In △RST , the measures of angles R , S , and T , respectively, are in the ratio 4:4:8. Find the measure of each angle.

Since the translation is 8 units right and 4 units down, we have to add 8 to the x coordinate and subtract 4 to the y coordinate.

R=(-2,1)

R' = (-2+8,1-4)= (6,-3)

R' = (6,-3)

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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ZW is 37 units long. By subtracting the length of WY, which is found to be -1, from ZW, we found that ZY is 38 units long. However, the lengths of TX and WY are negative, suggesting a potential error in the given information.

In the given figure, we are provided with the lengths of various line segments. Using this information, we can determine the length of ZW. Given that XY = 15 and ZX = 52, we can subtract the length of XY from ZX to find the length of ZW. Therefore, ZW = ZX - XY = 52 - 15 = 37.

Now let's provide a detailed explanation of each length:

ZY = 37

To find the length of ZY, we need to subtract the length of WY from ZW. From the previous calculation, we know that ZW = 37. However, the length of WY is not given directly. To find it, we can use the fact that WX = 22 and WT = 23. Since WY is a part of WX and WT, we can subtract WT from WX to get WY. Therefore, WY = WX - WT = 22 - 23 = -1.

Now, we can substitute the value of WY into the equation for ZY: ZY = ZW - WY = 37 - (-1) = 38. Thus, ZY is equal to 38.

TX = 15

To find the length of TX, we need to subtract the length of WT from XY. We know that XY = 15 and WT = 23. Therefore, TX = XY - WT = 15 - 23 = -8. However, it is important to note that lengths cannot be negative, so TX cannot be -8. This indicates that there might be an error in the given information or measurements.

WY = -1

As calculated earlier, the length of WY is -1. However, it is important to note that lengths cannot be negative in a geometrical context. Therefore, we can conclude that there might be an error in the given information or measurements. It is advisable to double-check the given lengths or clarify any inconsistencies before proceeding with further calculations.

In summary, using the given information, we determined that ZW is 37 units long. By subtracting the length of WY, which is found to be -1, from ZW, we found that ZY is 38 units long. However, the lengths of TX and WY are negative, suggesting a potential error in the given information. It is recommended to verify the measurements to ensure accurate results.

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Answer:

Angle covered by the hour  hand = 60°

Step-by-step explanation:

Numbers mentioned on an analogue clock = 12

Number of sectors between two numbers = 1

Angle between two numbers or 1 sector = \(\frac{360^0}{\text{Total numbers on the clock}}\)

                                                                    = \(\frac{360^0}{12}\)

                                                                    = \(30^0\)

If the hour hand moves clockwise from 3 to 5, sectors covered = 2

Therefore, angle between two sectors = 2 × 30°

                                                                = 60°

Angle covered by the hour  hand = 60°

Answer:

82.758620689655

Step-by-step explanation:

48/0.58=82.758620689655

The radius of the oatmeal container is 0.2 inches.

The surface area of the plastic is 0.08π square inches

The base and lid are made of plastic and have a radius of R.

The base and lid have a combined surface area of:

πr² + πr² = 2πr² square inches

The total surface area of the oatmeal container is 40 square inches.

The surface area of the cardboard is 16πr square inches and the surface area of the plastic is 2πr² square inches.

Thus, we have the equation:

40 = 16πr + 2πr²

We can solve for R as follows:

16πr + 2πr² = 40

2πr^2 + 16πr - 40 = 0

2πr^2 + 20πr - 4πr - 40 = 0

20r(πr + 2) - 4(πr + 2) = 0

(20r - 4)(πr + 2) = 0

20r - 4 = 0 or πr + 2 = 0

20r = 4 or πr = -2

r = 0.2

Thus, the radius of the oatmeal container is 0.2 inches.

The surface area of the plastic is 2πr² = 2π(0.2)² = 0.08π square inches

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The area of the rear tire of the tractor is A = 201.1 feet²

Given data ,

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

Given that the radius of the tractor tire is 8 feet, we can substitute this value into the formula to calculate the area:

A = π(8²)

Using the value of π as approximately 3.14159265359

A ≈ 3.14159265359 x (8²)

A = 3.14159265359 x 64

A ≈ 201.061929829746

Rounding to the nearest tenth, we get:

A ≈ 201.1 feet²

Hence , the area of the tractor tire is approximately 201.1 feet²

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9514 1404 393

Answer:

  c = 2A/w -b

Step-by-step explanation:

Multiply by the inverse of the coefficient of the parentheses.

