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
IceJOKER [234]
2 years ago
6

A swimming pool has a diameter of 24 feet. What is the minimum amount of fabric needed to cover the pool if the cover must hang

off by 1 foot all around the pool?
Mathematics
1 answer:
Alika [10]2 years ago
5 0

Answer:

531.167 ft²

Step-by-step explanation:

Given data

Dimension of pool

Diameter =24ft

Radius =12ft

If the cover must hang by 1ft around, then the diameter is 26ft

Radius =13ft

Area of cover = πr²

Substitute

Area = 3.142*13²

Area =3.143*169

Area =531.167 ft²

Hence the minimum area is 531.167 ft²

You might be interested in
Solve for x in the equation x squared + 11 x + StartFraction 121 Over 4 EndFraction = StartFraction 125 Over 4 EndFraction.
Ira Lisetskai [31]

Answer:

Below

Step-by-step explanation:

● x^2 + 11x + 121/4 = 125/4

Substract 125/4 from both sides:

● x^2 + 11x + 121/4-125/4= 125/4 -125/4

● x^2 + 11x - (-4/4) = 0

● x^2 +11x -(-1) = 0

● x^2 + 11 x + 1 = 0

This is a quadratic equation so we will use the determinanant (b^2-4ac)

● a = 1

● b = 11

● c = 1

● b^2-4ac = 11^2-4*1*1 = 117

So this equation has two solutions:

● x = (-b -/+ √(b^2-4ac) ) / 2a

● x = (-11 -/+ √(117) ) / 2

● x = (-11 -/+ 3√(13))/ 2

● x = -0.91 or x = -10.9

Round to the nearest unit

● x = -1 or x = -11

The solutions are { -1,-11}

6 0
3 years ago
Read 2 more answers
The sum of three numbers is 51 . the second number is 2 times the third. the third number is 9 more than the first. what are the
hammer [34]
X+y+z=51

y=2z
z=9+x

subsitute those

x+2z+9+x=51
x+2(9+x)+9+x=51
x+18+2x+9+x=51
4x+27=51
minus 27 both sides
4x=24
divide by 4
x=6

sub back

z=9+x
z=9+6
z=15

y=2z
y=2(15)
y=30

the numbers are
6,30,15
8 0
3 years ago
Read 2 more answers
(x+2)(x-3)(x+5) is identical to x^(3)+ax^(2)-11x+b<br> Find the value of a and the value of b
lutik1710 [3]

Answer:

a = 4 and b = - 30

Step-by-step explanation:

Expand the left side and compare like terms on both sides, that is

(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL

= (x² - x - 6)(x + 5) ← distribute

= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms

= x³ + 4x² - 11x - 30

Compare like terms with x³ +ax² - 11x + b

4x² and ax² ⇒ a = 4

+ b and - 30 ⇒ b = - 30

3 0
3 years ago
Write 180 feet per 12 seconds as a unit rate
Ber [7]
15ft per sec would be the unit rate.
7 0
3 years ago
The sum of two numbers is 56. One number is 3 times as large as the other. What are the numbers?
MissTica
42 and 14

explanation:

x+y = 56
x = 3y

Substitute for x in the first equation:
x + y = 56
x = 3y
3y + y = 56
Combine like terms:
4y = 56
Divide both sides by 4:
y = 14

So if y = 14, and x = 3y, then x = 42.

Now substitute for both x and y in both of the original equations to prove they are the correct values.

x + y = 56
x = 42
y = 4
42 + 14 = 56
56 = 56

x = 3y
x = 42
y = 14
42 = 3*14
42 = 42

So the two numbers, x and y, are 42 and 14.
8 0
2 years ago
Read 2 more answers
Other questions:
  • HELP FAST PLEASE HURRY I NEED IT TO BE RIGHT
    10·1 answer
  • Un taxi de la empresa “El rápido” se desplaza hacia el sur a una velocidad comprendida entre 60 km/h y 80 km/h. ¿Entre que valor
    6·1 answer
  • a teacher buys a 128-ounce bottle of juice and serves it in 5-ounce cups. What are the possible numbers of cups she can fill?
    6·2 answers
  • A red ballon starts at 7 meters off the ground and rises at 3 meters per second. A ballon starts at 12 meters off the ground and
    14·1 answer
  • What is the absolute value of -4.5
    10·2 answers
  • Please can someone help me with this maths question :<br> Estimate 253 divided by 0.46
    15·2 answers
  • A cookie recipe uses V2 teaspoon of vanilla with 3/4 cups of flour. How
    10·1 answer
  • In which number does the digit 5 have ten times the value of the digit 5 in 1,452
    14·1 answer
  • Which of the points below does not belong?<br> (0, -3)<br> (0, 0)<br> (4, -3)<br> (4,0)
    8·1 answer
  • Look at image............
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!