Answer: the depth of the trench is 3685 ft
Step-by-step explanation:
The hole is approximately 347 yards wide. This means that the diameter of the hole is 347 yards.
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder or hole.
h represents the height or depth of the cylinder or hole.
π is a constant whose value is 3.14
From the information given,
Volume = 348289500 ft³
Radius = diameter/2 = 347/2 = 173.5 ft
Therefore,
348289500 = 3.14 × 173.5² × h
348289500 = 94521.065h
h = 348289500/94521.065
h = 3685 feet
Answer:
x = 6
Step-by-step explanation:
PR / RQ = P'R' / R'Q'
x / 9 = 10 / 15
cross-multiply:
15x = 90
x = 90/15
x = 6
Answer: B
Step-by-step explanation:
Substituting into y=3x+b,
Answer:
{-π/2, π/2}
Step-by-step explanation:
Rewrite this as:
7sin^2 x - 14sin x + 7 = 0. Reduce this result by dividing all terms by 7:
sin^2 x - 2sin x + 1
Temporarily replace "sin x" with y:
y^2 - 2y + 1 = 0
Solve this through factoring: (y - 1)^2 = 0, or y - 1 = ± 0, or y = ±1
Recalling that y = sin x, we write
sin x = ±1, whose solutions are sin x = 1 and sin x = -1
The solution of sin x = 1 is π/2 and that of sin x = -1 is -π/2
and so the solution set is {-π/2, π/2}
