How to identify outliers in a set of data? Explain how to and answer my question.
Minimum: 1
Q1: 5
Median: 19.45
Q3: 31.5
Max: 41.6

Answers

Answer 1

The outliers in a set of data is the maximum value 41.6.

What are mean and median?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

Given that Minimum: 1

Q1: 5

Median: 19.45

Q3: 31.5

Max: 41.6

Range = Maximum - minimum

Range =41.6 -1

= 40.6

Since Mean not including the outlier.

The outliers in a set of data is 41.6.

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Related Questions

1 out of 3 adults has worked in the restaurant industry at some point during his or her life. In an office of 81 ​workers, how many of these people would you expect to have worked in the restaurant industry at some​ point?

Answers

Answer:

Step-by-step explanation:

(1/3) x 81=27 people

What is the range of y= tan x?
OA. All real numbers
OB. z+TTT
c. -1≤ y ≤1
D. −1≤ x ≤ 1

Answers

Answer: The range of the tangent function is (-∞,∞). So the answer is A: All real numbers.

Step-by-step explanation:

The lengths of the three sides of a triangle are x + 15 , 2x + 15 and x + 12 (where x cannot equal zero). What is the perimeter of the triangle? use the drop-down menu to complete the answer.

Answers

Answer:

4x + 42

Step-by-step explanation:

[tex]\text{Perimeter}=(x+15)+(2x+15)+(x+12)=4x+42[/tex]

help please i don’t know what to do

Answers

Answer:

Add 3 and then multiply by 5.

Step-by-step explanation:

The problem looks like this to me:

[tex] \dfrac{m}{5} - 3 = 8 [/tex]

If this is correct, then the operations are:

Add 3 to both sides.

Multiply both sides by 5.

I don't see that answer. The picture is not very clear to me. What is the denominator of the fraction?

Complete the table for the given rule.
Rule:

=

+
0.6
y=x+0.6y, equals, x, plus, 0, point, 6

xx

yy
3
33
4.2
4.24, point, 2
2
22

Answers

y-coordinates for x=3, 4.2, 2 are y=3.6, 4.8 and 2.6 respectively.

What is the equation of a line?

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given equation is y=x+0.6

Find the y value for x=3, 4.2, 2

When x=3

y=3+0.6=3.6

When x=4.2

y=4.2+0.6=4.8

When x=2

y=2+0.6=2.6

Therefore, y-coordinates for x=3, 4.2, 2 are y=3.6, 4.8 and 2.6 respectively.

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Jenny can jog twice as fast as she can walk. She was able to jog the first 9.5 miles to
her grandmother's house, but then she tired and walked the remaining 2.5 miles. If the
total trip took 1.45 hours, then what was her average jogging speed?

Answers

Jenny's average jogging speed in the distance covered is; 10 miles/hr

How to solve Algebra Word problems?

Let x miles/hr be the speed that Jenny walks at

Then, 2x miles/hr is the speed that Jenny runs at

She jogs for  9.5 miles

2x miles = 1 hours

9.5 miles = a hours

a = 9.5/2x hours

She walks for 2.5 miles

x miles = 1 hour

2.5 miles = b

b = 2.5/x hours

Thus;

(9.5/2x) + (2.5)/x = 1.45

Multiply through by 2x to get;

9.5 + 5 = 2.9x

14.5/2.9 = x

x = 5 miles/hr

Jogging speed = 2 * 5 = 10 miles/hr

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Can someone help with some algebra 2 questions?

Answers

The specified radical expressions in the questions are evaluated and presented in the simplest form as follows;

(2) [tex]\sqrt[3]{x^2\cdot y^2} \cdot \sqrt[4]{x^5\cdot y^3} = \sqrt[12]{x^{23}\cdot y^{17}}[/tex]

(3) f(g(x)) = √(6·x + 1) - 5

(4) x = (15 ± √(33))/2

(5) x = 126

What is a radical expression?

A radical is a mathematical expression which contains the radical expression, '√', which represent a fractional indices of the form 1/n.

