Make a the subject of the formula r = square root a/3

Step-by-step explanation:

\( \sqrt{ - 81} = 9i \\ \sqrt{ - 11} = i \sqrt{11} \\ \sqrt{ - 20} = i \sqrt{20} \)

Answer:

MNK = TRP

MN is congruent to TR.

X = 6.3

Step-by-step explanation:

MNK is congruent to TRP because the two triangles are congruent, which is a given statement. This also means that all side and angle measures will be congruent. Because of this, it can be inferred that MN is congruent to TR and they have equal side length measures. This means that TR measures 20. This means that 3X - 1 = 20. By solving we can get 6.33.

There are 420 ways to select a committee of 4 people with at least 2 women.

To solve these problems, we can use the formula for combinations. The number of ways to choose k items from a set of n items is given by:

C(n, k) = n! / (k! * (n - k)!)

where "!" denotes the factorial function.

To select a committee of 4 people from a pool of 12 people, we can use the formula:

C(12, 4) = 12! / (4! * 8!) = 495

So there are 495 ways to select a committee of 4 people without any additional criteria.

To select a committee of 4 people with 2 men and 2 women, we can first count the number of ways to choose 2 men from the 5 men and 2 women from the 7 women. This gives us:

C(5, 2) * C(7, 2) = (5! / (2! * 3!)) * (7! / (2! * 5!)) = 10 * 21 = 210

So there are 210 ways to select a committee of 4 people with 2 men and 2 women.

To select a committee of 4 people with at least 2 women, we can count the number of committees with exactly 2 women, 3 women, or 4 women, and add them together.

The number of committees with exactly 2 women is:

C(7, 2) * C(5, 2) = 21 * 10 = 210

The number of committees with exactly 3 women is:

C(7, 3) * C(5, 1) = 35 * 5 = 175

The number of committees with all 4 women is:

C(7, 4) = 35

So the total number of committees with at least 2 women is:

210 + 175 + 35 = 420

Therefore, there are 420 ways to select a committee of 4 people with at least 2 women.

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Answer:

Where is that question you're talking about please

Answer:

The true statements is;

Dilations of an angle must be congruent to the original angle

Step-by-step explanation:

Given that an angle is formed by the intersection of two rays, and that the ratio of the sides of a figure, before and after a dilation are the same, for an angle in a triangle we have, by sine rule;

a/(sin(α)) = b/(sin(β)) = c/(sin(γ))

Rearranging, gives;

a/b = (sin(α))/(sin(β))

Whereby for the dilation, we have;

a'/b' = (sin(α'))/(sin(β'))

We  have;

a/b = a'/b'

∴ (sin(α))/(sin(β)) = (sin(α'))/(sin(β'))

Similarly, we have;

(sin(β))/(sin(γ)) = (sin(β'))/(sin(γ'))

(sin(α))/(sin(γ)) = (sin(α'))/(sin(γ'))

Given that α, β, and γ, are less than 180°, we have

α = α'

∴ α ≅ α' by definition of congruency

β = β'

β ≅ β' by definition of congruency

γ = γ'

γ ≅ γ' by definition of congruency

Therefore; dilations of an angle must be congruent to original angle

Answer:

x = 24/5 - 2y/5

Step-by-step explanation:

Answer: B

Step-by-step explanation:

B is the correct one because the $50 is one time payment and the $24.50 gets charged every month

I think my answer is correct? Not so sure though haha

The values of a, b, c are 152°, 28°, 152° respectively.

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.

The sum of angles at a point will give 360°.

This means that a + b + c + 28 = 360

c +28 = 180° ( angle on a straight line)

c = 180 -28

c = 152°

c = a( alternate angles are equal)

therefore the value of a = 152°

b = 28( alternate angles are equal)

therefore the value of b is 28

therefore the values of a, b, c are 152°, 28°, 152° respectively

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Answer:

20% de 240=20×240÷100= 48 practican deporte

The equations of the tax amounts are y = 0.28x - 6021.75, y = 0.33x - 14249.25 and  y = 0.35x - 21403.25

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

The tax table

Using the tax table, we have the equation to be

y = Rate * amount (x) - Subtraction amount

Using the above as a guide, we have the following equations

y = 0.28x - 6021.75

y = 0.33x - 14249.25

y = 0.35x - 21403.25

The given table does not cover the 2000 tax rate schedule

So, the last equation cannot be calculated

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The effects of the transformations on the functions are given as follows:

When one function is multiplied by a negative number, the function is reflected, either over the x-axis or over the y-axis, depending on where the multiplication happened, hence:

In the context of this problem, in both cases, the function is being multiplied by a number that has absolute value between 0 and 1, which can either horizontally stretch the function, in the case of function f(kx), , or vertically compress, in the case of function kf(x).

