Find the perimeter of the triangle.​

well, let's notice, hmmm a circle has 360°, and that one above is shaded but 90°, so that means the shaded area is really 270° of the circle whose radius is 6.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=6\\ \theta =270 \end{cases}\implies A=\cfrac{(270)\pi (6)^2}{360}\implies A=27\pi\)

Step-by-step explanation:

\( \frac{ \sin(A) }{1 - \cos(A) } = \frac{ \sin(A)(1 + \cos(A) ) }{( {1}^{2} + { \cos }^{2}A) } \\ = \frac{\sin(A) + \sin(A) \cos(A) }{1 - \cos ^{2} (A) } \\ = \frac{\sin(A) + \sin(A) \cos(A) }{ \sin ^{2} (A) } \\ = \frac{1 + \cos(A) }{ \sin(A) } \\ for \: half \: angles \\ = \frac{1 + (2 \cos ^{2} ( \frac{A}{2} ) - 1)}{2 \sin( \frac{A}{2}) \cos( \frac{A}{2} ) } \\ = \frac{ { \cos }^{2} \frac{A}{2} }{ \sin( \frac{A}{2} ) \cos( \frac{A}{2} ) } \\ = \frac{ \cos( \frac{A}{2} ) }{ \sin( \frac{A}{2} ) } \\ = \cot( \frac{A}{2} ) \)

Answer:

x = 9

Step-by-step explanation:

if three or more parallel lines are intersected by two or more transversals, the parallel lines divide the transversals proportionally , that is

\(\frac{3}{x}\) = \(\frac{2.5}{7.5}\) = \(\frac{1}{3}\) ( cross- multiply )

x = 3 × 3 = 9

Answer: C. It illustrates the resistance of the median.

Answer:

Step-by-step explanation:

area of rectangle=length*width

=17 cm*9 cm

=1323 cm^2

perimeter of rectangle=2(l+w)

=2(17+9)

=2*26

=52 cm

area of square=l^2

=12^2

=144 m^2

perimeter of sqaure=4l

=4*12

=48 m

Answer:

see explanation

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = lb ( l is length, b is breadth )

The perimeter (P) is the sum of the 4 sides

(a)

A = 9 × 17 = 153 cm²

Since opposite sides are congruent, then

P = 2(9 + 17)

  = 2 × 26

  = 52 cm

-------------------------------------------------------------------

(b)

A =  12 × 12 = 144 m²

P = 4 × 12 = 48 m

Answer:

5/18

Step-by-step explanation:

The total number of horses present is 9

The probability that the first selected horse is tan is 4/9

So , now for the second choice , we are left with 8 total horses of which 5 is brown

The probability is 5/8

So the joint probability is the product of this two

That will be;

5/8 * 4/9 = 5/18

When coding responses to survey questions, it is true that researchers begin by assigning numerical values to general categorical variables. They should also avoid assigning a coded value to missing data. However, it is not accurate to say that coding increases the difficulty of subsequent data analysis.

Additionally, for open-ended questions, it is beneficial to have a coding process prepared before collecting data, and the consolidation of responses is typically a later phase in the coding process.

The process of coding survey responses involves converting qualitative data into quantitative form for analysis. Researchers often start by assigning numerical values to general categorical variables. This allows for easier manipulation and analysis of the data. However, it is important to note that researchers should not assign a coded value to missing data. Instead, missing data should be identified separately to avoid any potential bias in the analysis.

Contrary to the statement, coding does not necessarily increase the difficulty of subsequent data analysis. In fact, coding can facilitate the analysis by enabling data transformation, grouping, and statistical calculations. It provides a structured format for data analysis and can help identify patterns and relationships.

For open-ended questions, it is recommended to have a coding process prepared before collecting data. This involves developing a coding scheme or set of categories that capture the range of possible responses. The coding process may involve multiple phases, and the consolidation of similar or related responses usually occurs at a later stage.

In summary, while the coding process does involve assigning numerical values to categorical variables and requires preparation for open-ended questions, it does not inherently increase the difficulty of subsequent data analysis. Additionally, avoiding coded values for missing data and consolidating responses are important considerations in the coding process.

