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
vitfil [10]
2 years ago
5

A playground is in the shape of a square with each side equal to 109 yards. It has skating rinks in the shape of the quadrants o

f a circle at each corner. If the area of the remaining field is 9055, find the radius of each skating rink. Also, find the cost of cementing the skating rinks at $2.50 per square yards. Use = 3.14.

Mathematics
1 answer:
BARSIC [14]2 years ago
7 0

Answer:

Part 1) r=30\ yd

Part 2) \$7.065

Step-by-step explanation:

Part 1)

Find the radius of each skating rink

we know that

The area of the playground (complete square) minus the area of four quarter of circle (one complete circle) must be equal to 9,055 square yards

so

9,055=(109^2)-\pi r^{2}

Solve for r

9,055=11,881-\pi r^{2}

\pi r^{2}=11,881-9,055

\pi r^{2}=2,826

substitute the value of pi

(3.14)r^{2}=2,826

r^{2}=2,826/3.14

r^{2}=900

r=30\ yd

Part 2) Find the cost of cementing the skating rinks

Multiply the area of one circle (four quarters) by $2.50 per square yards

(3.14)(30^2)(2.50)=\$7.065

You might be interested in
Simplify the expression below.
QveST [7]

Answer:

(c)

Step-by-step explanation:

x^3+3 = x^6

hope it helped :)

5 0
2 years ago
Find the 78th term of the arithmetic sequence –4,-2,0,...
MArishka [77]

The number is increasing by 2 every time.

78 x 2 = 156

-4 + 156 = 152

The 78th term is 152

8 0
2 years ago
Parallel to y - 2x = 4 and passes through (0,5)
wolverine [178]

Answer:

y=2x+5

Step-by-step explanation:

y=2x+4 means that the slope is m1=2

A parallel line shall have the same slope so

m2=m1=2

Therefore, the equation of the new line will be

y=2x+q

where q is the y-intercept, that is 5 because the line must pass in (0,5), so

q=5

and

y=2x+5

4 0
2 years ago
The graph shows the favourite colours chosen by some middle school students. Which statement is supported by the information in
ivanzaharov [21]

Answer:

A is incorrect. 34% of the students chose red, yellow, or orange.

Step-by-step explanation:

answer will be updated when more options are given.

6 0
2 years ago
Which number line shows the given inequality? <br><br> m &lt; 7.5
nekit [7.7K]
It's A because 7.5 is the starting point but it's not included so that point is circled.
7 0
3 years ago
Read 2 more answers
Other questions:
  • Team bear s kite is 4.5 ft long and 3.5 ft across. how much fabric does it take to make their kite?
    7·2 answers
  • How do you write the equation of this description: the graph of a parabola has a vertex of (2,3) and vertically stretched by 3
    10·1 answer
  • Quiana took out a loan to pay for a new car initially she owed the lender 15,234.68. she has repaid 247.43 of the loan each mont
    6·1 answer
  • Which of the following is the simplest form of this expression?
    9·1 answer
  • Slope between (-3,-3) and (-5,-2)
    15·1 answer
  • Write 29/20 as a percentage​
    15·1 answer
  • Someone please help<br> Find the common difference of 49, 43, 37
    13·1 answer
  • Kenny is a professional bass fisherman. To get the best fishing spot in a tournament, he has to drive really fast. The best fish
    6·1 answer
  • Simplify the following algebraic expression
    10·2 answers
  • On the set of axes below, solve the following system of equations graphically and state the coordinates of all points in the sol
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!