3.25 lab: leap year a year in the modern gregorian calendar consists of 365 days. in reality, the earth takes longer to rotate around the sun. to account for the difference in time, every 4 years, a leap year takes place. a leap year is when a year has 366 days: an extra day, february 29th. the requirements for a given year to be a leap year are:

Answers

Answer 1

The requirements for a given year to be a leap year are the year must be divisible by 4, if the year is divisible by 100, it is not a leap year, unless it is also divisible by 400.

In the Gregorian calendar, a leap year is a year that has 366 days instead of the usual 365 days. The reason for this is to account for the fact that the Earth takes slightly longer than 365 days to orbit the Sun.

This system of leap years helps to keep our calendar in synchronize with the astronomical year and ensure that seasonal events, such as the solstices and equinoxes, occur at approximately the same time each year.

For example, 1900 was not a leap year because it is divisible by 100 but not by 400, while 2000 was a leap year because it is divisible by both 100 and 400.

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Related Questions

By which axiom AABC and ADEF shown in the figure are congruent? Also, write a pair of corresponding angles.​

Answers

The axiom AABC and ADEF shown in the figure are congruent by SAS axiom.

What is SAS?

The SAS (Side-Angle-Side) axiom, also known as the SAS postulate or SAS congruence criterion, states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

In other words, if you have two triangles with the same angle between two sides of equal length, then those triangles are congruent.

This can be written mathematically as:

If triangle ABC is congruent to triangle DEF by SAS axiom, then:

AB = DE

AC = DF

angle BAC = angle EDF

angle ABC = angle DEF

angle ACB = angle DFE

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Using completing the square method solve : 3x^2+5x+2=0​

Answers

Answer:

Step-by-step explanation:

Finally got it right. lol

whats the answer to d??​

Answers

Answer:

I think the answer is 4 tell me if it wasn't

assume that the test scores of a college entrance exam fits a normal distribution. the mean test score is 72, and the standard deviation is 5. what is the percentage of students scoring 84 or more in the exam?

Answers

The percentage of students scoring 84 or more in the exam is 99.18%.

Given, Mean test score = 72,

Standard deviation = 5.

We are supposed to find the percentage of students scoring 84 or more in the exam.

To find the percentage of students scoring 84 or more in the exam, we will use the following steps:

First, we need to find the z-score associated with 84.

Let us assume that z is the z-score corresponding to the value 84, then;

z = (84 - 72) / 5 = 2.4

Now, we have the value of z, we can find the percentage of students scoring 84 or more in the exam using the normal distribution table.

The percentage is the area under the normal distribution curve to the right of the z-score.

To find the area using the normal distribution table, we need to look for the value 2.4 in the z-table. Since 2.4 is not exactly listed in the z-table, we will use the value for 2.4 closest to it.

Using the z-table, the value closest to 2.4 is 0.9918.

Therefore, the percentage of students scoring 84 or more in the exam is;

P(Z > 2.4) = 0.9918 × 100 = 99.18%.

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due in 5 minutes 3.5+4t ≤ 39.5

Answers

Answer:

t ≤ 9

Step-by-step explanation:

Given the relation of this table:



What is the rule for this relation?

Answers

The rule for this relation could be S = n² + 1.

What is relation rule?

A relation rule is a description of how two or more quantities or variables are related to each other. A relation rule can take various forms, depending on the nature of the relation and the variables involved.

For example, a relation rule can be expressed as an equation, a formula, a table, a graph, or a verbal description. In each case, the relation rule specifies the conditions under which the variables are related, and how they vary in relation to each other.

Based on the given table:

n: 1, 0, 2

S: 1, 0, 3

We can observe that when n=1, S=1; when n=0, S=0; and when n=2, S=3.

There are different possible rules that can describe this relation, but one possible rule is:

S = n² + 1

Using this rule, we can verify that it matches the given table:

When n=1, S = 1² + 1 = 2, which matches the given value of S=1.When n=0, S = 0² + 1 = 1, which matches the given value of S=0.When n=2, S = 2² + 1 = 5, which matches the given value of S=3.

Therefore, the rule for this relation could be S = n² + 1.

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A circular pond is 21 m in diameter. It is surrounded by 3.5 m wide path. Find the
cost of constructing the path at the rate of Rs. 25 per m2.

