Find the area of the triangle shown below in square inches.

The length of line RS is 16

A line segment can be defined as the part of a straight line bounded by two different end points, and also contains every point on the line that is between its endpoints.

We have that;

But,

PR = RS

Substitute the formula

7x - 5 = 4x + 4

collect like terms

7x  - 4x = 4 + 5

3x = 9

x = 9/ 3

x = 3

RS = 4x + 4 = 4(3) + 4 = 12 + 4 = 16

Thus, the length of line RS is 16

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The measure of angle A is equal to 133°.

In Mathematics, a triangle can be defined as a two-dimensional (2D) geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

Furthermore, the sum of the angles in a triangle is equal to 180. This ultimately implies that, we would sum up all of the angles as follows;

m∠A + m∠B + m∠C = 180

Substituting the given parameters into the mathematical expression, we have the following;

(x + 60)° + (x - 82°) + 56° = 180°

2x - 34 = 180°

2x = 146

x = 73.

m∠A = (x + 60)°

m∠A = (73 + 60)°

m∠A = 133°

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Answer:

37=18q+1

subtract 1 on both sides

then divide both sides by 18

q=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\sf 37=18q+1\)

\(\sf 18q+1=37\)

Subtract 1 from both sides:-

\(\sf 18q+1-1=37-1\)

Simplify:-

\(\sf 18q=36\)

Divide both sides by 18:-

\(\sf \cfrac{18q}{18}=\cfrac{36}{18}\)

\(\sf q=2\)

_____________________

Hope this helps!

Have a great day!

Answer: x = 32

Step-by-step explanation:

If m∠ORS = m∠SRQ = 3x - 6 and since the two angles are a linear pair they total 180°. This means half or only one section = 90°

solve for x

3x - 6 = 90

add 6 to both sides

3x = 96

divide each side by 3

x = 32

Answer:

The answer (from left to right) is -3.5 and -2.5

Step-by-step explanation:

Answer:

from the left to the right: -3.5, -2.5

Step-by-step explanation:

have a good day

The answer to the standard error of the average, rounded to three decimal places, will be provided. The expected value of each draw will be the average of these values, which is (0 + 1) / 2 = 0.5.

The standard error of the number (or sum) of evens in 36 draws is not provided, and it seems there was an error in calculating the expected value of the average of the draws. However, we can calculate the standard error of the average based on the previously computed standard deviation.

To calculate the standard error of the number (or sum) of evens in 36 draws, we need additional information that is not provided. Without the data or probabilities associated with the draws, we cannot determine the standard error for this specific question.

Regarding the expected value of the average of the 36 draws from the 0-1 box in question 1, it appears there was an error in calculating the expected value in the previous tries. However, given that the box contains values ranging from 0 to 1, the expected value of each draw will be the average of these values, which is (0 + 1) / 2 = 0.5.

To compute the standard error of the average, we can divide the standard deviation (already computed) by the square root of the number of draws. Since the standard deviation has been previously calculated but is not provided, we cannot give an exact value. However, if you have the standard deviation, you can compute the standard error by dividing it by the square root of 36, which is 6. The standard error is a measure of how much the sample means are expected to vary from the population mean, and it helps assess the precision of the sample estimate. By rounding the result to three decimal places, you can obtain the desired value.

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Answer:

0.5 i think

Step-by-step explanation:

Answer:

x = 1

y = 10

Step-by-step explanation:

5x + y = 15

Step 1: Move 5x on the other side by subtracting it from both sides

y = 15 - 5x

2x + y = 12

Step 2: Move 2x on the other side by subtracting it from both sides

y = 12 - 2x

Since y = y, that means 15 - 5x = 12 - 2x

Step 3: Add 5x to both sides

15 = 12 + 3x

Step 4: Subtract 12 from both sides

3 = 3x

Step 5: Divide both sides by 3

x = 1

y = 12 - 2x

Step 6: Plug in 1 for x

y = 12 - 2(1)

