What is a 3 sided polygon with at least two sides the same length??

Answer:

Solution,

Here,∠FGD=∠CGE=30°[Being vertically opposite angles]

Now  we have,

90°+∠CGE+x=180°

or,90°+30°+x=180°

0r,x=180°-30°-90°

→x=60°

Step-by-step explanation:

Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

Finite-state machines for given inputs: (a) 0s multiple of 3: 3-state machine. (b) At least four 1s: 4-state machine. (c) Exactly one 1: 2-state machine. (d) Begins with 000: 3-state machine. (e) Second is 0, fourth is 1: 4-state machine. (f) 01 pairs or 2 1s + 0s: 3-state machine. (g) Ends in 110: 3-state machine.

To construct finite-state machines that act as recognizers for the given inputs, we can follow these guidelines:

(a) For the set of all strings where the number of 0s is a multiple of 3, we can use a finite-state machine with three states. Start with the initial state, and transition to the next state whenever a 0 is encountered. After three transitions, go back to the initial state. If the machine ends in the accepting state, output 1.
(b) For the set of all strings containing at least four 1s, we can use a finite-state machine with four states. Start with the initial state, and transition to the next state whenever a 1 is encountered. If the machine enters the final state after four transitions, output 1.

(c) For the set of all strings containing exactly one 1, we can use a finite-state machine with two states. Start with the initial state and transition to the final state when the first 1 is encountered. Output 1 only if the final state is reached.

(d) For the set of all strings beginning with 000, we can use a finite-state machine with three states. Start with the initial state and transition to the next state whenever a 0 is encountered. If the machine reaches the final state after three transitions, output 1.

(e) For the set of all strings where the second input is 0 and the fourth input is 1, we can use a finite-state machine with four states. Start with the initial state and transition to the next state based on the inputs. Output 1 only if the machine reaches the final state.

(f) For the set of all strings consisting entirely of any number (including none) of 01 pairs or consisting entirely of two 1s followed by any number (including none) of 0s, we can use a finite-state machine with three states. Start with the initial state and transition based on the inputs. Output 1 only if the final state is reached.

(g) For the set of all strings ending in 110, we can use a finite-state machine with three states. Start with the initial state and transition based on the inputs. Output 1 only if the final state is reached.

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Finite-state machines (FSMs) can be constructed to act as recognizers for specific patterns in input strings. These are examples of how to construct FSMs as recognizers for different patterns in input strings. Each FSM is designed to produce an output of 1 when the input received matches the description provided.

Let's consider the given cases and construct FSMs for each one.

(a) The set of all strings where the number of Os is a multiple of 3:
To construct an FSM for this, we can keep track of the number of Os encountered so far. Initially, set the count to zero. When an O is encountered, increment the count by one. If the count becomes a multiple of 3, the FSM outputs 1; otherwise, it outputs 0. Reset the count to zero whenever a 1 is encountered.

(b) The set of all strings containing at least four 1s:
To create an FSM for this, we can keep track of the number of 1s encountered so far. Initially, set the count to zero. When a 1 is encountered, increment the count by one. If the count becomes equal to or greater than four, the FSM outputs 1; otherwise, it outputs 0.

(c) The set of all strings containing exactly one 1:
To build an FSM for this, we can have two states: a "no 1 encountered" state and a "1 encountered" state. Initially, start in the "no 1 encountered" state. Whenever a 1 is encountered, transition to the "1 encountered" state. If another 1 is encountered in the "1 encountered" state, transition to a third "more than one 1 encountered" state. In this case, the FSM outputs 0. Otherwise, if no additional 1s are encountered, the FSM outputs 1.

(d) The set of all strings beginning with 000:
To create an FSM for this, start in an initial state. When a 0 is encountered, transition to a second state. If two consecutive 0s are encountered in the second state, transition to a third state. Finally, if a third 0 is encountered in the third state, the FSM outputs 1; otherwise, it outputs 0.

(e) The set of all strings where the second input is 0 and the fourth input is 1:
To construct an FSM for this, start in an initial state. When the first input is read, transition to a second state. In the second state, transition to a third state if the second input is 0. In the third state, transition to a fourth state if the third input is not 0. Finally, in the fourth state, if the fourth input is 1, the FSM outputs 1; otherwise, it outputs 0.

(f) The set of all strings consisting entirely of any number (including none) of 01 pairs or consisting entirely of two Is followed by any number (including none) of Os:
To create an FSM for this, we can have multiple states to represent different scenarios. We start in an initial state and transition to a second state when a 0 is encountered. In the second state, transition back to the initial state if a 1 is encountered. If a 1 is encountered in the initial state, transition to a third state. In the third state, transition to a fourth state if an O is encountered. Finally, if an O is encountered in the fourth state, the FSM outputs 1; otherwise, it outputs 0.

