to improve their math skills and better understand mathematical concepts.

To know more about mathematics click-

https://brainly.com/question/24468826

#SPJ4

How do you work out area Grade 6?

Answers

On the basis of their sides, we may similarly determine the areas of various shapes like rectangles, parallelograms, triangles, and any polygon.

The space that the object occupies is called the area. It is the area that any shape resides in. We only take into account a square's side length when calculating its area. Since a square's area is equal to the square of each of its equal sides, it is a square.

On the basis of their sides, we may similarly determine the areas of various shapes like rectangles, parallelograms, triangles, and any polygon. Based on the radius or the separation of the surface's outer line from the axis for curved surface objects, the area of the surface is determined.

To learn more about determine the areas link is here

brainly.com/question/13849751

#SPJ4

Look at this system of equations.
-4x + 3y = 8
2x + 5y = -3
What value of b will make this system have the same solution?
by = 2
2x + 5y = -3
b =

Answers

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

What is the best math equation?Euler's identity is considered to be "the finest of equations" in maths classes because it describes an unlikely combination of five mathematical constants. Euler's equation (published by Leonhard Euler in 1755) applies in the case of a perfect fluid.The basic operations involved in arithmetic are addition, subtraction, multiplication, and division. Arithmetic mean (average) = Sum of values/Number of values.In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.The forms commonly encountered are empirical, molecular, structural, and projection formulas. An empirical formula consists of symbols representing elements in a compound, such as Na for sodium and Cl for chlorine, and subscripts indicating the relative number of atoms of each constituent element.

A General Rule for Solving Equations

Simplify each side of the equation by removing parentheses and combining like terms.Use addition or subtraction to isolate the variable term on one side of the equation.Use multiplication or division to solve for the variable.

x= 9, y= 15

-4x +3y= 8 -----(1)

2x +5y=-3-----(2)

(1) ×2:

-8x +6y= 16 -----(3)

(3) -(2):

-4x +6y -(-8x +6y)= 16 -1

-4x +6y +4x -5y= 15

y= 15

Substitute y= 15 into (1):

-4x +3(15)= 8

-4x+45=8

4x+45-8

4x=37

x=37÷4

x=9

b = 2(9) + 5(15)  + 3

b = 13 + 75 + 3 = 91

To learn more about algebra refer to:

https://brainly.com/question/28196676

#SPJ1

Need help!!

Maria is making t shirts to sell to earn money for a field trip. She only has enough money to make 25 t-shirts or less. If t represents the number of t shirts, write an equality that represents the situation

Answers

Answer: 25 smaller than or equal to  t

Step-by-step explanation:

Because we know that she only has enough money to make 25 t-shirts or less, our number 25 will be smaller than or equal to t.

What is slope in math?

Answers

The slope of a line is the change in the line's y coordinate from its x coordinate.

Determining a line's slope

The shift from the line's y coordinate to its x coordinate is referred to as the slope of a line. The following mathematical formula is used to express the slope of a line:

Slope: y₂-y₁/x₂-x₁

For instance using the coordinate points(0, 0) and (1, 3), respectively, into the formula to obtain:

Slope = 3-0/1-0

Streamline to have:

Slope = 1/3

Slope = 3

As a result, the slope of the line passing the coordinates is 3.

Find out more about line slope here: https://brainly.com/question/3493733

#SPJ1

How do I solve for X?

Answers

Step-by-step explanation:

remember some of the angle theorems inside a circle.

first of all, arc angles are the angles of the corresponding circle segments at the center of the circle (the angle between the lines from the points on the arc to the center).

and, of course, all the arc angles together around a circle are therefore 360°.

so,

(8x + 20) + 104 + arc angle KJP = 360

and then :

the opposite angle is half of the arc angle for the same points on the circle arc.

angle L = 5x + 1 is the opposite angle of K and P, and that is therefore half of the arc angle KJP.

5x + 1 = (arc angle KJP)/2

arc angle KJP = 2×(5x + 1)

and by using this in the first equation we get

(8x + 20) + 104 + 2×(5x + 1) = 360

8x + 124 + 10x + 2 = 360

18x + 126 = 360

18x = 234

x = 234/18 = 13

What is the difference between squaring a number and finding the square root of a number?

Answers

Therefore, square are results multiplying the number by itself whereas square root component of the number.

What is  square root ?

The square root of a number or a root of an equation is the component of the number that results in the original number when multiplied by itself. Exponents are specifically squares and square roots. Consider the number 9. You can write this as or as 3 × 3.