Answers

The cost of constructing the path at the rate of Rs. 25 per m2 would be Rs. 38,465.

To find the cost of constructing the path, we need to determine the area of the path and then multiply it by the cost per square meter.

The total diameter of the pond and the path is 21m + 3.5m + 3.5m = 28m.

So the radius of the pond is half of the diameter, which is 21m/2 = 10.5m.

The radius of the pond with the path is (21m+3.5m)/2 = 12.25m.

Area of the path = Area of the outer circle - Area of the pond

[tex]= π(12.25)^2 - π(10.5)^2[/tex]

[tex]= π[(12.25)^2 - (10.5)^2][/tex]

= 3.14 x (24.5 + 10.5) x (24.5 - 10.5)

= 3.14 x 35 x 14

= 1538.6 m2 (rounded to one decimal place)

Therefore, the cost of constructing the path at the rate of Rs. 25 per m2 would be:

Cost = Area x Rate per m2

= 1538.6 x 25

= Rs. 38,465.

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A rectangular prism has​ whole-number dimensions. It has a height of 26 ​inches, a square​ base, and a surface area of 216 in2. What are the dimensions of the base of the​ prism?

Answers

Using the surface area of the rectangular prism we know that the dimensions of the base are 2in x 2in.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism.

A rectangular prism also refers to a cuboid.

A cuboid and a rectangular prism have the same cross-section.

The surface area of the rectangular prism: A=2(wl+hl+hw)

Insert values: A=2(wl+l+hw)

232=2(wl+28l+28w)

232 = 2wl + 56l + 56w

We know that w and l are equal as: w = l as the base is square:

So, we can write:

232 = 2wl + 56l + 56w

232 = 2w² + 56w + 56w

232 = 2w² + 112w

2w² + 112w - 232 = 0

2w² + w(116 - 4) -232

2w² + 116w - 4w - 232

2w(w+58) -4(w+58)

Then, we have:

w+58 = 0 ⇒ w = -58

2w-4 = 0 ⇒ w = 2

Since the base measurements cannot be negative.

Then, the dimensions of the base are: 2in x 2 in

Therefore, using the surface area of the rectangular prism we know that the dimensions of the base are 2in x 2in.

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Diego has two Guinea pigs, Pia and Zia. Pia weighs 1 3/4 pounds. Zia weighs 32 ounces. Who weighs more? How much more? Show your work
(1 pound equals 16 ounces)

Answers

Zia weighs 4 ounces more than Pia .First, we need to convert Pia's weight from mixed numbers to an improper fraction and then convert the result to ounces to make it comparable to Zia's weight.

Pia's weight = 1 3/4 pounds

= (4*1 + 3)/4 pounds

= 7/4 pounds

= (7/4) * 16 ounces

= 28 ounces

Now we can compare Zia's weight and Pia's weight.

Zia's weight = 32 ounces

Since 32 ounces is greater than 28 ounces, Zia weighs more than Pia.

To find out how much more Zia weighs than Pia, we can subtract Pia's weight from Zia's weight.

Zia's weight - Pia's weight = 32 ounces - 28 ounces = 4 ounces

Therefore, Zia weighs 4 ounces more than Pia.

In summary, we first converted Pia's weight from pounds to ounces by multiplying it by 16. Then we compared the weights of Pia and Zia in ounces and found that Zia weighs more than Pia. Finally, we found the difference between their weights by subtracting Pia's weight from Zia's weight, which showed that Zia weighs 4 ounces more than Pia.

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Westin Trading normally nets $6 million per month. The table shows the variance from the average for five months.

Sales Above/Below Average (Millions)
April
May
June
July
Aug.
–2.5
Negative 2 and one-half
3.1
–1.6
2 and two-thirds

Which comparison is true? Use the number line to help.

A number line going from negative 6 to positive 6 in increments of 1.

June < August
April = May
May > July
May = August

Answers

The comparison of variance that is true for the given average per month is "May > July".

What is variance?

Variance is a metric for gauging how dispersed a set of data is. The average of the squared discrepancies between each data point and the data set mean is used to compute it. Data points with a high variation are dispersed throughout a wider range of values, whereas those with a low variance are grouped more closely together. In statistics, variability is frequently used to examine data distribution and contrast the variability of various data sets. It is frequently stated in terms of the original data's square units, such square metres or square dollars.

