I think it's like 2.739 × 10
Answer:
volume of the tank be when the sensor turns on = 92.316 ft³
Step-by-step explanation:
Volume of a cylinder = πr²h
Pi = π = 3.14
Radius = r = 7 ft
Height = h = 3 ft
Volume of a cylinder = πr²h
= 3.14 × 7² × 3
= 3.14 × 49 × 3
= 461.58 ft³
The tank comes equipped with a sensor to alert the farmer to fill it up when the water falls to 20% capacity.
volume of the tank be when the sensor turns on = 20% of Volume of a cylinder
= 0.20 * 461.58 ft³
= 92.316 ft³
volume of the tank be when the sensor turns on = 92.316 ft³
Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
2(x + 3) = 18
2x + 6 = 18
- 6 =
2x = 12
Divide 2
x = 6
Answer: option d
Step-by-step explanation:
Remember the identity:
The inverse of the tangent function is arctangent. You need to use this to calculate the angle "S":
Knowing that: you need to find the measure of the angle "S" , 
(which is the adjacent side) and 
(which is the opposite side), you can sustitute values into
Then, you get that the measure of "S" rounded to the nearest tenth is:
