solve similar triangles (advanced)

Answer:

328 IF its 7,872 divided 24. If it 7,872 divided by 24 then it's 0.00304878049

Step-by-step explanation: Please mark as brainlest i really need to keep me motivated.

Answer:

a) an expression for the number of groups formed by p people

number of groups formed = \(\frac{p}{4}\)

b) How many groups are formed if there are 28 people

number of groups formed = \(\frac{p}{4}\)

                                             =28÷4

                                             = 7

Answer: 7 groups

HOPE THIS WILL HELP :)

The graph of the inequality is on the image at the end.

Here we want to find the graph of the single variable inequality:

x < 2

That says that x is smaller than 2.

To graph this we need a number line. On it, we need to draw an open circle at x = 2 (an open circle means that the point is not a solution of the inequality)

And then we need to draw an arrow to the left of that circle, because x is smaller than that value.

The graph of the inequality can be seen in the image at the end.

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4928 rooms / 112 floors

2464 rooms / 56 floors

---Really, all we are doing here is simplifying a fraction until we have a 1 in the denominator

44 rooms / 1 floor

Hope this helps!

try looking the up

Step-by-step explanation:

trylooking them up

A good way to ensure that data issues are properly addressed is by implementing robust data quality assurance and validation processes. These processes involve various steps and techniques to identify, prevent, and resolve data issues effectively. By following these best practices, you can minimize the risk of invalidating testing results due to date-related problems.

One essential step is to establish clear data quality standards and guidelines. This includes defining data formats, data integrity rules, and validation criteria specific to date-related fields. By setting these standards, you provide a framework for ensuring consistent and accurate data across the testing process.

Another important aspect is to perform comprehensive data profiling and analysis. This involves examining the data to identify anomalies, inconsistencies, or inaccuracies related to dates. By using data profiling tools or writing custom scripts, you can detect issues such as missing values, incorrect formats, or outliers within date fields. This analysis enables you to have an overview of the data quality and pinpoint potential problems.

To address data issues effectively, it is crucial to establish data cleansing procedures. This involves correcting errors, resolving inconsistencies, and standardizing date formats. For instance, you can use data cleaning techniques like imputation to fill in missing dates, transforming data into a consistent format (e.g., YYYY-MM-DD), or removing duplicate entries. By applying these cleansing techniques, you improve the accuracy and reliability of the data used in testing.

Furthermore, implementing data validation checks is essential to identify and flag potential issues during the testing process. This can involve writing automated tests or validation scripts that verify the integrity and correctness of date-related data. By performing validation checks at different stages of the testing process, you can detect anomalies promptly and take appropriate actions to address them.

Lastly, fostering a culture of data quality awareness and accountability is crucial. Promoting education and training on data handling best practices, emphasizing the importance of accurate dates, and encouraging open communication about data issues among team members can significantly contribute to ensuring data issues are adequately addressed.

In summary, to ensure data issues are properly addressed, it is important to establish data quality standards, perform data profiling and analysis, implement data cleansing procedures, incorporate validation checks, and foster a culture of data quality awareness. By following these practices, you can mitigate the risk of invalidating testing results due to date-related problems and enhance the overall reliability and integrity of your data.

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Step-by-step explanation:

P * h = k, where k is a real constant.

Answer:

45 min

Step-by-step explanation:

look on z-score table for the value .900

closest on my table is z-score + 1.28

   this is 1.28 S.D. above the mean

          36 + 1.28 * 7 = ~ 45 min

The equation representing this function is y = tan(x)

The equation which represents a tangent function with a domain of all real numbers such that x is not equal to pi over 4 plus pi over 2 times n comma where n is an integer is:y = tan(x)The tangent function is one of the six trigonometric functions, which is abbreviated as tan. The inverse of the cotangent function is the tangent function. It is also referred to as the inverse tangent, arctan, or tan^-1.