Step 7: Multiply 2 by 1

y = 12 - 2

Step 8: Subtract 2 from 12

y = 10

Answer:

52 an hr

Step-by-step explanation:

Answer:

First we subtract 8,500 from the 18,040. What we get from that is 9540. Now we divide 9,540 by 3.8 and see what we get. What we get is 2510.52631579 which means it would take around 2510.52631579 days to pay 18,040. In total that rounds to 7 years. Rounding up by the way

Step-by-step explanation:

Answer:

14.4

Step-by-step explanation:

We have hypotenuse so cannot use tangent. We have adjacent so we can't use sine, therefore, we have to use cosine.

x = cos(59) x 28

x = 14.4

FALSE. The number of degrees of freedom in cross-tabulation data is calculated by subtracting 1 from the product of the number of rows and columns.

Therefore, in this case, the number of degrees of freedom would be (3-1) x (4-1) = 6.

Degrees of freedom refer to the number of independent pieces of information in a data set, which can be used to calculate statistical significance and test hypotheses.

In cross-tabulation, degrees of freedom indicate the number of cells in the contingency table that are not predetermined by the row and column totals.

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Answer:

12

Step-by-step explanation:

Substitute the given numbers for the variables.

-(-2)(6-3)2

2(3)2

12

True, a pie chart should be considered when you have just one data series to plot. A pie chart is a circular chart that is divided into slices to represent numerical proportions.

Each slice of the pie chart represents a category or percentage of a whole. Pie charts are useful when you want to display relative proportions or percentages of a single data series. They are easy to understand and provide a quick visual representation of data. However, pie charts are not recommended for complex data sets or when comparing multiple data series. In such cases, a bar chart or a line graph may be a better option. It is important to choose the right type of chart based on the nature of the data and the purpose of the visualization.

True, a pie chart should be considered when you have just one data series to plot. A pie chart is a circular graphical representation of data that displays the size of items in one data series as a proportion of the total sum of the items. The individual data points are shown as slices or segments of the pie, with each segment's size representing the proportion of the whole.

Pie charts are particularly useful for visualizing percentages and proportions of a whole, and they work best when there are a limited number of categories in the data series. They are simple and easy to understand, making them a popular choice for presenting information to a broad audience.

However, pie charts may not be the best choice for every situation. If there are too many categories, the segments may become too small to easily distinguish between them. Additionally, if you need to compare multiple data series or trends over time, other chart types, such as bar or line charts, might be more appropriate.

In summary, pie charts are an effective choice for visualizing a single data series with a limited number of categories, especially when the goal is to show proportions or percentages. If these conditions are met, a pie chart can be a useful and easily understood way to display your data.

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Answer:

8 hours

Step-by-step explanation:

3 1/5 cups, he drinks 2/5 cups every hour

to find the number of hours he has water for, divide the 2 numbers

3 1/5 = 16/5

16/5 divided by 2/5 is equal to 16/5 times 5/2

80/10 equals 8, so he will have water for 8 hours

Answer:

18, 36, 54, 72, 90...

Step-by-step explanation:

The best representation of the buttons in the box is the third sample.

To determine which sample is the best representation of the button in the box, we need to examine the samples and compare them to the known ratios of the colors of buttons in the box.

First sample: 6 red, 2 green, 1 blue, 1 yellow (out of 10)

Second sample: 3 red, 3 green, 3 blue, 1 yellow (out of 10)

Third sample: 2 red, 2 green, 5 blue, 1 yellow (out of 10)

To compare the samples to the known ratios, we can calculate the percentage of each color in each sample and compare it to the percentage of each color in the box.

