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
Lina20 [59]
3 years ago
15

Patrick is building a patio in the shape of a decagon with a radius of 12 feet. To determine the amount of cement needed, he mus

t first find the area.

Mathematics
1 answer:
kupik [55]3 years ago
5 0

Answer:

The area of the Patrick's building is 2340.22 ft^2.

Step-by-step explanation:

Shape of the Patrick's building = Decagon

In the figure attached:

Radius of the decagon = r = 12 feet

Side of the decagon = a

Angle AOB = 36°

Using trigonometric ratio is triangle AOC :

AO = r = 12 feet

AC = \frac{a}{2}=0.5a

\tan \theta=\frac{Perpendicular}{base}

\tan 36^o=\frac{0.5a}{12 feet}

a=\frac{\tan 36^o\times 12 feet}{0.5}=17.44 feet

Area of decagon :

A=\frac{5}{2}a^2\times \sqrt{5+2\sqrt{5}}

A=\frac{5}{2}(17.44 ft)^2\times \sqrt{5+2\sqrt{5}}

A=2340.22 ft^2

The area of the Patrick's building is 2340.22 ft^2.

You might be interested in
PLZ SOLVE I BEG U
3241004551 [841]
The plane's airspeed is 140:)
8 0
3 years ago
What is an equation of the parabola with vertex at the origin and focus (0, 0.75)?
morpeh [17]

Answer:

x^{2} =3y

Step-by-step explanation:

Notice that the focus is a points on the vertical axis, that means the parabolla opens vertically, and has the form

x^{2} =4py

Because the parameter p is positive and equal to 0.75. Additionally, the vertex is at the origin, that's why the equation is this simple.

Replacing the parameter value, we have

x^{2} =4(0.75)y\\x^{2} =3y

Therefore, the equation of a parabolla with vertex at the origin and focus at (0, 0.75) is x^{2} =3y.

8 0
3 years ago
When 50 pounds of a compound are produced, the manufacturing cost is described by x
Paraphin [41]

Answer:

56

Step-by-step explanation:

i don't know

4 0
3 years ago
if the sum of 4 and a number is divided by that number, the result is the quotient of the number and find all such numbers
forsale [732]
4+X/X=X
4+X=X*X
when the answer fits the equation, the answer is correct
<span />
5 0
3 years ago
Hillary buys 3 pounds of Gala apples and some Granny Smith apples. Both kinds of apples cost $4.50 per pound. The total cost is
Elodia [21]

Answer:

24.75 = 3*4.50 + x*4.50

x= 2.5 pounds of Granny Smith apples

Step-by-step explanation:

Gala apples = 3 lbs

Granny apples = x lbs

They cost 4.50 a pound

Total cost = 24.75

Total cost = gala apples * cost per pound + granny apples * cost per pound

Substitute in what we know

24.75 = 3*4.50 + x*4.50

24.75 = 13.50 + 4.5x

Subtract 13.50 from each side

24.75-13.50 = 13.50-13.50 + 4.5x

11.25 = 4.5x

Divide by 4.50 on each side

11.25/4.5 = 4.5x/4.5

2.5 =x

6 0
3 years ago
Read 2 more answers
Other questions:
  • Whats the perimeter of a semicircle of 6cm​
    12·1 answer
  • Paul bought a student discount card for the buss. The card allows him to buy daily bus passes for $1.5. After one month, Paul bo
    13·1 answer
  • julia, keller and israel all made 219.75 dollars in total. keller made 37.50 and israel made 12 less than keller. what did each
    11·1 answer
  • What is the value of x in the solution to the following system of equations?
    6·1 answer
  • WILL GIVE BRAINLIEST!!! What is 3^10?
    13·1 answer
  • Classify the triangle by its sides and then by its angle
    11·1 answer
  • What is the volume of this cube?
    9·2 answers
  • Someone pls help this is a timed quiz
    11·1 answer
  • HELP PLEASE HELP ME i will give brainlist
    13·1 answer
  • PLS HELP PLS PLS PLS
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!