whats the difference between irrational and rational numbers

Based on the given side lengths of 8, 11, and 12, none of them are equal. Therefore, we can classify the triangle as a Scalene Triangle.

To classify a triangle by its angles and sides, we can use the properties and definitions of different types of triangles. Let's analyze the given triangle with sides measuring 8, 11, and 12 and angles measuring 45 degrees, 65 degrees, and 70 degrees.

Classification by angles:

Acute Triangle: An acute triangle has all three angles less than 90 degrees.

Obtuse Triangle: An obtuse triangle has one angle greater than 90 degrees.

Right Triangle: A right triangle has one angle exactly 90 degrees.

Based on the given angles of 45 degrees, 65 degrees, and 70 degrees, none of them are greater than 90 degrees, so we can classify the triangle as an Acute Triangle.

Classification by sides:

Equilateral Triangle: An equilateral triangle has all three sides of equal length.

Isosceles Triangle: An isosceles triangle has two sides of equal length.

Scalene Triangle: A scalene triangle has all three sides of different lengths.

Based on the given side lengths of 8, 11, and 12, none of them are equal. Therefore, we can classify the triangle as a Scalene Triangle.

In summary, based on the given measurements, the triangle can be classified as an Acute Scalene Triangle. We determined this by comparing the angles to the definitions of acute, obtuse, and right triangles, and comparing the side lengths to the definitions of equilateral, isosceles, and scalene triangles.

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Answer: 4

Step-by-step explanation:

Answer:4

Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16

100 is the common difference of the given sequence

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is the number of elements.

Given the sequence below

8, 108, 208, 308...

The nth term of an arithmetic sequence is given as Tn = a + (n-1)d

The common difference is the difference between the preceding and the succeeding term.

First term = 12

Second term = 20

Common difference = 108 -8 = 208 - 108

Common difference = 100

Hence the common difference of the sequence is 100

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Answer:

nobody

Step-by-step explanation:

Step-by-step explanation:

1 2/3, 1 1/2, 1 1/4 1 7/12 =>

1 8/12 , 1 6/12, 1 3/12, 1 7/12

Complete Question:

A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE. What is BD?

*The circle is attached below in the attachment

Answer:

BD = 11

Step-by-step explanation:

Given:

AE = x

EC = x + 12

BE = x + 2

ED = x + 5

Required:

Length of BD

Solution:

First, create an equation to find the value of (x + 2)(x + 5) = (x)(x + 12) => intersecting chords theorem

x(x + 5) + 2(x + 5) = x(x + 12)

x² + 5x + 2x + 10 = x² + 12x

Add like terms

x² + 7x + 10 = x² + 12x

Subtract x² from each side

x² + 7x + 10 - x² = x² + 12x - x²

7x + 10 = 12x

10 = 12x - 7x

10 = 5x

10/5 = 5x/5

2 = x

x = 2

Next, find BD:

BD = BE + ED

BD = x + 2 + x + 5

Add like terms

BD = 2x + 7

Plug in the value of x

BD = 2(2) + 7

BD = 4 + 7

BD = 11

Answer:

What is BD?

11  units

Step-by-step explanation:

The percent decrease for the given numbers is 25%.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Given that,

The number is decreasing from 40 to 30.

The difference is 40 - 30 = 10.

The percent decrease can be found by multiplying the ratio of the difference to the initial value by 100 as follows,

Percent decrease = 10/40 × 100

                              = 25%

Hence, the percent decrease from 40 to 30 is 25%.

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Answer:

1188

Step-by-step explanation:

12x42 + 18x38  = 1188

Answer:

an inexpensive source of energy.

explanation:

hope u hav a gud day ^-^

Answer:

a. 33 degrees

b. 90 degrees

c. 57 degrees

Answer:

1/8

Step-by-step explanation:

I looked it up lol

Answer:

1/8

Step-by-step explanation:

2^-3

= 1/2^3 ( The reciprocal of the negative exponent is positive).

