The apothem is the perpendicular distance from the _____ of a regular polygon to any one of its sides.

Answer:

Step-by-step explanation:

3*2+3*8+2-2*5=6+24-10+2=22

1. Translation – (x+3, y-3) :

To move the figure 3 units to the right in the x-direction and 3 units down in the y-direction.

2. Dilation – Reduce the figure by ½ is:

When reducing a figure by ½, every dimension of the figure is divided by 2.

3. Reflection- Reflect over the line y = x

Reflecting over the line y = x means that every point in the figure is reflected over the line that goes diagonally from the lower left to the upper right.

4. Rotation – Rotation of 180 degrees around the origin.

When rotating a figure 180 degrees around the origin, every point in the figure is moved to a new location that is 180 degrees around the origin from its original location.

Translated to plain English, this means to move the figure 3 units to the right in the x-direction and 3 units down in the y-direction. When we apply the translation (x+3,y-3) to a figure, it means that we move the entire figure 3 units to the right in the x-direction, and 3 units down in the y-direction. So, the translation (x+3,y-3) simply shifts the figure to a new location that is 3 units to the right and 3 units down from its original location.

Dilation is a transformation that changes the size of a figure. When reducing a figure by ½, every dimension of the figure is divided by 2. In other words, every point in the figure is moved to a point that is half the distance from the center of dilation.

Reflecting a figure over a line means to create a mirror image of the figure on the other side of the line. Reflecting over the line y = x means that every point in the figure is reflected over the line that goes diagonally from the lower left to the upper right.

Rotating a figure means to turn it around a fixed point. When rotating a figure 180 degrees around the origin, every point in the figure is moved to a new location that is 180 degrees around the origin from its original location. This means that every point is flipped over to the opposite side of the origin.

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The 2008 AP Multiple Choice AB answers and solutions can be found on the College Board website or through other online resources.

However, it is important to remember that simply looking up the answers will not help you in the long run. It is important to understand the concepts and methods behind each question in order to be successful on the AP exam.

Here are the answers to the 2008 AP Multiple Choice AB exam:

1. B
2. D
3. C
4. B
5. A
6. D
7. D
8. C
9. B
10. D
11. C
12. B
13. D
14. A
15. D
16. B
17. C
18. D
19. A
20. D
21. B
22. C
23. D
24. B
25. C
26. D
27. A
28. B

It is important to remember that simply knowing the answers will not guarantee success on the AP exam. It is important to understand the concepts and methods behind each question in order to be successful. If you are having difficulty with a particular question or concept, it is recommended that you seek out additional resources or assistance from a teacher or tutor.

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The area of the shape for the quilt block is eighty three three - fifth (83 3/5) inches square.

It should be noted that to find the area of this six-sided figure, we can break it down into two right triangles and a rectangle.

First, let's find the area of the right triangle with the 4-inch side. This triangle has a base of 4 inches and a height of 5 inches, so the area is (1/2) * 4 * 5 = 10 square inches.

Next, let's find the area of the right triangle with the 5-inch side. This triangle has a base of 5 inches and a height of 4 inches, so the area is (1/2) * 5 * 4 = 10 square inches.

Finally, let's find the area of the rectangle. This rectangle has a base of 10 and three-fifths inches and a height of 6 inches, so the area is (10 + 3/5) * 6 = 63 3/5 square inches.

The total area of the six-sided figure is:

= 10 + 10 + 63 3/5

= 83 3/5 square inches.

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Answer:

1

Step-by-step explanation:

The diagonal is √2 times the length of any side. So √2/√2 is 1.

Based upon this information, the value of the test statistic is 0.23.

The term "test statistic" refers to a quantity obtained from the sample and used in statistical hypothesis testing.

The sample proportion, or ratio of the sample size to the number of "yes" responses (23), would be the test statistic in this situation (100). The sample proportion is computed in the following manner:

The test statistic is p = 23/100, or 0.23.

So, 0.23 is the test statistic. The percentage of dog owners that routinely feed their dogs Woof Chow dog food is represented by this sample estimate.

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Answer:

The height of the pile is increasing at a rate of 16.72 feet per minute. To solve this problem, we need to use the volume formula for a right circular cone: V=pi/3 r²h. We know that the volume is 20 cubic feet per minute, the height is 14 feet and the radius of the base is 14 feet. So we can calculate the rate of change of the height by rearranging the formula to give v/(pi/3r²). So for our example, v/(pi/3*14²)=20/(pi/3*14²)=20/(3.14*196)=20/613.44=16.72 feet per minute.

Answer:

1/4

Step-by-step explanation:

Create a chart 18 over 72 and x over 100

Now we multiply 18 by 100 to get 1800

We take that 1800 and divide it by 72 to get 25/100

We can simplify this to 1/4

Based on the low correlation value of 0.05, Bob concludes that the number of bedrooms in a home is not a strong predictor of its selling price.