From the given table the average per month is:

April: $6 million - $2.5 million = $3.5 million below average

May: $6 million - $2 million = $4 million below average

June: $6 million + $3.1 million = $9.1 million above average

July: $6 million - $1.6 million = $4.4 million below average

August: $6 million + $2.67 million = $8.67 million above average

Thus, comparing the numbers on the number line we observe that the average in May is greater than July.

Hence, the comparison that is true is "May > July".

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Answer:

It is A

Step-by-step explanation:

please Thanks me

Help me please! I’m so stressed out.

Answers

The triangle is obtuse.the length of BC is 16 ft.the length of each side of the triangular quilt piece is 9√(2) inches or 2.73 inchesSin 35.54° = 9/16Cos 61.8° = 7/18

What is the explanation for the above answers?

1) To determine if the triangle is acute, obtuse, or right, we need to check if the sum of the squares of the two shorter sides is greater than, equal to, or less than the square of the longest side.

Let's first arrange the side lengths in ascending order:

28 in. < 34 in. < 42 in.

Now we can apply the Pythagorean theorem:

28² + 34² = 196 + 1156 = 1352

42² = 1764

Since 1352 is less than 1764, the sum of the squares of the two shorter sides is less than the square of the longest side. Therefore, the triangle is obtuse.


2)

We can use the tangent function to find the length of BC.

tan(B) = opposite/adjacent

We know that the opposite side of angle B is BC, and the adjacent side is AC, which is the height of the triangle. Since angle B is 45 degrees, we have:

tan(45) = BC/16

Simplifying the left side using the fact that tan(45) = 1, we get:

1 = BC/16

Multiplying both sides by 16, we get:

BC = 16

Therefore, the length of BC is 16 ft.


3)

Since the hypotenuse of each triangular quilt piece is 18 inches, we can use the Pythagorean theorem to find the length of each side. Let's call one leg of the triangle x (since the two legs will be equal), and the hypotenuse is 18. Then:

x² + x² = 18²

Simplifying:

2x² = 324

Dividing by 2:

x² = 162

Taking the square root:

x = √(162) = sqrt(2 * 3⁴)

We can simplify this by breaking it down into factors:

x = 3 * √(2) * 3

x = 9√(2)

Therefore, the length of each side of the triangular quilt piece is 9√(2) inches or 12.73 inches


4)

We can use the inverse sine function to find the angle that has a sine of 9/16. Using a calculator, we get:

sin^(-1)(9/16) ≈ 35.54°

Therefore, the missing value is approximately 35.54°

5)
We can use the inverse cosine function to find the angle that has a cosine of 7/18. Using a calculator, we get:

cos^(-1)(7/18) ≈ 61.48°

Therefore, the missing value is approximately 61.48°


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The radius r of a sphere is increasing at a rate of 3 inches per minute. a) Find the rates of changes of the volume when r = 9 inches and r = 36 inches. b) Explain why the rate of change of the volume of the sphere is not constant even though dr/dt is constant.

Answers

(a) The rates of changes of the volume are:

When r = 9 inches, dV/dt = 972π cubic inches per minute

When r = 36 inches, dV/dt = 15,552π cubic inches per minute

(b)  The rate of change of the volume relates to the radius through a quadratic function not a constant function.

How to find the rates of changes of the volume?

a) We know that the formula for the volume of a sphere is V = (4/3)πr³. We can take the derivative with respect to time t to find the rate of change of volume.

dV/dt = 4πr² (dr/dt)

When r = 9 inches, we have:

dV/dt = 4π(9²)(3) = 972π cubic inches per minute

When r = 36 inches, we have:

dV/dt = 4π(36²)(3) = 15,552π cubic inches per minute

b) The rate of change of the volume of the sphere is not constant even though dr/dt is constant because the rate of change of the volume relates to the radius through a quadratic function not a constant function.

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Technology In 2002, there were approximately 544,000,000 Internet users
worldwide. Write this number in scientific notation.
mplify.