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the cost of a wardrobe is approximately $850. Since the bed costs $250 more than the wardrobe, the cost of a bed would be approximately $850 + $250 = $1,100.

Let's assume the cost of a wardrobe is x dollars. Since the bed costs $250 more than the wardrobe, the cost of a bed would be x + $250.

According to the given information, the total cost of 4 beds and 3 wardrobes is $6,950. We can set up an equation to represent this:

4 * (x + $250) + 3 * x = $6,950

Simplifying the equation:

4x + $1,000 + 3x = $6,950

Combining like terms:

7x + $1,000 = $6,950

Subtracting $1,000 from both sides:

7x = $5,950

Dividing both sides by 7:

x ≈ $850

Therefore, the cost of a wardrobe is approximately $850. Since the bed costs $250 more than the wardrobe, the cost of a bed would be approximately $850 + $250 = $1,100.

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The average speed for the first part of the trip is 60 miles.

Given:

1st leg DATA:

distance = 120 miles ;

rate = x mph ;

time = d/r = 120/x hrs

2nd leg DATA:

distance = 220 miles ;

rate = x-5 mph ;

time = 220/(x-5) hrs

hence the equation we frame is:

Equation:

120/x + 220/(x-5) = 6

120(x-5) + 220x = 6x(x-5)

120x - 600 + 220x = 6x² - 30x

-6x² + 340x + 30x - 600 =0

-6x² + 370x - 600 = 0

-3x² - 185x + 300 = 0

(3x-5)(x-60)

3x = 5 or x-60=0

x = 5/3 or x = 60

hence x-5 = 60-5

= 55 miles per hour.

Hence we get the answer as 60 miles.

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Answer:

A

Step-by-step explanation:

DE is not the angle bisector, Line OC is the angle bisector. Answers B, C, and D are all correct.

The correct answer is A. 600 nautical miles is not the distance you will cover when traveling south along the 180° longitude from 5°N to 5°S. The correct distance is 0 nautical miles since the points are on the same line of longitude.

The distance traveled along a line of longitude can be calculated using the formula:

Distance = (Latitude 1 - Latitude 2) * (111.32 km per degree of latitude) / (1.852 km per nautical mile)

Given:

Latitude 1 = 5°N

Latitude 2 = 5°S

Substituting the values into the formula:

Distance = (5°N - 5°S) * (111.32 km/°) / (1.852 km/nm)

Converting the difference in latitude from degrees to minutes (1° = 60 minutes):

Distance = (0 minutes) * (111.32 km/°) / (1.852 km/nm)

Simplifying the equation:

Distance = 0 * 60 * (111.32 km/°) / (1.852 km/nm)

Distance = 0 nm

Therefore, traveling south along the 180° longitude from 5°N to 5°S, you will cover approximately 0 nautical miles.

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Answer:

The value of x = 1

Step-by-step explanation:

2x+3 = 5

=> 2x = 5-3

=> 2x = 2

=> x = 2/2

=> x = 1

Answer:

Step-by-step explanation:

In this question we are given with an equation that is 2x + 3 = 5 . And we are asked to find the value of x .

Solution : -

\( \longmapsto \qquad \: 2x + 3 = 5\)

Step 1 : Subtracting with 3 on both sides :

\( \longrightarrow \qquad \:2x + \cancel{ 3} - \cancel{3} = 5 - 3\)

On further calculations, We get :

\( \longrightarrow \qquad \:2x = 2\)

Step 2 : Dividing with 2 on both sides :

\( \longrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{2}{2} }\)

On calculating further, We get :

\( \longrightarrow \qquad \: \blue{\underline{\boxed{ \sf{x = 1}}}} \quad \bigstar\)

Verifying : -

Now we are checking our answer by substituting value of x in the given equation . So ,

Therefore , our answer is correct .

Answer:

Step-by-step explanation:

option a is correct sum of two angles is 90°
2b-15=a
then a+b=90
=>2b-15+b=90
=>3b=105

=>b=35°

>PLEASE MARK ME AS BRAINLEST ANSWER

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

75 degrees

Step-by-step explanation:

on the long line that goes out to 132 is a supplementary line so that means the angle next to 132 will make the line equal 180

180 - 132 = 48

so now we know the inside angles are 48 and 57

A triangle has 180 degrees in it so

x + 48 + 57 = 180

x + 105 = 180

x = 75

The individuals in this set are C) Basketball players

This is because it's listing all the player names with their associated stats.