It is defined by the ratio of the opposite side to the adjacent side of a right triangle. The tangent function is a periodic function with a period of π radians or 180°. Its value alternates between negative and positive infinity over each period.The tangent function is not defined at odd multiples of π/2, that is, (2n+1)π/2 for all integers n. This is because the denominator in the tangent function becomes zero, causing a vertical asymptote.
For example, the values of the tangent function for π/2, 3π/2, 5π/2, etc. are undefined. Therefore, the domain of the tangent function is all real numbers except for odd multiples of π/2. The notation for the domain is (-∞, -π/2) U (-π/2, π/2) U (π/2, 3π/2) U (3π/2, ∞).However, in this case, the domain is all real numbers except π/4 + nπ/2, where n is any integer.

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If dt = 6e-0.08(7–5)",  the change in y as 1 changes from t = 1 to 1 = 6 is 8.341. Option B (8.341) is the correct answer.

We can solve this problem using integration, by integrating both sides of the given equation we get:

∫dy = ∫6e^(-0.08(7-t))dt, where t varies from 1 to 6.

Solving this integral we get:

y = -50e^(-0.08(7-t)) + C, where C is the constant of integration.

To find the value of C we can use the initial condition y(1) = 0. Therefore, we get:

0 = -50e^(-0.08(7-1)) + C

C = 50e^(-0.08(6))

Substituting this value of C, we get:

y = -50e^(-0.08(7-t)) + 50e^(-0.08(6))

Now, to find how much y changes as t changes from 1 to 6, we can simply substitute these values in the above equation and take the difference:

y(6) - y(1) = -50e^(-0.08(7-6)) + 50e^(-0.08(6)) - (-50e^(-0.08(7-1)) + 50e^(-0.08(6)))

y(6) - y(1) = 8.341 (approx)

Therefore, the correct answer is option B (8.341).

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ANSWER:

A. 337.5 miles

STEP-BY-STEP EXPLANATION:

What we must do is calculate the distance in each section, when the speed and time vary, the sum of both section is the total distance:

Section 1:

Section 2:

The total distance is:

Answer:

b.

Step-by-step explanation:

The correct function of the graph is,

⇒( f(x) = (x-a)²(x-b)⁴

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, Clearly from the graph of the function we could see that zero is not a root of the polynomial function

Hence, option (a) and (c) are discarded.

Now, we will check for option (b) and option (d)

As the graph touches the x-axis at two point i.e. a and b that means that both the roots of the polynomial equation are of even degree.

Hence, the correct option is:

⇒ f(x) = (x-a)²(x-b)⁴

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The probability of event A given that event B has occurred is equal to the probability of event A, which is 0.7.

If A and B are independent events, then the occurrence of event B does not affect the probability of event A. Therefore, we can use the formula for conditional probability, P(A|B) = P(A ∩ B) / P(B), to calculate the probability of event A given that event B has occurred.

However, since A and B are independent, we know that P(A ∩ B) = P(A) x P(B), which gives us:

P(A | B) = P(A ∩ B) / P(B) = (P(A) x P(B)) / P(B) = P(A) = 0.7

This makes sense because the independence of A and B implies that knowing the outcome of event B does not provide any additional information about the probability of event A.

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Answer:

Step-by-step explanation:

Given:

The total of last 3 is $345, it means the total of the first 14 is:

Use the sum of the first n terms formula, consider the first term is a and common difference is d:

Find it at n = 14 and n = 17:

Subtract the equations and solve for d:

Find the value of a:

Hi there.

The solution is attached as image.