  \(A=\dfrac{w}{2}(b+c)\\\\\dfrac{2A}{w}=b+c\\\\\boxed{c=\dfrac{2A}{w}-b} \qquad\text{subtract $b$}\)

Answer:

40

Step-by-step explanation:

5(a+5)

Let a =3

5(3+5)

Parentheses first

5(8)

Multiply

40

Answer:

40

Step-by-step explanation:

5(a+5)

5(3+5)

5(8)

40

Answer:

D

Step-by-step explanation:

vlkewruiiifhklwe

Answer:

Step-by-step explanation:

ok, so this is an infinitly repeating function, so you can write it as:

sqrt(12-x)

Although, x is also equal to sqrt(12-x), so

x = sqrt(12-x), and

x^2 = 12-x

x^2-12+x = 0

now just apply the quadratic formula and you're good

hope i helped :D

Answer:

5+6.50h

Step-by-step explanation:

5 dollars is what he will get every time and he charges 6.50 an hour so you would add that up (5+6.50) and then multiply 6.50 times h (number of hours).

Answer:

a) -64

0

b) 5

- 5

Step-by-step explanation:

Up square: Multiply the numbers in the right square and left square and write the answer in the up square.

Down square: Add the numbers in the right square and left square and write the answer in the down square.

Left and right square: Factorize the number in the up square and check if it satisfies (add or subtract the factors) the number in the down square.

a) Up square:  -64

                8*(-8) = -64

Down square:  0

            8 + (-8) = 0

b)  Factorize (-25), in such a way that when we add we should get 0.

  -25 = 5 * (-5)

5 + (-5) = 0

Right square:  5

Left square :   -5

c) Right square:   (-3)

       -12 ÷ 4 = (-3)

Down square :  1

   4 + (-3) = 1

\(\sf d) up \ square: \dfrac{-1}{6}\\\\\)

      \(\sf \dfrac{1}{2}*\dfrac{-1}{3}=\dfrac{-1*1}{2*3}=\dfrac{-1}{3}\\\\\\Down \ square : \dfrac{1}{6}\\\\\\\dfrac{1}{2}+\dfrac{-1}{3}=\dfrac{1*3}{2*3}+\dfrac{-1*2}{3*2}\)

                     \(\sf = \dfrac{3}{6}+\dfrac{-2}{6}\\\\=\dfrac{3 + (-2)}{6}\\\\=\dfrac{1}{6}\)

The dependent variable in this study is the incidence of aggressive behavior displayed by the children during the period of free play.

The dependent variable is the outcome that is being measured and observed based on the independent variable, which in this scenario is the type of television program watched (violent or nonviolent). By observing and recording the incidence of aggressive behavior in each group, the researcher can determine if exposure to violent television programs has an effect on children's behavior. In this study, the dependent variable is essential to determining if there is a significant difference between the groups, and it allows for the researcher to draw conclusions about the relationship between exposure to violent television and aggressive behavior in children. In this scenario, the dependent variable is the incidence of aggressive behavior observed in the children during the period of free play. The dependent variable is the outcome or response that is measured in a study, and it is influenced by the independent variable(s). In this case, the independent variables are the type of television program (violent or nonviolent) and the gender of the participants (boys and girls). The researcher is investigating the relationship between exposure to violent or nonviolent television content and the occurrence of aggressive behavior among boys and girls.

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Using the binomial distribution, it is found that there is a 0.25 = 25% probability of getting exactly 3 tails.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability of getting 3 tails is P(X = 3), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25\)

0.25 = 25% probability of getting exactly 3 tails.

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9/10 mile = 5 min

9/10 ÷ 5 mile = 1 min

9/10 × 1/5 mile = 1 min

9/50 mile = 1 min

We are asked to find an equivalent amount to 100 USD in french francs. Acording to the table, on tuesday, a dollar costs 4.3450 french francs, then we can find how many francs we got by multiplying 100 USD and 4.345, then we get:

Francs = 100×4.3450 = 434.50

Then, the answer is 434.5 french francs

Answer:

−3.3

Step-by-step explanation:

Simplify the expression.

You have the following sentence:

triangle ABC is right triangle, so angle ∠A measures 90°

In order to find a counterexample of the previous sentence, you simply determine which of the given triangle is a right triangle in which the measure of angle ∠A is not 90°.

You can notice that the option B is a right traingle where the angle A does not measure 90°, otherwise, angle ∠B measures 90°

Life in the neighborhood depicted in the film "Los Olvidados" is characterized by challenging economic and social conditions.

The neighborhood in "Los Olvidados" is portrayed as a poverty-stricken area where the residents struggle to make ends meet. The film explores the lives of marginalized individuals most particularly young boys, who are caught in a cycle of poverty, violence, and neglect.

