The approximate length of rail that needs to be replaced is 7.1 ft
<h3>Length of arc</h3>
Since the pool is circular, the approximate length that needs to be replaced is an arc of length, L = Ф/360° × πD where
- Ф = central angle of rail section = 27° and
- D = diameter of circular pool = 30 ft
<h3>Approximate length of rail</h3>
So, substituting the values of the variables into the equation, we have
L = Ф/360° × πD
L = 27°/360° × π × 30 ft
L = 3/40 × π × 30 ft
L = 3/4 × π × 3 ft
L = 9/4 × π ft
L = 2.25 × π ft
L = 7.07 ft
L ≅ 7.1 ft
So, the approximate length of rail that needs to be replaced is 7.1 ft
Learn more about length of an arc here:
brainly.com/question/8402454
The simplified polynomial is; xy(x²y - xy² +1) and; the value when x=-3 and y=2 is; -186
From the polynomial given;
The polynomial can be factorised to yield a simpler form as follows;
This is so because, xy is a common factor.
The value is therefore;
- (-3×2)((-3)²2 - (-3×2²) +1)
= -186
Read more on polynomials;
brainly.com/question/2833285
Answer:
Step-by-step explanation:
Given:
1. 1/5x - 1/3y = -1
2. -3/4x +1/3y = 12
Multiplying equation 1 by 15 and equation 2 by 12
3. 3x - 5y = -15
4. -9x + 4y = 144
and then Solving both equations simultaneously, since x = -20 as stated in the question and by confirmation,
Using equation 3 or 4 to solve for y,
3(-20) - 5y = -15
-5y = 60 - 15
y = 45/-5
= -9
y = -9
Answer:
<h2>8h 35min</h2>
Step-by-step explanation:
Answer:
<h2>
11.11 square yard </h2>
Step-by-step explanation:
Step one:
given data
charges=$90
installation=$9 per square yard
total cost of installation= $810
let x represents the number of square feet
Step two:
The expression for the installation cost is given as
810=9x+90------------1
solve for x, collect like terms
810-90=9x
720=9x
divide both sides by 9 we have
x=720/9
x=11.11 square yard