= 1/8

The equation of the perpendicular line as required is; y = 2x -3.

Since the line in discuss is perpendicular to the given line whose slope is; -1/2. It therefore follows that the slope of the line to be determined is;

m = -1/(-1/2) = 2.

The equation of the required line can therefore be written as;

2 = (y-7)/(x-2)

2x -4 = y -7

Hence, y = 2x -3 is the equation of the line.

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Probabilistic data refers to data that involves uncertain or random events.

it is typically analyzed using probability theory or statistical methods. Examples of probabilistic data include the outcomes of a coin toss, the probability of a person having a certain genetic trait, or the likelihood of an event occurring given certain conditions. The formula P(A) x P(B) = P(A and B) is a probability formula that applies to probability theory and statistics, which deal with random events and their likelihoods. Therefore, it is related to probabilistic data

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The tangent lines to y = x² that pass through the given point have the slopes A. - 2 and 14.

The slopes of the tangent lines to the function can be found by first finding where the point on the curve intersects.

Derive the function:

dy/dx = 2x

The slope is therefore:

y - a² = 2a(x - a)

(-7) - a² = 2a(3 - a)

-7 - a² = 6a - 2a²

2a² - 6a - 7 = 0

(2a + 1)(a - 7) = 0

The solutions for these is:

a = -1/2 and a = 7

Multiplied by 2:

- 1 and 14.

Option A is the closest to this so is correct.

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Answer:

Step-by-step explanation:

The mean would  be 11.857142857143 , so basically 11.9

The mean life span of the given farm animals is approximately 11.9 years, obtained by adding up all the individual life spans and dividing the total by the number of animals.

The question asks for the mean, or average, of the life spans of various farm animals. Here's how we calculate it:

Therefore, the mean life span of these farm animals is approximately 11.9 years, which corresponds to option B.

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Answer:

b = 12.5

YZ= 100

Step-by-step explanation:

X__Y__Z

XZ = XY + YZ

175 = 6b + 8b

175 = 14 b

b = 175/14

b = 12.5

YZ = 8 b = 8 × 12.5 = 100

I hope I helped you^_^

Answer:

Jeff’s speed is 7 mph

Jon’s speed is 6 mph

Step-by-step explanation:

Since the time spent by each is same, let us call the number of hours x

Mathematically;

Time = distance/speed

Let us call Jeff’s speed y

x = 14/y ••••••(i)

For Jon

he hiked 1 mph slower, so his speed will be (y-1) mph

x = 12/(y-1)

Since x is equal in both cases

14/y = 12/y-1

14(y-1) = 12y

14y -14 = 12y

14y-12y = 14

2y = 14

y = 14/2

y = 7 mph

Jon is 1 mph slower which is 7-1 = 6 mph

Answer:

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle. Since the circumference of a circle is 2πr , one revolution around a circle of radius r corresponds to an angle of 2π radians because sr=2πrr=2π radians.

Step-by-step explanation:

if it helped uh please mark me a BRAINLIEST :)

Answer:

I don't think this is right since it is a negative number but i tried ;-; -10.2

Step-by-step explanation:

First do the area of the rectangle(bookmark) ((L x W)) = 40 ... Then do the area of the semicircle(holes) 50.27 ((extra- next cut that in half, = 25.135(optional- round to 25.1?) x2)), And subtract that number from 40. = -10.2

The approximation for the value of cos(12) using the fourth-degree Taylor polynomial is approximately 505.

We have,

To approximate the value of cos(12) using the fourth-degree Taylor polynomial for cos(x) about x = 0, we can use the formula:

cos(x) ≈ \(1 - (x^2 / 2) + (x^4 / 24)\)

Substituting x = 12 into the formula, we have:

cos(12) ≈ \(1 - (12^2 / 2) + (12^4 / 24)\)

≈ 1 - 72 + 576

≈ 505

Therefore,

The approximation for the value of cos(12) using the fourth-degree Taylor polynomial is approximately 505.

