Answer:
7y + 2x + 34 = 0
Step-by-step explanation:
The gradient for perpendicular, m = -2/7
The formular equation, y - y1 = m(x - x1)
The equation of line through (4, -6) is:
y - (-6) = -2/7(x - 4)
y + 6 = -2x/7 + 8/7
7y + 42 + 2x - 8 = 0
7y + 2x + 34 = 0
Answer:
60 feet
Step-by-step explanation:
6 + 4 + 10 = 20 yards
20 yards = 60 feet (20 * 3 feet = 60 -> 3 feet in a yard)
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
For the rectangle you add 12 plus 9 to get 21 then multiply by 24 to get 288. then. you multiply 15 times 9 to get 135 then divide by 2 to get 67.5 for the top triangle. you then add 12 and 9 together to get 21 and multiply that by 15 to find the middle rectangle then you get 315. you then add all of the final values together to get 670.5 square units