Which of the following could be the side lengths of similar triangles?

Question 5 options:

1, 2, 3 and 4, 5, 6


2, 3, 8 and 4, 6, 16


1, 1, 7 and 2, 3, 14


5, 10, 20 and 5, 10, 15

Answer:

B

Step-by-step explanation:

The amount of rainfall and the temperature can influence how quickly rocks weather. The pace of chemical weathering is accelerated by high temperatures and heavier rainfall.

Compared to comparable rocks living in cold, dry climates, rocks in tropical regions subjected to heavy rainfall and high temperatures weather far more quickly.

Carbon dioxide, a powerful greenhouse gas, traps solar heat as well. Additionally, a warmer Earth speeds up chemical weathering by increasing rainfall and the rate at which rainwater interacts with rock.

The highest rates of chemical weathering will often be seen in regions with high temperatures and lots of precipitation.

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The area of a horizontal cross-section of the cylinder whose diameter is 2.75 inches and height is 6 inches is 5.9 inch².

Diameter of the base of the container = 2.75 inch

Height of the cylinder = 6 inch

Area of a horizontal cross-section of the cylinder = πr²

Here, r = radius of the container

Radius = Diameter/2

Radius = 2.75/2

Radius = 1.375

Area of the horizontal cross-section of the cylinder = 3.14 × 1.375 × 1.375

Area = 5.9365625

Area of the horizontal cross- section of the cylinder to the nearest tenth is 5.9

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Answer:

N is right in between the trangle so it might be 4.5 ft?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Your answer

X =0.35 p

Mark it as Brainlist. Follow me for more answer.

After a reflection across the y-axis, the point keeps the same y-coordinate and changes the sign of the x-coordinate.

So, after reflecting point D across the y-coordinate, its image will be:

D'(-7, -5)

The​ chi-squared statistic measures which of the "goods of fit". Therefore option B is correct.

The chi-squared statistic is a statistical measure that is used to test the goodness of fit between an observed frequency distribution and an expected frequency distribution. It measures how well the observed values fit the expected values and quantifies the differences between them.

The calculation of the chi-squared statistic involves comparing the observed and expected frequencies for each category and computing a sum of squared differences between them, divided by the expected frequency. The resulting value indicates the degree to which the observed frequencies differ from the expected frequencies.

In summary, it can be sais that the chi-squared statistic is used to assess whether the observed frequencies are consistent with the expected frequencies or not , and it is commonly used in hypothesis testing, particularly in testing for independence in contingency tables or testing the fit of a model to observed data.

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Answer:

6.2

Step-by-step explanation:

khan

A. The total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. The power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

To calculate the total charge in the device at t = 1 s, we need to integrate the current over time.

Given:

v(0) = 27 sin(44) V

i(0) = 28(1 + e⁻²¹) mA

We'll convert the current to amperes for consistency:

i(0) = 28(1 + e⁻²¹) × 10^(-3) A

We integrate the current from t = 0 to t = 1 s to find the total charge:

q(t) = ∫[0 to t] i(t') dt'

Since q(0) = 0, we can write:

q(t = 1) = ∫[0 to 1] i(t') dt'

Let's perform the integration:

q(t = 1) = ∫[0 to 1] 28(1 + e⁻²¹) × 10⁻³ dt'

= 28(1 + e⁻²¹) × 10⁻³ ∫[0 to 1] dt'

= 28(1 + e⁻²¹) × 10⁻³ [t'] [0 to 1]

= 28(1 + e⁻²¹) × 10⁻³ (1 - 0)

= 28(1 + e⁻²¹) × 10⁻³ mC

Therefore, the total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. To calculate the power consumed by the device at t = 1 s, use the formula:

P(t) = v(t) × i(t)

Given v(0) = 27 sin(44) V and i(0) = 28(1 + e⁻²¹) mA, we need to evaluate v(t) and i(t) at t = 1 s:

v(t = 1) = 27 sin(44)

i(t = 1) = 28(1 + e⁻²¹)

Now we can calculate the power:

P(t = 1) = v(t = 1) × i(t = 1)

= 27 sin(44) × 28(1 + e⁻²¹)

Therefore, the power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

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The complete question goes thus:

The voltage v1) across a device and the current i(t) through it are (0) = 27 sin(44) V and (0) = 28(1 + e-21) mA.

