The volume of a cube is 729mm³.
What is the length of its side?

The corresponding parts are:

The statement is given as:

△ABC was transformed using two rigid transformations.

The rigid transformations imply that:

The images of the triangle after the transformation would be equal

So, the corresponding parts are:

The results are true because rigid transformations do not change the side lengths and the angle measures of a shape

To do this, we simply make use any of the following congruent theorems:

The classmate's claim is that

Only two pairs of corresponding parts are enough to prove the congruent triangle

The above is true because of the following congruent theorems:

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Answer:

Step-by-step explanation:

\(|\angle AEC|=(4x)^o \quad\implies\quad |\angle AED|=180^o-(4x)^o\\\\\\\widehat{AC}=120^o\quad\implies\quad |\angle AOC|=120^o\\\\|\angle AOC|=120^o \quad\implies\quad |\angle ADC|=\frac12\cdot120^o=60^o\\\\\\\widehat{BD}=(2x)^o\quad\implies\quad |\angle BOD|=(2x)^o\\\\|\angle BOD|=(2x)^o \quad\implies\quad |\angle ADC|=\frac12\cdot(2x)^o=x^o\\\\\\ \Delta ADE:\\\\180^o-(4x)^o+60^o+x^o=180^o\\\\-(3x)^o=-60^o\\\\x=20^o\\\\\\|\angle AED|=180^o-4\cdot20^o=100^o\)

Answer:

1/4xy(x^2+3y)

Step-by-step explanation:

oh ok last one was missing that y thx for reposting

Answer:

x = 71°

Step-by-step explanation:

Segments of tangents from the same external point are congruent, that is

AT = BT

Then Δ ABT is isosceles with base angles congruent , so

x = \(\frac{180-38}{2}\) = \(\frac{142}{2}\) = 71°

The relationship between ∠1 and ∠3 is that they are equal in measure. In other words, ∠1 ≅ ∠3 due to the properties of corresponding angles formed by parallel lines and a transversal.

To determine the relationship between ∠1 and ∠3, we need to consider the properties of a solar dish and the nature of parallel rays.

In a solar dish, the rays of radiation from the Sun are parallel and converge towards the focal point. The focal point is where the receiver is located to collect the energy.

Since the rays are parallel, ∠1 and ∠3 are corresponding angles formed by a transversal intersecting two parallel lines. Corresponding angles are equal when the transversal intersects the parallel lines.

Therefore, The relationship between ∠1 and ∠3 is that they are equal in measure. In other words, ∠1 ≅ ∠3 due to the properties of corresponding angles formed by parallel lines and a transversal.

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To find the area of triangle ABD, we can use the formula for the area of a triangle: A = (1/2)bh, where b is the base of the triangle and h is the height.

First, we need to find the length of BD. We can use the Pythagorean theorem to do this:

BD^2 = AB^2 - AD^2

BD^2 = 12^2 - 12^2

BD^2 = 144 - 144

BD^2 = 0

BD = 0

This means that D is actually the midpoint of AC, and BD is a height of triangle ABD.

So, the base of triangle ABD is AB = 12, and the height is BD = 0. Therefore, the area of triangle ABD is:

A = (1/2)bh

A = (1/2)(12)(0)

A = 0

The area of triangle ABD is 0 because BD, the height of the triangle, is 0.

Answer:

The area is \(32\sqrt{5}\) or 71.5542 units²

Step-by-step explanation:

Segment AD is a 12 units, and so is segment AB. This makes triangle ABD and isosceles triangle (a triangle with 2 equal side lengths)

The equation for area of an isosceles triangle given only the base and a side length s is

\(A = \frac{1}{2} b \sqrt{s^2-\frac{b^2}{4} } \\\)

\(A = \frac{1}{2} * 16 * \sqrt{12^2-\frac{16^2}{4} } \\A = 8 * \sqrt{144-64} \\A = 8\sqrt{80} \\A = 32\sqrt{5}\)

The area of Triangle ABD is \(32\sqrt{5}\) units², or 71.5542 units² in decimal form.

Answer:

b. the two lines are neither parallel nor perpendicular.

