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dimaraw [331]
3 years ago
12

Find the area of an octagon whose perimeter is 120 cm.

Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer:

The area of an octagon whose perimeter is 120 cm is 1086.4 cm^{2}

Step-by-step explanation:

An octagon is a polygon with eight sides. If the lengths of all the sides and the measurement of all the angles are equal, the octagon is called a regular octagon.

There is a predefined set of formulas for the calculation of perimeter, and area of a regular octagon.

The perimeter of an Octagon is given by

P=8a

and the area of an Octagon is given by

A=2a^{2}(1+\sqrt{2})

We know that the perimeter is 120 cm, solving for side length (a) in the perimeter formula we get

120=8a\\\frac{8a}{8}=\frac{120}{8}\\a=15

Now, we calculate the area

A=2a^{2}(1+\sqrt{2})\\A=2(15)^{2}(1+\sqrt{2})\\A=450\left(1+\sqrt{2}\right)\\A\approx 1086.4 \:cm^{2}

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In a fruit basket containing apples and oranges,1/4 of the fruit are oranges.
Oxana [17]
None of these answers can be the answer okay so it should be 1/6
Therefore the answer is a.
To get this first you add 3+15=18
Next you divide it by 6, 18 divided by 6 =3
Therefore 1/6=3
I hope that this helped

6 0
3 years ago
the letters of the word independent are written on individual card and the cards are put into a box a card is selected and then
puteri [66]

Answer:

<em>The probability of obtaining the letter p twice is 1/121</em>

Step-by-step explanation:

<u>Probability of Recurring Events</u>

There are 11 letters in the word 'independent', one of which is the letter 'p'.

When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.

This means the individual probability of getting a 'p' is:

\displaystyle P_1=\frac{1}{11}

The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:

\displaystyle P_2=\frac{1}{11}

We'll use the multiplication rule. Just multiply the probability of the first event by the second.

\displaystyle P=P_1*P_2=\frac{1}{11}*\frac{1}{11}

\displaystyle P=\frac{1}{121}

The probability of obtaining the letter p twice is 1/121

6 0
2 years ago
Т.N лежи на отсечката AB, така, че AN:NB=7:4, AN=22,4dm. Дължината на отсечката AB
Lubov Fominskaja [6]
Yes um can you translate that?
7 0
2 years ago
What is the solution to the system that is created by the equation y= 2x + 10 and the graph shown below? (–8, –6) (–4, –2) (0, 2
Natasha_Volkova [10]

Answer:

The solution to the system that is created by the equation y = 2x + 10 is

( -8 , -6 )

Step-by-step explanation:

Given:

y = 2x + 10

Justification:

For a Point to be a solution of the system of the equation of a line then it must satisfy the equation by substituting the X coordinate and Y coordinate.

Left hand side  = Right-hand side

For point (–8, –6)

Put x = -8 and y = -6 in the given equation then

Left hand side = y

                        = -6

Right-hand side = 2× -8 + 10

                           = -16 + 10

                           = -4

∴ Left hand side = Right-hand side

∴ Point (–8, –6) is the Solution for y = 2x + 10

For points (–4, –2), (0, 2), and (2, 4)

Left hand side ≠ Right-hand side

∴ Points (–4, –2), (0, 2), and (2, 4) are not a Solution.

3 0
3 years ago
Read 2 more answers
Pls help 5285+974253=<br> A.979538<br><br> B.567543<br><br> C.566546
gayaneshka [121]

Answer:

979538 or A

Step-by-step explanation:

6 0
3 years ago
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