MARKING BRAINLIEST identify all of these triangles with SSS, SAS, ASA, AAS, HL, or non-congruent, please do every single one, or I will report you:)

Answer:

y = 2x - 1.

Step-by-step explanation:

The slope = (7-3)/(4-2)

= 4/2

= 2.

y - y1 = m(x - x1)

Here m = 2 , x1 = 2 and y1 = 3. So we have:

y - 3 = 2(x - 2)

y = 2x - 4 + 3

y = 2x - 1.

We have used the point (2, 3) to find the equation but we could have used (4, 7). We would have got the same answer.

Answer:

y - 3 = 2(x - 2)

Step-by-step explanation:

As we move from Point B (2, 3) to Point A (4, 7), we see x increasing by 2 from 2 to 4 and y increasing by 4 from 3 to 7.  Hence the rise is 4 and the run is 2, which means that the slope of this line is m = rise / run = 4/2 = 2.

Using the point-slope formula y - k = m(x - h) and the point (2, 3), we get:

y - 3 = 2(x - 2)

The percentage change in frequency is 0%.Hence, the natural frequency of torsional vibration of the custen is given by f = 25.7 / L₀^(1/2) and the percentage change in frequency is 0%.

We are given that:

Total moment of inertia of moving parts = I = 1 kgm²

Moment of inertia of air-screw = I = 18 kgm²

Outer diameter of hollow shaft = D₀ = 80 mm

Inner diameter of hollow shaft = Dᵢ = 35 mm

Length of hollow shaft = L = 0.30 m

Stiffness of the crank-throw = K = 2.5 × 10⁴ Nm/rad

Shear modulus of elasticity = G = 83000 N/mm²

We need to calculate the natural frequency of torsional vibration of the custen.

The formula for natural frequency of torsional vibration is: f = (1/2π) [(K/L) (J/GD)]^(1/2)

Where, J = Polar moment of inertia

J = (π/32) (D₀⁴ - Dᵢ⁴)

The formula for equivalent length of hollow shaft is given by:

q₁ = q₁₁ + q₁₂

Where, q₁₁ = (π/32) (D₀⁴ - Dᵢ⁴) / L₁q₁₂ = (π/64) (D₀⁴ - Dᵢ⁴) / L₂

L₁ = length of outer diameter

L₂ = length of inner diameter

For the given shaft, L₁ + L₂ = L

Let L₁ = L₀D₀ = D = 80 mm

Dᵢ = d = 35 mm

So, L₂ = L - L₁= 0.3 - L₀...(1)

For the given crank-throw, q₁ = (π/32) (D⁴ - d⁴) / L, where D = 80 mm and d = 80 mm

Hence, q₁ = (π/32) (80⁴ - 35⁴) / L

Therefore, q₁ = (π/32) (80⁴ - 35⁴) / L₀...(2)

From the formula for natural frequency of torsional vibration, f = (1/2π) [(K/L) (J/GD)]^(1/2)

Substituting the values of K, J, G, D and L from above, f = (1/2π) [(2.5 × 10⁴ Nm/rad) / (L₀) ((π/32) (80⁴ - 35⁴) / (83000 N/mm² (80 mm)³))]^(1/2)f = (1/2π) [(2.5 × 10⁴ Nm/rad) / (L₀) (18.12)]^(1/2)f = 25.7 / L₀^(1/2)...(3)

Now, if we assume that the air-screw mass is infinite, then the moment of inertia of the air-screw is infinite.

Therefore, the formula for natural frequency of torsional vibration in this case is:

f = (1/2π) [(K/L) (J/GD)]^(1/2)Substituting I = ∞ in the above formula, we get:

f = (1/2π) [(K/L) (J/GD + J/∞)]^(1/2)f = (1/2π) [(K/L) (J/GD)]^(1/2)f = 25.7 / L₀^(1/2)

So, in this case also the frequency is the same.

Therefore, the percentage change in frequency is 0%.Hence, the natural frequency of torsional vibration of the custen is given by f = 25.7 / L₀^(1/2) and the percentage change in frequency is 0%.