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The independent variable in this experiment is the highly nutritious supplement.

The independent variable in this experiment is the highly nutritious supplement. The teacher is manipulating this variable by providing it to one group while not providing it to the other group. The dependent variable is the academic performance of the students. The teacher measures the performance of the students to see how it changes depending on whether or not they are given the supplement. The two groups of students and the same diet are controlled variables – variables that are kept the same, as they are not directly related to the experiment and the related hypothesized effect.

Therefore, the independent variable in this experiment is the highly nutritious supplement.

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The number of fish caught by Ashraf and Khalid by solving the equation formed is 39 and 30 respectively.

What is the Substitution method for solving equations?

In a system of linear equations to solve, we have N variables and N equations between them to solve. In substitution, we represent one variable in terms of another and replace it in the equation to convert it to a 1-variable equation and solve it.

a) Given, the number of fishes caught by Ashraf is "x" and by Khalid is "y".

As the total number of fish caught is 69, the equation is :

              \(x + y = 69\)

b) It is stated in the question that the number of fish caught by Ashraf i.e. x is 30% more than that caught by Khalid i.e. y.

The equation formed is :

           x = 30% greater than y

               \(= y + 30y/100\)

               \(= (100+30)y/100\)

               \(= 13y/10\)

Hence, the equation is : \(10x = 13y\)

c) Here, we have 2 equations and 2 variables. We use the substitution method to find the values of the variables :

                   \(y + 13y/10 = 69\)

                   \((10+13)y/10 = 69\)

                    \(23y/10 = 69\)

                    \(y = 69 * 10 /23\)

                     \(y = 30\)

Putting the value of y in the first equation :

                  \(x + 30 = 69\)

                  \(x = 39\)

Hence, the number of fish caught by Ashraf is 39, and by Khalid is 30.

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The points on the curve where the tangent is horizontal: (1, 0) & (-1, 0),  and where the tangent is vertical: (0, 1) & (0, -1)

To find the points on the curve x=cos(theta) where the tangent is horizontal or vertical, we need to find the derivative of x with respect to theta.

Taking the derivative of x with respect to theta, we get:

dx/dtheta = -sin(theta)

When the tangent is horizontal, the derivative is equal to zero. So we need to solve the equation -sin(theta) = 0 for theta.

This equation is true when theta = n*pi, where n is an integer. So the points on the curve x=cos(theta) where the tangent is horizontal are:

(1, 0) for n=2k, where k is an integer

(-1, 0) for n=2k+1, where k is an integer

When the tangent is vertical, the derivative is undefined. This happens when cos(theta) = 0, which is true when theta = (2k+1)*pi/2, where k is an integer.

So the points on the curve x=cos(theta) where the tangent is vertical are:

(0, 1) for n=2k+1, where k is an integer

(0, -1) for n=2k, where k is an integer

Therefore, the points on the curve where the tangent is horizontal are (1, 0) and (-1, 0), and the points on the curve where the tangent is vertical are (0, 1) and (0, -1).

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Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Answer:

To simplify the expression (-3+1)+(-4-i), we can perform the addition operation within the parentheses first:

(-3+1)+(-4-i) = -2 + (-4-i)

Next, we can simplify the addition of -2 and -4 by adding their numerical values:

-2 + (-4-i) = -6 - i

Therefore, (-3+1)+(-4-i) simplifies to -6-i.

Step-by-step explanation:

Answer: A. 11 yards

Step-by-step explanation:

To find the distance between the bike rack at (-6, 1) and the bench at (5, 1), we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) is the coordinates of the bike rack and (x2, y2) is the coordinates of the bench.

Substituting the values, we get:

d = sqrt((5 - (-6))^2 + (1 - 1)^2)

d = sqrt((11)^2 + 0^2)

d = sqrt(121)

d = 11

Therefore, the distance between the bike rack and the bench is 11 yards. So, the correct answer is A.

Answer: 11 yards

Step-by-step explanation:

Answer:

Y=3x+5

Step-by-step explanation:

you can improve your algebra skills and build a strong foundation for success in higher-level math courses.