Answers

Answer: 5.44 x 10 to the power of 8

Step-by-step explanation:

A party rental company has chairs and tables for rent. The total cost to rent 8 chairs and 4 tables is $37. The total cost to rent 3 chairs and 2 tables is $17.
What is the cost to rent each chair and each table?
Cost to rent each chair:
Cost to rent each table:

Answers

After answering the provided question, we can conclude that As a result,  equation each chair costs $1.50 to rent, and each table costs $6.25 to rent.

What is equation?

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an analytical solution (=). For example, the argument "2x + 3 = 9" asserts that the quote "2x + 3" equals the value "9". The goal of equation solving is to determine the value or moral standards of the variable(s) that will allow the equation to be true. Equations can be simple or complex, regular or multidimensional, and include one or more factors. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are employed in numerous different areas of mathematics, such as algebra, calculus, and geometry.

8c + 4t = 37 (equation 1)

3c + 2t = 17 (equation 2)

[tex]3c = 17 - 2t\\c = (17 - 2t) / 3\\8c + 4t = 37\\8[(17 - 2t) / 3] + 4t = 37\\(136 - 16t) / 3 + 4t = 37\\[/tex]

[tex]136 - 16t + 12t = 111\\-4t = -25\\t = 6.25\\3c + 2t = 17\\3c + 2(6.25) = 17\\[/tex]

[tex]3c + 12.5 = 17\\3c = 4.5\\c = 1.5\\[/tex]

As a result, each chair costs $1.50 to rent, and each table costs $6.25 to rent.

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Can someone help me with my practice test?

Answers

Answer:

  9.  (x +3)² +4x = x² +10x +9

  10.  (5 +3m)/15

  11.  x = (-1±i√14)/3

Step-by-step explanation:

You want help with practice test questions involving quadratics and rational numbers.

9. Equivalence

For this, it is perhaps easiest to show equivalence by multiplying out the second form of the quadratic:

  (x +3)² +4x

  = (x +3)(x +3) +4x

  = x(x +3) +3(x +3) +4x

  = x² +3x +3x +9 +4x

  = x² +(3 +3 +4)x +9

  = x² +10x +9 . . . . . . . . equivalent form

10. Adding rationals

As you know, fractions can be added by adding their numerators when they have a common denominator. Here, the denominators of 3 and 5 have no common factors, so the least common denominator is their product, 3·5 = 15. Writing equivalent fractions with denominators of 15, we have ...

  [tex]\dfrac{1}{3}+\dfrac{m}{5}=\dfrac{5}{5}\cdot\dfrac{1}{3}+\dfrac{3}{3}\cdot\dfrac{m}{5}\\\\=\dfrac{5}{15}+\dfrac{3m}{15}=\boxed{\dfrac{5+3m}{15}}[/tex]

It can be worthwhile to remember that you can always add fractions with the formula ...

  [tex]\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}[/tex]

11. Quadratic formula

The solution to 3x² +2x +5 = 0 is found using the quadratic formula with ...

a = 3b = 2c = 5

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-2\pm\sqrt{2^2-4\cdot3\cdot5}}{2\cdot3}\\\\=\dfrac{-2\pm\sqrt{-56}}{6}=\dfrac{-2\pm2i\sqrt{14}}{6}\\\\\boxed{x=\dfrac{-1\pm i\sqrt{14}}{3}}[/tex]

__

Additional comment

It can be useful to remember ...

  (a ±b)² = a² ±2ab +b²

where the sign of the middle term matches the sign in the binomial. This is also used for "completing the square" where the b² term is the square of the middle term after it is divided by 2a.

ten pounds of mixed birdseed sells for $8.25 per pound. the mixture is obtained from two kinds of birdseed, with one variety priced at $5.61 per pound and the other at $8.91 per pound. how many pounds of each variety of birdseed are used in the mixture?

Answers

The 2 pounds of $5.61 per pound birdseed are used in the mixture.10 - 2 = 8 pounds of $8.91 per pound birdseed are used in the mixture.

Answer:2 pounds of $5.61 per pound birdseed are used in the mixture.8 pounds of $8.91 per pound birdseed are used in the mixture.

Given information:Ten pounds of mixed birdseed sells for $8.25 per pound. The mixture is obtained from two kinds of birdseed, with one variety priced at $5.61 per pound and the other at $8.91 per pound.To find:Pounds of each variety of birdseed used in the mixture.Solution:Let 'x' be the number of pounds of the first kind birdseed used in the mixture.