(2) The specified radical expression is presented as follows;

∛(x²·y²) × [tex]\sqrt[4]{x^5 \cdot y^3}[/tex]

Expressing the above radical expression in index form, we get;

∛(x²·y²) × [tex]\sqrt[4]{x^5 \cdot y^3}[/tex] = [tex]x^{\frac{2}{3} }\times y^{\frac{2}{3} } \times x^{\frac{5}{4} } \times y^{\frac{3}{4}}[/tex]

Adding the index of like variable terms, we get;

[tex]x^{\frac{2}{3} }\times y^{\frac{2}{3} } \times x^{\frac{5}{4} } \times y^{\frac{3}{4}} = x^{\frac{2}{3} + \frac{5}{4} } \times y^{\frac{2}{3} + \frac{3}{4} }[/tex]

(2/3) + (5/4) = (2×4 + 5×3)/12 = 23/12 = 1 11/12

Therefore; [tex]x^{\frac{2}{3} + \frac{5}{4} } = x^{\frac{23}{12} }[/tex]

2/3 + 3/4 = (2 × 4 + 3 × 3)/(12) = 17/12 = 1 5/12

Therefore; [tex]y^{\frac{2}{3} + \frac{3}{4} } = y^{\frac{17}{12} }[/tex]

Which indicates that we get; [tex]x^{\frac{2}{3} + \frac{5}{4} } \times y^{\frac{2}{3} + \frac{3}{4} } = x^{\frac{23}{12} } \times y^{\frac{17}{12} }[/tex]

Therefore; ∛(x²·y²) × [tex]\sqrt[4]{x^5 \cdot y^3}[/tex] = [tex]x^{\frac{23}{12} } \times y^{\frac{17}{12} }[/tex]

In radical form, we get; [tex]x^{\frac{23}{12} } \times y^{\frac{17}{12} } = \sqrt[12]{x^{23} \cdot y^{17}}[/tex]

(3) The functions, f(x) = √(3·x + 4) - 5, g(x) = (2·x - 1)

The composite function, f(g(x)) can be found as follows;

f(g(x)) = √(3·g(x) + 4) - 5 = √(3·(2·x - 1) + 4) - 5

f(g(x)) = √(3·(2·x - 1) + 4) - 5 = √((6·x - 3) + 4) - 5 = √(6·x + 1) - 5

The composite function, f(g(x)) is therefore; f(g(x)) = √(6·x + 1) - 5

(4) (√(x - 1)) = x - 7

Squaring both sides, we get;

(√(x - 1))² = (x - 7)²

(√(x - 1))² = x - 1(x - 7)² = x² - 14·x + 49

Therefore;

(√(x - 1))² = x - 1 = (x - 7)² = x² - 14·x + 49

x - 1 = x² - 14·x + 49

x² - 14·x + 49 - (x - 1) = 0

x² - 15·x + 48 = 0

The quadratic formula can be used to solve the above equation to get;

x = (-(-15) ± √((-15)² - 4×1×48))/(2 × 1) = (15 ± √(33))/2

x = (15 ± √(33))/2

(5) 2·∛(x - 1) + 6 = 16

2·∛(x - 1) + 6 = 16

Subtracting 6 from both sides, we get;

2·∛(x - 1) + 6 - 6 = 16 - 6 = 10

2·∛(x - 1) = 10

∛(x - 1) = 10/2 = 5

∛(x - 1) = 5

∛(x - 1)^3 = 5^3

∛(x - 1)^3 = x - 1

5^3 = 125

∛(x - 1)^3 = x - 1 = 125

x = 125 + 1 = 126

x = 126

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Whats the correct answer answer asap for brainlist

Answers

A quotation isolated from the rest of the writing - sometimes called "quote vomit" type of quote is Sample #2.

The option (a) is correct.

What is quote?

Famous people who discuss their opinions on a given subject often employ quotation marks around their words. The brief nature of a quotation allows it to share individuality. The citation served as a means of sharing ideas and serving as a source of historical information.

The quotation, which is sometimes referred to as "quote vomit," was cut off from the remainder of the text.

The sentences are directed at their objective. Understanding how the universe functions and how we fit into it can be done through the metaphor of weaving.