Sure, I can help you with algebra. Algebra is a branch of mathematics that deals with the study of mathematical symbols and rules that are used to represent and manipulate mathematical expressions and equations. Algebra is an important subject in math that builds the foundation for higher-level math concepts like calculus, geometry, and trigonometry. Below are some tips to help you improve your algebra skills:

1. Master the basics: The foundation of algebra is built on a strong understanding of basic math concepts like addition, subtraction, multiplication, and division. Make sure you have a strong grasp of these concepts before moving on to more complex algebraic equations.

2. Practice, practice, practice: The key to mastering algebra is practice. Do as many problems as you can and try to apply the concepts you learn to real-world problems.

3. Understand the formulas: Algebra is all about formulas. Make sure you understand how to apply the formulas correctly to solve problems.

4. Simplify equations: One of the most important skills in algebra is the ability to simplify equations. This involves combining like terms and using the distributive property to simplify equations.

5. Keep a positive attitude: Algebra can be challenging, but it's important to stay positive and keep trying. Don't get discouraged if you don't understand something right away. Keep practicing and seeking help if needed.

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The final answer for the expression \((5^3 + 2^2) + 20\) is 150.

The expression \((5^3 + 2^2) + 20\) can be simplified in three steps.

First, we calculate the exponents within parentheses: 5 cubed is equal to 5 multiplied by itself three times, which equals 125. 2 squared is equal to 2 multiplied by itself, resulting in 4.

Next, we add the results together: 125 + 4 equals 129.

Finally, we add 20 to the previous sum: 129 + 20 equals 150.

Therefore, the final answer to the expression \((5^3 + 2^2)\) + 20 is 150.

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please mark me as brainlest

Blue marbles: total marbles

Blue marbles= 8

red marbles = 6

Total number of marbles = 14

8: 14

Now, we can divide the ratio by 2

8:14 = 4:7

___________________

Answer

4 to 7

Answer:

for x: 4.5

for y:

1. 9

2. 27

Step-by-step explanation:

Each time you multiply by 3

Answer:

slope

Step-by-step explanation:

The slope is the rise divided by the run

Answer: The slope.

Step-by-step explanation: That's what I think.

Answer:

\( \boxed{c = -17} \)

Step-by-step explanation:

\( = > 3 - 7c - 20c = 7( - 7c - 19) + 14c \\ \\ = > 3 - 27c = ( - 7c \times 7) - (7 \times 19) + 14c \\ \\ = > 3 - 27c = - 49c - 133 + 14c \\ \\ = > 3 - 27c = - 35c - 133 \\ \\ = > 3 - 27c + 35c = - 133 \\ \\ = > 3 + 8c = - 133 \\ \\ = > 8c = - 133 - 3 \\ \\ = > 8c = - 136 \\ \\ = > c = - \frac{136}{8} \\ \\ = > c = - 17\)

Answer:

c = -17

Step-by-step explanation:

→Distribute the 7 to (-7c - 19):

3 - 7c - 20c = -49c - 133 + 14c

→Add like terms (-7c and -20c, -49c and 14c):

3 - 27c = -35c - 133

→Add 35c to both sides:

3 + 8c = -133

→Subtract 3 from both sides:

8c = -136

→Divide both sides by 8:

c = -17

The notation (fºg)(x) is used to represent the composition of functions f(x) and g(x), where g(x) is applied first, and the output of g(x) is then used as the input of f(x).

In this case, the function g(x) is defined as g(x) = x - 2, and the function f(x) is defined as f(x) = 2 * sqrt(x).

To find the domain of (fºg)(x), we need to consider the domain of g(x) such that the output of g(x) is a valid input for f(x). The function g(x) has a domain of all real numbers because any real number can be subtracted by 2.

Next, we need to consider the domain of f(x) such that the output of f(x) is defined. The square root function is only defined for non-negative real numbers, so the domain of f(x) is x >= 0.

Therefore, the domain of (fºg)(x) is the set of all real numbers such that x - 2 >= 0, or x >= 2. In interval notation, the domain is [2, ∞).

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The car will cost $ 800 after a depreciation time of approximately 6 years.

Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:

c(t) = c' + m · t

Where:

If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:

m = (12,000 - 36,000) / (4 - 0)

m = - 24,000 / 4

m = - 6,000

800 = 36,000 - 6,000 · t

6,000 · t = 35,200

t = 35,200 / 6,000

t = 5.867

The expected depreciation time is approximately 6 years.

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The value of x is approximately 2.8462° and the value of maN is 37°.

To find the value of x and maN, we need to use the given information. According to the question, maN is equal to (13x)°.
To solve for x, we can set up an equation:
maN = (13x)°
Now, since we know that maN is equal to 37°, we can substitute this value into the equation:
37° = (13x)°
To isolate x, we divide both sides of the equation by 13:
37° / 13 = (13x)° / 13
This simplifies to:
2.8462° ≈ x°
Therefore, the value of x is approximately 2.8462°.
Now, let's find the value of maN. We already know that maN is equal to (13x)°. Substituting the value of x that we just found, we get:
maN = (13 * 2.8462)°
Simplifying the multiplication:
maN = 37°
So, the value of maN is 37°.
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9514 1404 393

Answer:

  x = -6 (correct answer)

  mistakes were made in Step 2 and Step 5.

Step-by-step explanation:

The mistake is made in Step 2, application of the distributive property. This is often a source of error. Here, the error is in signs.

Step 1: 12 = -2(x -4) -8

Step 2: 12 = -2x +8 -8 . . . . . . the correct step 2

Step 3: 12 = -2x . . . . . . . . . . . like terms combined

Step 4: -6 = x . . . . . . . . . . . . . divide by -2

__

Check

  12 = -2(-6 -4) -8 = -2(-10) -8 = 20 -8 = 12 . . . . answer checks OK

__

Comment on other mistake

In the original Step 5, -2 was divided on the right and added on the left. This is a violation of the properties of equality, so guarantees a wrong answer. The same operation must be performed on both sides of the equation.

An additional mistake was made in that the answer was not checked.

Answer:

-24

Step-by-step explanation:

First find f(3), which is the value of the blue line when x =3

f(3) = -2

Then find g(-1) which is the value of the red line when x= -1

g(-1) = 6

-6 f(3) - 6*g(-1)

-6*-2 - 6(6)

12 - 36

-24

Answer:

v=6

Step-by-step explanation:

v²=u²+2as

v²=12²+2(-3)(18)

v²=144-108

v²=30

v=6

The points on the graph where y equals zero represent the solutions to the original equation.

However, please note that the equation you provided,

\(x^3 - 2x^2 - 11x + 12 = x^3 - 13x - 12\), simplifies to \(-2x^2 + x + 24 = 0\). The original equation \(x^3 - 2x^2 - 11x + 12 = x^3 - 13x - 12\) does not have any variable x terms on the right side, which results in the elimination of all x terms in the simplified equation.

To graph the system of equations that can be used to solve the equation \(x^3 - 2x^2 - 11x + 12 = x^3 - 13x - 12,\)

we need to rewrite the equation in a form that represents a system of equations.

Rearranging the equation, we get:

\(x^3 - 2x^2 - 11x + 12 - (x^3 - 13x - 12) = 0\)

Simplifying:

\(-2x^2 + 2x - x + 24 = 0\)

Combining like terms:

\(-2x^2 + x + 24 = 0\)

Now, let's represent this equation as a system of equations by setting the left side of the equation equal to y:

\(y = -2x^2 + x + 24\)

We can then graph this equation using a coordinate plane. The x-axis represents the values of x, and the y-axis represents the corresponding values of y.

By plotting points on the graph  values based on various of x, we can obtain the graph of the equation\(y = -2x^2 + x + 24.\)

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Answer: $2,550

Step-by-step explanation:

I’m not 100% sure what this question is asking.

But if it’s asking “how much money does he earn in total if he mows for 25 days and if he earns $102 each day”, then that would be your answer.

Since there is 25 days, and he earns $102 each day, you would multiply 25 by 102.

Then your answer (his total amount of money earned once he has mowed for 25 days) would be: $2,550.