The statistical method called correlation to measure the strength of the relationship between these two variables.

A correlation value of 0.05 indicates that there is a weak relationship between the number of bedrooms in a home and its selling price. In statistical terms, this means that the number of bedrooms in a home only explains 5% of the variation in the selling price.

A correlation value can range from -1 to 1.

A value of -1 indicates a perfect negative correlation, meaning that as the number of bedrooms in a home increases, the selling price decreases.

A value of 1 indicates a perfect positive correlation, meaning that as the number of bedrooms in a home increases, the selling price also increases.

A value of 0 indicates no correlation, meaning that there is no relationship between the number of bedrooms in a home and its selling price.

Other factors, such as location, square footage, and the overall condition of the home, likely play a larger role in determining the selling price.

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Answer:

52 weeks

Step-by-step explanation:

Cousins bank account

52 x 25 = 1300

1855 - 1300 = 555

My bank account

52 x 10 = 520

520 + 35 = 555

If an area of the circle is 200.96 cm^2 , then the circumference of the same circle is approximately around 28.28 cm^2.

The formula for the area of a circle is given by:

A = πr^2,

where A is the area and r is the radius of the circle.

To find the circumference of a circle, we can use the formula:

C = 2πr,

where C is the circumference and r is the radius.

To solve for the circumference, we first need to find the radius of the circle. We can use the formula for the area to find the radius:

A = πr^2

200 = πr^2

r^2 = 200 / π

r = √(200 / π)

Next, we can substitute the value of r into the formula for the circumference to find the circumference:

C = 2πr

C = 2π * √200 / π)

C = 2 * √(200)

Approximating √(200) to 14.14, we get:

C ≈ 2 * 14.14 = 28.28

So the approximate circumference of a circle with an area of 200 square cm is 28.28 square cm.

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The percent of discount applied to the book bags is 56.6%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Bookbags sold for $29.95. Now that school is in session, the same book bags are only $13.00.

So, The amount of discount is,

= $(29.95 - 13.00).

= $16.95.

Therefore, The percentage discount is,

= (16.95/29.95)×100%.

= 56.6% discount.

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Answer:The population mean can be calculated by the sum of all values in the given data/population divided by a total number of values in the given data/population.

If sine0=1/3 then the values of

cos0 = 2/3

tan0 = 1/2

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

Given that sin 0 = 1/3, we can use the Pythagorean theorem to find the value of cos 0:

cos² 0 + sin² 0 = 1

cos² 0 = 1 - (sin 0)²

cos 0 = √(1 - (sin 0)²)

cos 0 = √(1 - (1/3)²)

cos 0 = √(1 - 1/9)

cos 0 = √(8/9)

cos 0 = √2/3

Next, we can use the relationship between sine and tangent to find the value of tan 0:

tan 0 = sin 0 / cos 0

tan 0 = 1/3 / 2/3

tan 0 = 1/2

So, the values of cos 0 and tan 0 are 2/3 and 1/2, respectively.

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The correct option for the systems of equations that has the solution (–1, 5) is - A. y = 3x + 8 and y = –x + 4.

According to the discussion above, a system of equations is a collection of equations that aim to find a similar solution for all of the variables.

For the given solution of (–1, 5).

It must satisfy the given systems of equations.

Put x = - 5 and if y = 5 comes, it satisfies the equation.

Thus,

Option A:

y = 3x + 8

Put x = -1

y = 3(-1) + 8 = 5

y = –x + 4

Put x = -1

y = -(-1) + 4

y = 5

Thus, option A satisfies the given systems of equations.

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Answer: A:  y = 3x + 8

                y = –x + 4

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

using the rule of exponents

• [tex]a^{0}[/tex] = 1

then

[tex]3^{4}[/tex] × [tex]3^{0}[/tex]

= [tex]3^{4}[/tex] × 1

= 3 × 3 × 3 × 3

= 9 × 9

= 81

Answer: Hello! I'm JK!.....

81

Use the power rule to combine exponents. 3^4+^0

Add 4 and 0. 3^4

Raise 3 to the power of 4.

81

Step-by-step explanation:

 I really hope this helps you! <3 XoXoGoldenMaknae

Answer:

21+35

Step-by-step explanation:

7(3+5)=7x3+7x5=21+35

The sketch for the graph is added as an attachment

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

The table of values

Next, we plot the points on the graph using the following scale on the y-axis

1 unit = 1000000000 people

See attachment for the graph

From the graph, we can see that

The curve never intersects with the y-axis

This means that

y ≠ 0

The interpretation of this is that the scientists were not able to completely turn all the zombies to human

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The solution to the system of equations y = 2x - 1 and y = -1/3x + 3 is given as follows:

(1.714, 2.429).