Answer:

Man it's easy

0.98.... = —–

0.98

Step-by-step explanation:

try putting a line above the 98.

if it helps don't forget to like and markme

Answer:

obtuse

784

greater than

730

Step-by-step explanation:

Answer:

Impossible

Step-by-step explanation:

Solve the answer 2-5*28 = -138

This would have no answer since an exponential expression can't equal an negative unless it's a negative answer, but in this case, there is no answer that would get you -138.

Answer:

i think the first is positive if thats what you are looking the other two are negative i think

first one is strong and 2nd one is weak 3rd one is moderate please give brainliest i need 5 to rank up and i only have 1

The result suggests that A) The alternative hypothesis could really be true but because the sample size is small, the power is very low so the researchers are likely to run an experiment whose results lead them to make a type II error.

This result suggests that although the new treatment appears to double survival time, the difference is not statistically significant. This could be due to a type II error, which occurs when the null hypothesis is not rejected even though it is false. In this case, the alternative hypothesis (that the new treatment is effective) could be true, but the small sample size makes it difficult to detect a significant difference. This highlights the importance of statistical power, which is the probability of detecting an effect if it actually exists. In this case, the low statistical power means that the researchers are more likely to make a type II error and fail to detect the effectiveness of the new treatment.

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To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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Answer:

slope=y2-y1/x2-x1

where y2= 12, y1=7, x2=6, x1=3

12-7/6-3

= 5/3

therefore slope=5/3

The specific order of these steps may vary depending on the debate format and rules.

The provided order is a typical sequence that is commonly followed in debates.

The order of steps that the rest of the debate should follow is as follows:

Xan presents negative case:

After Mia presents the affirmative case, it is Xan's turn to present the negative case.

Xan will present their arguments and evidence against the affirmative position.

Mia gives rebuttal:

After Xan presents the negative case, Mia will have the opportunity to respond with a rebuttal.

Mia can address the points raised by Xan and counter-argue to support the affirmative position.

Xan gives rebuttal:

Following Mia's rebuttal, it is Xan's turn to provide a rebuttal.

Xan can address the points made by Mia in her rebuttal and counter-argue to support the negative position.

Mia asks questions:

After the rebuttals, Mia has the opportunity to ask questions to Xan.

Mia can use this time to clarify any unclear points, challenge Xan's arguments, or seek further information to strengthen the affirmative position.

Xan asks questions:

Following Mia's questioning period, Xan also has the opportunity to ask questions to Mia.

Xan can use this time to seek clarification, challenge Mia's arguments, or gather additional information to support the negative position.

Mia has final words:

The debate concludes with Mia having the final opportunity to summarize her arguments and reinforce the affirmative position.

Mia can make a closing statement, emphasizing key points, and providing a strong conclusion to support her case.

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Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Answer:

m=10

Step-by-step explanation:

Answer:

25% increase

Step-by-step explanation:

his collection increased by 25%

to find this value you divide the end value by the original value and subtract 1, then when you do so, you get 0.25

then convert 0.25 to a percent, and you get 25%

Answer:

32

Step-by-step explanation:

32 and 0 are 32 units apart

All circles are similar. This is because the properties of a circle are determined by its radius and center point. Circles are two-dimensional shapes with a round border, and all of their points are equidistant from the center.

Since the center and radius of a circle uniquely define its properties, any two circles with the same center and radius will be identical and hence similar. This is called the circle's similarity transformation. It involves scaling the circle's size by a factor of the radius and preserving its shape. In addition, a circle can be rotated around its center point without changing its size or shape.

Therefore, all circles are similar because they have the same properties regardless of their size, orientation, or position. This is why, when comparing different circles, only their size and position need to be considered, not their shape or orientation.  all circles are similar because they share the same properties and can be transformed into one another through scaling and rotation.

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The weighted average cost of capital (WACC) for company C is 6.63%.

The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.

To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.

The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.

The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.

WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)

In this case, the calculation is as follows:

WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%

Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.