According to the given question:

When you multiply an integer by itself, you get squares.

Alternatively, the square root of an integer is a value that, when multiplied by itself, returns the original value.

This makes both vice-versa approaches.

The square of two is four, for instance, while the square root of four is two.

Therefore , the difference between squaring a number and finding the square root of a number is square are results multiplying the number by itself whereas roots its vice versa.

To know more about square root, visit

https://brainly.com/question/1387049

#SPJ4

How do you do a 3 1 slope?

Answers

3 to 1 slope means: there are three horizontal units for every one vertical unit.

How do one find the slope of a graph?

The slope is computed mathematically as "rise over run" (change in y divided by change in x).

In accordance with the slope equation, the slope of such a line may be determined by dividing the rise of the line between two positions by the run of the same line between the same two sites.

That is to say,

Determine the coordinates of two locations along the line that one choose.Evaluate the differences in these two positions' y-coordinates (rise).Evaluate the differences in these two locations' x-coordinates (run).In order to calculate the difference in y-coordinates (rise/run or slope), divide it by the difference in x-coordinates.

"Ratios like 3:1 are used to represent slopes. This indicates that there is a 1 unit (foot or meter) vertical shift, either up or down, for every 3 units (feet or meters) of horizontal distance."

To know more about slope refer to:

brainly.com/question/26888769

#SPJ4

The complete question is as follows:

How do you do a 3 to 1 slope?

Miyo can make 5 origami figures in 3 minutes. How many origami figures can Miyo make in 18 minutes?

Answers

Answer:

Miyo can make 30 origami figures in 18 minutes

Step-by-step explanation:

tbh, i just counted up by 5's until i reached 18

Answer: 3

Step-by-step explanation: Because we know Miyo can make 5 origami figures in 3 minutes. and we want to know How many origami figures can Miyo make in 18 minutes? so, we know 5*3 is 15. right? well, then we take 18-15 and get 3 so, Miyo can make 3 origami figures in 18 mins.

Which 3 transformations can be described as rigid transformations because they keep shapes congruent?

Answers

The size and shape of things are preserved by stiff transformations (reflections, translations, and rotations). As a result, archetypes and visuals are always compatible.

What is rigid transformations?

The separation between each pair of the geometric object's points is preserved during a rigorous change of the object. In other words, a rigid transformation maintains the object's size and shape. For instance, the rigid transformation of a triangle retains the angles and lengths of the triangle. Imagine a stiff shape distortion, similar to a cardboard shape. The form remains the same after being pushed left and right, rotated, and flipped. When the mold was created using putty, the opposite was true. The thing can then be twisted and stretched. These conversions, nevertheless, are not exact. Stretching a form alters the distances between each pair of its points.

c + 18 + 10 = 42//

[tex]c = 42 -(18 + 10) cm = 14 cm\\s = 21 cm//[/tex]

Area = [tex]\sqrt{s(s - a)(s - b)(s - c) }[/tex]

and, here s = half the perimeter,

[tex](a + b + c)/2.[/tex]

A = [tex]21\sqrt{11}[/tex]

To know more about rigid motion transformations visit:
https://brainly.com/question/29175049

#SPJ4

Determine if the table shows a proportional relationship.



x 7.2 9.2 13.6

y 1.8 2.3 3.4


Yes, it is proportional because all y over x ratios are equivalent to one half.

Yes, it is proportional because all y over x ratios are equivalent to one fourth.

No, it is not proportional because 9.2 over 2.3 does not equal 1.8 over 7.2.

No, it is not proportional because 2.3 over 9.2 does not equal 13.6 over 3.4.

Answers

Answer:

the answer it's No, it is not proportional because 2.3 over 9.2 does not equal 13.6 over 3.4.

Answer: The answer is C!

Step-by-step explanation:

What does ∆ mean in calculus?

Answers

Therefore, the  Uppercase delta (Δ) in calculus denotes the change of variable.

What is calculus?

Calculus is a discipline of mathematics that, in its most basic form, deals with rate of change. As an illustration, suppose you wanted to figure out how fast an automobile would slow down as it approached a stop sign. You may determine that change using calculus. Yes, calculus incorporates movement into math.

Here,

Given: Uppercase delta (Δ)

In math, the uppercase letter delta () typically denotes "change" or "the change."

Consider a scenario where the variable x represents an object's motion.

Consequently, "Δx" denotes "the change in movement." This mathematical interpretation of delta is used by scientists in a variety of scientific fields.

Therefore, the  Uppercase delta (Δ) in calculus denotes the change of variable.

To know more about calculus , visit

https://brainly.com/question/6581270

#SPJ4

help again asap pls!!!!!!!!!

Answers

Answer:

9

Step-by-step explanation:

vertical angles are congruent

110=13x-7

110+7=13x

117=13x

divide

9=x

x=9

Rearrange w = 3(2a + b) - 4 to make a the subject.

Answers

Answer:

The answer is a = w + 4 - 3b/2

Step-by-step explanation:

w = 3(2a + b) - 4

add 4 both sides we get,

w + 4 = 3(2a + b) - 4 + 4

w + 4 = 3(2a + b)

w + 4 = 6a + 3b

Subtract 3b from both sides we get,

w + 4 - 3b = 6a + 3b - 3b

w + 4 - 3b = 2a

Now, Divide both sides by 2 we get,

w + 4 - 3b/2 = 2a/2

a = w + 4 - 3b/2

Thus, The answer is a = w + 4 - 3b/2

A(n) _____ s a numerical summary of a sample. A(n) _____ is a numerical summary of a population.

Answers

Answer:

1. statistic 2. parameter

Step-by-step explanation:

What is the space between contour lines called?

Answers

The space among contour lines are known as Sharp slopes which is closely spaced contour lines. Gently sloping or comparatively flat regions are shown by widely spaced contour lines.

Contour lines link places with the same elevation; if they are close together (they never intersect), the terrain is steep and the elevation changes quickly over a short distance. The elevation changes gently where the contour lines are far apart, indicating a moderate slope.

The areas between the contour lines are filled with colors when using the layer tinting technique. A particular height is indicated by each color. Contours are shown as lines. A hilltop is indicated by a contour line that creates a closed loop with no other contour lines inside. Sharp slopes are indicated by closely spaced contour lines. Gently sloping or comparatively flat regions are shown by widely spaced contour lines.

Learn more about contour lines Visit : brainly.com/question/3543105

#SPJ4

Is triangle LMN a right triangle?

Answers

It is demonstrated in the following figure itself that △LMN is a right triangle.

What is a right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides.

The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.

To describe the sides of right triangles, we utilize specific terminology.

The side opposite the right angle is always the hypotenuse of a right triangle.

So, in the given figure, it is shown that △LMN is a right triangle.

Therefore, it is demonstrated in the following figure itself that △LMN is a right triangle.

Know more about a right triangle here:

https://brainly.com/question/2217700

#SPJ4

To diplay the ditribution of the length in inche of a ample of brook trout, you could ue

Answers

To display the distribution of the lengths in inches of a sample of brook trout, the graph you should use is histogram. (Option A)

A histogram refers to a graphical representation of data points organized into user-specified ranges. It is an approximate representation of the distribution of numerical data. It is similar in appearance to a bar graph; however, the histogram condenses a data series into an easily interpreted visual by taking many data points and grouping them into logical ranges or bins. It is used to summarize discrete or continuous data that are measured on an interval scale. The histogram is represented by a set of rectangles, adjacent to each other, where each bar represents a type of data. Hence, in order to display the distribution of the lengths in inches of a sample of brook trout, the appropriate graph to use is histogram.

Note: The question is incomplete. The complete question is probably is: To display the distribution of the lengths in inches of a sample of brook trout, what graph should you use? A) histogram B) bar chart C) scatterplot D) pie chart E) line graph.

Learn more about Histogram:

https://brainly.com/question/2962546

#SPJ4

i need help ive been stuck on this forever and i just honestly need help.

Answers

The measure of the length AC is 60.

Z = 60

What is a triangle?

It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

BY = YC = 50/2 = 25

BX = XA = 42/2 = 21

Now,

XY is parallel to AC.

BX/XY = BA/AC

21/30 = 42/AC

1/30 = 2/AC

AC = 60

Z = 60

Thus,

The length of the AC is 60.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

What is the mean of the following numbers 23 45 87 40 50?

Answers

The mean of the set of numbers 23, 45, 87, 40, and 50 is 49. This is the average value of the set, and it is affected by all the values in the set.

The mean, also known as the arithmetic mean, of a set of numbers is found by adding up all the numbers in the set and dividing by the total number of numbers in the set. In this case, the set of numbers is 23, 45, 87, 40, 50. When we add up all the numbers in the set, we get a total of 245. There are 5 numbers in the set, so the mean is 245 / 5 = 49.

To find the mean, we first need to add up all the numbers in the set. Then, we divide that sum by the total number of numbers in the set. This gives us the average value of the set.

In summary, the mean of the set of numbers 23, 45, 87, 40, 50 is 49. This is the average value of the set, and it is affected by all the values in the set.

To learn more about the arithmetic mean, visit:

brainly.com/question/23706022

#SPJ4

Which is a factor of x³ 7x 6?

Answers

The factor of  [tex]x^3 -7x + 6[/tex] is (x - 1) (x +3) (x -2).

Now, According to the question:

The given expression to be factorized is :

[tex]x^3 -7x + 6[/tex]

This can be written in the form:

[tex]x^3 -7x + 6[/tex] = [tex]x^3[/tex] - (1 + 6)x + 6

[tex]x^3 -7x + 6[/tex] = [tex]x^3[/tex] -x - 6x + 6

Take common 'x' from the first two terms and -6 from the last two terms. Then we have,

[tex]x^3 -7x + 6[/tex] = x([tex]x^2 -1[/tex]) -6 (x -1)

                  = x{ [tex](x)^2 - (1)^2[/tex] } - 6(x -1)

                  = x(x +1) (x -1) - 6(x -1)

Finally, Take common (x -1) from the above expression:

[tex]x^3 -7x + 6[/tex] = (x -1) {x(x +1) - 6}

                 = (x -1) [tex](x^{2} +x-6)[/tex]

                 = (x -1)([tex]x^{2}[/tex]+3x -2x -6)

                 = (x - 1) (x (x +3) -2 (x +3))

                 = (x - 1) (x +3) (x -2)

Learn more about Factor at:

https://brainly.com/question/30089962

#SPJ4

The complete question is this:

Which is the factor of [tex]x^3 -7x + 6[/tex]

1. x(x -6) (x -1)

2. [tex](x^{2} -6)[/tex] (x -1)

3. (x + 1) (x + 2) (x +3)

4. (x - 1) (x +3) (x -2)

Is 3x 1 a quadratic equation?

Answers

3x - 1 = 0 is not a quadratic equation.

What is a quadratic equation?

A variable with the largest power of two in a quadratic equation is called a variable. Quad, which signifies square, is the root of the term quadratic. The phrase must be two times its own strength, neither higher nor lower.

Given that they are the x values for which f(x) = 0, the roots of the function f(x) = ax² + bx + c correspond to the solutions of the quadratic equation ax² + bx + c = 0.

The term ax² is known as the quadratic term (hence the function's name), the word bx is known as the linear term, and the value c is known as the constant term.

In the given equation: 3x - 1 = 0 , no ax² term is given, so it is not a quadratic equation.

To know more about quadratic equation refer to:

https://brainly.com/question/1214333

#SPJ4

The complete question is as follows:

Is 3x - 1 = 0 a quadratic equation?

What is a graph Grade 4?

Answers

Sets of points connected by typical lines or curves form graphs.

What is a graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.The relationships between two or more items are frequently represented by the points on a graph.The five main types are:Blank graph is a null graph, also known as an empty graph, is a graph with no connections connecting any of its vertices.A connected graph is one in which every pair of its vertices is connected by an edge path.A disconnected graph is one in which not every vertex is always connected by the path of the edges.A graph that can be divided into two sets of vertices, with edges passing solely between the two sets and not among them, is said to be bipartite.Weighted graph  has assigned weights, or numerical values, to each of its edges is referred to as a weighted graph.

To learn more about graphs, refer:

https://brainly.com/question/19040584

#SPJ4

Yin opened a savings account with $3500. The account
earns 8.75% simple interest annually. After how many years will the
balance of the account be $6000? Round to the nearest tenth, if
necessary.

Answers

The time required for the balance of the account to be $6000 is 19.5 years.

What is Simple interest?

The simple interest method, which adds interest to the starting principal amount at the same rate every day, is a quick and easy technique to calculate the interest on that money.

Simple interest is a way to calculate the amount of interest that will be charged on a certain amount of money at a certain rate and for a certain period of time.

As per the information in the question,

Principal amount, p = $3500

Rate, r = 8.75%

End amount = $6000

SI = (p × r × t)/t

6000 = 3500 × 8.75% × t

t = (6000 × 100)/(3500 × 8.75)

t = (600000)/(3500 × 8.75)

t = 19.5 years.

