The area of a trapezium is 847 cm2. If the ratio of parallel sides is 9:2 and the
distance between them is 14 cm, find the length of parallel sides

Answer:

Step-by-step explanation:

Answer: A then 0.700 .7 .70

Step-by-step explanation:

1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.

2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.

3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.

Answer:

x = 14

Step-by-step explanation:

MON = PQR

MO = 20

MN = 32

PR = 3x - 10

If MON and PQR are the same, then MN and PR must also be the same,

3x - 10 = 32

    +10   +10

3x = 42

       42 / 3 = 14

x = 14

Answer:

n = 7

Step-by-step explanation:

\(Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ \)

Answer:

n = -7 ∪ 7

=> n = |7|

Step-by-step explanation:

S = 12cm = (n + 5) * (n + 5 - 10) / 2

\(S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\\)

Answer:

15/41

Step-by-step explanation:

15/41

The four-leaf clover has a rotational symmetry of order four, meaning it can be rotated by multiples of 90 degrees to coincide with its original form. Each rotation creates a new orientation of the clover, resulting in a total of four possible arrangements.

A four-leaf clover does not possess a natural order of rotation (n) or a specific angle of rotation. The concept of order of rotation and angle of rotation typically applies to geometric shapes with regular symmetry, such as squares, triangles, or circles.

A four-leaf clover, on the other hand, is a natural plant form and does not exhibit the same type of regular symmetry as geometric shapes. Each leaf of a four-leaf clover is unique and positioned asymmetrically, resulting in an irregular shape.

Therefore, the notion of an order of rotation or a specific angle of rotation does not apply to a four-leaf clover.

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The best response for a person handling biohazards with an open wound on their hands is to not  work with biohazards until the cut is healed or cleared by a healthcare professional to work with the use of waterproof bandages and double gloves.

Biohazards are extremely dangerous because they can get into the human body and cause a lot of damage.

This is why a person with an open would or existing cut should not handle a biohazard until they are cleared to to so by a trained healthcare professional.

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A hypothesis test on a regression coefficient fails to reject the null hypothesis at the 5% significance level. This means that the test was not able to provide enough evidence to support the idea that the regression coefficient is significantly different from zero.

A hypothesis test is a statistical test that is used to determine whether there is enough evidence to support or reject a claim about a population based on the sample data. In a regression analysis, the regression coefficient represents the slope of the regression line that shows the relationship between the dependent variable and the independent variable(s).The null hypothesis for a regression coefficient is that the population slope is zero, which means that there is no linear relationship between the dependent variable and the independent variable(s). The alternative hypothesis is that the population slope is not zero, which means that there is a linear relationship between the dependent variable and the independent variable(s).The level of significance (α) is the probability of making a Type I error, which is the rejection of the null hypothesis when it is actually true. The commonly used value for α is 0.05 (or 5%).If a hypothesis test on a regression coefficient fails to reject the null hypothesis at the 5% significance level, it means that there is not enough evidence to support the alternative hypothesis that the population slope is not zero. Therefore, it can be concluded that the regression coefficient is not significantly different from zero and there is no linear relationship between the dependent variable and the independent variable(s).

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In Animal Farm, Boxer, many piglets, hens, and a lot of other nameless creatures all perish under Napoleon's tyranny.

The framework, the structure, within which a story is produced, is known as the plot of a story. It almost acts as the blueprint for how all the many parts of a literary work fit together to form a finished product. The five elements that make up a story's plot are as follows: the introduction, also known as exposition, in which the reader is given background information on the narrative's characters and setting as well as other essential details.

The three main parts of a story are the rising action, the climax, and the falling action. The rising action is when the writer builds up the information and develops the story to lead the reader to the story's crucial point. The climax is essentially the heart of the story and the point at which the action reaches its highest pitch. To prepare for the story's conclusion, the loose ends also start to be tied off. The conclusion of the story, or resolution, comes last.

Boxer is now known as the most pitiful of Orwell's characters because of his death in this chapter. Napoleon has completely brainwashed him; as a result, he lives (and dies) for the benefit of the farm, whose boss sells him to a knacker as soon as he becomes unfit for labor.

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Answer:

a

Step-by-step explanation:

Answer:

KN = LM

LN is common

LK = MN (parallel)

(S-S-S congruence)

Answer: 6 candies per row.

Step-by-step explanation:

The restrictions that we have are:

Each row has the same number of candies.

Each row has only one color of candy.

We want to find the largest possible rows.

We have 18 green candies and 24 red candies.