The system of equations for this problem is defined as follows:

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

(1.714, 2.429).

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Her net pay is 1270.85 pounds

What is Net Pay?

Net Pay is the take-home pay an employee receives after you withhold deductions. You can find net pay by subtracting deductions from gross pay.

where,

Gross monthly pay = 1,480 pounds

Income tax = 112.67 pounds

NICs = 96.48 pounds

Net pay = Gross pay - Deductions

Net pay = 1,480 - (112.67 +96.48)

Net pay = 1480 - 209.15

Net pay = 1270.85 pounds

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The required mortgage brokerage fee is $1,654.45, which is closest to option A: $1,653.45.

The percentage is the ratio of the composition of the subject to the overall composition of the subject multiplied by 100.

Here,

To calculate the mortgage brokerage fees, you need to add the fixed fee of $300 to 1.05% of the house price. Here's how to calculate it:

Calculate 1.05% of $128,900:

0.0105 x $128,900 = $1,354.45

Add the fixed fee of $300 to the result:

$1,354.45 + $300 = $1,654.45

Therefore, the answer is $1,654.45, which is closest to option A: $1,653.45.

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To convert 3/5 to a decimal, we divide the numerator by the denominator  and we get 0.6. 3/5 as a decimal is 0.6.

To convert 3/5 to a decimal, we divide the numerator (3) by the denominator (5):

3 ÷ 5 = 0.6

Therefore, 3/5 as a decimal is 0.6.

Converting a fraction to a decimal involves dividing the numerator by the denominator. To convert 3/5 to a decimal, we can use long division or a calculator to perform the division. In this case, 3 divided by 5 equals 0.6. Alternatively, we can also recognize that the fraction 3/5 can be written as a decimal by dividing the numerator by the denominator. Since 3 is the same as 3.0, we can add a decimal point after 3 and divide by 5 to get 0.6. The decimal form of a fraction can be useful for making comparisons or performing calculations with other decimal numbers.

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Complete Question

what is 3/5 as a decimal?

The angles that share the same sine value as sin(45°) have terminal sides in second quadrant .

The sine function relates the ratio of the length of the side opposite an acute angle to the length of the hypotenuse of a right triangle. The sine of an angle is always between -1 and 1.

The sine of 45 degrees is √2/2, which is a positive value. Since the sine of an angle is positive in the first and second quadrants, the angles that share the same sine value as sin(45°) must have their terminal sides in the first or second quadrant.

To find the angles that have the same sine value as 45 degrees, we can use the inverse sine function, also known as the arcsine function. The arcsine of √2/2 is 45 degrees or π/4 radians, which is an angle in the first quadrant.

However, since the sine function is periodic, there are infinitely many angles with the same sine value as 45 degrees, and they are all separated by integer multiples of 360 degrees or 2π radians.

Therefore, the angles that share the same sine value as sin(45°) have terminal sides in second quadrant, and can be represented by the formula:

θ = n(360°) ± 45°

or

θ = n(2π) ± π/4

where n is an integer.

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Answer: (  ll ) edgen

Step-by-step explanation:

We would anticipate that a fair six-sided number cube would roll a 4 or 5 roughly 170 times out of 510 rolls.

The likelihood of rolling a 4 or a 5 on any given roll, supposing the six-sided number cube is fair, is 2/6 or 1/3. This indicates that we should anticipate seeing a 4 or a 5 roughly one-third of the time out of 510 rolls.

We may determine this by dividing the total rolls by the likelihood of rolling a 4 or a 5, as follows:

510 * 1/3 = 170

It's crucial to keep in mind that this is merely a prediction based on probability and that the actual outcomes could change as a consequence of chance or other circumstances.

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Answer:

He attended school for 9 hours everyday

Step-by-step explanation:

612/68=9

This is because he did 9 hours everyday for 68 days until he go 612 hours of barber school, which means that 612 hours/68 days=hours attended per day

Answer:

One and the same

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

To find the solution for the system on a graph, look where the two lines intersect, that coordinate is your answer.

In a circle value of x is,

⇒ x = 164.5

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A circle is shown in figure.

Now, We know that;

Sum of all angles in a circle is 360°.

Hence, We can formulate;

⇒ 24 + 21 + (x - 9) + (x - 5) = 360°

⇒ 45 + 2x - 14 = 360

⇒ 2x = 360 - 31

⇒ 2x = 329

⇒ x = 164.5

Thus., The value of x is,

⇒ x = 164.5

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5 rules of scientific notation which helps us to represent the numbers which are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent.

The exponent is either positive or negative depending on how big or little the number is. Learn about power and exponents to have a deeper understanding. The five golden rules of the scientific notation:

Hence there are the rules of the the scientific notation.

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Answer:

I got 5/16 as my answer

Step-by-step explanation:

I used a calculator to solve the equation :/