====================================================

The data contains B) 3 variables, 2 of which are quantitative

The variables are

The first two variables are quantitative as they deal with numeric values, and it makes sense to do things like find the average. The last variable is qualitative. It is also an ordinal variable because we can order the labels from freshman to senior.

This data on the statistics from the basketball game contains 3 variables, 2 of which is quantitative.

A quantitative variable is a variable that can be used to show the degree of magnitude. This means that quantitative variables can be represented with numbers.

The quantitative variables are free throw percentage and the number of assists.

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Step-by-step explanation:

Radius simply means half of the diameter. In other words radius is the distance between the center of the circle to the outside of the circle

Answer:

2 hours and 24 minutes.

This question is dealing with rates. Rates are just to show a measure of what we are to use, give or pay e.t.c per time as the case may be.

Britt needs to work 50 hours each month to accomplish her goal.

She wants to make $4,000 and she makes $8 per hour.

This means, amount of hours she need to make $4,000 is;

4000/8 = 500 hours

Since she wants this money over 10 months, it means every month she needs to work; 500/10 = 50 hours per month.

In conclusion, britt needs to work 50 hours each month to accomplish her goal.

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Answer: $4.29?

Step-by-step explanation:

3 pack /3 = $12.88 /3

1 pack = 4 22/75 or approx $4.29

Researchers are experimenting with various techniques for preventing the accumulation in the water of high levels of nitrogen, which can kill plants and animals.

A person performing research is known as a researcher, and they may have a formal work title to indicate this. Social scientists or scientists in the natural sciences work as researchers. One needs to have in-depth knowledge of the social science field in which they have chosen to focus in order to be a social researcher or social scientist. Similarly, someone who wants to work as a researcher in the subject of natural science needs to be knowledgeable in that field (Physics, Chemistry, Biology, Astronomy, Zoology and so on).

Other terms that could be used to describe a researcher include researcher (horse), racehorse, researcher (R103), and an American oceanographic research vessel.

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The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

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The measure of each angle are

The fundamental characteristics listed below make it simple to recognise parallel lines.

Given:

<4 = 134

So, <4 = <2 = 134 (Vertical opposite angle)

<4= <8= 134 (Corresponding Angle)

<1 + <4 = 180 (Linear Pair)

<1 = 180-134

<1 = 46

<1 = <3= 46 (Vertical opposite angle)

<2= <6= 164 (Corresponding Angle)

<3= <7 (Corresponding Angle)

<1= <5 (Corresponding Angle)

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There are a few corrections that need to be made in the question you have provided. Firstly, it is not clear what is meant by "fin by drecerbay" and "por do all reapeds".

Secondly, there are some missing numbers and symbols in the chemical equation provided.

Lastly, it is not clear what is meant by "converting from OH to BR can you use a different reactions " Without proper context, it is difficult to provide a comprehensive answer.

However, I will try to provide a general explanation of converting OH to BR and the use of different reactions. Converting OH to BR involves replacing a hydroxyl group (-OH) with a bromine atom (-Br) in a molecule.

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Heather must score approximately 42.99 on the final exam to achieve a final grade of 90 on the 70,80,90 scale.

To determine Heather's required score on the final exam, we need to calculate the average of her scores so far and find the difference between the average and the desired final grade. In this case, since the exams are equally weighted, the average is simply the sum of her scores divided by 3. The required final exam score can be found by multiplying the difference by 3 and subtracting it from the desired grade on the 70,80,90 scale. Heather's average score is calculated by adding her three exam scores (91 + 81 + 85 = 257) and dividing the sum by 3 (257/3 = 85.67). Since the exams are equally weighted, this average represents her overall grade so far.

To determine Heather's required score on the final exam, we calculate the difference between her average and the desired grade on the 70,80,90 scale. Let's assume the desired grade is 'D' on this scale, which corresponds to 70. The difference is then 85.67 - 70 = 15.67.

Since the exams are equally weighted, Heather needs to make up for the difference on the final exam. Multiplying the difference by 3 gives us 15.67 * 3 = 47.01. Subtracting this value from the desired grade of 90 on the 70,80,90 scale gives us 90 - 47.01 = 42.99.

Therefore, Heather must score approximately 42.99 on the final exam to achieve a final grade of 90 on the 70,80,90 scale.

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