Learn more about elasticity

brainly.com/question/30999432

#SPJ11

Answer:

A. x=3, y= -6

Step-by-step explanation:

x - 2y = 15

2x + 4y= -18

Solving for x

x-2y=15

Subtract x from both sides

-2y= -x+15

Multiply both sides by -1

2y=x-15

Multiply both sides by 2

4y=2x-30

2x+4y= -18

Subtract 2x from both sides

4y= -2x-18

Combine equations:

-2x-18=2x-30

Add 2x to both sides

-18=4x-30

Add 30 to both sides

12=4x

4x=12

Divide both sides by 4

x=3

Solving for y

x-2y=15

Add 2y to both sides

x=2y+15

Multiply both sides by 2

2x=4y+30

2x + 4y= -18

Subtract 4y from both sides

2x= -4y-18

Combine equations:

-4y-18=4y+30

Add 4y to both sides

-18=8y+30

Subtract 30 from both sides

8y= -48

Divide both sides by 8

y= -6

Answer:

anwser c

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

This triangle is a 3-4-5 Pythagorean Triple. 9 is 3*3, 15 is 5*3, so b is 4*3, which is 12. Alternatively, you could use the Pythagorean Theorem's converse, sqrt(15^2-9^2), and get 12.

Answer:

Simplify 2 pears , any pears  2 on the top and 2 on the bottom  and you will get your answer . You got this

Step-by-step explanation:

The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

To know more about area of a rhombus on the link below:

https://brainly.com/question/12783973#

#SPJ11

Answer:

there is no division symbol on laptops, but you could either search it up and copy and paste it or write it as a fraction

Answer:

I believe you can do / for division, the same symbol for fractions, on most, however, there is another way.

I typed Alt-246. Press and hold the Alt key while you type 2 4 6 on the numeric keypad, not the numbers across the top of the keyboard. You need to have Num-lock on.

÷

Another useful one is Alt-241, which is the plus or minus symbol: ±

These are extended ASCII codes. They work on a PC. There is something similar on a Mac, but I don't know what it is. You could look it up on the internet.

The values of x and y using the concept of similar figures are:

y = 166 and x = 3.33 units

Two triangles are said to be similar if their corresponding side proportions are the same and their corresponding pairs of angles are the same. When two or more figures have the same shape but different sizes, such objects are called similar figures.  

We are told that Polygon ABCD is similar to Polygon EFGH and as such applying the similar figure definition above, we can say that:

∠B = ∠F

Thus:

∠B = 360 - (61 + 116 + 90)

∠B = 360 - 267

∠B = 93°

Thus:

y - 73 = 93

y = 166

Using the concept of similar figures, then:

6/4 = 5/x

x = 20/6

x = 3.33 units

Read more about similar quadrilaterals at: https://brainly.com/question/16261621

#SPJ1

Answer:

1/8

Step-by-step explanation:

There is 8 letters to pick from. There is only one A. SO the probability would be 1/8.

Answer:

The answer is 1/8

Step-by-step explanation:

In the word MONASTIC there are 8 letters, and only 1 is an A which means that the chances of drawing that A is 1/ 8

Answer:

Formula: n+6

In mathematics, a recursive definition is used to define the elements in a set in terms of other elements in the set. 

Answer:

37/8 < 35/6

Step-by-step explanation:

This is because 37/8 - 35/6 is equal to -1/5/24

Step-by-step explanation:

to answer the originated question first :

we know it is linear from the chart, because the function is a straight line.

we know it theoretically, when we look at x and y data pairs, and the change rate is the same constant for every x, y pair to each other.

the rate of change is also called "slope" or "incline". and it is described as ratio of "y coordinate change / x coordinate change".

it describes in fact how many units y changes, when x changes a certain amount of units (like 1).

having said all that, the most usual form as equation for such a line is the slope-intercept form.

y = ax + b

a is the slope of the line and always the factor of x.

b is the y-intercept (or the "initial value", as it is called here). it is simply the y value when x = 0.

we have 2 marked points on the line : (-2, 0) and (0, 3).

let's use them to find the slope.

going from the first to the second point

x changes by +2 (from -2 to 0).

y changes by +3 (from 0 to 3).

so, the slope (a) is +3/+2 = 3/2.

the initial value or y-intercept we get from the second point directly, as this is the point, where x = 0.

so, the initial value or y-intercept (b) is 3.

our line equation is

y = 3/2 x + 3 or 3x/2 + 3

now, we need to define a line with the same b but an a that is lower than 3/2.

since 3/2 is larger than 1, my choice for the new a would be 1 (lower than 3/2), because it is normally the easiest number to deal with.

so, the new line with lower change rate but the same initial value would be

y= x + 3

we could put it to some extreme and actually choose a = 0 (a change rate of 0).

our line equation would simply be

y = 3

this is a flat, horizontal line (parallel to the x-axis) that goes through y=3 on the y-axis.

as you can imagine, y never charged no matter what value we pick for x, so the change rate is 0. and clearly lower than 3/2.

your choice.

but how can you not know anything about this ? have you not been in the class ? but then you need to solve these questions ? that is not right.