Please check

Answer:

Step-by-step explanation:

5-2(2x - 3) = 12

Expanda los términos en el corchete

Eso es

5 - 4x + 6 = 12

Agrupar términos similares

Envíe las constantes al lado derecho de la ecuación y aquellas con variables al lado izquierdo

Tenemos

- 4x = 12 - 5 - 6

- 4x = 1

Divide ambos lados entre - 4

Tenemos la respuesta final como

Espero que esto te ayude

Answer:

(x, y) = (-1, 4)

Step-by-step explanation:

3x + 3y = -3 (1)

-2x + y = 2 (2)

From (2)

y = 2 + 2x

Substitute y = 2 + 2x into (1)

3x + 3y = -3 (1)

3x + 3(2 + 2x) = -3

3x + 6 + 6x = -3

9x + 6 = -3

9x = -3 - 6

9x = -9

x = -9/9

x = -1

Substitute x = -1 into (2)

-2x + y = 2 (2)

-2(-1) + y = 2

-2 + y = 2

y = 2 + 2

y = 4

(x, y) = (-1, 4)

Answer:

(-1,0)

Step-by-step explanation:

Interior angle of a polygon = (n-2) * 180 / n

Exterior angle of a polygon = 360 / n

To translate coordinates in a two-dimensional plane, you need to know the translation vector. A translation vector is a pair of numbers (a, b) that indicates the amount of movement in the x-direction and y-direction.

To translate a point (x, y) by the translation vector (a, b), you can use the following formulas:

x' = x + a

y' = y + b

Where x' and y' are the new coordinates of the point after the translation.

A translation is a transformation that moves a figure a certain distance in a certain direction without rotating or reflecting it. In this case, we are asked to translate the triangle EFG 2 units down. This means that we need to move the triangle down 2 units on the y-axis.

To translate a point (x, y) down 2 units, we can add -2 to the y-coordinate. The new coordinates of the point will be (x, y - 2).

The coordinates of E are (-4, 1), so the coordinates of E' after the translation are (-4, 1-2) = (-4,-1)

The coordinates of F are (-3,-2), so the coordinates of F' after the translation are (-3,-2-2) = (-3,-4)

The coordinates of G are (2, 1), so the coordinates of G' after the translation are (2,1-2) = (2,-1)

So the new coordinates for the triangle EFG' after the translation are:

E'(-4,-1)

F'(-3,-4)

G'(2,-1)

It's important to notice that the x-coordinates didn't change because we are only translating the triangle down, on the y-axis.

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Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

Two Angle whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

If ∠ 8 is supplementary to ∠ 9, then line x and y must be parallel lines wheres line s is the transverse line.

∠ 7 = ∠ 4.

Now, ∠ 7 = ∠ 2 and ∠ 4 = ∠ 9.

So, ∠ 2 = ∠ 3 {supplementary angles}

Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

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The vector component of u orthogonal to v is the vector (174/29, -158/29, -1).

(a) The projection of u onto v is given by:

projv u = ((u ⋅ v) / ||v||²2) ×v

where u ⋅ v is the dot product of u and v, and ||v||²2 is the norm (magnitude squared) of v.

u ⋅ v = (6 ×3) + (2 ×7) + (-1 ×0) = 24

||v||²2 = (3²2) + (7²2) + (0²2) = 58

Therefore, we have:

projv u = ((24) / (58)) ×(3, 7, 0)

projv u = (72/58, 168/58, 0)

Simplifying, we get:

projv u = (36/29, 84/29, 0)

Therefore, the projection of u onto v is the vector (36/29, 84/29, 0).

(b) The vector component of u orthogonal to v can be found by subtracting the projection of u onto v from u:

u_orth = u - projv u

Substituting the values we found in part (a), we get:

u_orth = (6, 2, -1) - (36/29, 84/29, 0)

Simplifying, we get:

u_orth = (174/29, -158/29, -1)

Therefore, the vector component of u orthogonal to v is the vector (174/29, -158/29, -1).

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Answer:

Multiply the numerator by the reciprocal of the denominator. Multiply x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=1x f - 1 ( x ) = 1 x is the inverse of f(x)=1x f ( x ) = 1 x .

Step-by-step explanation:

:)

Answer:570

Step-by-step explanation:

Because the digit 9 is greater 4, we round 0.9 to 1, adding 1 to 569.

Step-by-step explanation:

sorry for this ..... this is my dear⬆️.......

According to the information provided, it can be inferred that the number of locals that attended the inauguration of the new museum was 125 locals.