Then, (10 - x) will be the number of pounds of the second kind birdseed used in the mixture.The price of the first kind of birdseed per pound is $5.61.Price of x pounds of the first kind of birdseed = 5.61x dollars.The price of the second kind of birdseed per pound is $8.91.Price of (10 - x) pounds of the second kind of birdseed = 8.91(10 - x) dollars.

The total cost of the mixture = $8.25 per pound × 10 pounds= $82.50 dollars.According to the question,$$5.61x+8.91(10-x)=82.5$$Multiply the numbers inside the brackets by multiplying with the negative sign.

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I’m wondering if it’s correct and if it’s not, I give u 20 points


20 POINTS

Answers

Using percentage,

18. 78/100 of earth's atmosphere is made up of nitrogen.

19. 0.21 part of earth's atmosphere is made up of oxygen.

20. 100% of earth's atmosphere is here represented by the graph.

21. 1/100 of earth's atmosphere is made up of other gases.

Define percentage?

The denominator of a percentage (also known as a ratio or fraction) is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his maths test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100. In this case, the percentage symbol "%" is read as "percent" or "percentage."

This percent symbol can always be changed to a fraction or decimal equivalent by substituting "divided by 100."

Here in the graph as we can see,

Nitrogen = 78%

Oxygen = 21%

Other gases = 1%

Total = 100%

Fraction of nitrogen gas means, 78% in fraction = 78/100

Now, decimal of oxygen gas means, 21% in decimal = 0.21

The total percentage represented by graph = 100%

Other gases make up for 1/100 fraction of the total earth's atmosphere.

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Use the information below to work out the closest distance that a cinema can
put seats to the screen.
Give your answer to 1 d.p.
Safety rules say that the angle of elevation from a customer's eyes to the top of
the screen must be no more than 31°.
The top of the cinema screen is 7.3 m above the floor.
Customers' eyes are 1.2 m above the floor when they are sat on a seat.

Answers

The closest distance that a cinema can put seats to the screen is approximately 3.2 meters.

What is the trigonometric ratio?

the trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

According to the given information:

We can use trigonometry to find the closest distance that a cinema can put seats to the screen.

Let "d" be the closest distance between the screen and the seats. Then, we can form a right triangle with the distance "d" as the adjacent side, the height of the screen (7.3 m) as the opposite side, and the height of the customer's eyes above the floor (1.2 m) plus the height of the seat above the floor (which we can assume is 0.5 m) as the hypotenuse.

Using the tangent function, we can write:

tan(31°) = (7.3)/(d + 1.7)

Solving for "d", we get:

d = (7.3)/(tan(31°)) - 1.7 ≈ 3.2 m

Therefore, the closest distance that a cinema can put seats to the screen is approximately 3.2 meters.

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At a home goods store, Advik buys a bird bath for $24.50 and several bags of mulch that cost $2.79 each. The total for his purchase is $66.35 before tax.
Find how many bags

Answers

Answer:

Step-by-step explanation:

Advik spends $24.50 at the home goods store on a bird bath and $2.79 a bag for multiple mulch bags. His total before tax for the purchase is $66.35. 15 sacks of mulch were bought by Advik.

Let's start by first finding the total cost of the bird bath and the mulch bags.

The cost of the bird bath is $24.50.

Let's use "x" to represent the number of bags of mulch that Advik purchased. Each bag costs $2.79, so the total cost of the mulch bags is 2.79x.

The total cost of the purchase before tax is $66.35. So we can write an equation:

24.50 + 2.79x = 66.35

To solve for x, we can first subtract 24.50 from both sides:

2.79x = 41.85

Then we can divide both sides by 2.79:

x = 15

So Advik purchased 15 bags of mulch.

The complete question is:-

At a home goods store, Advik buys a bird bath for $24.50 and several bags of mulch that cost $2.79 each. The total for his purchase is $66.35 before tax.

Find how many bags he purchased.

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Find the mean and median of the given data: 6, 3, 4, 9, 13

Answers

Step-by-step explanation:

mean is all the numbers added together, which is 35 and divide by the amount of numbers so 35 divide 5 is 7. Mean= 7

Medial is the number in the middle so 4 is the medial. Because it is in the middle of all the numbers.