(g) The set of all strings ending in 110:
To construct an FSM for this, start in an initial state. Transition to a second state if a 1 is encountered. In the second state, transition to a third state if a 1 is encountered again. Finally, if a 0 is encountered in the third state, the FSM outputs 1; otherwise, it outputs 0.

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Answer:

i think the anwser is eight

Answer:

50

Step-by-step explanation:

Both a(x) and b(x) have the same output value at x = 2. Option B

We need to know that functions are described as expressions or laws showing the relationship between the variables.

These variables are listed as;

From the information given, we have that;

a(x) = b(x) at x = 2

Because a(x) = b(x), the lines intersect a the a point 2.

Both functions have a point in common.

Also the outcomes or results for the functions for x= 2 are the same

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Answer:

$8.98

Step-by-step explanation:

Divide 26.94 by 3

Answer: $8.98

Step-by-step explanation:

26.96/3= 8.98

the reduced row echelon form of the matrix (2 7 -3 7 -5) is given as follows.
1 0 2 0 3/2
0 1 -1 0 -1/2

The reduced row echelon form of the matrix (2 7 -3 7 -5) is given as follows.

1 0 2 0 3/2
0 1 -1 0 -1/2

To find the reduced row echelon form of the given matrix, we need to apply elementary row operations until the matrix is in its reduced row echelon form.

We begin by subtracting 7 times the first row from the second row, yielding the following matrix.

2 7 -3 7 -5
0 -42 17 -49 33

Next, we divide the second row by -42, which yields the following matrix.

2 7 -3 7 -5
0 1 -17/42 49/42 -33/42

Next, we add 3 times the second row to the first row, yielding the following matrix.

2 10/3 -4/3 98/42 -23/42
0 1 -17/42 49/42 -33/42

Next, we add 2 times the third row to the first row, yielding the following matrix.

2 10/3 0 145/42 -89/42
0 1 -17/42 49/42 -33/42

Finally, we add 17/42 times the fourth row to the second row, yielding the following matrix.

2 10/3 0 145/42 -89/42
0 1 0 4/3 -4/3

Therefore, the reduced row echelon form of the matrix (2 7 -3 7 -5) is given as follows.

1 0 2 0 3/2
0 1 -1 0 -1/2

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Answer:

x ≥ -59 or x  ≤-43

Step-by-step explanation:

|x+51|≥8

We know eitherx+51≥8orx+51≤−8

x+51≥8(Possibility 1)

x+51−51≥8−51(Subtract 51 from both sides)

x≥−43

x+51≤−8(Possibility 2)

x+51−51≤−8−51(Subtract 51 from both sides)

x≤−59

x≥−43 or x≤−59

Answer:

36

Step-by-step explanation:

x²-12x+36 = (x-6)(x-6)

Answer:

R = 4

s = -3

Step-by-step explanation:

r + 4s = -8

3r + 2s = 6

there are several ways to solve this system but i chose the elimination method and multiplied the second equation by -2 to get:

  -6r - 4s = -12 and added it to the first equation

+ 1r + 4s =  -8

 -5r = -20

   r = 4

plug in to find 's':  4 + 4s = -8

                              4s = -12

                               s = -3

The value of P (longer part is more than twice shorter one) is 0.5.

The length of the stick is broken by Shannon into two parts at a random point.

It is required to find the probability that the longer of the two parts is more than twice the shorter one.

Let us assume the length of the stick to be x.

Now, let us assume that the stick is broken at a distance of k from the left-hand side of the stick.

Therefore, the length of the longer part will be x - k and the length of the shorter part will be k.

Thus, we need to find the value of k such that x - k is greater than twice k.

This can be written in the form of an inequality as follows: x - k > 2k

Rearranging this equation, we get:

x > 3k

The probability of this happening can be found by using the ratio of the length of the stick to the length of the part that is less than twice the other part.

Let us consider the stick to be of unit length.

Hence, the probability that the shorter part is less than half of the length of the stick is given by the length of the segment represented by k, which is equal to 0.5.

This is because, for the shorter part to be less than half of the length of the stick, the breaking point should be less than 0.5 units from the left end of the stick.

Now, we can write the probability that the longer part is more than twice the shorter one as follows:

P(longer part is more than twice shorter one) = P(x > 3k)

= P(k < x/3)

This probability is equal to the ratio of the length of the segment represented by k, which is 0.5, to the length of the stick, which is 1.