I hope I could explain this now to you.

The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To know more about confidence interval refer here:

https://brainly.com/question/32278466#

#SPJ11

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

Read more on Functions here: https://brainly.com/question/29890699

#SPJ11

The solution to the systems of inequalities graphically is shaded S

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

2x + 3y < 9

2y ≥ 4x + 6

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

This region is labelled S

Read more about inequalities at

https://brainly.com/question/30977554

#SPJ1

g1 = g2 and h1 = h2, proving the uniqueness of the decomposition.

Every function f in F can be written uniquely as f = g + h, where g is an even function and h is an odd function.

To show that every function in F can be written uniquely as the sum of an even function and an odd function, we need to prove two things:

1. Any function f in F can be expressed as the sum of an even function and an odd function.

2. The decomposition of f into an even function and an odd function is unique.

Let's start by proving the first statement:

1. Any function f in F can be expressed as the sum of an even function and an odd function.

To show this, we define two functions, g and h, as follows:

g(x) = (f(x) + f(-x))/2   (average of f(x) and f(-x))

h(x) = (f(x) - f(-x))/2   (difference of f(x) and f(-x))

Now, let's verify that g is an even function and h is an odd function:

For g(x):

g(-x) = (f(-x) + f(-(-x)))/2 = (f(-x) + f(x))/2 = g(x)

For h(x):

h(-x) = (f(-x) - f(-(-x)))/2 = (f(-x) - f(x))/2 = -h(x)

Therefore, g is even and h is odd.

Now, let's prove that f(x) can be expressed as the sum of g(x) and h(x):

f(x) = (f(x) + f(-x))/2 + (f(x) - f(-x))/2

    = g(x) + h(x)

Thus, any function f in F can be expressed as the sum of an even function (g) and an odd function (h).

Next, we need to prove the uniqueness of this decomposition:

2. The decomposition of f into an even function and an odd function is unique.

Suppose there are two different decompositions for f:

f = g1 + h1

f = g2 + h2

where g1 and g2 are even functions, and h1 and h2 are odd functions.

Now, let's subtract the two equations:

(g1 + h1) - (g2 + h2) = 0

This simplifies to:

(g1 - g2) + (h1 - h2) = 0

Since g1 - g2 is even (the difference of two even functions), and h1 - h2 is odd (the difference of two odd functions), we have an even function plus an odd function equaling zero.

However, the only function that satisfies this condition is the zero function, where all inputs map to zero. Therefore, g1 - g2 = h1 - h2 = 0.

This implies that g1 = g2 and h1 = h2, proving the uniqueness of the decomposition.

In conclusion, every function f in F can be written uniquely as f = g + h, where g is an even function and h is an odd function.

Learn more about odd function here:

https://brainly.com/question/9854524

#SPJ11

An exponential function can represent growth or decay.

The graph represents an exponential growth function is given by  \(y = ab^{x}\).

An exponential function is represented as:

\(y = ab^{x}\)

Where:

a represents any constant value.

b represents the growth or decay rate of the function

When the value of b is greater than 1, then the exponential function represents growth

Graph shown below represents an exponential growth function.

Hence, the graph representing an exponential growth function is graph traced by \(y = ab^{x}\).

Learn more about exponential functions at:

brainly.com/question/11464095

#SPJ4

Answer: 17

Step-by-step explanation:

Answer:

C=17

Step-by-step explanation:

PEMDAS

5(6-3)+2=

5(3)+2=

15+2=

17

Answer:

25.6 yards

Step-by-step explanation:

A square has 4 equal sides.

The formula for Area is LxW and we know that one side of this square is 1.6 yards. I stated that a square has four equal sides. The length is 1.6, and the width is 1.6.

1.6x1.6= 25.6 yards

The series converges by the ratio test, and its sum is given by S = cos1.8 / (1 - cos1.8) = cos1.8 / sin²(0.9) ≈ 19.52.

We can use the ratio test to determine if the series ∑(k=1 to infinity) (cos1.8)^k converges:

Let a_k = (cos1.8)^k.

Then, the ratio of successive terms is:

|a_{k+1}/a_k| = |cos1.8|

Since 0 <= |cos1.8| < 1, the series converges by the ratio test

To find its value, we can use the formula for the sum of an infinite geometric series:

S = a/(1-r)

where a is the first term and

r is the common ratio.