As a result, the quote isolated from the rest of the writing - sometimes called "quote vomit" type of quote is Sample #2. Therefore, option (a) is correct.

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13) A theater has 38 rows of seats. The first row has 25 seats, the second
row has 29 seats, the third row has 33 seats, and so on.
What is the total number of seats in the theater?
O3,762
O3,838
O 7,524
O 7,676

Answers

Answer:

Step-by-step explanation:

To find the total number of seats in the theater, we can use the formula for the sum of an arithmetic series, which is given by:

S = n/2 * (a_1 + a_n)

where n is the number of terms in the series, a_1 is the first term, and a_n is the last term.

In this case, the first term is 25 seats and the last term is 25 + (38-1) * 4 seats (since the number of seats in each row increases by 4 each time). So, we have:

n = 38 (the number of rows)

a_1 = 25

a_n = 25 + (38-1) * 4 = 25 + 37 * 4 = 25 + 148 = 173

Now, we can substitute these values into the formula:

S = n/2 * (a_1 + a_n) = 38/2 * (25 + 173) = 19 * 198 = 3,762

So, the total number of seats in the theater is 3,762, which corresponds to option O3,762.

On a weekly basis Tino sets aside ½
of his weekly salary for rent, ½ for
credit card payments, ¼ for groceries
and utilities, and the rest,
approximately $15 for entertainment.
Give an approximation of Tino's
weekly salary.

Answers

After all the spending costs, Tino's weekly salary is approximately $60.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.

Let's call Tino's weekly salary "x".

Each week, Tino sets aside half of his salary for rent, so:

0.5x = rent

He also sets aside half of his salary for credit card payments, so

0.5x = credit card payments

And he sets aside a quarter of his salary for groceries and utilities, so:

0.25x = groceries and utilities

And he has approximately $15 left for entertainment, so:

x - 0.5x - 0.5x - 0.25x = 15

We can simplify this equation by combining the terms on the left side:

x - 1.25x = 15

And then solving for x:

-0.25x = 15

x = 60

Therefore, Tino's weekly salary is approximately $60.

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the division or the multiplication property of equality to solve 1,145 = y
-——
224

Answers

Answer:

26.it is all about thinking

Help, Solve the system of linear equations by Elmination.

Answers

a. Yes, The answer is correct.

b. When we subtract the second equation from the first, the next step would be 3x = 9.

What is a system of linear equations?

The collection of two or more linear equations involving the same variables is known as a system of linear equations. In this case, linear equations are first-order equations, where the maximum power of the variable is 1.

Part a:

Given that, a customer purchases 8 bags of cat food and 2 bags of dog food, then the total weight of the purchase is 44 pounds.

Another customer purchases 5 bags of cat food and 2 bags of dog food, then the total weight of the purchase is 35 pounds.

let the weight of the cat food be 'x' and the dog food is 'y'.

For the first customer,

Total weight will be = 8x + 2y = 44 .....eq 1

For the second customer,

Total weight will be = 5x + 2y = 35 .....eq 2

Which are the two equations given above,

So, The equations are correct.

Part b:

Eliminate y terms from the equations.

Subtract eq 2 from eq 1:

 8x + 2y = 44

-(5x + 2y = 35)

______

 3x + 0  = 9

3x = 9, which contradicts the above-given step '13x = 79'

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Find the sum of the numbers. Express your answer in scientific notation.

(6.94 times 10 Superscript negative 7 Baseline) + (2.7 times 10 Superscript negative 8)

Answers

7.21 × 10⁻⁷

Step-by-step explanation:

(6.94 × 10⁻⁷) + (2.7 × 10⁻⁸) = 7.21 × 10⁻⁷

On the following composite figure, the longer edge length is 14 millimeters. The shorter edge length is 8 millimeters. The width of the figure, at its longest point, is 11.3 millimeters. Find the area of the figure. Explain or show how you got your answer. Note: Lines that look parallel are parallel, and angles that look like right angles are right angles.

Answers

The area of the given composite figure with a side length of 14mm and an edge length of 8mm is 158.2 mm².