Calculate the total charge in the device at t = 1 s, assuming q(0) = 0. The total charge in the device at t = 1 s is ___ mC.

Calculate the power consumed by the device at t = 1 s. The power consumed by the device at t = 1 s is ___ mW.

Answer:

r = 728   ( there might be an easier way! )

Step-by-step explanation:

w/r = 3/8       then   w = 3/8 r

b/w = 2/7       b = 2/7 w     sub in the above equation  b = 2/7 (3/8 r) = 6/56 r

r + w + b = 1079

r + 3/8 r + 6/56 r = 1079

  r = 728

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

Answer: ASA, C

Step-by-step explanation:

I think it's ASA cuz since the lines indicate they are parallel, then you can find that the two interior angles are also congruent. Since two angles are the same with the side inbetween being the same, it's probably asa.

To find the probability that a student break lasts more than 7 minutes, we can use the z-score formula to standardize the break time and then use the standard normal distribution table or a calculator to find the probability. The probability that a student break lasts more than 7 minutes is approximately 0.3745 or 37.45%.

Step 1: Calculate the z-score.
The z-score formula is given by:
z = (X - μ) / σ
where X is the break time, μ is the mean, and σ is the standard deviation. In this case, X = 7 minutes, μ = 6.3 minutes,

and σ = 2.2 minutes. Plugging in these values:
z = (7 - 6.3) / 2.2 ≈ 0.32
Step 2: Find the probability using the standard normal distribution table or a calculator.
Now that we have the z-score, we can find the probability that a student break lasts more than 7 minutes. We want to find the area to the right of the z-score (0.32) since we are interested in break times longer than 7 minutes.
Using a standard normal distribution table or a calculator, we find that the area to the left of z = 0.32 is approximately 0.6255. However, we want the area to the right of z = 0.32, which is given by:
Area to the right of z = 1 - Area to the left of z
Area to the right of z ≈ 1 - 0.6255 ≈ 0.3745.

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Major challenges for managers to ensure that they treat their employees fairly and equitably includes recognizing Biases and Inclusivity

Major challenges for managers to ensure that they treat their employees fairly and equitably includes recognizing biases and promoting inclusivity.

1:Biases: Managers must recognize and address their own biases,  the biases that may exist within the organization. Biases can be conscious or unconscious, and  lead to unfair treatment and favoritism. Managers need to be aware of these biases and actively work to mitigate their impact on decision-making processes such as promotions, assignments, and evaluations.

2:Inclusivity: Managers need to promote inclusivity by creating a work environment where all employees feel valued, respected, and included. This involves acknowledging and appreciating diversity in terms of race, gender, age, sexual orientation, ethnicity, and other dimensions of identity. Managers should ensure that opportunities for growth and advancement are accessible to all employees, and that discriminatory practices or behaviors are not tolerated.

Biases and promoting inclusivity, managers can foster a fair and equitable workplace where all employees have equal opportunities to succeed and contribute to the organization's goals.

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Answer: 35,000 · 0.87t

Step-by-step explanation: A coefficient is multiplying

Polynomials are expressions. The solution of the division can be written as \(4x^2-27x+167-\dfrac{996}{x+6}\).

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The division of the polynomial  (4x³-3x²+5x+6) when divided by (x+6), can be done in the following manner,

\(\dfrac{4x^3-3x^2+5x+6}{x+6}\)

\(=4x^2+\dfrac{-27x^2+5x+6}{x+6}\)

\(=4x^2-27x+\dfrac{167x+6}{x+6}\)

\(=4x^2-27x+167+\dfrac{-996}{x+6}\\\\\\=4x^2-27x+167-\dfrac{996}{x+6}\)

Hence, the solution of the division can be written as \(4x^2-27x+167-\dfrac{996}{x+6}\).

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Answer:

Step-by-step explanation:

OPT D ON EDG 2023

2005 is 10 years after 1995.

\(392(10)+5400=\boxed{\$8690}\)

The length of the legs of the right triangle are the ones in option D;

4.9 units, 14.2 units

Here we have a right triangle with one interior angle that measures 19°, and the hypotenuse measures 15 units.

To find the measures of the legs we can use trigonometric relations; we will get the measures of the two legs.

cos(19°) = x/15 ----> x = cos(19°)*15 = 14.2 units.

sin(19°) = y/15 ----> y = sin(19°)*15 =  4.9  units

Then the correct option will be D, these are the two lenghts of the legs of the right triangle.

