Select the GCF of these numbers. 48 and 60 22 ·3 2· 112 32 23 · 5 13· 193 ·232

angle measure | rotation

0                               0

π/6                          1/12

π/4                         1/8

π/2                          1/4

2π/3                        1/3

π                             1/2

3π/2                        3/4

2π                             1

An angle is a measure of the amount of turn between two lines or rays that share a common endpoint. The unit of measure for angles is usually degrees, but radians and gradians are also used.

Since 2π radian corresponds to 1 full rotation. We can say:

π/6 radian = π/6 * 1/2π = 1/12 rotation

1/8 rotation = 1/8 * 2π = π/4 radian

1/6 rotation = 1/6 * 2π = π/3 radian

π/2 radian = π/2 * 1/2π = 1/4 rotation

2π/3 radian = 2π/3 * 1/2π = 1/3 rotation

1/2 rotation = 1/2 * 2π = π radian

3π/2 radian = 3π/2  * 1/2π = 3/4 rotation

1 rotation = 2π radian

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It is necessary to solve for the unknown variable in a given equation for a measurement of a side or an angle in congruent triangles.

In general, it is necessary to solve for the unknown variable in a given equation for a measurement of a side or an angle in congruent triangles. This is because the properties of congruent triangles rely on corresponding angles and sides being equal in measure, and in order to determine the measure of a side or angle, we need to know the value of the unknown variable.

For example, if we have two triangles that we know are congruent, we can use corresponding side lengths or angles to set up equations that relate them. However, in order to solve for an unknown side or angle, we would need to isolate that variable by solving the equation.

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Mia's total distance driven is given by the function C(m) = 55m, where m represents the number of hours she has been driving, and the common difference is not applicable in this context.

In this scenario, Mia is driving at a constant speed of 55 miles per hour. We can represent the total distance driven, denoted as "C(m)," using a function where "m" represents the number of hours Mia has been driving.

The function C(m) = 55m indicates that the total miles driven is equal to 55 times the number of hours Mia has been driving.

For example, if Mia drives for 2 hours, we can calculate the total distance driven by substituting m = 2 into the function:

C(2) = 55 \(\times\) 2 = 110 miles.

This means that after driving for 2 hours, Mia would have covered a distance of 110 miles.

The common difference mentioned in the question seems to be unrelated to this scenario.

In the context of arithmetic sequences or series, the common difference represents the constant amount by which each term in the sequence increases or decreases.

However, in the given scenario, there is no sequence mentioned, so the concept of a common difference does not apply.

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Data analysis is the process of examining and interpreting data to extract meaningful insights.

Variables are characteristics or attributes that can change or take on different values in a study. Single source refers to data that comes from only one source.
One reason to perform additional research on correlations found through data analysis is that there may not be an actual cause and effect relationship between the correlated variables. Correlation does not necessarily imply causation, and further research can help to determine whether there is a causal relationship between the variables. Additionally, a single source may not provide enough data for a conclusion, and further research can help to increase the sample size and improve the generalizability of the results. Finally, conducting additional research can help to understand the relationship between the variables more fully, potentially revealing new insights and implications for the study.
One reason to perform additional research on correlations found through data analysis is that there may not be an actual cause-and-effect relationship between the correlated variables. A single source may not provide enough data for a solid conclusion, and further research can help to better understand the relationship between the variables, confirming or refuting the initial findings. This process can help ensure the validity and reliability of the results obtained from the initial data analysis.

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To find Q1 and Q3, you must first arrange the data in numerical order. Once the data is in order, you will need to determine the median of the data set.

To calculate the median, count the total number of data points, divide it by two, and round down to the nearest whole number under numerical order. This number will be the median.Q1 is the median of the lower half of the data set, while Q3 is the median of the upper half of the data set. To calculate these, divide the data set into two halves, calculate the median of each half, and then take the median of those two numbers.

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Kirk would have paid $13,900 more for damages than what he had invested in his insurance policy if he did not have automobile insurance.

The amount that Kirk would have paid for damages than what he had invested in his insurance policy if he did not have automobile insurance can be determine as follows. Hence,

1. Calculate the total amount Kirk paid in insurance premiums over 8 years:

$1,075 * 8 = $8,600

2. Determine the total value of the car that was totaled:

$22,500

3. Subtract the total amount Kirk paid in insurance premiums from the value of the totaled car:

$22,500 - $8,600 = $13,900

Kirk would have paid $13,900 more for damages.

