The answer is the last one f(x)=50(2)^x
To prove the SAS (side-angle-side) postulate, a. <XWY=<ZWY needs to be marked congruent. Since the segment WY=WY due to the reflexive property, we need an angle between them to prove SAS, which has to be XWY and ZWY.
I’m not sure what that is
Answer:
V = 5626.88 mm³
Step-by-step explanation:
radius r = 8 mm
height h = 28 mm
volume V = 5626.88 mm³
lateral surface area L = 1406.72 mm²
top surface area T = 200.96 mm²
base surface area B = 200.96 mm²
total surface area A = 1808.64 mm²
In Terms of Pi π
volume V = 1792 π mm³
lateral surface area L = 448 π mm²
top surface area T = 64 π mm²
base surface area B = 64 π mm²
total surface area A = 576 π mm²
Formula: Calculate volume of a cylinder:
V = πr²h
r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
Answer:
The constriction is 13.94 m high from point A
Step-by-step explanation:
When we apply energy relation between point A and point B, we get:
Pb/ρg + Vb²/2g= Pa/ρg + Va²/2g - Head Loss - h
where,
Pb = Pressure at constriction (B) = 180.3 KPa = 180300 Pa
Vb = Velocity at constriction (B) = (0.3 m³/s)/π(0.15 m)² = 4.24 m/s
Pa = Pressure at (A) = 345 KPa = 345000 Pa
Va = Velocity at (A) = (0.3 m³/s)/π(0.3 m)² = 1.06 m/s
g = 9.8 m/s²
ρ = density of water = 1000 kg/m³
Head Loss = 2 m
h = Height of constriction = ?
Therefore:
h = (Pa- Pb)/ρg + (Va² - Vb²)/2g - Head Loss
h = (345000 Pa - 180300 Pa)/(1000 kg/m³)(9.8 m/s²) + [(1.06m/s)² - (4.24 m/s)²]/2(9.8 m/s²) - 2 m
h = 16.8 m - 0.86 m - 2 m
<u>h = 13.94 m</u>