What is the area of the triangle given below?
A. 32 sq. units
B. 17 sq. units
C. 52 sq. units
D. 26 sq. units

The image of the original figure after the translation and reflection is congruent to the original figure.

A particular type of transformation on the coordinate plane called translation keeps the size of the point or geometrical shape constant while only changing the position. Along the x-axis and y-axis in the coordinate system, the point or the figure can be moved in any direction, including up, down, right, left, and multiple directions.

1. By taking away 4 from the x-coordinate and adding 8 to the y-coordinate, we can translate a point 4 units left and 8 units up.

2. Point A after translation is situated at (-2, 9).

3. We negate the x-coordinate and leave the y-coordinate unaltered to indicate a point over the y-axis.

4. Point B is obtained by reflecting point A over the y-axis (2, 9).

5. Indeed, the resulting representation is consistent with the original figure since the rigid transformations of translation and reflection maintain angles and distances. As a result, the original figure's picture after translation and reflection corresponds to the original figure.

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Answer:

1% of 12,348,000 = 123,480

50% of 123,480 = 61,740 people have died

Answer:

9.7 ft

Step-by-step explanation:

Use the formula for the area of a regular polygon with "n" sides with lengths "s" and apothem a:

A= 1/2 ans

1. Substitute A= 310.4

2. n= 8 (for octagon)

3. s = 8 (length of side)

310.4 = 1/2 (a)(8)(8)

310.4= 32a

a= 9.7 ft

Length of apothem: 9.7 ft

Answer:

33%

Step-by-step explanation:

he sold 1/3

Answer:

There is no picture

Step-by-step explanation:

I wanted to help but i cant

Answer:Its D

Step-by-step explanation: (6, 34)

Answer:

3:8

30/80

18 to 48

Step-by-step explanation:

3:8 (6 and 16 divided by 2)

30/80 (6 and 16 times 5)

18 to 48 (6 and 16 times 3)

Combinations are a method of calculating the total outcomes of an event where the order of the outcomes is irrelevant. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations.

They can select one  republican from the four  republican by 4 ways, and than select the remaining 4 members

from the 7 republicans by  \(C^{4} _{7}\)= 7 x5 = 35 ways.

In all,  4 × 35= 140 selections are possible.

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Answer:

An equation is y = 2x + 4.

Step-by-step explanation:

ANOTHER equation is y - 2 = 2(x + 1)

The simplification is shown below. And the proofs are done step-wise.

The left-hand side and right-hand side of an equation can be separated into two separate sections. We abbreviate the equation's LHS and RHS. If both the LHS and the RHS have identical values, then we may state that the equation is true; otherwise, the equation does not hold for at least some real number values.

According to the R.H.S rule, two right triangles are said to be congruent if one right triangle's hypotenuse and one of its sides are equal to the hypotenuse and one of its sides of a second right triangle.

L.H.S

= \(\frac{cos(t)}{1 + sin(t)} - \frac{cos(t)}{1 - sin(t)}\)

= \(cos (t) [\frac{1}{1 + sin(t)} - \frac{1}{1 - sin(t)}]\)

= \(cos (t) [\frac{1 - sin(t)-1 - sin (t)}{1^2 - sin^2(t)}]\)

= \(cos (t) [\frac{- 2sin (t)}{cos^2(t)}]\)

= \([\frac{- 2sin (t)}{cos(t)}]\)

= \(- 2 tan (t)\) = R.H.S

Thus, L.H.S = R.H.S

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Answer: 0.4

Step-by-step explanation:

Given: Cumulative exponential distribution:

\(P(x<k)=1-e^{\frac{-x}{k}}\)

As per given,

\(P(x<2)=1-e^{\frac{-2}{k}}=0.381\\\\\Rightarrow\ e^{\frac{-2}{k}}=1-0.381\\\\\Rightarrow\ e^{\frac{-2}{k}}=0.619\\\\\Rightarrow\ {\frac{-2}{k}}=\ln(0.619) \ \ \ [\text{Taking natural log on both sides }]\\\\\Rightarrow\ {\frac{-2}{k}}=-0.47965\\\\\Rightarrow\ k=\dfrac{2}{0.47965}\\\\\Rightarrow\ k=4.17\)

\(P(0.5 < X < 3) \\\\=P(X<3)-P(X<0.5) \\\\=(1-e^{-\frac{3}{4.17}})-(1-e^{-\frac{0.5}{4.17}}) \\\\=e^{-\frac{0.5}{4.17}}-e^{-\frac{3}{4.17}}\\\\= 0.4\)

Hence, the required probability = 0.4

Answer:

A

Step-by-step explanation:

Hopefully this helps

The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

y - (-2) = (-1/5)(x - 1)

Simplifying:

y + 2 = (-1/5)(x - 1)

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

y + 2 = (-1/5)x + 1/5

Subtracting 2 from both sides:

y = (-1/5)x + 1/5 - 2

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

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12. Each section of the line on each side is identical (shown by the marks through each line)

This means both those angles are also the same.

6x + 1 = 9x-23

Add 23 to both sides

6x + 24 = 9x

Subtract 6x from both sides

24 = 3x

Divide both sides by 3

X = 8

13. Both angles when added together need to equal 180

5x-24 + 8x +9 = 180

Combine like terms

13x -15 = 180

Add 15 to both sides

13x = 195

Divide both sides by 13

X = 15

#12

#13

The value of distance AB is 187.5 units

Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other.

sine rule can be expressed as;

a/sinA = b/sinB = c/sinC

The opposite side to angle A is BC

the opposite side to angle C is AB

therefore;

A = 180-( 117 +24)

A = 180- 141

A = 39°

290/sin 39 = x/ sin24

xsin39 = 290 × sin24

0.629x = 117.95

x = 117.95/0.629

x = 187.5

therefore the distance AB is 187.5

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Answer:

#9 = 24

#19 = -33

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Answer:

Step-by-step explanation:

8x - 8 = 7x + 8

x - 8 = 8

x = 16

8(16) - 8= 128 - 8 = 120

7(8) + 8 = 56+8 = 64

The dimensions of the rectangular field are given as follows:

The perimeter of a rectangle is given by twice the sum of the length and the width of the rectangle, as follows:

P = 2(l + w).