What is a composite figure?

A two-dimensional figure built up of fundamental two-dimensional shapes like triangles, rectangles, circles, semicircles, etc. is known as a composite shape or composite figure. A variety of forms that we encounter every day are composite figures that can be created from two or more fundamental figures.

The figure is given below.

From the figure, we can see that the sides of a triangle at the top and bottom are the same.

So the triangle cut from the bottom is placed at the top of the figure.

When the cut triangle is placed back at the bottom, we get a rectangle of length 14 mm and breadth 11.3 mm, as given below.

So the area of the given composite figure is the same as the area of the rectangle.

The area of the rectangle = length * breadth = 14 * 11.3 = 158.2 mm²

Therefore the area of the given composite figure is 158.2 mm².

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content attribution
QUESTION 5. 1 POINT
1
A company offers one free book download to anyone that registers. The total number of people that register can be
modeled by the function f(x) = 8x³ +70x² +145x+182, where x is the number of months passed since starting the
company. The number of free books available to choose from can be modeled as 2x + 13. Write an expression that can be
used to determine the average number of people that download each of the free books.
Ous
Provide your answer below:

Answers

The expression for the average number of people (8x³ +70x² +145x+182)/(2x + 13)

How to determine the expression to determine the average number of people

From the question, we have the following parameters that can be used in our computation:

The total number of people, f(x) = 8x³ +70x² +145x+182

Number of free books = 2x + 13

To determine the average number of people that download each of the free books,

We need to divide the total number of people that register by the number of free books available.

So, we have

Expression = (8x³ +70x² +145x+182)/(2x + 13)

Hence, the expression is (8x³ +70x² +145x+182)/(2x + 13)

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CAN SOMEONE HELP WITH THESE QUESTIONS?✨

Answers

The numeric value of the marginal revenue at 33 units will be $336.

How to calculate the marginal revenue

The sum of the units sold times the price per unit is the revenue. Multiply the output level by the pricing function to get the revenue function.

Revenue function is R(q) = - 8q ^ 2 + 600q

Differentiate with respect to q

R^ prime (q) = - 8(2q) + 600(1)

R' (q)=-16q+600 ...(1)

substitute q = 33 in equation

MR(113) = - 8(33) + 600

=-264 + 600

MR (113)= $336 per unit

The marginal revenue is $336.

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Ten times the sum of a number and eight is -10. What is the number?

Answers

Answer:

Step-by-step explanation:

Answer:

The number is -10.4

Explanation:

Assume that the number we are looking for is x.

Now, we want to get 10 times te sum of half the number and 6 and equate this expression to 8. Then we can solve for x

Let's take this step by step:

half the number is 0.5x

the sum of half the number and 6 is 0.5x + 6

10 times the sum of half the number and 6 is 10(0.5x +6)

10 times the sum of half the number and 6 equals 8 is 10(0.5x+6) = 8

Now we can solve for x as follows:

10(0.5x + 6) = 8

5x + 60 = 8

5x = 8 - 60

5x = -52

x = -52/5

x = -10.4

Hope this helps :)

Please help me with this question

Answers

Answer:

= 7022cm

Step-by-step explanation:

The Perimeter of a rectangle =

[tex] = 2(l) + 2(w)[/tex]

From the question

L= 15.47m

w= 19.64m

therefore perimeter of a rectangle

=

[tex] = 2(15.47) + 2(19.64) \\ = 30.94 + 39.28 \\ = 70.22 m[/tex]

Also since rectangle are in centimetres

than if. 1 m = 100cm

than 70.22m = ?

therefore 70.22/1 = 100cm

=7022cm

therefore the Perimeter of a rectangle = 7022

Please help fast!! What is the domain of the relation?

A: (-5,0,3,4)
B: (-4,-1,0,1,3)
C: (-5,-2,0,1,4)
D: (-5,-4,-2,-1,0,1,3,4)

Look at the picture below

Answers

The correct option is A {-5, 0, 3, 4}.

What do you mean by Domain?

