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
Ket [755]
3 years ago
10

A rope 10 feet long is cut into two pieces. One piece is used to form a circle and the other used to form a square. Find a funct

ion representing the area of both square and circle as a function of the length of one side of the square.
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0
10-x=C=2πr

(10-x)/(2π)=r

A=π(100-20x+x^2)/(4π^2)

A=(x^2-20x+100)/(4π)

...

x/4=s, x=4s  using this in the area of a circle we get:

A=(16s^2-80s+100)/(4π)

A=(4s^2-20s+25)/π

And of course the area of a square is s^2

A=(4s^2+πs^2-20s+25)/π
You might be interested in
How do you solve age word problems
Anna71 [15]
These videos might help you

https://www.khanacademy.org/math/algebra/systems-of-linear-equations/systems-of-linear-equations-wor...

5 0
3 years ago
Naomi is doing a report about the 1900 and 1904 olympic games. Each page will contain information about 4 of the countries that
hammer [34]

Answer:

The correct answer is the equation stands as 4x =40 where x is the number of pages Naomi would require and the value of this x is 10.

Step-by-step explanation:

Number of countries that competed in 1900 summer Olympic games is 28.

Number of countries that competed in 1904 summer Olympic games is 12.

Total number of countries competed in total is 40.

Each page of Naomi's report contains  information about 4 of the countries that competed each year.

Let Naomi need x number of pages to incorporate the whole report.

Thus the equation now stands as 4 × x = 40.

⇒ x = 10.

Thus Naomi would require 10 pages to complete her report.

8 0
3 years ago
Write an expression to represent the perimeter of the figure.
r-ruslan [8.4K]

Answer:

5x + 2y + z

Step-by-step explanation:

The perimeter of a polygon is the sum of the lengths of all the sides of the polygon. This polygons has 8 sides. Their lengths are:

x, x, x, x, x, y, y, z

The perimeter of the polygon is the sum of the lengths shown above.

perimeter = x + x + x + x + x + y + y + z

The expression above can be simplified by combining like terms.

perimeter = 5x + 2y + z

4 0
3 years ago
Susan had four boxes of cereal in her pantry. If she went through 7/2 boxes in a month, how many boxes of cereal remain?
Serggg [28]

Answer: she has 1/2 of a box left

Step-by-step explanation: hope it helped

7 0
3 years ago
An account earns a simple interest.
shtirl [24]
Interest is $336

Account balance is $1036 at the end of 6 years
6 0
3 years ago
Other questions:
  • A circle centered at the origin has a radius of 1/2 .<br><br> What is the equation of the circle?
    15·1 answer
  • If an item is 30% off and 350 how much is the original price
    15·1 answer
  • Lucy’s savings account has 35% more money than her sister Edy’s. Together, the girls have saved a total of $206.80.
    7·1 answer
  • PLEASE ANSWER THIS QUESTION ASAP!!!!
    8·1 answer
  • At Moe's Pizza, the total price for an order of pizzas can be represented by the expression $15l + $12m + $8s, where l is the nu
    9·1 answer
  • 1.
    6·1 answer
  • Mary walks from comer D to comer E to comer F on a city block that measures 264 feet wide and 900 feet long. Kate walks
    12·2 answers
  • Madison is making a place mat. She divides it into 6 equal parts to colors. What is the name for the parts?
    6·1 answer
  • A box is filled with 9 red crayons, 5 blue crayons, and 8 yellow crayons.
    13·2 answers
  • I need help plzzzzzz​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!