A horizontal curve is being designed around a pond with a tangent length of 1200 ft and a central angle of 29.86 degrees. If the PI is at station 105 00, determine the station of PT

The length x of JK is 3.6 units

Here, quadrilaterals ABCD and JKLM are similar.

We know that the corresponding sides of similar triangles are in proportion.

So, by definition of similar triangles,

AB/JK = BC/KL = CD/LM = AD/JM

To find:  the length x of JK

So, consider an equation

AB/JK = AD/JM

Substitute the length of each side in above equation.

4/x = 2/1.8

(4 × 1.8)/x = 2

(4 × 1.8)/2 = x

x = 2 × 1.8

x = 3.6

Therefore, the length of JK = 3.6 units

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[tex]10\frac{1}{12}[/tex]  is the distance between  [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

We need to find the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]

The given fractions are mixed fractions we have to convert them to improper fractions

[tex]-6\frac{1}{3}[/tex] =-17/3

[tex]4\frac{5}{12}[/tex] =53/12

Now we have to find the difference

53/12-(-17/3)

53/12+17/3

53+68/12

121/12

[tex]10\frac{1}{12}[/tex]

Hence, [tex]10\frac{1}{12}[/tex]  is the distance between  [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]

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After dilation, the co-ordinate of point A will be (-4,4) while B will be (2,4) and of C will be (-2,0).

The distance between the point of dilation and the point you are dilating must be multiplied by three if the point you are dilating is directly above the point of dilation and you are dilating by 3. You inserted your new point there.

The x-value of each point will be multiplied by 2 to enlarge the image by a factor of two. The x and y values of each point will be multiplied by 2 to enlarge the figure by a factor of 2.

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The brand-name television's measurements are 32 inches by 64 inches, so answer (C) is accurate.

Given: The generic version was created based on the brand name and was three eighths the size of the brand name.

12 inches by 24 inches is the size of the standard television set.

Allowing for x by y as the brand name's measurements

12 inches divided by three eighths

8/3 x = 12

x = 12 * 8 / 3 = 32 inch

and y=3/8 inches equals 24 inches

8/3 y = 24

y = 24 * 8 / 3 = 64 inch

As a result, the brand-name television has the following measurements: 32 by 64 inches.

Therefore, choice (C) is the appropriate response.

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The complete question is: Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was  the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?

a) 7.5 inches by 15 inches

b) 28 inches by 56 inches

c) 32 inches by 64 inches

d) 4.5 inches by 9 inches

Yes, you can make a triangle with three different length sides.

1. Draw three lines of different lengths on a piece of paper.

2. Connect the ends of the lines to form a triangle.

3. The triangle will have three different length sides. The lengths of the sides depend on the lengths of the three lines you drew.

4. To make sure the triangle is valid, use the triangle inequality theorem. This theorem states that the sum of any two sides of a triangle must be greater than the third side.

5. Measure each side of the triangle with a ruler and add them together.

6. Compare the sum of the two sides to the third side. If they are not equal or greater, adjust the lines to create a valid triangle.

7. Once the triangle is valid, it will be a triangle with three different length sides.

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Answer: 5.474 m

Step-by-step explanation:

first jump = 4.25

best jump = first jump * 1.12

winning jump = best jump *1.15

The domain of the function y = √ x is x ≥ 0.

The domain of a function is the set of all input values for which the function is defined. The square root function, represented by √, is only defined for non-negative real numbers. This is because the square root of any negative number is not a real number, it becomes an imaginary number. Therefore, the domain of √ x is the set of all real numbers greater than or equal to zero.

This means that any input value less than zero would result in an undefined output for the square root function. In this case, since the square root is the only function, the domain of the function y = √ x is x ≥ 0. This means that the function can only take non-negative real numbers as input and will output a non-negative number.

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Answer:

2.24$

Step-by-step explanation:

Answer:

483000

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

Answer:

48300000

We can write the above number as

4.83 x 10000000

=4.83 x 10 ^7

Developer has 627264 square feet land available.

The minimum permissible quantity of an asset that is accepted for purchasing.

How many lots the developer has as per question?

A developer wants to develop 18-acre property = 784080 square feet area

he notices that street and common area will take up about 20% of total area.

hence, the remaining area for developing works = 80%

the amount of land rest for the developer = 784080 ×80 /100

                                                                    = 627264 square feet.

there is a rule that minimum lot size is to be 10000 square feet for developing works,

the above amount 627264 square feet lot can the developer have on this property that is higher than the minimum lot value.

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The correct option is D. 1 − 0. 125 is NOT  the correct way to find the value of fraction 5/8.

Consider the given options;

A. 5÷8

5÷8 = 5/8 (correct)

B. 5⋅0. 125

5*0.125 = 0.625

5*0.125 = 5/8 (correct)

C. 0. 5+0. 125

5+0. 125 = 0.625

5+0. 125 = 5/8 (correct)

D. 1−0. 125

1−0. 125 = 0.785

1−0. 125 = 7/8 (not correct)

Thus, option D is not the correct way to solve the equation.