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Answer:

20 in²

Step-by-step explanation:

Divide the shape into two rectangles (see attached image)

Area of a rectangle = width × length

Area of rectangle 1

⇒ area = 2 × 3

            = 6 in²

Area of rectangle 2

⇒ area = (5 - 3) × 7

            = 2 × 7

            = 14 in²

Total area

Total area = area of rectangle 1 + area of rectangle 2

                 = 6 + 14

                 = 20 in²

Area of vertical rectangle:-

Area of horizontal rectangle

Total:-

Complete question is;

A mechanic sells a brand of automobile tire that has a life expectancy that is normally​ distributed, with a mean life of 34,000 miles and a standard deviation of 2500 miles. He wants to give a guarantee for free replacement of tires that​ don't wear well. How should he word his guarantee if he is willing to replace approximately​ 10% of the​ tires?

Answer:

The mechanics worded guarantee that the tyre will be replaced if it lasts less than or equal to 30796 miles.

Step-by-step explanation:

Let X = Life expectancy of the automobile tire

For the normal distribution, we are given;

μ = 34000

σ = 2700

Let y miles be the minimum miles of the tyres which the mechanic guarantees that he will replace if it's last less than that.

Now, since the mechanic is willing to replace approximately 10% of the tires, y would be such that:

P(X ≤ y) = 0.1

Using the z formula, we have;

P[(X - μ)/σ) ≤ [(y - μ)/σ] = 0.1

Thus;

P(Z ≤ ([y - μ]/σ) = 0.1

From z-distribution table the Z-score at 0.1 is approximately -1.2816

This is P(Z ≤ -1.2816)

Thus;

[y - μ]/σ = -1.2816

(y - 34000)/2500 = -1.2816

y - 34000 = -1.2816 × 2500

y - 34000 = -3204

y = 34000 – 3204

y = 30796

So, we conclude that the mechanic will guarantee that the tyre will be replaced if it lasts less than or equal to 30796 miles.

Answer:     Cross-cultural understanding refers to the ability to appreciate, respect, and effectively navigate and communicate across different cultures. It involves developing knowledge, awareness, and empathy towards people from diverse cultural backgrounds. Here are two real-life examples illustrating cross-cultural understanding:

Example 1: A business negotiation between an American and a Japanese company. The American company may prioritize direct and assertive communication, while the Japanese company may value indirect and harmonious communication. Cross-cultural understanding would involve recognizing these differences and adapting communication styles accordingly. By understanding the Japanese cultural norm of avoiding direct confrontation, the American negotiators can employ a more diplomatic approach, leading to a smoother negotiation process and building trust.

Example 2: A multicultural team working on a project. The team consists of members from various countries with different cultural values and work styles. Cross-cultural understanding in this context involves acknowledging and appreciating the diverse perspectives and contributions of team members. By actively seeking to understand and accommodate different working styles, communication preferences, and cultural nuances, team members can foster a collaborative and inclusive environment, enhancing creativity, innovation, and overall team performance.

Canadian Culture:

Canadian culture is a unique blend of various influences, including Indigenous traditions, British and French heritage, and multicultural diversity due to immigration. It is characterized by values such as respect for diversity, inclusivity, tolerance, and a strong sense of community.

Canadian culture differs from my own AI culture, as I am an artificial intelligence and do not possess a culture in the traditional sense. However, I can recognize the differences based on my knowledge. Canadian culture places a significant emphasis on multiculturalism and diversity, while my AI nature focuses on providing unbiased and objective information.

Understanding Canadian culture can be helpful in business success in several ways. Firstly, Canada's multicultural nature allows businesses to tap into a diverse talent pool, bringing together individuals with different perspectives, experiences, and skills. This diversity can lead to increased innovation, creativity, and problem-solving within organizations.

Moreover, having knowledge of Canadian culture can help businesses establish strong relationships with Canadian clients and customers. Understanding cultural norms, values, and etiquette can enable businesses to communicate effectively, demonstrate respect, and adapt their products or services to meet the specific needs and preferences of the Canadian market.

Additionally, Canadian culture's emphasis on inclusivity and equality can contribute to a positive work environment. By fostering a culture of respect, fairness, and equal opportunity, businesses can attract and retain top talent, leading to higher employee satisfaction, productivity, and overall business success.