Now, to arrange them in rows of equal numbers, we should find a common factor between 18 and 24. (particularly, we want to find the largest common factor between 18 and 24).

Now, to find common factors we first take the smaller number, and we divide it by different numbers, starting by 2 (we want to divide by small numbers, so the result will be the largest factor)

18/2 = 9.

Now to see if 9 is also a factor of 24, we see if the quotient between 24 and 9 is a whole number.

24/9 = 2.66

This is not a whole number, so 9 is not a common factor.

Now we divide by the next number, 3.

18/3 = 6.

24/6 = 4.

So 6 is a common factor of 18 and 24.

Then each row will have 6 candy.

And we will have:

18/6 = 3 rows of green candy.

24/ = 4 rows of red candy.

Answer:

Step-by-step explanation:

The given line is y = 5x + 2. We know that any line perpendicular to this line will have a slope that is negative reciprocal of 5. The negative reciprocal of 5 is -1/5.

Line A is perpendicular to y = 5x + 2, so it has a slope of -1/5. We also know that the y-intercept of line A is 3. Therefore, the equation of line A can be written as:

y = (-1/5)x + 3

or in the form y = mx + c, where m = -1/5 and c = 3.

Answer:

100 small rectangles

Step-by-step explanation:

Number of small rectangles = Area of large rectangle ÷ area of small rectangle

               \(= \frac{25*40}{10}\\\\= 25*4\\= 100\)

A test is made of Hiiu < 145 at a = 0.05. A sample of size 23 is drawn.

(a) The correct critical value should be +/- 1.96.

(b) The answer is "reject."

A test is made of Hiiu < 145 at a = 0.05. A sample of size 23 is drawn.

(a) The critical value for a two-tailed test with a significance level of 0.05 is +/- 1.96 (approximated to two decimal places) for a sample size of 23.

It seems there was a mistake in the given critical value.

The correct critical value should be +/- 1.96.

(b) Since the test statistic of -3.015 is outside the critical region of +/- 1.96, we can reject the null hypothesis.

Therefore, the answer is "reject."

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Answer:

C

the answer is c I have done this before

The scatterplot that displays the line of best fit for the data would be the scatterplot that includes the calculated line of best fit plotted on the graph along with the data points.

A line of best fit, also known as a regression line, is a line that represents the relationship between two variables in a scatterplot. The line of best fit is used to describe the overall trend in the data and can be used to make predictions about one variable based on the values of the other variable.

The line of best fit in a scatterplot can be represented as a straight line, a polynomial, or another type of mathematical function, depending on the relationship between the variables. To find the line of best fit, the student would need to use statistical techniques such as linear regression or polynomial regression to calculate the equation of the line that best represents the data.

The line of best fit is then plotted on the scatterplot along with the data points, creating a visual representation of the relationship between the two variables. The line of best fit can be used to make predictions about one variable based on the values of the other variable, and to determine the strength and direction of the relationship between the two variables.

Thus, In conclusion, the scatterplot that displays the line of best fit for the data would be the scatterplot that includes the calculated line of best fit plotted on the graph along with the data points.

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The scatterplot that displays the line of best fit for the data is the scatterplot that includes the computed line of best fit drawn on the graph with the data points.

The scatterplot that includes the computed line of best fit shown on the graph with the data points is the scatterplot that displays the line of best fit for the data.

A line of best fit, also known as a regression line, is a line in a scatterplot that illustrates the connection between two variables. The line of best fit is used to depict the general trend in the data and may be used to forecast one variable based on the values of another.

Depending on the relationship between the variables, the line of best fit in a scatterplot can be depicted as a straight line, a polynomial, or another sort of mathematical function. The learner would need to apply statistical techniques such as linear regression or polynomial regression to derive the equation of the line that best represents the data in order to obtain the line of best fit.

The line of best fit is then drawn alongside the data points on the scatterplot, producing a visual depiction of the connection between the two variables. The line of best fit may be used to anticipate the value of one variable based on the value of another variable, as well as to identify the strength and direction

To summarize, the scatterplot that displays the line of best fit for the data is the scatterplot that includes the computed line of best fit drawn on the graph with the data points.

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1/2, -5/2, and 5/3 are the zeros of the given function.

To find the zeros of the polynomial f(x) = 6x³ - 31x² + 4x + 5, we can use various methods, such as factoring, synthetic division, or using the rational root theorem. Here, we will use the rational root theorem, which states that any rational zero of a polynomial must have a numerator that is a factor of the constant term and a denominator that is a factor of the leading coefficient.

In this case, the constant term is 5, and the leading coefficient is 6. Therefore, any rational zero must have the form of ±(factor of 5) / (factor of 6).