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The correct question is attached.

TLDs are the most common type of domain name and are typically three or more characters after the final dot in a domain name. ccTLDs are two-letter domains that represent a specific country or region.

Domain names are used to identify websites on the internet. There are two main types of domain names: top-level domains (TLDs) and country code top-level domains (ccTLDs).

TLDs are the most common type of domain name and are typically three or more characters after the final dot in a domain name. Examples of TLDs include .com, .org, .net, .edu, and .gov.ccTLDs are two-letter domains that represent a specific country or region. Examples of ccTLDs include .us for the United States, .au for Australia, .ca for Canada, .uk for the United Kingdom, and .fr for France.

When registering a domain name, users should choose a TLD or ccTLD that best suits their needs. For example, if they are targeting a global audience, they should consider a .com TLD. If they wish to target a specific country, they should consider a ccTLD.

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The best option regarding the solutions of the trigonometric equation 2sin(θ) + 1 = 0 in this problem is given as follows:

d. θ = 330º + 360ºn, θ = 210 + 360ºn.

The trigonometric equation for this problem is defined as follows:

2sin(θ) + 1 = 0

Then, isolating the sine, we have that:

2sin(θ) = -1

sin(θ) = -1/2.

The values of theta for which the sine is of negative 1/2 are given as follows:

θ = 210º, θ = 330º.

(as the sine is negative for the third and fourth quadrant, hence we have to find the equivalent angle to 30º in each of these quadrants).

One entire lap over the unit circle is equivalent to 360º, hence adding 360º n times to any of these solutions is also a solution to the trigonometric equation, meaning that option d is correct.

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Answer:

A = 80 cm²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 4 and h = 2 , then

A = 4 × 2 = 8 cm²

there are a total of 10 tiles required ( 5 black and 5 white ) , then total area is

A = 10 × 8 cm² = 80 cm²

The probability that all three are female is  0.281

2030⋅1929⋅18282030⋅1929⋅1828 = 0.281

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Answer: 27.5

Step-by-step explanation:

[tex](x-3)2 = 49\\x-3 = \frac{49}{2} \\x-3 = 24.5\\x = 24.5 + 3\\x = 27.5[/tex]

Answer:

Step-by-step explanation:

so since it’s traveling 9mi/m you need to devide 216 by the rate of 9mi/m to find how long it takes.

216/9=24 so it will take 24 minutes!

Answer:1,944 minutes

Step-by-step explanation:

if the question is a plane is traveling 9 miles per minute how much time is needed to travel 216 miles you need it is clear that you are doing a multiplication problem so multiply that and you get 1,944 minutes

your welcome

well, since the given line is a horizontal line, a perpendicular line to that will just be, yeap, you guessed it, a vertical line, Check the picture below.

The right Riemann sum for the given function is 2.5.

Firstly, we must find the width of each of the subintervals Δx,

We know n = 4, a = 0, b = 2

∴ Δx = b - a / n

Δx =  2 - 0 / 4

Δx = 1/2

The width of each rectangle is 0.5

Next, we must find the locations of the right endpoints of the rectangles -

x1 = a + Δx(1) = 0.5

x2 = a + Δx(2) = 1

x3 = a + Δx(3) = 1.5

x4 = a + Δx(4) = 2

Now that we have the width of each rectangle, Δx = 0.5, and the right endpoints for the rectangles, x1 = 0.5, x2 = 1, x3 = 1.5, x4 = 2.

we can compute the right Riemann sum.

Computing the sum of the areas of the rectangles:

∑Δx f(x) =  ∑ 0.5f(xi)

= 0.5 f(x1) + 0.5 f(x2) + 0.5 f(x3) + 0.5 f(x4)  

= 0.5 (0.5) + 0.5 (1) + 0.5 (1.5) + 0.5 (2)

= 2.5

[tex]\int\limits^2_0 {x^{3} } \, dx[/tex]   ≈ 2.5

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Yes, 5x - 3y = 7 is a linear equation in two variables (x and y)

A linear equation in two variables is an equation in the form ax + by = c, where a, b, and c are real numbers and a and b are not both 0. In this equation, 5x 3y, the coefficients of the variables are 5 and 3, respectively, so a = 5 and b = 3. Therefore, 5x 3y is a linear equation in two variables.

A linear equation in two variables (x and y) is an equation that can be written in the form ax + by = c, where a and b are real numbers and a and b are not both 0. This means that any equation that has two variables with real coefficients will be a linear equation. For example, 5x 3y is a linear equation in two variables because the coefficients of the variables x and y are 5 and 3, respectively. Therefore, 5x 3y is a linear equation in two variables.

the complete question is : Is 5x-3y=7 a linear equation in one variable?