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The length of the original piece of fabric, given the proportion cut by Yu Yan and the amount cut in total, is 75 .75 inches

Assume that the original length of fabric was denoted as x, this means that the first cutting by Yu Yan took out :

= 1 / 3 x

The equation would then be :

x - 1 / 3 x - 10 - 5 = 35 + 1 / 2

x - 1 / 3 x - 10 - 5 = 35 . 5

The length of the original fabric is:

2 / 3x  = 35. 5 + 10 + 5

x = 50. 5 ÷ 2 / 3

x = 50. 5 x 3 / 2

x = 75 .75 inches

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Answer:

Greatest To Least

1/8 , 0.375 , 2/5 , 0.42

1/8 = 0.125

0.375 = 0.375

2/5 = 0.4

0.42 = 0.42

( I don't know if you were asking to do least to greatest or just the greatest but here you go. )

Hope this helps! <3

Answer:

Step-by-step explanation:

Multiply the constants and the variables

(4*5)(x*y) = 20xy

Answer:

C

Step-by-step explanation:

point-slope equation is y-y1=m(x-x1)

y1=2

x1=6

m=(-5/7)

so the equation is y-2=-5/7(x-6)

hope this helps :3

Answer:

2 books an hour

Step-by-step explanation:

Answer:

she can read 2 books in an hour.hope help

Step-by-step explanation:

Answer: add 1 to both sides

             -1+r+1≥4+1

              simplify

               x≥5

Step-by-step explanation:

The present value of a four-period annuity of $200 per year, begins two years from today, can be calculated using the present value of an annuity formula.With a discount rate of 9%, the present value approx $703.30.

To calculate the present value of the annuity, we use the formula PV = C * [1 - (1 + r)^(-n)] / r, where PV represents the present value, C is the cash flow per period, r is the discount rate, and n is the number of periods.

In this case, C = $200, r = 9% (0.09 as a decimal), and n = 4. We substitute these values into the formula: PV = $200 * [1 - (1 + 0.09)^(-4)] / 0.09.

Next, we simplify the formula: PV = $200 * [1 - 0.683013455] / 0.09.

Evaluating the expression inside the brackets, we have PV = $200 * 0.316986545 / 0.09.

Performing the division, we find that the present value is approximately $703.30.

Therefore, the present value of the four-period annuity is approximately $703.30 when the discount rate is 9%.

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Answer:

\(r = -2\)

Step-by-step explanation:

Given

\(-2.5 < r < 7\)

Required

Determine the smallest value or r

For an inequality \(a < r < b\)

The smallest value is represented as:

\(r>a\)

In this case:

\(a = -2.5\)

\(b = 7\)

So:

\(r>a\) becomes

\(r > -2.5\)

r > -2.5 implies that the value of r is greater than -2.5

The smallest integer value after -2.5 is -2

Hence, the smallest value of r in this case is:

\(r = -2\)

Answer:

the ball reaches a height of 64 feet after 2 sec.

The ball is in the air 4 sec.

Step-by-step explanation:

The ball is following the path of a parabola.  The maximum height is at the vertex of the parabola.

Let (h, k) be the vertex.  h will be the time it takes to reach the maximum height, and k will be that height.

y = \(-16t^{2} + 64t\)

h = -b/2a = 64/(-2)(-16) = 64/32 = 2

k = -16(2)^2 + 64(2)

     -16(4) + 128

     - 64 + 128 = 64

V:  (2, 64)

So the ball reaches a height of 64 feet after 2 sec.

Let \(-16t^{2} + 64t\) = 0       (0 is the height when the balls hits the ground)

-16t(t - 4) = 0

t = 0  or t = 4

The ball is in the air 4 sec.

Answer:

A is the correct answer. x = 3.

Step-by-step explanation:

\( {49}^{x + 4} = {7}^{5x - 1} \)

\( {7}^{2(x + 4)} = {7}^{5x - 1} \)

\(2x + 8 = 5x - 1\)

\(3x = 9\)

\(x = 3\)

Answer: the answer is D = 210cm

Answer:

D.