To know more about Simple Interest:

https://brainly.com/question/25845758

#SPJ1

Please give a step by step explanation

Answers

From the concepts and properties of triangles, m∠BDC is 26°.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is equal to 180°.

In the given ΔABD, line segment AD and BD are equal and hence it is an isosceles triangle.

Therefore,

x° + x° + 70° = 180°.

2x° = 110°.

x = 55°.

So, m∠DAB = m∠DBA = 55°.

We know the sum of linear pair of angles is 180°.

Therefore, m∠ABD + m∠DBC = 180°.

55° + m∠DBC = 180°.

m∠DBC = 125°.

Now,

m∠BDC + m∠DCB + m∠CBD = 180.

m∠BDC + 29° + 125° = 180°.

m∠BDC = 26°.

learn more about triangles here :

https://brainly.com/question/17893810

#SPJ1

Wanda is a cake designer with a specialty in rectangular silk screen photo cakes. For every cake that she makes, the width of the cake is 4 inches more than the width of the photo in the center of the cake, and the length of every cake is two times its width. The area of the cake wanda is currently working on is at least 254 square inches.

Answers

The inequality x² + 8x - 238 <= 0 represents the situation in which the area of the cake is at least 254 square inches.

The width of the cake is 4 inches more than the width of the photo, so the width of the cake can be represented by the expression x+4.

The length of the cake is two times its width, so the length of the cake can be represented by the expression 2(x+4).

The area of the cake is the product of its length and width, so it can be represented by the expression (x+4)(2(x+4)).

To represent the situation in which the area of the cake is at least 254 square inches, we can set the expression for the area equal to 254 and solve for x:

(x+4)(2(x+4)) >= 254

2x² + 16x + 16 >= 254

x² + 8x - 238 <= 0

The inequality x² + 8x - 238 <= 0 represents the situation in which the area of the cake is at least 254 square inches.

Learn more about dimensions at

https://brainly.com/question/15308279?referrer=searchResults

#SPJ4

What are the solutions to the quadratic equation 2x² 4x 7?

Answers

x=-2+3√2/2 and x=-2-3√2/2 are solutions of the quadratic equation 2x²+4x=7.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given quadratic equation is 2x²+4x=7

Subtract 7 from both sides of the equation.

2x²+4x-7=0

Use the quadratic formula to find the solutions.

x=-b±√b²-4ac/2a

x=-4±√16-4(2)(-7)/2(2)

x=-4±√16+56/4

x=-4±√16+56/4

x=-2±3√2/2

x=-2+3√2/2 and x=-2-3√2/2

Hence, x=-2+3√2/2 and x=-2-3√2/2 are solutions of the quadratic equation 2x²+4x=7.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ4

A bakery records whether the customer is a loyalty program member or not on each receipt.
Total purchase price for both members and non-members is skewed toward the higher
prices.
The bakery takes separate random samples of 45 receipts from members and non-members.
They look at the difference in the mean total price from each group
(member - non-member).
What do we know about the shape of the sampling distribution of TM - IN, and why?

Answers

The sample size is more than 30 and according to the central limit theorem, with a sample size of more than 30, approximately normal distribution.

What is the central limit theorem?

The central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

We have,

the shape of the sampling distribution of the (mean of members - mean of non-members):

A. It's exactly normal because both populations are normally distributed.

B. It's approximately normal because both sample sizes are at least 30.

C. It's skewed, because the populations are skewed, and both sample sizes are at least 30.

D. The shape cannot be determined since we don't know the shape of either population distribution.

Option (B) is true, as the sample size is more than 30 and according to the central limit theorem, with a sample size of more than 30, approximately normal distribution.

Hence, the sample size is more than 30 and according to the central limit theorem, with a sample size of more than 30, approximately normal distribution.

To learn more about the central limit theorem visit,

https://brainly.com/question/18403552

#SPJ1

How do you find the height of an isosceles triangle without the base?

Answers

The height of the isosceles triangle is  h = [tex]\sqrt{a^{2}-\frac{c^{2} }{4} }[/tex]

Given,

Isosceles triangle;

An isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.

Follow these procedures to determine an isosceles triangle's height:

The lengths of the two equal sides are squared.Step 1 is then reduced by the square of the unequal side length, its result being divided by four.The outcome from Step 2's square root.The height of an isosceles triangle is the outcome.