Hope this helps.

A family wants to make an addition to a deck that extends off the back of their home. The current deck is 400 ft2. The addition will be 18.75 ft in length and 15 ft wide. What will be the total area of the deck once the addition is complete? 681.25 ft2 433.75 ft2 281.25 ft2 118.75 ft2

Answers

Answer:

681.25 ft2.

Step-by-step explanation:

Answer:

Step-by-step explanation: answer is option b

. The table shows how many books students
in a class read each week for two months.
Graph the data.
Week 1 2 3
Books
Read
10 9
7
4 5 6
8
7 8
9
67
4
What is the difference between the greatest numb
books read and the least number of books read?

Answers

The difference between the greatest and least number of books read is 6.

What is graph?

A graph is a visual representation of data that displays the relationship between two or more variables. Graphs are used in many fields, including mathematics, science, economics, engineering, and social sciences, to help researchers and practitioners analyze, interpret, and communicate data effectively.

Here,

To graph the data, we can use a bar graph or a line graph, where the x-axis represents the weeks and the y-axis represents the number of books read. Each bar or point on the graph represents the number of books read in a particular week. Using the data from the table, we can create the following line graph:

To find the difference between the greatest number of books read and the least number of books read, we need to identify the highest and lowest data points on the graph. From the graph, we can see that the highest data point is 10, which corresponds to Week 1, and the lowest data point is 4, which corresponds to Week 3. Therefore, the difference between the greatest and least number of books read is:

10 - 4 = 6

So the difference is 6 books.

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Complete question:

The table shows how many books students in a class read each week for two months. Graph the data.

Week           1              2                      3

Books       10               7                     9

Read          4               5                     6

What is the difference between the greatest numb books read and the least number of books read?

Please help me answer this:
also how to find the area of the octagon using this?

Answers

Answer:

  173.82 cm²

Step-by-step explanation:

You want the area of a regular octagon, given its side length is 6 cm.

(a) Angles

A regular n-gon can be divided into n congruent isosceles triangles, each with its a.pex at the center of the polygon. The a.pex angle will have a measure of 360°/n.

The central angle of one sector of a regular octagon is 360°/8 = 45°. That means the triangle interior angle at A or B will be ...

  ∠OAM = (180° -45°)/2

  ∠OAM = 67.5°

Apothem

The apothem of a regular polygon is the distance from its center to the midpoint of one side. Here, it is the length of segment OM.

We know ∠OAM is 67.5°. The side OM of triangle OAM is related to the side AM by the tangent function:

  Tan = Opposite/Adjacent

  tan(67.5°) = OM/AM

Since M is the midpoint of the 6 cm length AB, the measure of AM = 3 cm. That lets us find OM:

  OM = AM·tan(67.5°) = (3 cm)tan(67.5°)

  OM ≈ 7.2426 cm

(b) Area

The area of the octagon will be 8 times the area of a sector triangle. This, ...

  A = 8(1/2sa) . . . . . . . . . . where s is the side length, and a is the apothem

  A = 4(6 cm)(7.2426 cm)

  A ≈ 173.82 cm²

__

Additional comment

Effectively, we have found a formula for the area of any regular n-gon using only the side length.

  a = s/2·tan(90° -180°/n)

  A = ns/2·a = (1/2)ns·(1/2)s·tan(90° -180°/n)

  A = ns²/(4·tan(180°/n))

For this octagon, the formula gives ...

  A = 8·(6 cm)²/(4·tan(22.5°)) ≈ 173.82 cm²

The formula A = (n/2)sa is often written A = 1/2Pa, where P is the perimeter (=ns).

You may notice that many regular polygon area problems give inconsistent values for the side length and apothem. Specifying one is sufficient for finding the area. Specifying numerical values for both is trouble.

At sunrise the distance from the top of the Great Sphinx in Egypt to the end of its shadow is measured to be 220 ft. The distance from the top of the head of a 6 ft-tall person who is standing next to the Sphinx to end of their shadow is measured to be 20 ft. How tall is the Great Sphinx?
54. 5ft

Answers

The Great Sphinx in Egypt is 66 ft tall, based on measurements of its shadow and a 6 ft-tall person's shadow at sunrise.

Let's denote the height of the Sphinx as "h".