In this case, a = cos1.8 and r = cos1.8.

Thus, the sum of the series is:

S = cos1.8 / (1 - cos1.8) = cos1.8 / sin²(0.9) ≈ 19.52

Therefore, the series converges to approximately 19.52.

To practice more questions about geometric series:

https://brainly.com/question/24643676

#SPJ11

Step-by-step explanation:

(n-2xb)(4n-xb)

= 4n^2 - 8xbn - xbn + 2(xb)^2

= 4n^2 - 9xbn + 2(xb)^2

The problem with solving 1110 - 1110 using 2's complement in 7-bit data representation is that it results in an overflow, and to overcome this, either increase the number of bits or use a larger data type for representation.

We are subtracting 1110 from 1110 using 2's complement and using 7-bit data representation. Let's go through the steps:

Step 1: Convert 1110 to its 2's complement representation in 7 bits:

  - In 7 bits, the leftmost bit is the sign bit.

  - Since the leftmost bit of 1110 is 1 (indicating a negative number), we can simply represent it as it is: 1110.

Step 2: Perform the subtraction using 2's complement:

  1  1  1  0

- 1  1  1  0

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

  0 0 0 0

The result of the subtraction is 0000. However, this result is problematic because it is not within the range that can be represented with 7 bits using 2's complement.

To overcome this problem and prevent overflow, we can take the following steps:

1. Increase the number of bits: Increase the number of bits used for representing the numbers. Using more bits allows for a larger range of representable numbers and reduces the chance of overflow. If possible, use more bits for data representation.

2. Use a larger data type: If using a fixed number of bits is a requirement, consider using a larger data type, such as a larger integer type, that can accommodate the expected range of values without overflow.

3. Check for overflow conditions: Before performing arithmetic operations, check for potential overflow conditions. For example, when subtracting two negative numbers or adding two positive numbers, the result should have a different sign. If the signs of the operands are the same and the result has the opposite sign, it indicates overflow.

4. Handle overflow cases: If overflow occurs, take appropriate actions based on the specific requirements of your application. This could involve truncating or discarding the most significant bits of the result or applying additional logic to handle the overflow condition appropriately.

By considering these suggestions and adjusting the number of bits or data type used for data representation, you can overcome the problem of overflow when performing arithmetic operations using 2's complement.

To know more about 2's complement, refer here:

https://brainly.com/question/13567157

#SPJ4

b + 1/4 = (1/2) b - 3/4

b - (1/2)b = -3/4 - 1/4

The New Deal program, implemented in the United States during the 1930s, had both positive and negative environmental impacts.

The New Deal program, led by President Franklin D. Roosevelt, included various initiatives to address the economic and social challenges of the Great Depression. In terms of environmental impact, the program had positive aspects. It established agencies like the Civilian Conservation Corps (CCC) and the Soil Conservation Service (now known as the Natural Resources Conservation Service), which focused on conservation efforts. The CCC, for instance, planted trees, built trails, and fought wildfires, contributing to forest preservation and land rehabilitation.

However, some aspects of the New Deal had unintended negative consequences for the environment. The program included large-scale infrastructure projects, such as the construction of dams and roads, which aimed to stimulate economic growth and provide jobs. While these projects brought economic benefits, they also led to ecological disruptions. Dams, for example, altered river ecosystems, impacting fish populations and habitats. Furthermore, the emphasis on industrial and agricultural development sometimes overlooked environmental concerns, leading to unsustainable practices that had long-term environmental effects.

Overall, while the New Deal program had positive intentions in terms of environmental conservation, the full extent of its impact was a mixture of positive and negative outcomes. It laid the foundation for future environmental policies and increased public awareness about the importance of conservation, but some of its infrastructure projects had unintended environmental consequences that had to be addressed in subsequent years.

Learn more about rehabilitation here: brainly.com/question/32155632

#SPJ11

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

To learn more about differential click here : brainly.com/question/31383100

#SPJ11

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

To know more about musical chords, visit,

https://brainly.com/question/14936810

#SPJ4

Answer:

1/2

Step-by-step explanation:

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

Learn more about Matlab code  here:

https://brainly.com/question/30763780

#SPJ4

Answer:

The sun is 9.2549 x 10^-7 miles from the earth

NOTE: I don't know how many significant figures you are needing/given.

Step-by-step explanation:

The earth is 92.549 million miles from the sun.

92 549 000 miles from the sun.

Move the decimal place left until you're right after the first significant figure.

9.2549 x 10^-7