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
Hatshy [7]
3 years ago
9

A regular octagon with sides of length 7 and an apothem of length 10.49 has an area of how many square units

Mathematics
1 answer:
Ray Of Light [21]3 years ago
6 0

Answer:

The area of the regular octagon is 293.72\ units^{2}

Step-by-step explanation:

we know that

The area of the regular polygon is equal to

A=\frac{1}{2}Pa

where

P is the perimeter of the regular polygon

a is the apothem

<em>Find the perimeter P</em>

P=8(7)=56\ units

Find the area

A=\frac{1}{2}(56)(10.49)=293.72\ units^{2}

You might be interested in
Anec 2 Matemáticas
Rama09 [41]

Answer:

a) 1 : 100

1 cm en el mapa equivalen a 100 cm en la realidad

b) 1 : 1000

1 cm en el mapa equivalen a 1000 cm en la realidad

c) 1 : 2000

1 cm en el mapa equivalen a 2000 cm en la realidad

d) 1 : 18000

1 cm en el mapa equivalen a 18000 cm en la realidad

Step-by-step explanation:

Tenemos 4 escalas :

a) 1 : 100

b) 1 : 1000

c) 1 : 2000

d) 1 : 18000

Definimos ''escala'' como una relación entre dos números ''a'' y ''b'', generalmente ''a'' y ''b'' son números naturales. Denotamos la escala como :

a : b

En dónde ''a'' representa la longitud del dibujo y ''b'' la longitud real.

Por ende, cuando a estamos en presencia de una escala de reducción y cuando a>b estamos en presencia de una escala de ampliación.

La escala a=b ó 1 : 1 se define como escala natural.

Analicemos cada caso :

a) 1 : 100

Aquí vemos que es una escala de reducción (dado que 1 < 100) por ende cualquier magnitud de longitud en el mapa será 100 veces más grande en la vida real.

En este caso, 1 cm en el mapa equivalen a 100 cm en la realidad.

Análogamente y con el mismo razonamiento, escribimos las relaciones para los casos b), c) y d)  

b) 1 cm en el mapa equivalen a 1000 cm en la vida real

c) 1 cm en el mapa equivalen a 2000 cm en la vida real

d) 1 cm en el mapa equivalen a 18000 cm en la vida real

b), c) y d) también representan escalas de reducción.

7 0
3 years ago
How much money should be deposited today in an account that earns 6% compounded monthly so that it will accumulate to $1000000 (
aleksandr82 [10.1K]

Answer:

The principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

Step-by-step explanation:

Given

  • Accrued Amount A = $1000000
  • Interest rate r = 6% = 0.06
  • Time period t = 45 years
  • Compounded monthly n = 12

To determine:

  • Principle amount P = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

P\:=\frac{A}{\left(1\:+\:\frac{r}{n}\right)^{nt}}

substituting A = 1000000, r =  0.06, t = 45, and n = 12

P\:=\frac{1000000}{\left(1\:+\:\frac{0.06}{12}\right)^{12\cdot 45}}\:

    =\frac{1000000}{1.005^{540}}

P = 67659.17 $

Therefore, the principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

7 0
3 years ago
Y+5<br> ——=0 solve for y<br> X-1
Ira Lisetskai [31]

Answer:

y = -5

Step-by-step explanation:

see the pic for the steps . .

5 0
3 years ago
Write a translation rule that maps point D(7,-3) onto point D'(2,5).
Sergio039 [100]
We are given D (7, -3) and D'(2, 5).

SAppy the transformation
D'(x,y) → D(x-5, y+8).
Then 
x=7 → x=7-5 = 2
y=-3 → y=-3+8 = 5

Answer: D (x-5, y+8) → D'
6 0
3 years ago
Read 2 more answers
A factory employs over 3000 workers, of whom 30% are women. If the 15 members of the union executive committee were chosen from
ira [324]

Answer:

I think 4000 worker and I will be there at some point today and I

5 0
2 years ago
Other questions:
  • Colton purchased a sofa originally priced at $540 for 30% off. What was the sale price of the sofa?
    15·2 answers
  • 12.4 x -1.35 <br> A. 1.674 <br> B. -16.74 <br> C. -1.674 <br> D. 16.74
    5·1 answer
  •  A plane pencil and a colored pencil together cost 30 cents The colored pencil cost 10 Cents more then the plane pencil how
    15·1 answer
  • A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Question 2 options:
    13·1 answer
  • Please help with these linear equations
    15·1 answer
  • Answers for the 2 boxes please :)​
    12·2 answers
  • The graph of linear f passes through the point 1 -9 and has a slope of -3 what is the zero of f
    7·1 answer
  • What is 25 hours past 9:00 A.M.?​
    11·2 answers
  • 57 multiplied 2794?<br> IXL question
    9·1 answer
  • (√2)^3
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!