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
DiKsa [7]
3 years ago
5

You have 100 yards of fencing available to create an enclosure for farm animals. As the

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0
1. area of a pentagon when 1 side is x is \frac{x^2}{4}\sqrt{5(5+2\sqrt{5})}
so if perimiter is 100 then one side is 100/5 or 20
area will be \frac{20^2}{4}\sqrt{5(5+2\sqrt{5})}≈<span>688.2 square yards

2. area of a hexagon when 1 side is length x is \frac{3x^2\sqrt{3}}{2}
so if permiter is 100 then length of one side is 100/6 or about 16.666666666666
the area will be \frac{3(16.6666666)^2\sqrt{3}}{2}≈721.7 square yards

3. area of a regular octagon with side lenghts x is 2(1+\sqrt{2})x^2
so if 8 sides then side length of each is 100/8 or 12.5
area will be 2(1+\sqrt{2})12.5^2≈754.4 square yards


octagon wil have most space
you can tell because the more sides it has, the more it gets to a circle and the more area it encloses with a given perimiter
</span>
You might be interested in
What is the relationship between the number of sides of the base of a prism and the number of lateral faces? The number of sides
slamgirl [31]

Answer:

Every prism has as many faces, and edges, as its base has sides. Thus, a prism with an octagonal (eight sided) base has eight lateral faces, and eight lateral edges. Each lateral face meets two other lateral faces, as well as the two bases. As a consequence, each lateral face is a four sided polygon.

5 0
3 years ago
Read 2 more answers
PZLZZ ANS SNEJSJDJSWJEJSJSH PLZZZ
jolli1 [7]
One cubic foot of sand should be $11.25. You can find this answer by dividing the first price by 3, because there are 3 feet in a yard.
8 0
3 years ago
A support wire is attached to the top of a tower that is 65 feet tall as shown. If the wire makes an angle of 34 degree with the
Maru [420]
Answer:
length of wire = 116 ft

Explanation:
The attached image shows a diagram on the scenario given.

Now, we can note that the string forms a right-angled triangle with the tower and the ground. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

Now, from the given, we can find that:
θ = 34°
opposite is the tower = 65 ft
hypotenuse is the string length that we want to find

Substitute with the givens in the sin function to get the length of string as follows:
sin (34) = 65 / string
string = 65 / sin(34)
string = 116.2 which is approximately 116 ft

Hope this helps :)

8 0
3 years ago
Solve the following equation for B be sure to take into account whether a letter is capitalized or not.
const2013 [10]

Answer:

B = <u>d - 3f²</u>

         5M

Step-by-step explanation:

d -3f² = 5 B B

5 BM = d - 3f²

B = <u>d - 3f²</u>

         5M

6 0
3 years ago
Read 2 more answers
Aunty Joan packs a packet of sweets to Alice and Olivia. Alice and Olivia share sweets in the ratio 7:3. Alice gives 3 sweets to
aivan3 [116]

Initially, Alice had 28 sweets and Olivia 12 sweets.

Step-by-step explanation:

First assume that Aunty Joan has x number sweets.

Alice and Olivia shared the x sweets in a ration of 7:3, this means

Alice had 7/10 x sweets and Olivia had 3/10 sweets.

Alice gives 3 sweets to Olivia, Alice will remain with ;

\frac{7}{10} x-3

Then the new ratio changes to 5:3 which means Alice will have 5/8 x number of sweets.

Equate the number of sweets for Alice in the two cases, which is

\frac{5}{8}x=\frac{7}{10} x-3\\ \\\frac{7}{10} x-\frac{5}{8} x=3\\

\frac{56x-50x}{80} =3\\\\\\\frac{6}{80} x=3\\\\\\6x=80*3\\\\\\x=240/6\\\\x=40

So there were 40 sweets at first

Using the ratio of 7:3 then

Alice had 7/10 *40 = 28 sweets

Olivia had 3/10*40= 12 sweets

Alice gave Olivia 3 sweets, so she will remain with 28-3 =25 sweets. Olivia will now have 15 sweets.The new ratio will be 25:15 simplified as 5:3.

Learn More

Ratio : brainly.com/question/11095585

Keywords : Ratio

#LearnwithBrainly

5 0
3 years ago
Other questions:
  • Solve 14n+6p-8n=18p for n
    12·1 answer
  • What property of equality is 15v-55=-10
    6·1 answer
  • What’s 8765 times 9876
    13·2 answers
  • Every summer I drive to Michigan. It is 3900km to get there. If I average 100km/hr, how much time will I spend driving?
    5·1 answer
  • Find the volume of this triangular prism if b = 10, h = 6 and L = 11
    9·1 answer
  • What is the correct integer for the following: a deposit of $1000?
    11·1 answer
  • Help me out please an thank you
    12·2 answers
  • A farmer sells 8.3 kilograms of apples and pears at the farmer's market. 1/4 of this weight is apples, and the rest is pears. Ho
    12·1 answer
  • 2x+1=(-3)<br>what is the value of x??????​
    5·1 answer
  • What is 37 divided by 2 but with a remainder??
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!