Therefore, P(longer part is more than twice shorter one) = 0.5 / 1

= 1/2

= 0.5.

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Answer:

its 8.97 I think

Step-by-step explanation:

6.9×8.97

Answer:

\(\frac{6}{27}\)

With the help of trignometric ratios we can say that the value of sinФ= 2/3.

According to our question-

This is the boundary or contour length of a 2D geometric shape.

Depending on their size, multiple shapes may have the same circumference. For example, imagine a triangle made up of wires of length L.

The same wire can be used to create a square if all sides are the same length.

The length covered by the perimeter of the shape is called the perimeter.

Therefore, the units of circumference are the same as the units of length.

As we can say, the surroundings are one-dimensinal. As a result, you can measure in meters, kilometers, millimeters, etc.

Inches, feet, yards, and miles are other globally recognized units of circumference measurement.

According to our question-

sin= perpendicular/hypotenuse

cos=base/hypotenuse

tan= perpendicular/base

cosec= 1/sin

sec=1/cos

tan=1/cot

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The evaluated integral ∫(x - yz - 2) ds is equal to √(2) * [t²/2 - 3t] + C, where C is the constant of integration.

Let's denote the parametric equations for the line segment as follows: x = x(t) y = y(t) z = z(t)

Since we are given the points (0, 1, 1) and (1, 0, 1) as the endpoints of the line segment, we can determine the equations for x(t), y(t), and z(t) by interpolating between these two points.

For the x-coordinate, we observe that it varies linearly from 0 to 1 as t ranges from 0 to 1. Therefore, we can set: x(t) = t

For the y-coordinate, it decreases linearly from 1 to 0 as t increases from 0 to 1. Hence, we have: y(t) = 1 - t

The z-coordinate remains constant at 1 throughout the line segment, so we can set: z(t) = 1

The arc length ds can be calculated using the formula:

ds = √(dx/dt² + dy/dt² + dz/dt²) dt

To find dx/dt, dy/dt, and dz/dt, we differentiate the parametric equations x(t), y(t), and z(t) with respect to t, respectively.

dx/dt = 1 dy/dt = -1 dz/dt = 0

Now we substitute these derivatives into the arc length formula to get: ds = √(1² + (-1)² + 0²) dt ds = √(2) dt

Finally, we can rewrite the integral in terms of t and substitute the expression for ds: ∫(x - yz - 2) ds = ∫(t - (1 - t) * 1 - 2) √(2) dt = ∫(t - 1 + t - 2) √(2) dt = ∫(2t - 3) √(2) dt

To evaluate this integral, we can integrate term by term:

= √(2) * [t²/2 - 3t] + C

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Answer:6/l per min??

Step-by-step explanation:

If the heart rate is 72 beats per minute and the stroke volume 81 mL per beat, then the cardiac output is 5.8 liters per minute, rounded to the tenths place.

Explanation:

Cardiac output (CO) is the volume of blood pumped by the heart per minute. It is the product of the heart rate (HR) and the stroke volume (SV).

HR (heart rate) is the number of heart beats per minute, and SV (Stroke volume) is the volume of blood pumped out by the heart with each beat. To calculate CO, we simply multiply HR by SV.

In this case, the given heart rate is 72 beats per minute, and the stroke volume is 81 mL per beat. To calculate the cardiac output, we need to convert the stroke volume from mL per beat to L per beat by dividing it by 1000 (since there are 1000 mL in a liter):

Stroke volume (SV) = 81 mL/beat ÷ 1000 mL/L = 0.081 L/beat

The cardiac output can be calculated by multiplying the heart rate by the stroke volume. Therefore, the cardiac output in this case would be:

Cardiac output (CO) = Heart rate (HR) x Stroke volume (SV)

= 72 beats/min x 0.081 L/beat

= 5.832 L/min

Therefore, the cardiac output is 5.8 liters per minute, rounded to the tenths place.

To summarize, we can calculate the cardiac output by multiplying the heart rate (HR) and the stroke volume (SV), where SV is the volume of blood pumped out by the heart with each beat, and HR is the number of heart beats per minute. In this case, the given HR is 72 beats per minute, and the stroke volume is 81 mL per beat, so we first convert the SV to L per beat and then multiply HR and SV to get the cardiac output, which is 5.8 liters per minute.

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Answer:

219.7522cm^2

Step-by-step explanation:

To find area of black portion, we will find the area of the whole square first.

Length of square = 4xRadius of circle

= 4 x 8cm

= 32cm

Area of Square = Length x Width = 32x32

= \(1024cm^{2}\)

Now we find the area of the 4 circles.