At sunrise, the angle of elevation from the tip of the Sphinx to the top of the sun is 90 degrees. This means that the triangles formed by the Sphinx, its shadow, and the sun are all similar.

Using this fact, we can set up a proportion between the height of the Sphinx and the length of its shadow:

h/220 = 6/x

where "x" is the length of the shadow of the 6 ft-tall person.

Solving for "x", we get:

x = (220*6)/h

We also know that the length of the shadow of the person is 20 ft, so we can set up another proportion:

h/220 = 6/20

Solving for "h", we get:

h = (220*6)/20 = 66 ft

Therefore, the height of the Great Sphinx is 66 ft.

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The complete question is:

The Great Sphinx in Egypt's shadow extends 220 feet below the summit of the structure at sunrise. An someone who is 6 feet tall and standing close to the Sphinx has a shadow that extends 20 feet from the top of their head. The Great Sphinx's height is how tall?

a) 70.0 ft

b) 66.0 ft

c) 733.3 ft

d) 54.5ft

A quadratic function is graphed on the grid.
Which blue dashed line is the axis of symmetry for the graph?
Select ONE correct answer.

Answers

Answer:

c

Step-by-step explanation:

I WILL GIVE 15 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE

Answers

Answer:

B, $305.11

Step-by-step explanation:

since it is in annual interest, 36 months = 3 years.

use the formula for simple interest, which is x = Prt

278 * 0.0325 * 3 = 27.105

that is the interest that you gained.

then, add the original amount that you had, which was 278.

27.105+278 = 305.105

this rounds to $305.11, which is answer choice B

Which equation shows an example of the associative property of addition? (â€""4 i) 4i = â€""4 (i 4i) (â€""4 i) 4i = 4i (â€""4i i) 4i × (â€""4i i) = (4i â€"" 4i) (4i × i) (â€""4i i) 0 = (â€""4i i)

Answers

An equation that shows an example of the associative property of addition is: a. (- 4 + i) + 4i = -4 + (i + 4i)

Associativity, which applies only to addition and multiplication, states that any sum or product of 3 or more numbers is unaffected by how the numbers are grouped in parentheses. In other words, if the same numbers are grouped differently for addition and multiplication, their results will always be the same.

The associative property of the addition states that the addition of numbers cannot affect by the grouping of the number.

A+(B+C) = (A+B) +C

Here, in the above equation the value of A+(B+C)  is always equal to the value of (A+B)+C whether the grouping of number is changes or not.

That is:

The expression that complies with this property is given by:

(-4+i) + 4i = -4 + (i+ 4i)

Complete Question:

Which equation shows an example of the associative property of addition?

a.(–4 + i) + 4i = –4 + (i + 4i)

b.(–4 + i) + 4i = 4i + (–4i + i)

c.4i × (–4i + i) = (4i – 4i) + (4i × i)

d.(–4i + i) + 0 = (–4i + i)

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The value, y, in dollars of a painting after x years can be represented by the function y=6000(1.25)x.

How much is the painting worth after 6 years to the nearest dollar?

Answers

Answer:22,888

Step-by-step explanation: replace x with 6 and use calculator :)

if a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm.

Answers

The rate at which the diameter decreases when the diameter is 11 cm is 4 cm/min.

To solve this question, we need to use the formula for the surface area of a sphere, A = 4πr2. Since the surface area of the snowball is decreasing at a rate of 2 cm2/min, we can set up a differential equation to calculate the rate of change of the radius with respect to time:  dA/dt = 2 cm2/min = 8π dr/dt.

We can rearrange this equation to find dr/dt, the rate at which the radius of the snowball is changing:  dr/dt = 2 cm2/(8πmin).

We then use the equation for the diameter of a circle, d = 2r, and substitute the rate of change of the radius to get the rate of change of the diameter: dd/dt = 2(dr/dt) = 2 cm2/(4πmin).

Finally, we can plug in the given diameter, 11 cm, to find the rate of decrease in diameter:  dd/dt = 11 cm/(4πmin) = 4 cm/min. Therefore, the rate at which the diameter decreases when the diameter is 11 cm is 4 cm/min.

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(X-3)(x+3)

Solve this polynomial plss

Answers

Answer: x^2 - 9

Step-by-step explanation:

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