The percentages of each color in the box are:

Red: 10/100 = 10%

Green: 30/100 = 30%

Blue: 40/100 = 40%

Yellow: 20/100 = 20%

First sample:

Red: 6/10 = 60%

Green: 2/10 = 20%

Blue: 1/10 = 10%

Yellow: 1/10 = 10%

Second sample:

Red: 3/10 = 30%

Green: 3/10 = 30%

Blue: 3/10 = 30%

Yellow: 1/10 = 10%

Third sample:

Red: 2/10 = 20%

Green: 2/10 = 20%

Blue: 5/10 = 50%

Yellow: 1/10 = 10%

Based on these percentages, we can see that the third sample is the best representation of the buttons in the box, as it is closest to the known ratios of colors in the box.

The first sample is skewed towards red buttons and away from blue and green buttons, while the second sample has equal percentages of red, green, and blue buttons, which is not reflective of the known ratios in the box.

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Answer:

hey moderators can you just comment like you dont have to ban me 6 times i just want one comment and ill stopphey moderators can you just comment like you dont have to ban me 6 times i just want one comment and ill stopphey moderators can you just comment like you dont have to ban me 6 times i just want one comment and ill stopp

Step-by-step explanation:

Answer:

−18+25+(−37)

[−18+25]+(−37)

Here we will 1

st

solve square bracket

∴[−18+25]+(−37)=7+(−37)

=7−37=−30

−30 is the sum of −18,+25 and −37

To calculate the change in volume of the box when the cutout length increases from 0.8 to 3.4 inches, we need to consider the dimensions and geometry of the box.

Let's consider an example where the box is a rectangular prism, and we'll calculate the change in volume when the cutout length increases from 0.8 to 3.4 inches.

Assuming the box has dimensions:

Length: 10 inches

Width: 6 inches

Height: 4 inches

To calculate the initial volume of the box with a cutout length of 0.8 inches, we need to subtract the volume of the cutout from the total volume of the box.

Initial volume = Length * Width * Height - Cutout volume

Initial volume = 10 inches * 6 inches * 4 inches - (0.8 inches * 6 inches * 4 inches)

Initial volume = 240 cubic inches - 19.2 cubic inches

Initial volume = 220.8 cubic inches

Now, let's calculate the new volume when the cutout length increases to 3.4 inches.

New volume = Length * Width * Height - Cutout volume

New volume = 10 inches * 6 inches * 4 inches - (3.4 inches * 6 inches * 4 inches)

New volume = 240 cubic inches - 81.6 cubic inches

New volume = 158.4 cubic inches

To find the change in volume, we subtract the initial volume from the new volume:

Change in volume = New volume - Initial volume

Change in volume = 158.4 cubic inches - 220.8 cubic inches

Change in volume = -62.4 cubic inches

Therefore, in this example, the volume of the box decreases by 62.4 cubic inches when the cutout length increases from 0.8 to 3.4 inches.

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A large polymeric molecule that is nonpolar over most of its structure but very polar at one end DNA and Phospholipid.

DNA and phospholipid were two examples of huge polymeric molecules that would be polar solely on a single end although nonpolar on the majority of their structure, as opposed to the other alternatives, which would be all monomeric compounds. Nucleotides are used to help DNA create its polymeric structure. Phosphodiester linkage aids in the arrangement of the nucleotides.

The polar molecule would only be found in one area of the vast strand-like polymeric structure. At one extremity of the strand, there is a polar phosphate link; with its assistance, some other monomeric units were joined, generating the phosphodiester bonds. Two fatty acids and the first molecule of glycerol work together to generate the structure known as the phosphodiester.

The phosphate group is present in the polar head region of the phosphate group. This help in the polarity of the phospholipid structure making the head region of the polymeric molecule hydrophilic.  

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Answer:

39x6=234

Step-by-step explanation:

The x-coordinate of the point that the line passes through is x = 0.

We can use the point-slope form of a linear equation to solve this problem.