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Answer:

Don't join the points with lines

Make the numbers on the vertical axis larger

Label the axes

Step-by-step explanation:

Make all the points different colours → I don't think that would be useful. Unless the teacher asked you to in class, it's probably not a good answer.

Put the title on the bottom → Same. Unless the teacher asked you to in class, it's not really useful and probably not a good answer.

Don't join the points with lines → Teachers ask indeed not to do this, so I think it's a good answer. Most of the time they prefer students to use curves (hope it's the good translation).

Make the numbers on the vertical axis larger → Since both axes represent notes, it would be easier to compare with the same scale. If that's what the teacher meant, then I think it's correct.

Label the axes → This one is interesting, because right now we don't what they represent at all.

Hope it helps, good luck for your exercices :)

On solving the question, sum of exterior angle is 360 degree. Hence, the value of x is 120°.

The exterior angle of a triangle is equal to the sum of its two opposite interior angles, according to the external angle theorem. Remember that the total external angle, measured from each vertex, is always 360°. Alternatively stated, d + e + f = 360°.The angle that is created between a triangle's extended side and one of its sides is known as the external angle. A triangle has a total of 360 degrees in its outside angles.

x + ( x+6) +114 = 360

2x = 240

x = 120

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Answer:

Step-by-step explanation:

from the form we know, 10/2=15/3=45/9=5.so we need select the second choice, the number of group 50 dollar is 50/5=10

the anwser is second choice, fill 10 in blank.

if u like this, pls 5 stars. tku!

The factoring of the equation is 6x(x + 8). The process of factoring involves determining what to multiply to produce an expression.

The process of factoring involves determining what to multiply to produce an expression.

It resembles "dividing" an expression into several smaller expressions.

There are three steps involved in factoring completely:

A GCF should ideally be factored out of the expression.

As much as you can, factor a trinomial.

Put as many factors as you can into a Difference Between Two Squares.

The Grouping method, the difference in two squares, and the sum or difference in cubes are the four primary methods of factoring. The Greatest Common Factor (GCF) is another.

It should be noted that the given expression must be factored based on the provided information.

The expression given is:

6x² + 48x

The common factor is 6x

6x(x + 8)

Therefore, the factoring of the equation is 6x(x + 8).

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Canvas cannot track tabs.

While Canvas cannot track whether students switch to new tabs in their web browsers during a quiz or test, it can track when a student completes a quiz and navigates to a different page on the website rather than the one they were previously on. However, the general public cannot access this data.

In a perfect world, Canvas wouldn't be able to tell if a student opened new tabs in a browser or a new program or online browser while taking a quiz or test. However, Canvas will watch over and restrict student internet activity if the exam is proctored.

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Answer:

first function

Step-by-step explanation:

there is a common difference between consecutive terms , that is

13 - 10 = 16 - 13 = 19 - 16 = 22 - 19 = 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 10 and d = 3 , then

[tex]a_{n}[/tex] = 10 + 3(n - 1) = 10 + 3n - 3 = 7 + 3n

The slopes of function 1 and function 2 are respectively; -4 and 2. Thus, function 1 has a negative slope

The slope is simply defined as the change in the y-values divided by corresponding change in x-values.

1) Now, the formula for the slope between two coordinates is;

Slope = (y₂ - y₁)/(x₂ - x₁)

Let us take two coordinates from the table as;

(0, 50) and (1, 46). Thus;

Slope = (46 - 50)/(1 - 0)

Slope = -4

2) The general equation for equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, we are given the equation as;

c = 2d + 10

Comparing to the standard form, we have;

Slope = 2

Thus, function 1 has a negative slope

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To the nearest percent, the percent by which the population grew from 2010 to 2020 is; 2%

Percentage increase is defined as the difference between the final value and the initial value, expressed in the form of a percentage.

Now, we are told that;

Initial Population in 2010 = 59000

From 2010 to 2015, the population grew by 7.3%. Thus;

Population in 2015 = 1.073 * 59000 = 63307

Now, we are told that from 2015 to 2020, it fell by 5.3%. Thus;

Population in 2020 = 63307 * (100% - 5.3%)

= 59952

Thus, percentage increase from 2010 to 2020 = (59952 - 59000)/59000) * 100% = 1.61% ≈ 2%

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Answer:

25

Step-by-step explanation:

let there be x questions on the test

80% of x = 20

80% * x = 20

80% = 0.8

0.8 * x = 20

divide both sides by 0.8 to isolate x

x = 20/0.8 = 25

The value of x to the nearest degree will be 112°.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

There are three angles are shown in figure.

That is,

⇒ 59°, 108°, and 81°.

Now, We know that;

Sum of all four angles is 360°.

So, We can formulate;

⇒ 59° + 108° + 81° + x = 360°

⇒ 248° + x = 360°

⇒ x = 360° - 248°

⇒ x = 112°

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