That is,

Height, h = [tex]\sqrt{a^{2}-\frac{c^{2} }{4} }[/tex]

Learn more about isosceles triangle here;

https://brainly.com/question/29770354

#SPJ4

A boat heading out to sea starts out at Point A, at a horizontal distance of 1032 feet
from a lighthouse/the shore. From that point, the boat's crew measures the angle of
elevation to the lighthouse's beacon-light from that point to be 15°. At some later
time, the crew measures the angle of elevation from point B to be 6°. Find the
distance from point A to point B. Round your answer to the nearest tenth of a foot if
necessary.

Answers

Answer:

  1598.9 ft

Step-by-step explanation:

You want the distance between points A and B when observers at each point find the angle of elevation to a lighthouse beacon to be 15° and 6°, respectively. Point A is 1032 ft horizontal distance from the lighthouse.

Tangent

The tangent relation for sides in a right triangle is ...

  Tan = Opposite/Adjacent

This can be rearranged to ...

  Opposite = Tan × Adjacent

Setup

If d is the distance in feet from A to B, two expressions for the same lighthouse height can be written:

  height = tan(15°)(1032)

  height = tan(6°)(1032 +d)

Solution

Equating these values of height, we have ...

  tan(6°)(1032 +d) = tan(15°)(1032)

  d = 1032(tan(15°) -tan(6°))/tan(6°) = 1032(tan(15°)/tan(6°) -1)

  d ≈ 1598.946 . . . . feet

The distance from A to B is about 1598.9 feet.

Other Questions
What a fine weather mark inotation What is the coefficient of y2 in the expression 2x2y 10xy2 5y? What is the 2 4 hour rule? In Clinical Quality Measures Stage II, an EP must report on _________ CQMs out of a possible list of 64 approved CQMs for the EHR incentive program. Is India part of the western world? What is the principle function of the cardiovascular system? What is the mean of 1 2 3 4 5? Based on the passage, this indicates that the swamp Does it require more force to start an object sliding or to keep it sliding? how was jay's treaty controversial and supportive of early political parties, despite george washington's wishes? the treaty restored some of the british territorial claims in exchange for military protection. the treaty was in effect a violation of the alliance between the united states and france. the treaty failed to address impressment but gave preferable treatment to british imports. the treaty enforced removal of the british soldiers from the west but offered them citizenship. Which of the following statements shows a relationship that is correlated but NOT causal? A. The amount of led paint in a house and the slow brain development in children. B. The years of smoking and lung diseases. C. The amount of junk food consumed and the weight increase in children. D. Outdoor exercise and the incidence of skin cancer.? Lets find 3/4-1/6 First write the subtraction with a common denominator then subtract Blood vessels, lymph vessels, and nerves are located in the ovarian ______.medulla Research both a capitalist leaning country and a communist or socialist country (the country can currently exist or be one from history e.g. Soviet Union for Communism). Compare the quality of peoples' lives in each.Must be a full page, double spaced. - Can they choose their leaders?- What kind of economic freedom do they have? (can they start their own business etc)- What kind of services does the government offer?- What do you think is a better system and why? a company pays its employees $4,050 each friday, which amounts to $810 per day for the five-day work week that begins on monday. if the monthly accounting period ends on thursday and the employees worked through thursday, the amount of salaries earned but unpaid at the end of the accounting period is: All of the following are characteristics of cooperative federalism EXCEPT O National and state agencies typically undertake government functions jointly rather than exclusively. O Decision-making power is distributed across multiple entities and at multiple levels of government. O Multiple levels of government providing similar services can sometimes be confusing to citizens. 5 8 O The functions and responsibilities of the national and state governments are clearly separate. O The nation and states outinely share power. how can stereotypes, especially about race, gender, and class, affect our behavior, even when we are trying to disprove them? What is the main idea to Summer, Winter, Fall, Springand Night?.? Use the excerpt below to answer the question that follows. Which of the following classroom instruments would be most appropriate for third graders to use in performing this ostinato? A. guitarB. triangle C. xylophone D. autoharp Allied Pigments and Dyes, Inc. (APD) has received notification from the New Jersey Environment Protection Agency (NJEPA) that their Bound Brook manufacturing facility is in violation of waste water effluent standards. APD has been ordered to install new waste water treatment equipment, pay fines, or shut down the facility. APD's Bound Brook facility, built in 1928, produces an old product 11 line with declining sales and cash flow. Before receiving NJEPA's notice, the facility was scheduled to be 13 shut down in 5 years. Bound Brook Facility: Estimated Net Operating Cash Flows 16 Before receiving NJEPA notification.