To calculate the ratio of the situation described, we must perform the following operation taking into account the data we have:

\(\frac{Tourist}{Locals} = \frac{4}{5}\)

\(\frac{100}{locals} = \frac{4}{5}\)

\(\frac{100 * 5}{4} = 125\)

According to the above, it can be inferred that there are 125 locals at the opening of the new museum.

Note: This question is incomplete because the options are missing. Here are the options:

A. 125 locals.

B. 25 locals.

c. 134 locals.

D. 80 locals.

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Answer:

11/16th of cheese

Step-by-step explanation:

Veronica had 1 1/4th lbs of cheese already but the container weighted 1/16 lbs. 4/16ths are equal to 1/4th. Veronica only had 1 3/16ths worth of cheese so knowing that she had 8/16ths left add 3/16ths and you get 11/16ths.

Answer:

C) 4 3/4

Step-by-step explanation:

If you're having trouble with fractions, just convert to decimal

53.5 - 48.75 = 4.75 or 4 3/4

Answer:

10,000 X 6% = 600

2500 X 8% = 200

Total is 800

Step-by-step explanation:

The total graduated commission on 12500 dollars is 800 dollars.

Percentage is the value per hundredth.

According to the given question upto 10000 dollars the commission is of 6%.

∴ Commission at 6% on 10000 dollars is = (6/100)×10000 dollars.

= 6×100 dollars.

= 600 dollars.

Remaining amount is (12500 - 10000) = 2500 dollars and his commission is of 8 %.

∴Commission at 8% on 2500 dollars is = (8/100)×2500 dollars.

= 8×25 dollars.

= 200 dollars.

So,  the total graduated commission on 12500 dollars is (600+200) dollars.

= 800 dollars.

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Since η² ≈ 0.33 and not 0.50, the statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η² = 0.50" is false.

ANOVA, or Analysis of Variance, is a statistical method used to compare the means of two or more groups to determine if there are any statistically significant differences between them. It is commonly used in experimental and observational studies to analyze the variance between group means and within-group variability.

ANOVA tests the null hypothesis that the means of the groups are equal, against the alternative hypothesis that at least one of the group means is different. It calculates the F-statistic, which compares the between-group variability to the within-group variability. If the F-statistic is large enough and exceeds a critical value, it indicates that there is evidence to reject the null hypothesis and conclude that there are significant differences between the group means.

We can determine if η² = 0.50 is true or false by calculating the effect size η² using the provided SS between and SS within values.
η² = SS_between / (SS_between + SS_within)
η² = 20 / (20 + 40)
η² = 20 / 60
η² = 1/3 ≈ 0.33
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True, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

The formula to calculate eta squared (η2) is:
η2 = SSbetween / (SSbetween + SSwithin)
If SSbetween = 20 and SSwithin = 40, then:
η2 = 20 / (20 + 40) = 0.5
Therefore, η2 = 0.50, which means that 50% of the total variance in the dependent variable can be attributed to the independent variable (or factor) being analyze. The statement "If an analysis of variance produces SS between = 20 and SS within = 40, then η 2 = 0.50" is true. To determine η 2 (eta-squared), you'll need to calculate the proportion of total variance explained by the between-group variation. This can be done using the formula η 2 = SS between / (SS between + SS within). In this case, η 2 = 20 / (20 + 40) = 20 / 60 = 0.50. Therefore, the eta-squared value is indeed 0.50, indicating that 50% of the total variance is accounted for by the between-group variation.

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Answer:

\(\displaystyle \sin\theta=\frac{12}{13}\)

Step-by-step explanation:

Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:

\(\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\)

We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:

\(a^2+b^2=c^2\)

Let a be the adjacent side and b be the opposite side. c will be the hypotenuse.

Substitute:

\((5)^2+b^2=(13)^2\)

Solve for b:

\(b=\sqrt{169-25}=\sqrt{144}=12\)

So, the opposite side measures 12.

Then sine will be:

\(\displaystyle \sin\theta=\frac{12}{13}\)