Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5
1 answer:
Answer:
B = 1.875
Step-by-step explanation:
given that A varies directly as B and inversely as C then the equation relating them is
A = ← k is the constant of variation
to find k use the condition A = 12 when B = 3 and C = 2 , then
12 = ( multiply both sides by 2 to clear the fraction )
24 = 3k ( divide both sides by 3 )
8 = k
A = ← equation of variation
when A = 10 and C = 1.5 , then
10 = ( multiply both sides by 1.5 )
15 = 8B ( divide both sides by 8 )
1.875 = B
You might be interested in
Answer:
The power of horse is: P = 72000 W
Step-by-step explanation:
Given
- F = 1800 N
- v = 40.0 m/s
To determine
P = ?
Using the formula
The ⋅ in the formula represents a scalar product, defined by:
The angle Ф is zero because F and v are are parallel.
Thus the cosine is 1.
Therefore,
P = (1800) (40.0)
P = 72000 W
Hence, the power of horse is: P = 72000 W