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Jamaal using whole interval type of data recording to collect the data on Freddie’s on-task behavior.

One form of interval recording technique is whole interval recording. An interval recording approach involves watching to see if a behavior happens or not within predetermined intervals of time. After determining the duration of an observation session, the time is divided into shorter segments that are all of the same length. To record the incidence of behavior, ten boxes may be utilized to divide a 10-minute observational session into 1-minute intervals. A whole interval recorder uses a X for occurrence and a O for no non-occurrence to indicate if a behavior occurred during the entire interval.

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B. Could possibly be true

Because, who knows? They could be, but they may not be.

The measure of the perpendicular of the right-angle triangle will be 16.728 units.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The sine of the angle is the ratio of perpendicular to the hypotenuse.

sin θ = Perpendicular / Hypotenuse

The angle is 42° and the measure of Hypotenuse is 25. Then the measure of the side 'x' will be given as,

sin θ = Perpendicular / Hypotenuse

sin 42° = Perpendicular / 25

Perpendicular = 25 x sin 42°

Perpendicular = 16.728

The measure of the perpendicular of the right-angle triangle will be 16.728 units.

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Answer:

x = 10

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{BE}{BF}\) = \(\frac{BD}{BC}\) ( substitute values )

\(\frac{56+5x-8}{56}\) = \(\frac{52+39}{52}\) , that is

\(\frac{48+5x}{56}\) = \(\frac{91}{52}\) ( cross- multiply )

52(48 + 5x) = 56 × 91 = 5096 ( divide both sides by 52 )

48 + 5x = 98 ( subtract 48 from both sides )

5x = 50 ( divide both sides by 5 )

x = 10

The value of p that makes the game equiprobable for both players is p = 0.5.

To determine the value of p that makes the game equiprobable, we need to find the probability at which both players have an equal chance of winning. Since B's coin is fair, it has a 50% chance of showing a head on each toss.

For A's biased coin to ensure an equal chance of winning, the probability of A getting a head should also be 50%. This means that p, the probability of A's coin showing a head, should be 0.5.

If A's coin is biased such that p = 0.5, then both players have an equal probability of winning the game. Each player has a 50% chance of getting a head on their turn, making the game fair and equiprobable for both players.

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The equations that can be used to determine the volume, V, of the rectangular prism with a length of 10 meters, a width of 5 meters, and a height of 2 meters are V = 10 × 5 × 2 and V = 10 × 5 × 5.

To calculate the volume of a rectangular prism, we multiply the length, width, and height of the prism. In this case, the length is 10 meters, the width is 5 meters, and the height is 2 meters.

Using the formula V = length × width × height, we can substitute the given values into the equation. This gives us V = 10 × 5 × 2, which simplifies to V = 100 cubic meters.

Additionally, the equation V = 10 × 5 × 5 is also correct, but it represents the volume of a different rectangular prism where the height is mistakenly given as 5 instead of 2. Therefore, while this equation is mathematically correct, it does not represent the volume of the given rectangular prism with a height of 2 meters.

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The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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fobt ≈ 1.945. This is the calculated value of the F-statistic for the given data.

The fobt, also known as the F-statistic, is used in statistical analysis to assess the significance of differences between groups or treatments. It is calculated by dividing the mean square variation between groups (MSbetween) by the mean square variation within groups (MSwithin).

In this case, we are given MSbetween = 54.2 and MSwithin = 27.9. To find fobt, we use the formula fobt = MSbetween / MSwithin. Substituting the given values, we have fobt = 54.2 / 27.9.

Dividing these two values gives us fobt ≈ 1.945. This is the calculated value of the F-statistic for the given data. The significance of this value depends on the context and the specific analysis being performed. Generally, the fobt value is compared to a critical value or p-value to determine if the observed differences between groups are statistically significant.

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