Answer:
d = 
Step-by-step explanation:
Given that W varies jointly as L and d² then the equation relating them is
W = kLd² ← k is the constant of variation
To find k use the condition W = 140 when d = 4 and L = 54, thus
140 = k × 54 × 4² = 864k ( divide both sides by 864 )
= k , that is
k = 
W =
Ld² ← equation of variation
Multiply both sides by 216
216W = 35Ld² ( divide both sides by 35L )
= d² ( take the square root of both sides )
d = 
I think it would be too confusing to type but it would look like this
Answer:
The fourth of twenty is 5
Step-by-step explanation:
The 4th of twenty implies that we divide the number twenty into 4 place, let's us divide it 4
20/4= 5
This problem bothers on on division of numbers and it requires proper understanding of words/terms associated with it.
Answer:
Formula for an opened end of a cylinder =

Closed at both end =

Opened at both end =

Step-by-step explanation:
Answer: infinitely many solutions
Step-by-step explanation: 6y = -3x + 30 rewrites to 3x + 6y = 30
1. align equations x + 2y = 10
3x + 6y = 30
2. multiply first equation by -3 to get -3x - 6y = -30
3. align equations -3x - 6y = -30
3x + 6y = 30
4. add the equations and you they cancel out, which means infinitely many solutions