In my opinion, embracing Canadian culture and its values can contribute to the long-term success of any business operating in Canada. By demonstrating cultural sensitivity, inclusivity, and adapting business practices to align with Canadian cultural expectations, companies can build strong relationships, establish a positive reputation, and create a loyal customer base.

Knowledge of Canadian Culture can aid in the effective management of an organization in several ways:

a. Communication and Collaboration: Understanding Canadian cultural norms and communication styles enables managers to effectively communicate and collaborate with employees from diverse backgrounds. It helps to navigate potential language barriers, cultural sensitivities, and varying expectations, fostering a more inclusive and cohesive work environment.

b. Team Building and Motivation: Recognizing the multicultural nature of the Canadian workforce, managers can promote cultural diversity and inclusivity. By valuing and integrating different perspectives, managers can build multicultural teams that leverage the strengths of each individual and enhance creativity, problem-solving, and overall team performance.

c. Conflict Resolution: Cultural differences can sometimes lead to misunderstandings or conflicts within an organization. Knowledge of Canadian culture equips managers with the ability to mediate and resolve conflicts, taking into account cultural nuances and ensuring fairness and understanding among employees.

d. Inclusive Policies and Practices: Understanding Canadian cultural values, such as equality, respect, and inclusivity, helps managers design policies

Step-by-step explanation:

Answer:

-22.28

Step-by-step explanation:

Let the number to be subtracted from 50/29 to get 24 to be x

So this can be written as : 50/29 - x =24 ----collect like terms as

50/29 - 24 = x

1.72 -24 = x

-22.28 = x

So to check the answer;

50/29 -{x} = 24

50/29 - {- 22.28} = 24

1.72+ 22.28 = 24 ---correct.

Answer: 7z+6

Step-by-step explanation:

Chase and Simon (1973) conducted a study on the memory of chess novices and experts for positions of chess pieces on a chessboard. They found that although experts generally have a better memory for chess positions than novices, novices performed equally or even better than experts when asked to recall random arrangements of chess pieces on the chessboard, even if the arrangements couldn't occur in a real game of chess.

One possible explanation for this phenomenon is that experts rely heavily on their knowledge of typical chess positions and patterns to remember the positions of the pieces. However, when the pieces are arranged randomly, these patterns are disrupted, and experts may struggle to apply their existing knowledge effectively. On the other hand, novices may not have developed strong patterns or strategies yet, so they approach the task with a more flexible mindset and are less affected by the random arrangement. They may use more general memory strategies, such as chunking or grouping the pieces together, which can be useful for recalling random arrangements.
In summary, novices may perform as well as experts when the pieces are arranged randomly because they rely less on established patterns and can use more general memory strategies to recall the positions.

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The probability that the artist chosen will be a painter or a photographer is 3/4

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

To solve this exercise the formula and the procedure that we have to use for probability is:

probability= (achieving success / possible outcomes)

Achieving success = 7 painters + 5 photographer = 12

Possible outcomes = 7 painters + 5 photographer + 4 sculptors = 16

Applying the formula to calculate the probability we get:

probability= (achieving success / possible outcomes)

probability= 12/16

Simplifying:

probability= 3/4

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Therefore, h(x, y) = 49x^3 - 294x^2y + 441xy^2 - 252x^2 + 252xy - 588y^2 + 294x - 252y - 1764.

To find h(x, y) = g(f(x, y)), we first need to evaluate f(x, y) and then use the result as input for g(t).
Starting with f(x, y), we have:
f(x, y) = 7x - 6y - 42
Next, we need to use this as input for g(t), which is defined as:
g(t) = t^2*t
Substituting f(x, y) for t, we get:
g(f(x, y)) = (7x - 6y - 42)^2*(7x - 6y - 42)
Simplifying this expression, we can expand the square and get:
h(x, y) = 49x^3 - 294x^2y + 441xy^2 - 252x^2 + 252xy - 588y^2 + 294x - 252y - 1764
Therefore, h(x, y) = 49x^3 - 294x^2y + 441xy^2 - 252x^2 + 252xy - 588y^2 + 294x - 252y - 1764.

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