Possible factors of 5 are ±1 and ±5, and possible factors of 6 are ±1, ±2, ±3, and ±6. So, the possible rational zeros of f(x) are:

±1/1, ±5/1, ±1/2, ±5/2, ±1/3, ±5/3, ±1/6, ±5/6

Now, we can use synthetic division or substitute each of these values into f(x) to see which ones are actual zeros. Doing so, we find that f(1/2) = 0 and f(-5/2) = 0, so the zeros of f(x) are:

x = 1/2, -5/2, and 5/3.

Therefore, the zeros of f(x) are 1/2, -5/2, and 5/3.

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Answer:

42 pages per hour

1/42th of an hour per page

Step-by-step explanation:

14 * 3 = 42

The optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2. To solve the given linear programming (LP) model using the graphical method, we need to graphically represent the feasible region and find the optimal solution by maximizing the objective function.

Step 1: Graph the Constraints

We start by graphing each constraint individually on a coordinate plane.

The first constraint is x - y ≥ 0, which represents the line y = x. We can draw this line on the plane.

The second constraint is x + 2y ≤ 4. To graph this, we can rewrite it as 2y ≤ -x + 4 and then solve for y, which gives y ≤ (-1/2)x + 2. We can plot this line on the graph as well.

The third constraint x ≥ 0 represents the x-axis, and the fourth constraint y ≥ -1 represents the horizontal line y = -1.

Step 2: Identify the Feasible Region

The feasible region is the area where all constraints are satisfied. It is the intersection of the shaded regions formed by the constraints.

Step 3: Identify the Optimal Solution

To find the optimal solution, we need to maximize the objective function Z = x - 2y. The objective function is represented by a line with a positive slope.

By sliding the objective function line parallel to itself from left to right or right to left, we can observe the points of intersection between the objective function line and the feasible region. The point that gives the maximum value of Z within the feasible region is the optimal solution.

Step 4: Determine the Optimal Solution

By visually inspecting the graph, we can see that the objective function line will intersect the feasible region at the corner point (2, 0). This is the optimal solution for the given LP model.

Therefore, the optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2.

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Answer:

P(5) = 1/6

Step-by-step explanation:

Assuming that a number cube has 6 sides, the theoretical probability of rolling a 5 is 1/6 since there is only one way to get a 5 out of 6 total sides.

Answer:

It depends on the country and it depends on the act itself.

In US, there is such thing as freedom of speech (with some common-sense limitations), however same will get a person thrown in jail and sentenced to death in a country where any speaking out is deemed as illegal.

So, are you planning on offending someone by calling them stupid or are you planning on violating someone's religious beliefs by desecrating their house of worship?

Are you planning on showing an adult film to a bunch of kids or are you going to tell kindergarteners that Santa is not real?

Upset feelings are not exact damages to be shown in court to demand compensation, however a damage to one's reputation or causing a financial loss (or a loss of life if that offense goes too far) would land that person in legal trouble.

Step-by-step explanation:

Answer:

B. log6 = log2 + log3 = 0.3010 + 0.4771

Step-by-step explanation:

log 2 = 0.3010

log 3 = 0.4771

log 6 = ?

6 = 3 * 2

log 6 = log (3 * 2)

According to log rules;

log (a * b) = log(a) + log (b)

This means;

log 6 = log 3 + log 2

Inserting the values they represent;

log 6 =  log 3 + log 2 =  0.4771  + 0.3010

Correct option:

B. log6 = log2 + log3 = 0.3010 + 0.4771

Answer:

a

Step-by-step explanation:

Answer:

1, 1

Step-by-step explanation:

i hope this answer is correct

The language \(\bar L\) is the complement of the language L. It consists of all strings over the alphabet Σ= {a,b} that are not in L.

The language L is defined as L= {λ,a,b,aa,bb,ab,ba}. To find the complement of L, we need to determine all the strings that are not in L.

The alphabet Σ= {a,b} consists of two symbols: 'a' and 'b'.

Therefore, any string not present in L must contain either symbols other than 'a' and 'b', or it may have a different length than the strings in L.

The complement of L, denoted by \(\bar L\). includes all strings over Σ that are not in L.

In this case, \(\bar L\) contains strings such as 'aaa', 'bbbb', 'ababab', 'bbba', and so on.

However, it does not include any strings from L.

In summary, \(\bar L\) is the set of all strings over Σ={a,b} that are not present in L.

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here. hope this helps....

Answer:

Step-by-step explanation:

it needs to be a clearer image for me to be able to answer