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The answer is C (x = 91.2)

Step-by-step explanation:

x - 15.2 = 76

x = 76 + 15.2

x = 91.2

Answer:

The domain is the set of all possible x-values

The range is the resulting y-values

Answer: 9

Step-by-step explanation:

Answer:To find the average rate of change for the interval from x = 5 to x = 6, we need to calculate the change in the function values over that interval and divide it by the change in x.

Given the points (5, 0) and (6, 4), we can calculate the change in the function values:

Change in y = 4 - 0 = 4

Change in x = 6 - 5 = 1

Average rate of change = Change in y / Change in x = 4 / 1 = 4

Therefore, the correct answer is 4. None of the given options (A, B, C, or D) match the correct answer.

Step-by-step explanation:

Answer:

Hello! answer: 22

Step-by-step explanation:

10 + 2 + 2 × 5 = 22 HOPE THAT HELPS!

Answer:

28

Step-by-step explanation:

The T-Shirts are 5.

The Socks are 2.

The Ties are 10.

The last image shows 1 tie, 3 socks twice and a t-shirt.

10 + 3 + 3 · 5 = 28

To maximize the number of interviews, 12 undergraduate students, 4 graduate students, and 4 faculty members should be hired. The maximum number of interviews that can be conducted is 684.

Let x, y, and z be the number of undergraduate students, graduate students, and faculty members hired, respectively. The objective is to maximize the number of interviews, which is given by the function

N = 18x + 25y + 30z.

The total cost of hiring interviewers is given by the function

C = 100x + 150y + 200z.

The constraints are x + y + z ≤ 20 (due to transportation limitations), and C ≤ 3200 (the budget constraint). Using linear programming techniques, we can solve for the optimal values of x, y, and z, which are 12, 4, and 4, respectively.

The maximum number of interviews is 18(12) + 25(4) + 30(4) = 684.

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Answer:

OPTION A:

SEE IMAGE FOR SOLUTION

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

The cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

A Cartesian equation is essential in mathematics. It corresponds to a mathematical formula that expresses the connection between elements as a function of their positions on a plane known as Cartesian.

A two-dimensional coordinate scheme called the Cartesian plane employs a horizontal x-axis and an upward y-axis to identify locations in space.

Given that, \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\).

So, \(csc\hspace{0.1cm}\theta=cosec \hspace{0.1cm}\theta\).

The equation becomes as follows:

\(r=2cosec\hspace{0.1cm} \theta\)

By using the trigonometric equation \(cosec\hspace{0.1cm} \theta=\frac{1}{sin\hspace{0.1cm}\theta}\), we get

\(r= \frac{2}{sin \hspace{0.1cm} \theta}\)

Multiplying both sides by \(sin\hspace{0.1cm}\theta\), we get

\(r \hspace{0.1cm}sin\hspace{0.1cm}\theta =2\hspace{0.1cm}\frac{sin\hspace{0.1cm}\theta}{sin\hspace{0.1cm}\theta}\)

\(rsin\hspace{0.1cm}\theta=2\)

By the parametric equations \(x=rcos\hspace{0.1cm}\theta\) and \(y=rsin\hspace{0.1cm}\theta\), we get

\(y=2\)

It is a horizantal line.

Hence, the cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

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The cartesian equation for the curve is: y = 2 This is a horizontal line passing through the point (0,2).

To find a Cartesian equation for the curve given by the polar equation r = 2 csc(θ), we will convert the polar coordinates (r, θ) into Cartesian coordinates (x, y) using the following relationships:

x = r * cos(θ)
y = r * sin(θ)

Step 1: Express r in terms of θ
r = 2 csc(θ)

Step 2: Since csc(θ) = 1 / sin(θ), rewrite the equation as
r = 2 / sin(θ)

Step 3: Express x and y in terms of r and θ
x = r * cos(θ)
y = r * sin(θ)

Step 4: Substitute r from Step 2 into the y equation
y = (2 / sin(θ)) * sin(θ)

Step 5: Simplify the equation
y = 2

The Cartesian equation for the given polar equation is y = 2, which represents a horizontal line passing through the point (0, 2).

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Answer:

Step-by-step explanation:

Solving

A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

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