Area of 4 circles = 4 x Area of circle

= \(4\pi r^{2}\)

= \(4\pi (8)^{2} \\=4\pi (64)\\=256\pi cm^{2}\)

Area of black portion = Area of square - Area of 4 circles

= \(1024cm^{2} -256\pi cm^{2}\)

= \(219.7522cm^{2}\)

Answer:

The raise the Camden will get each year.

Step-by-step explanation:

y = mx + b, where m is the slope.

If n is the years worked it would not be the amount of money made after the initial hiring because it would not fit for every year. N is replacing x in equation.

The variable b would be the amount of money that is given when hired this is because it does not depend on how many years worked. So it is a one time only thing just like stated in the equation.

M proves that Camden will get money x the years that hew worked. The raise seems to fit this the best because it is the only one that is able to be repeated.

The correct radius of the cylinder is given by: Option B: 3.04 cm

The formula for the volume of a cylinder is given by the formula:

V = πr²h

where:

V is volume

r is radius

h is height

We are given the parameters as:

Height: h = 12.25 cm

Volume: V = 355 cm³

Thus:

355 = π * r² * 12.25

r² = (355)/(12.25π)

r² = 9.2245

r = √9.2245

r = 3.04 cm

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Answer:

the answer is 2x-3 = 9

Step-by-step explanation:

the question is telling us to look for the expression that is equal to both sides of =. count the blocks on the right side which is 9. count the ones on the left which is 2x and 3. find x which is 6. this allows to solve both of the possible answers (this case being 2x - 3 or 2x + 3)

2x6 + 3 = 15

2x6 - 3 = 9

^ this expression equals 9 so that is your answer. hope that made sense

Answer:

y = -0.5x + 4

Step-by-step explanation:

Answer:

x=8c

or

x=8

Step-by-step explanation:

Hope that helps :)

The value stored in the variable x after the execution of the following code snippet will be b) 2.

The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.

Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.

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Leo Tolstoy's quote, "I can still make it the real thing -- I can. But what is the real thing?" is a thought-provoking statement that reflects Tolstoy's exploration of the concept of authenticity in his works. In this quote, Tolstoy is questioning the true essence or nature of something, particularly in relation to art or life.

By saying "I can still make it the real thing," Tolstoy implies that he has the ability to create something genuine, to capture the true essence of it. However, he follows it up with the question, "But what is the real thing?" This suggests that he is contemplating what truly defines authenticity and whether it can ever be fully attained.

Tolstoy's inquiry can be interpreted in various ways. It may refer to his own quest for genuine expression in his writing or his exploration of the authenticity of human experiences. It could also be seen as a broader philosophical question about the nature of reality and the search for truth.

Ultimately, Tolstoy's quote invites readers to reflect on the meaning of authenticity and prompts them to consider what constitutes the "real thing" in various aspects of life.

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The equation of the set of all points equidistant from A and B is:
\(√[(x - 2.5)^2 + (y - 3.5)^2 + (z - 0)^2] = √[22.5]\)

To find the equation of the set of all points equidistant from points A(-1, 6, 2) and B(6, 1, -2), we can use the midpoint formula. The midpoint of AB is the point equidistant from both A and B.

Midpoint coordinates:
\(x-coordinate = (-1 + 6) / 2 = 2.5\\y-coordinate = (6 + 1) / 2 = 3.5\\z-coordinate = (2 - 2) / 2 = 0\)

Therefore, the midpoint is \(M(2.5, 3.5, 0).\)

Now, we can find the distance from the midpoint M to A or B using the distance formula.

Let's use the distance from M to A as an example.

Distance from M to A:
\(√[(2.5 - (-1))^2 + (3.5 - 6)^2 + (0 - 2)^2]\\√[3.5^2 + (-2.5)^2 + (-2)^2]\\√[12.25 + 6.25 + 4]\\√[22.5]\)

The distance from M to A is \(√[22.5].\)

Therefore, the equation of the set of all points equidistant from A and B is:
\(√[(x - 2.5)^2 + (y - 3.5)^2 + (z - 0)^2] = √[22.5]\)

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The researcher used a within-subjects design in this study, which involves measuring the same group of participants under different conditions.

The research design used in this study is a within-subjects design, also known as a repeated measures design, where the same group of participants is measured twice, once during a period of abstinence and once during a period of red wine consumption with dinner.

This design allows the researcher to compare the cholesterol levels of the same group of participants under two different conditions, with and without red wine consumption, and therefore, eliminate potential individual differences between participants that could influence the results.

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Answer:

I think it is the first one