In mathematics, the domain of a function is the set of all possible input values (independent variable) for which the function is defined. In other words, the domain is the set of values that we can substitute for the independent variable in a function to produce a meaningful output.

For example, consider the function f(x) = 2x. Here, we can substitute any real number for x and get a meaningful output. Therefore, the domain of this function is all real numbers, or (-∞, ∞). However, if we consider the function g(x) = 1/x, we can see that we cannot substitute 0 for x because division by 0 is undefined. Therefore, the domain of this function is all real numbers except 0, or (-∞, 0) U (0, ∞).

The domain of a relation is the set of all possible values for the independent variable (x) for which there exists a corresponding value of the dependent variable (y). In this case, the given coordinates are (1,3), (4,1), and (-5,-4).

The domain of the relation would be the set of x-values that correspond to the given coordinates. So, the domain of this relation is {-5, 1, 4}.

Therefore, the correct answer is A: {-5, 0, 3, 4}.

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A well of diameter 5 m is dug 24 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 3 m to form an embankment. Find the height of the embankment.

Answers

Answer: To find the height of the embankment, we need to first find the volume of the well and then the volume of the embankment.

Volume of the well = πr^2h = π * (d/2)^2 * h = π * (5/2)^2 * 24 = 157.08 cubic meters

Volume of the embankment = π * (R^2 - r^2) * h, where R is the outer radius of the embankment and r is the inner radius.

Outer radius of the embankment = (5 + 3)/2 = 4 m

Inner radius of the embankment = (5 - 3)/2 = 1 m

Volume of the embankment = π * (4^2 - 1^2) * h = π * 15 * h

We know that the volume of the well is equal to the volume of the embankment, so we can write:

157.08 = π * 15 * h

Solving for h, we get:

h = 157.08 / (π * 15) = 157.08 / 47.12 ≈ 3.32 m

So, the height of the embankment is approximately 3.32 meters.

Step-by-step explanation:

Analyze the relationship in this table, and look for a pattern that relates x and f(x)
Part A
Identify the function type that could represent the data in the table. Explain your reasoning.
Type your response in the box.

Answers

A quadratic function could represent the data in the table, as the increase rate decreases as x increases, meaning that the function could be approaching it's vertex.

How to classify the function?

Traditionally, functions are classified as either linear or exponential, as follows:

Linear: constant increase.Exponent: multiplicative increase.

As there is not a constant neither a multiplicative rate of change for the table, the function is neither linear nor exponential.

Considering that from x = 1 to x = 4 the rate of change is of 4/3, while from x = 16 to x = 25 the rate of change is of 4/9, that is, the increase rate decreases as x increases, the function is classified as a quadratic function.

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Unions, intersections, and complements involving 2 sets

Answers

Part A:

[tex]B\cap D[/tex] is asking for what the sets B and D have in common:

   [tex]B\cap D = \{4\}[/tex]

since B and D only have 4 in common.

Now [tex](B \cap D)'[/tex] is asking for all of the things in the universal set [tex]U[/tex] that are not in [tex]B\cap D[/tex].  That's what the little tick mark on the right side means.

   [tex](B \cap D)' = \{2, 3, 6, 7\}[/tex]

Part B:

[tex]B' = \{2, 3, 7\}[/tex] since those are the things not in B.

[tex]D=\{3, 4\}[/tex]

[tex]B'\cup D[/tex] is asking for all the things in either [tex]B'[/tex] or [tex]D[/tex].

    [tex]B'\cup D = \{2, 3, 4, 7\}[/tex]

(We don't need to list 3 twice, even though it was in both sets. )

inverse function of f(x)= \frac{5}{x} +4

Answers

The inverse of the function is f⁻¹ ( x ) = 5 / ( x - 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

f ( x ) = ( 5/x ) + 4   be equation (1)

On simplifying the equation , we get

y = ( 5/x ) + 4

Now , replacing x with y , we get

x = ( 5/y ) + 4

On solving for y , we get

5/y = x - 4

y = ( 5 / x - 4 )

Now , the inverse of the function is f⁻¹ ( x ) = 5 / ( x - 4 )

Hence , the equation is f⁻¹ ( x ) = 5 / ( x - 4 )

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triangle ABC has side lengths 42, 21, and 35 units. The shortest side of a triangle similar to
triangle ABC is 9 units long. Find the other lengths of the triangle.

