Answer the following. (a) Find an angle between 0° and 360° that is coterminal with 480°. 5π (b) Find an angle between 0 and 2π that is coterminal with 6 Give exact values for your answers. 0 (a)

Ben's final cost after the 15% discount will be $40.375

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

Discount = 15%

Total purchase = $47.50

Using the above as a guide, we have the following:

Final cost = Total purchase * (1 -Discount)

Substitute the known values in the above equation, so, we have the following representation

Final cost = 47.50 * (1 -15%)

Evaluate

Final cost = 40.375

Hence, the final cost is $40.375

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Answer:

\( \frac{9.10}{5} = 1.82\)

Answer:

4 2/3hrs not fraction 3hrs

Step-by-step explanation:

10hrs=1person

x=2people

cross multiple

(a) 10×2÷1=20

step 2 6hrs when together

you ÷ by 2=3hrs

son works for 3hrs

step 3 ) 20-6=14

14/3 ÷ and get 4 2/3

Answer: y - 5 = -(x - 1)/2

Step-by-step explanation:

To show that the consistency for Runge-Kutta (RK) methods is equivalent to the condition Σbi = 1, where bi is the weight associated with the ith stage, we need to understand the concept of consistency and stage-consistency conditions. Answer : the condition Σbi = 1 is necessary for the consistency of RK methods.

Consistency of a numerical method refers to the property that the method converges to the exact solution of a differential equation as the step size approaches zero. In the case of RK methods, the consistency is related to the consistency of the internal stages.

In an RK method with s stages, the stages are computed using intermediate values and weights. The general form of an s-stage RK method can be written as:

yn+1 = yn + h * Σbi * ki,

where yn is the numerical approximation at time tn, h is the step size, ki represents the increments calculated at each stage, and bi represents the weights associated with each stage.

To prove the equivalence between consistency and the condition Σbi = 1, we need to examine the truncation error of the RK method.

The truncation error of an RK method is the error introduced in each step of the method due to the approximation of the derivative. For a method to be consistent, the truncation error should tend to zero as the step size h approaches zero.

The truncation error for the RK method is given by:

ε = y(tn+1) - (yn + h * Σbi * ki),

where y(tn+1) is the exact solution at time tn+1.

To analyze the truncation error, we substitute the exact solution y(tn+1) with the Taylor expansion:

y(tn+1) = yn + h * y'(tn) + (h^2/2) * y''(tn) + ...

Substituting this expansion into the truncation error equation, we get:

ε = yn + h * y'(tn) + (h^2/2) * y''(tn) + ... - (yn + h * Σbi * ki)

  = h * y'(tn) + (h^2/2) * y''(tn) + ... - h * Σbi * ki

For consistency, we require the truncation error to approach zero as h approaches zero. This means that the terms of higher order than h should vanish. In other words, we want the terms (h^2/2) * y''(tn), (h^3/3) * y'''(tn), ... to be negligible.

To ensure that the terms of higher order vanish, we need the condition that the sum of the weights Σbi equals 1. This condition ensures that the terms involving the increments ki are appropriately weighted to cancel out the higher-order terms in the truncation error.

By setting Σbi = 1, we can simplify the truncation error equation:

ε = h * y'(tn) + (h^2/2) * y''(tn) + ... - h * Σbi * ki

  = h * (y'(tn) - Σbi * ki)

Since the weights Σbi sum to 1, the term (y'(tn) - Σbi * ki) becomes the difference between the exact derivative and the weighted sum of the approximate derivatives. As h approaches zero, this term tends to zero, satisfying the consistency condition.

Therefore, the condition Σbi = 1 is necessary for the consistency of RK methods.

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Answer:

y = \(\frac{2}{3}\) x

Step-by-step explanation:

the equation of a line in slope- intersect form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = \(\frac{2}{3}\) , then

y = \(\frac{2}{3}\) x + c ← is the partial equation

to find c substitute (6, 4 ) into the partial equation

4 = \(\frac{2}{3}\) (6) + c = 4 + c ( subtract 4 from both sides )

0 = c

y = \(\frac{2}{3}\) x ← equation of line

The equation is:

\(\large\boxed{\quad\tt{y=\dfrac{2}{3}x}\quad}\)

Work/explanation:

Let's write the equation in slope intercept form.

Slope intercept is \(\tt{y=mx+b}\), where m = slope and b = y intercept.

Now let's set up our slope intercept equation, knowing that the slope is 2/3.

\(\tt{y=\dfrac{2}{3}x+b}\)

Now, what about b? Well, to find b, I take the point that the line goes through, which is (6,4), and plug that directly into our equation, which, at this stage, is \(\tt{y=\dfrac{2}{3}x+b}\). Note that plugging in the appropriate co-ordinate is important; I plug in 6 for x, and 4 for y.

