1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeX [460]
4 years ago
5

Find the area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet

Mathematics
1 answer:
Finger [1]4 years ago
3 0

Answer:

The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².

Step-by-step explanation:

An octagon is a polygon with eight sides. An octagon is regular (also called a regular octagon) is a polygon with all eight sides equal.

The apothem of a regular octagon is the shortest distance between the center and any of its sides, in other words, it is the distance that separates the center of the polygon from the central point of each side of the octagon.

The area is calculated using the following formula:

Area=\frac{n*L*Ap}{2}

Where:

  • n is the number of sides.
  • L is the length of one of the sides.
  • Ap is the value of the apothem.

Being n = 8 being an octagon and the perimeter P the sum of the sides of the octagon (P = 8 * L), the area of ​​the regular octagon can be calculated by:

Area=\frac{P*Ap}{2}

In this case:

  • P=80 ft
  • Ap=12.07 ft

Replacing:

Area=\frac{80ft*12.07ft}{2}

Solving:

Area=482.8 ft²

<u><em>The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².</em></u>

You might be interested in
Phalicia is a senior at North HS and wants to begin saving for college. She's trying to choose between two savings account optio
iris [78.8K]

Answer:

Option 2

Step-by-step explanation:

Let's say that Phalicia opens her savings account one year (12 months) before she goes to college.

With Option 1, she would have saved 300 + 50 * 11 = $850. We do 50 * 11 and not 50 * 12 because she deposits $50 for 11 months, not 12.

With Option 2, she would have saved 5 * 3¹¹ = $885735. Note that we do 3¹¹ and not 3¹² because 5 is being tripled 11 times.

Obviously, she should choose Option 2 because she saves A LOT more money.

Additionally, we can notice that Option 1 is an example of an arithmetic sequence whereas Option 2 is an example of a geometric sequence. Their explicit formulas would be aₙ = 50n + 250 and aₙ = 5 * 3⁽ⁿ⁻¹⁾ respectively.

8 0
3 years ago
What is the y-coordinate for the solution to the system of equations?
Marina86 [1]

Answer: i took the test and the answer was

-5

Step-by-step explanation: Good luck!

7 0
2 years ago
The figure below shows the parcel of land on, which dallas, the zoo keeper , confines his zebras. His rule of thumb dictates tha
Irina18 [472]
Unfortunately, you haven't shared the "figure below" that shows the dimensions of this parcel of land.  Without being able to calculate the area of the parcel, you cannot really answer this question exactly.

Suppose that the area of the parcel were 6000 square meters.  Dividing that by 1500 square meters, we get 4, which represents the number of zebras that can live on this (example) parcel.

Figure out the area of your parcel, in square meters, and thend divide your result by 1500 square meters.  This will give your your answer.  Please note:  your answer will be a COUNT of zebras.  "meters" does not belong in this answer.
6 0
4 years ago
When are conclusions said to be​ statistically significant?
mars1129 [50]

Answer:

If the p-value is less than a given significance level, you reject the null hypothesis and accept the alternative hypothesis.

Step-by-step explanation:

Suppose you have a business in which you'd like to make a change to increase your business. After making the change, you can use a significance test it. To conduct a significance test, you make a null hypothesis which states essentially that no effect happened. You also make an alternative hypothesis that states the change had an effect. You then test the two to see which one stands. In a significance test, using the p-value from your sample you compare it to the null and alternative hypotheses. You make a conclusion when:

  • If the p-value is less than a given significance level, you reject the null hypothesis and accept the alternative hypothesis since the evidence is in favor of it.

If the p-value is greater than the significance level, then you fail to reject the null hypothesis and cannot conclude. There isn't evidence in favor of the alternative hypothesis.

8 0
3 years ago
Here is the sales slip from Sharon’s shopping trip. Sharon paid a total of $25.52 which included sales tax on all items. What ta
Yuki888 [10]
Its about 7% percent tax. hope i helped
8 0
3 years ago
Read 2 more answers
Other questions:
  • A solution has which of the following properties?
    9·1 answer
  • Part A: Solve –vp + 30 &lt; 45 for p. Show your work.
    11·1 answer
  • Henry counted 350 lockers haily counted 403 lockers how does the 3 in 350 c ompare to the 3 in 403
    5·1 answer
  • The sum of three times a number and seven is greater than twice the number minus four
    11·1 answer
  • Hello I would like some help with this problem if possible ​
    15·1 answer
  • pam's weekly exercise schedule is shown in the bar graph below. on what day did pam exercise for 45 minutes ? how long did pam e
    7·1 answer
  • -3(2x-4)-2=2(5-3x)<br> ANSWER NEEDED ASAP please
    9·1 answer
  • Given the functions f(x) = x^2 + 6x - 1, g(x) = -x^2 + 2, and h(x) = 2x^2 - 4x + 3, rank them from least to greatest based on th
    6·1 answer
  • DRAG &amp; DROP THE ANSWER
    7·1 answer
  • Are there any linear quantities in the chart shown? And if so, what is the slope of said pairs?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!