Step-by-step explanation:

10 - 2 - 4 - 2 - 1 since he went to dump all those so you have to subtract them from the original amount.

The grid among the answer choices which is shaded 1 : 1/3 is; Choice A.

It follows from the task content that the ratio of red to blue in each grid is as follows;

On this note, it therefore follows that the grid with the required ratio is Choice A.

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Answer:

What part do you need help with? Is there a specific problem?

Step-by-step explanation:

Composite functions are functions derived from combining other functions

The values of the composite functions are \((f + g)(2) = -3\) and \((f - g)(2) = 41\)

The single functions are given as:

\(f(x) =11 + 2x^2\)

\(g(x) = -7x - 3x^2 + 4\)

To calculate (f + g)(x), we make use of

\((f + g)(x) = f(x) + g(x)\)

So, we have:

\((f + g)(x) = 11 + 2x^2 - 7x - 3x^2 + 4\)

Collect the like terms

\((f + g)(x) = 2x^2- 3x^2 - 7x + 4+11\)

Evaluate

\((f + g)(x) = - x^2 - 7x + 15\)

Substitute 2 for x

\((f + g)(2) = - 2^2 - 7(2) + 15\)

\((f + g)(2) = -3\)

To calculate (f - g)(x), we make use of

\((f + g)(x) = f(x) - g(x)\)

So, we have:

\((f - g)(x) = 11 + 2x^2 + 7x + 3x^2 - 4\)

Collect the like terms

\((f - g)(x) = 2x^2 + 3x^2+ 7x - 4 + 11\)

Evaluate

\((f - g)(x) = 5x^2+ 7x +7\)

Substitute 2 for x

\((f - g)(2) = 5 * 2^2+ 7* 2 +7\)

\((f - g)(2) = 41\)

Hence, the values of the composite functions are \((f + g)(2) = -3\) and \((f - g)(2) = 41\)

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The value of f(x) - g(x) and f(x) + g(x) are 52 and 0

Given the following function expressed as:

f(x) = 11x + 2x^2 and;

g (x) = -7x - 3x^2 + 4

Taking the sum of the function

f(x) + g(x) = 11x + 2x^2  -7x - 3x^2 + 4

f(x) + g(x) = -x^2 + 4x + 4

If x = 2,

f(x) + g(x) = -4 + 8 + 4

f(x) + g(x)  = 0

For the difference;

f(x) - g(x) = 11x + 2x^2 + 7x + 3x^2 - 4

f(x) - g(x) = 5x^2 + 18x - 4

If x = 2,

f(x) - g(x) = 5(4) + 36 - 4

f(x) - g(x)  = 52

Hence the value of f(x) - g(x) and f(x) + g(x) are 52 and 0

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The expected gain or loss of an experiment over the long run is called the expected value.

The expected value is the weighted average of all possible outcomes, where the weights are the probabilities of those outcomes occurring. It is calculated by multiplying each possible outcome by its probability of occurring and then adding up these products. The expected value can be used to make decisions and assess risk in various fields, including finance, economics, and gambling. If the expected value is positive, it means that, on average, the experiment will result in a gain, while a negative expected value indicates a loss.

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corresponding (option D)

Since the lines are parallel and a tranversal line cuts the two lines:

The angle 2 at the top of the first line correspods to angle 6 at the top of the second line.

Angle 2 and angle 6 are equal.

Hence. we say angle 2 and angle 6 are corresponding angles (option D)

Answer:

x + 2 + 3x + 2x + 1 + 4x - 6

10x -3 (that's the expression)

Step-by-step explanation:

just add all the laps together

Problem Statement

The question asks us to multiply the following expression:

Method

To multiply this expression, we shall apply the FOIL method. This method is illustrated below:

First (F) - This implies that we should multiply the "first" values of both brackets; a and c.

Outside (O) - This implies that we should multiply the

⇒ a^{2} - 4a +3

(\(a\) X \(a\) )- (\(a\) X 3) - (1 X \(a\)) + (1 X 3) ⇒ \(a^{2}\) - 3\(a\) - \(a\) + 3

so, the answer is a^2 -4a+ 3.

The answer is in the form of a Quadratic Equation.

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