\(\tt{y=\dfrac{2}{3}x+b}\)

\(\tt{4=\dfrac{2}{3}(6)+b}\)

\(\tt{4=4+b}\)

\(\tt{4-4=b}\)

\(\tt{0=b}\)

Step-by-step explanation:

there Are 120 possibilities for the top three positions

We will see that there are 120 different possibilities for the top 3 positions.

Here we need to count the number of options for each of the positions.

The total number of different combinations is given by the product between the numbers of options, we will get:

C = 6*5*4 = 120

There are 120 different possibilities for the 3 positions.

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Answer:

7g + 3n - 2

Step-by-step explanation:

when you subtract you 'add the opposite'; subtracting a negative is the same as adding a positive

for example, using the above statement we can rewrite the problem as:

7g - 6 + 3n + 4

we can combine -6 and 4 to get -2

7g + 3n - 2 or 7g + 3n + (-2)

Answer:

We all watched NASA's space shuttle videos where the announcer names the countdown "T-5 hours". That means that there are 5 hours till the liftoff. Why not input your own data and see how many hours left till your final countdown? Use this time calculator for making fast and effective hours from now calculator.

Step-by-step explanation:

The normal curve with a mean of 0 and standard deviation of 1 is called (D)  the z-value.

Therefore, the normal curve with a mean of 0 and standard deviation of 1 is called (D)  the z-value.

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Answer:

12

-7

2

-3

-8

Step-by-step explanation:

type the function into desmos graphing calculator

Answer:

3x

Step-by-step explanation:

What do u mean do you have to put the x with something?

Given:

2. (2, 4), slope 2

we will write the equation of the line that passes through the point (2, 4) and has slope = 2

We will write the equation of the line using the point-slope form which is:

where (m) is the slope and the point (h, k)

so,

m = 2

h = 2

k = 4

So, the equation will be:

so, the answer will be the equation of the line is:

Answer:

108 and 150

Step-by-step explanation:

108/3=36

150/3=50

Answer:

A. The quantities that change in this problem situation are the number of books Ben orders and the total cost. The quantities that remain constant are the cost per book ($12) and the shipping and handling charge per order ($5).

The independent variable is the number of books Ben orders, as this is the variable that Ben has control over and chooses to change. The dependent variable is the total cost, as it depends on the number of books Ben orders.

B.
(imagine this as a chart)

Number of books                                                                            Total cost

1                                                                                                               $17

2                                                                                                              $29

3                                                                                                               $41

5                                                                                                              $65

10                                                                                                             $125

----------------------------------------------------------------------------------------------------------

To create this table, we used the formula:

Total cost = (Cost per book x Number of books) + Shipping and handling charge

For example, when Ben orders 3 books, the total cost is:

Total cost = ($12 x 3) + $5 = $41

Similarly, when Ben spends $65, the number of books he can order is:

Number of books = (Total cost - Shipping and handling charge) / Cost per book

Number of books = ($65 - $5) / $12 = 5

And so on for the other values in the table.

Answer:

See below

Step-by-step explanation:

Let x be he cost per book and y be the total cost including shipping and handling.

The relevant equation is

y = 12x + 5

A. Variables are number of books ordered(x) and total cost(y)
The constant is the shipping and handling cost

Since the total cost depends on the number of books ordered, the independent variable x = number of books

The total cost y is the dependent variable

--------------------------------------------------------------------------------------

B. Cost of 1 or 2 books can be found by plugging in x = 1 and x =2 into the equations and solving for y
Total Cost of 1 book = 12(1) + 5 = $17
Total cost of 2 books = 12(2) + 5 = 24 + 5 = $29

To compute the number of books that can be ordered for different total cost amounts is obtained by substituting for y and solving for x

For $41:
41 = 12x + 5
41 - 5 = 12x

36 = 12z

x = 36/12 = 3 books

For $65:
65 = 12x + 5
65 - 5 = 12x
60 = 12x
x = 60/12 = 5 books

For $125:

125 = 12x + 5
125 - 5 = 12x
120 = 12x
x = 120/12 = 10 books

Here is the table

Number                            Total Cost(y)
of books (x)                    

          1                                  $17

          2                                 $29

          3                                  $41

          5                                  $65

          10                                 $125

Therefore, the scale of the map is 1 inch represents 60 miles.

A graph is a visual representation of data that is used to show relationships between different variables or to display information in a clear and concise way. Graphs can be used to show patterns, trends, and relationships between different sets of data. Common types of graphs include bar graphs, line graphs, scatter plots, pie charts, and histograms. Graphs are widely used in many fields, including science, business, and social sciences, to help understand and communicate complex information. They are an important tool for presenting data in a way that is easy to understand and interpret.

