Answer:
x = (180-147)/3
x = 11
Step-by-step explanation:
perimeter of the sector is the sum of the lengths of all its boundaries.thus the perimeter of the sector is L+2r units. θ 360 × 2 π ( r ) + 2 r That would be the length of the arc in the first part and twice the radius in the second part.
1 combine like terms
4x - 3x = x
8y+2y=10y
2. Simplify the equation
x+10y
Answer:
HCFD
Step-by-step explanation:
a² + b² = c² => a² = c² - b² => a = √(c² - b²)
=> the height of the window = √[(the given length of the latter)² - (the distance from the latter to the base of the building, 3.5 meters)²]
A) √(5.5² - 3.5²) ≈ 4.24 => H
B) √(8.8² - 3.5²) ≈ 8.07 => C
C) √(9.3² - 3.5²) ≈ 8.62 => F
D) √(7.9² - 3.5²) ≈ 7.08 => D
Assuming Earth's gravity, the formula for the flight of the particle is:
s(t) = -16t^2 + vt + s = -16t^2 + 144t + 160.
This has a maximum when t = -b/(2a) = -144/[2(-16)] = -144/(-32) = 9/2.
Therefore, the maximum height is s(9/2) = -16(9/2)^2 + 144(9/2) + 160 = 484 feet.