The economic conditions in the neighborhood are harsh, with limited opportunities for employment and a lack of access to basic necessities. As a result, the residents are often forced into criminal activities to survive leading to a high level of violence and crime within the community.

Moreover, the social conditions exacerbate the challenges faced by the neighborhood. There is a sense of abandonment and neglect from the government and wider society with little support or resources available to address the issues faced by the residents.

Full question:

Describes life in the neighborhood that takes place in the film Los Olvidados by Luis Buñuel, taking into account their economic and social conditions through the different activities carried out by the neighborhoods.

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Answer: 105 = WXZ

Step-by-step explanation:

180 = WXZ + 75

subtract both sides by 75 and you get WXZ is equal to 105

I'm not 100% sure, lmk if I'm wrong

Since x lies in the third quadrant, sec x is negative.Therefore, sin x = √2 / 2, tan x = -1, and sec x = -√2, in simplest form.

Question 12: Part A: Determine the reference angle of x. (4 points)The reference angle of x is that angle in the range [0, 90°) that is formed by the terminal side of x when x is in standard position. It can be found by subtracting the multiple of 360° that brings the angle into the range [0, 360°) from the given angle, then taking the absolute value of the result.θr = |θ - 360°n|, where n is an integer that makes θr a positive angle, and θ is the given angleIn this case, the given angle x = -135° is in the third quadrant, and it lies 45° short of the fourth quadrant.

Therefore, we will add 360° to x and take the absolute value of the result to find the reference angle:θr = |(-135°) + 360°| = 225°Therefore, the reference angle of x is 225°.Part B: Find the exact values of sin x, tan x, and sec x in simplest form. (6 points)We have x = -135°, and we need to find the values of sin x, tan x, and sec x.Sin x = sin(-135°) = -√2 / 2. Since x lies in the third quadrant, sin x is negative, and we can find its value using the reference angle 225°:sin x = -sin(225°) = -(-√2 / 2) = √2 / 2.Tan x = tan(-135°) = -1. Since x lies in the third quadrant, tan x is negative.Sec x = sec(-135°) = -√2.

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I think just only A is the correct answer

Answer:

29

Step-by-step explanation:

to get from -16 to -7 you have to add 9

to get from -7 to 2 you have to add 9

to get from 2 to 11 you have to add 9

and the same thing for 11 to 20

Answer: The answer

is  29 because the pattern of the number is 999999

Step-by-step explanation:

Answer:

Step-by-step explanation:

start the line from the 75 going to the 80. thats where you put the line on the thing. and im not sure with the 2nd one look it up or find someone to help u:)

Answer:

\( \frac{3}{x - 1} - \frac{4}{2 } - \frac{2}{x - 1} \\ = \frac{(3 - 2)}{x - 1} - 2 \\ = \frac{1}{x - 1} - 2 \\ = \frac{1 - 2x + 2}{x - 1} \\ = \frac{3 - 2x}{x - 1} \)

The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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Bahama Foods sets the selling price per unit at $39.50, which allows them to cover both their fixed costs and variable costs per unit.

To find the selling price per unit at Bahama Foods, we need to consider the break-even point, fixed costs, and variable costs.

The break-even point represents the level of sales at which total revenue equals total costs, resulting in zero profit or loss. In this case, the break-even point is given as 1,600 units.

Fixed costs are costs that do not vary with the level of production or sales. Here, the fixed costs are stated to be $44,000.

Variable costs, on the other hand, are costs that change in proportion to the level of production or sales. It is mentioned that the variable cost per unit is $12.

To determine the selling price per unit, we can use the formula:

Selling Price per Unit = (Fixed Costs + Variable Costs) / Break-even Point

Substituting the given values:

Selling Price per Unit = ($44,000 + ($12 * 1,600)) / 1,600

= ($44,000 + $19,200) / 1,600

= $63,200 / 1,600

= $39.50

Therefore, the selling price per unit at Bahama Foods is $39.50.

This means that in order to cover both the fixed costs and variable costs, Bahama Foods needs to sell each unit at a price of $39.50.

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Answer:

    21. £10

    22. £75

    23. £50

    24. £250

Step-by-step explanation:

Rate: 1.46 euros per £1

Q21

Q22

Q23

Q24

Answer:

21.  £10

22.  £75

23.  £50

24.  £250

Step-by-step explanation:

Exchange rate:

£1 = ∈1.46

To convert from euros to pounds, divide the euros by 1.46

To convert from pounds to euros, multiply the pounds by 1.46

Question 21

14.60 euros = 14.60 ÷ 1.46 = £10

Question 22

109.50 euros = 109.50 ÷ 1.46 = £75

Question 23

73 euros = 73 ÷ 1.46 = £50

Question 24

365 euros = 365 ÷ 1.46 = £250