Here,

To find the scale of the map, we need to use the ratio of the distance on the map to the corresponding actual distance. We can set up the following proportion:

distance on map / actual distance = scale factor

Let x be the scale factor, then we can write:

4 inches / 240 miles = x

To solve for x, we can cross-multiply:

4 inches * 1 = 240 miles * x

x = 4/240 = 1/60

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Answer:

4y^2 - 9x^2 = -36

Step-by-step explanation:

x = 2 sec t

y = 3 tan t

x^2 = 4 sec^2 t

y^2 = 9 tan^2 t

Now sec^2t = 1 + tan^2 t so we have:

4(1 + tan^2 t) + 9 tan^2 t = x^2 + y^2

4 + 13 tan^2 t = x^2 + y^2

13 tan^2 t = x^2 + y^2/ - 4

tan^2 t = x^2/13 + y^2/13 - 4/13

But , from the second equation tan t =  y/3 so tan^2 t = y^2/9, so:

y^2/9 =  x^2/13 + y^2/13 - 4/13

LCM of 9 and 13 is 117 so multiply thru by 117:

13y^2 = 9y^2 + 9x^2- 36

4y^2 - 9x^2 = -36

The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A polygon is a fully closed, two-dimensional (2D), flat form with straight sides (all the sides are joined up). They must have straight sides. Any number of sides can be found in polygons.

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The two positive numbers are 6 and 11

From the question, we understand that:

There are two positive numbers

Represent these numbers with x and y

So, we have the following equations

x = y - 5

6x - 3y = 3

Substitute x = y - 5 in 6x - 3y = 3

6(y - 5) - 3y = 3

Open the brackets

6y - 30 - 3y = 3

Evaluate the like terms

3y = 33

Divide by 3

y = 11

Substitute y = 11 in x = y - 5

x = 11 - 5

So, we have

x = 6

hence, the numbers are 6 and 11

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Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

The Radical Form (√x)  ,the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

The equation √x - 2 + 4 = x for x, we can follow these steps:

1. Begin by isolating the radical term (√x) on one side of the equation. Move the constant term (-2) and the linear term (+4) to the other side of the equation:

  √x = x - 4 + 2

2. Simplify the expression on the right side of the equation:

  √x = x - 2

3. Square both sides of the equation to eliminate the square root:

  (√x)^2 = (x - 2)^2

4. Simplify the equation further:

  x = (x - 2)^2

5. Expand the right side of the equation using the square of a binomial:

  x = (x - 2)(x - 2)

  x = x^2 - 2x - 2x + 4

  x = x^2 - 4x + 4

6. Move all terms to one side of the equation to set it equal to zero:

  x^2 - 4x + 4 - x = 0

  x^2 - 5x + 4 = 0

7. Factor the quadratic equation:

  (x - 1)(x - 4) = 0

8. Apply the zero product property and set each factor equal to zero:

  x - 1 = 0   or   x - 4 = 0

9. Solve for x in each equation:

  x = 1   or   x = 4

Therefore, the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

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Answer:

The answer is y = 5x - 2

Step-by-step explanation:

Distribute 5 through the parentheses:

y - 3 = 5x - 5

Move the constant to the right-hand side and change its sign:

y = 5x - 5 + 3

Calculate the sum:

y = 5x - 2

Answer:

Answer key

Step-by-step explanation:

https://www.lcps.org/cms/lib/VA01000195/Centricity/Domain/12543/trig%207.1%207.2%207.3%20day%20key.pdf

Answer

put 1 on top and exo on bottom

Step-by-step explanation:

Answer:

5 steps back or fourth, 5 steps fourth or back

Answer:

ay manuck im in 7th grade it sucks but you can get a OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

Utilizando trigonometría, veremos que la altura del arbol es 6m.

Podemos visualizar la situación como un triangulo rectangulo.

La altura del arbol será el cateto opuesto al angulo de 36.87°.

La distancia a la base del tronco, que es 8 metros, será el cateto adjacente a dicho angulo.

Entonces, podemos usar la relacion:

tan(θ) = (cateto opuesto)/(cateto adjacente).

Reemplazando lo que conocemos, y definiendo:

altura = cateto opuesto = H.

tendremos:

tan(36.87°) = H/8m

Resolviendo para H:

H = tan(36.87°)*8m = 6m

Así, concluimos que la altura del arbol es 6m.

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Answer:

10.68

Step-by-step explanation:

3.1+1.35=4.45 4.45×2.4=10.68

The circled section represents the outliers in the data.

In the context of the given information, the circled section represents data points that deviate significantly from the majority of the data. Outliers are observations that lie far away from the central tendency of the dataset, and they can have a notable impact on statistical analysis.

In this case, the child who solved the Rubik's Cube in 21.7 seconds is an outlier as their time is significantly lower than the other children. Similarly, the child who took 72 seconds to solve the cube is also an outlier, as their time is much higher than the majority of the children who completed it in around 7 seconds. Outliers can provide valuable insights into the distribution and behavior of the data, and they are often examined separately due to their unique characteristics.

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