For this problem, the perimeter is of 582 yards, hence:

2(l + w) = 582

l + w = 291.

The length of the field is 4 yards less than quadruple the width, hence:

l = 4w - 4.

Then the width is obtained as follows:

4w - 4 + w = 295

5w = 295

w = 295/5

w = 59.

The length is obtained as follows:

l = 4 x 59 - 4

l = 232 yards.

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The average speed of the spider is 8 mm per seconds

From the question, we have the following parameters that can be used in our computation:

The graph

The average speed is then calculated as

Average speed = Total distance moved/Total time taken

Using the above and the graph as guides, we have the following:

Total distance moved = 400

Total time taken = 50

So, we have

Average speed = 400/50

Evaluate

Average speed = 8

Hence, the average speed of the spider is 8 mm per seconds

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It will take the acrobat 1/4 of a second to land safely on the net.

Velocity is a physical quantity that measures the rate at which an object moves in a particular direction. It is measured in terms of distance traveled per unit of time, usually expressed in terms of meters per second (m/s). Velocity is a vector quantity, meaning it has both a magnitude and a direction. It is an important concept in physics and is used to understand the motion of objects and forces.
The quadratic equation representing the height h of the acrobat t seconds after the jump can be written as follows: \(h=-16t^2+4t+25\).
To find the time it takes for the acrobat to land safely on the net, we need to solve for t when h=5. We can do this by substituting 5 for h into the equation and solving for t:
\(h=-16t^2+4t+25\\\\5=-16t^2+4t+25\\\\=-16t^2+4t-20=0\\\\(4+\sqrt{64})/(-32)=t\\ \\t=(4+8)/(-32)\\\\t=1/4\)
Therefore, it will take the acrobat 1/4 of a second to land safely on the net.
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Answer:

16√2+6√3−√6

Step-by-step explanation:

No explanation

Answer:

450 = 50x

Step-by-step explanation:

50x = 450

x = 450 / 50

x = 9

The perimeter of the figure is  96.9 inches which has semicircle.

The diameter of the semicircle is 21.25 inches

We have to find the perimeter or circumference of the semicircle

Radius of semicircle = 21.25/2

=10.62

Circumference = (πr + 2r)

=3.14×10.62 + 2(10.62)

=33.35 + 21.24

=54.59

Perimeter of the figure is 54.59+20.91+21.4 is 96.9 inches

Hence, the perimeter of the figure is  96.9 inches which has semicircle.

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Answer:

1/36

Step-by-step explanation:

So what you have to do is take all the numbers on the dice. Getting a 4 would be a 1 in 6 (1/6) chance, but then you take the risk of rolling again and trying to get another 4. Nothing changes with the amount of sides, so it would just be another 1/6 change to get the 4. Then, you have to multiply the two changes together. SO 1/6 x 1/6 = 1/36. It is a 1/36 chance to role a 4 on both roles.

The probability of an event is a number between  \(0\) and \(1\). Hence, the probability of showing a \(4\) on both the rolls is \(\frac{1}{36}\).

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between  \(0\) and \(1\).

The probability of the first throw  \(4\) is \(\frac{1}{6}\).

And on the second throw is \(\frac{1}{6}\).

For both, the throws probability \(4\) would be

\(\frac{1}{6}\)×\(\frac{1}{6}\)\(=\frac{1}{36}\)

Hence, the probability of showing a \(4\) on both the rolls is \(\frac{1}{36}\).

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The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321.  the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.

To determine the largest absolute value:

We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.

To determine the smallest absolute value:

We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.

To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.

Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

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NSQ can be turned into SQ through hypothesis testing and statistical analysis to determine significant relationships and patterns in the data.

To turn a non-statistical question (NSQ) into a statistical question (SQ), we need to rephrase it in a way that allows for statistical analysis. A statistical question is one that can be answered by collecting and analyzing data. Here is an example of how to turn an NSQ into an SQ:

This is a non-statistical question because it cannot be answered by collecting and analyzing data. It is purely a matter of personal preference and cannot be measured quantitatively. However, we can turn it into a statistical question by rephrasing it as:

To answer this question, we would need to collect data from a sample of the population and analyze it statistically. For example, we could conduct a survey of 1000 people and ask them which beverage they prefer. We would then calculate the percentage of respondents who prefer tea over coffee and use statistical methods to estimate the margin of error and confidence interval.

By turning the non-statistical question into a statistical question, we have made it possible to collect and analyze data to answer it. This approach is useful in many fields, including market research, social sciences, and healthcare, where data-driven decisions are increasingly important.

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Answer:

62.5%

Step-by-step explanation:

average = sum of scores / number of scores

60% = [sum of 9 tests] / 9

[new average] = [sum of 10 tests] / 10

= ([sum of 9 tests] + 85%) / 10

= ((9 * 60%) + 85%) / 10

= 62.5%

Answer: I.

Step-by-step explanation:

Capitalism is clearly not the answer. Capitalist governments such as America have their fingers into the economic trading.

Socialism and Communism sound plausible, but Communism is giving people money by their work, and Socialism is everything is owned by the public. Both still involve themselves in markets, so the answer is I

Answer:

d.

No economic system is free from government involvement.

Step-by-step explanation: