Answer:
D. 12, 15, 25
Step-by-step explanation:
The triangle leg rule states that the smaller two lengths must add up to be greater than the largest length.
This means that the first two values must add up to be greater than the final value.
12 + 15 = 27
27 > 25
So, your answer is D
Answer:
x=6
Step-by-step explanation:
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Answer:
Step-by-step explanation:
A tank contains 240 liters of fluid in which 20 grams of salt is dissolved.
- Volume of the tank = 240 liters
- Initial Amount of Salt in the tank, A(0)=20 grams
Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 6 L/min
(concentration of salt in inflow)(input rate of fluid)
(concentration of salt in outflow)(output rate of fluid)
Rate of change of the amount of salt in the tank:
We then solve the resulting differential equation by separation of variables.
Taking the integral of both sides
Recall that when t=0, A(t)=20 (our initial condition)
The answer is 2 1/2 because you take the number of steps which is 13,200 and divide it by how many feet are in a mile which is 5,280.
Arcsin x + arcsin 2x = π/3
arcsin 2x = π/3 - arcsin x
sin[arcsin 2x] = sin[π/3 - arcsin x] (remember the left side is like sin(a-b)
2x = sinπ/3 cos(arcsin x)-cosπ/3 sin(arc sinx)
2x = √3/2 . cos(arcsin x) - (1/2)x)
but cos(arcsin x) = √(1-x²)===>2x = √3/2 .√(1-x²) - (1/2)x)
Reduce to same denominator:
(4x) = √3 .√(1-x²) - (x)===>5x = √3 .√(1-x²)
Square both sides==> 25x²=3(1-x²)
28 x² = 3 & x² = 3/28 & x =√(3/28)