Answers

Answer:

Step-by-step explanation:

Using the ratio of corresponding side lengths, we have:

x/42 = 9/35

y/21 = 9/35

z/35 = 9/35

Solving for x, y, and z:

x = (9/35) * 42 = 14

y = (9/35) * 21 = 7

z = 9

So the other two sides of the smaller triangle are 14 and 7 units.

since the triangles are similar, you have to find the ratio between them and multiply the other sides by that ratio. 9/21=3/7, 3/7x42 = 18, 3/7x35 = 15

the other lengths are 18 and 15

I want the answer pleaseee

Answers

Answer:

8.6 m

Step-by-step explanation:

DE = 2 7/10 m

     = 2 + 7/10

     = 2 + 0.7

DE = 2.7 m

EF = 5 9/10 m

    = 5 + 9/10

    = 5 + 0.9

EF = 5.9 m

DF = DE + EF

     = 2.7 + 5.9

     = 8.6 m

A population mean is normally distributed with a mean of 56 and a standard deviation of 12.

Answers

The mean of the sampling distribution (p) and The standard error of the mean (o)  are 56 and 2 respectively.

What is normal distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

According to question:

(a) The mean of the sampling distribution (p) is equal to the population mean, which is 56.

(b) The standard error of the mean (o) is calculated as the standard deviation of the population divided by the square root of the sample size. So for a sample of 36 participants:

o = 12 / √36 = 2

(c) The distribution of the sample means (p) will be approximately normal with a mean of 56 and a standard deviation of 2. To sketch this distribution with M ± 3 SEM, we would plot a normal distribution with mean 56 and standard deviation 2, and shade the region that is 3 standard errors away from the mean on either side.

This region would capture approximately 99.7% of the data if the samples were selected randomly and independently from the population.

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If 4x + 12 = 76, then x =

Answers

Answer:

x = 16

Step-by-step explanation:

subtract 12 from both sides to isolate the variable and its coefficient

4x = 64

divide both sides by 4 to get x

x = 16

Answer:

x = 16

Step-by-step explanation:

4x+12=76

Step 1: Subtract 12 from both sides.

4x + 12 - 12 = 76 - 12

4x = 64

Step 2: Divide both sides by 4.

[tex]\frac{4x}{4} = \frac{64}{4}[/tex]

x = 16

If the market price is below the equilibrium price, which of the following will occur?

Answers

Answer:

Shortage

Step-by-step explanation:

If the market price of a product is set below the equilibrium price, it will create a shortage of the product because the demand exceeds the supply.

If the market price is below the equilibrium price, quantity supplied is less than quantity demanded, creating a shortage.

A boat heading out to sea starts out at Point A, at a horizontal distance of 1196 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 13°. At some later time, the crew measures the angle of elevation from point B to be 3 ° . Find the distance from point A to point B. Round your answer to the nearest foot if necessary.

Answers

The distance from point A to point B measures is 1,269.9 feet.

What are the six trigonometric ratios?

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

Given;

The horizontal distance= 1196ft

Angle of elevation to the lighthouse’s=13°

Angle of elevation from point B =3 °

Now,

Distance from A to B = D;

D = Horizontal distance from B to LH - Horizontal distance from A to LH

Distance from A to B = 2237.9 feet - 968 feet ≈ 1269.9 feet;

Therefore, by the trigonometric ratios the distance from point A to point B, D will be 1,269.9feet;

Learn more about trigonometric ratios here:

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How do I solve for side a and b and angle B when when side c equals 968m, angle a is 33 degrees abs 25 minutes and angle c is 90 degrees

Answers

Answer:

Step-by-step explanation:

Calculated based on 2 given angles and 1 given side.

∠B = 180° - A - C = 0.99484 rad = 57°

∠B = 57°

a = c·sin(A)/sin(C) = 527.21059

b = c·sin(B)/sin(C) = 811.83311

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