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
mestny [16]
3 years ago
6

1. Use the diagram of the regular pentagon to support an explanation showing why the formula accurately yields the area of the p

entagon. (Recall that a is the apothem and P is the perimeter of the pentagon.)

Mathematics
1 answer:
guajiro [1.7K]3 years ago
7 0

(Please check the attachment for the diagram which will support the answer)

The regular pentagon is made up of five triangles as shown in the diagram. Let us now take the case of the bottom triangle ODC. We know from basic geometry that the area of any triangle is half times base times height. So, the area of the triangle will be half times DC (which is the base) times OP (which is the height).

Now, if we take into account all the triangles that make the pentagon we will get similar areas. The height of all such triangles will remain the same as OP because this is a regular pentagon.

Adding all these areas will give us the area of the pentagon which will come out to be:

Area of Pentagon=Area of Triangle OCD + Area of Triangle OBC +Area of Triangle OAB + Area of Triangle OAE + Area of Triangle OED

(Please see attachments for complete solution)

As we can see from the last attachment, the sum in the parenthesis is the perimeter of the pentagon and thus we get the area of the pentagon as

1/2 times apothem times Perimeter

You might be interested in
Will the product of a positive number and a negative number be positive or negative? Why?
MA_775_DIABLO [31]

Answer:

negative

Step-by-step explanation:

positive * positive = positive

negative * positive = negative

negative * positive = negative

5 0
3 years ago
Find a diginacci sequence with no equal term to 11: quick answer please
True [87]

Answer:

uhh hope this helps

Step-by-step explanation:

A Diginacci sequence is created as follows.

• The first two terms are any positive whole numbers.

• Each of the remaining terms is the sum of the digits of the previous

two terms.

For example, starting with 5 and 8 the Diginacci sequence is

5, 8, 13, 12, 7, 10,. . .

The calculations for this example are

5 + 8 = 13, 8 + 1 + 3 = 12, 1+ 3 +1+ 2 = 7, 1 + 2 + 7 = 10.

a) List the first 26 terms of the Diginacci sequence above.

b) Find, with explanation, two starting terms for a Diginacci sequence

so that its 2021st term is 11.

c) Find, with explanation, a Diginacci sequence that has no term equal

to 11.

d) Find, with explanation, a sequence with two different starting terms

which contains five consecutive terms that are even and not all identical

Both 2 and 3 is correct.

5 0
2 years ago
How many times does 3/4 go into 12
vitfil [10]

In other words 12 ÷ 3/4.

12 ÷ 3/4

12/1 • 4/3

48/3

Answer: 16

5 0
3 years ago
A certain function contains ordered pairs shown in the table at right. What is the slope of the line that represents this functi
Reika [66]

Answer:

xy3

Step-by-step explanation:

7 0
3 years ago
Hello anyone from newzealand?​
eimsori [14]

Answer: No I'm from New York

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Choose the correct term that makes the sentence true. The (greatest) (or) (least) of the common factors of two or more numbers i
    10·1 answer
  • In the parallelogram drawn for the parallelogram method, what does the diagonal between the two terminal points of the vectors r
    7·1 answer
  • Lorenzo purchased 12 cookies. He gave of the cookies to Celine and gave of the remaining cookies to Petra.
    12·1 answer
  • a gardener plants 36 tomato vines in 2 hours at this rate how many tomato Vines can the gardener plant in 5 hours
    9·1 answer
  • How much soup is in a quarter of a can 20cm. tall and with<br> diameter of 12cm?
    15·1 answer
  • Which one is bigger 9/10 or 19/20
    9·1 answer
  • Rewrite each fraction with a denominator of 24 2/3 and 5/8
    11·1 answer
  • Carly wants to fly to Canada, rent a car, and drive 568 miles to visit her sister in a truck that gets 21 miles per gallon. If g
    14·1 answer
  • Solve the following absolute value equation'
    10·2 answers
  • if Point p is located on the segment between point A (1,4) and point D (7,13) . The distance from A to P is twice the distance f
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!