The slope of the line can be found using the two given points:

slope  (change in y) / (change in x)

slope = (-3 - (-9)) / (12 - x)

slope = 6 / (x - 12)

Now we can use the point-slope form of the linear equation, with the y-intercept of 6:

y - 6 = slope * (x - 0)

Substituting the slope we just found:

y - 6 = (6 / (x - 12)) * x

Simplifying:

y - 6 = 6x / (x - 12)

Multiplying both sides by (x - 12):

y(x - 12) - 6(x - 12) = 6x

Distributing:

xy - 12y - 6x + 72 = 6x

Moving the x terms to one side:

xy - 12y - 12x + 72 = 0

Now we can substitute the y-coordinate of the other given point, (-9), and solve for x:

x(-9) - 12(6) - 12x + 72 = 0

Simplifying:

-9x - 72 - 12x + 72 = 0

-21x = 0

x = 0

Therefore, the x-coordinate of the point that the line passes through is x = 0.

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Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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Answer:

16 inches³

Step-by-step explanation:

Volume of prism = base area * height

Base is square, so area of base = side * side = 2 * 2 = 4 in²

Volume of prism = 4 * 4

Volume of prism = 16 in³

Answer:

-5 < x < 10

Step-by-step explanation:

−6 < x − 1 < 9

Add 1 to all sides

−6+1 < x − 1+1 < 9+1

-5 < x < 10

Answer:

11......................

Volume = (1/3) . π . r² . h

475.17 = (1/3) . π . r² . 15

475.17 = 5πr²

r² = 475.17/5π

r² = 30.25

r = √30.25 = 5.5

Diameter = 2r = 2 × 5.5 = 11 yd

Answer:

y = -2x + 3

Step-by-step explanation:

Ya I just put it in the format

Answer:

y = -2x + 3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope: -2

Y-Intercept: 3

y = -2x + 3

Answer:

110029290292929191929

The answer using probability are shown:

(A) 43/60 projection is used.

(B) He shouldn't alter the estimate in light of this knowledge.

Simply put, the probability is the likelihood that something will occur.

When we don't know how an occurrence will turn out, we can discuss the likelihood or likelihood of various outcomes.

Statistics is the study of occurrences that follow a probability distribution.

Mathematics' study of random events is known as probability, and there are four major kinds of probability: axiomatic, classical, empirical, and subjective.

So, he would calculate the amount by dividing the overall number of bricks by the proportion of green bricks. The likelihood of choosing a green block out of all 60 bricks would be that.

Then, the probability would be:

= 43/60

Andre shouldn't alter his assessment, in other words.

The explanation is that we do not know whether the bricks he saw were green in color; we are only told that she looked in the bag and found 6 bricks.

The only time Andre needs to adjust his guess is if it turns out that the six bricks Mai saw in the bag were, in fact, green.

The estimate should not be altered until this proof is received.

Therefore, the answer using probability are shown:

(A) 43/60 projection is used.

(B) He shouldn't alter the estimate in light of this knowledge.

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Complete question:
Andre picks a block out of a bag 60 times and notes that 43 of them were green. What should Andre estimate for the probability of picking out a green block from this bag? Mai looks in the bag and sees that there are 6 blocks in the bag. Should Andre change his estimate based on this information? If so, what should the new estimate be? If not, explain your reasoning.

Answer:

40

Step-by-step explanation:

u can draw a line at point c parallel to line ab

angle at d and lower part of c is interior angle so u can find the value at lower part of c that is 180-145=35

so point c 75-35=40 is upper part of point c

upper part of c and angle b is alternate angle so both angle are the same

angle cba is 40

Answer:

<CBA = 40°

Step-by-step explanation:

If AB is parallel to DE, you can make an irregular pentagon by continuing AB and drawing a line perpendicular to DE.  The sum of the interior angles of a pentagon is 540.  You can use this to solve for the supplement of <CBA, then subtract that from 180.  (I’m sure there’s an easier way, but I cant think of one right now).

540-90-90-145-75=x

140=x

<CBA=180-140= 40°