Answer:
length= 3.7 ft.
Step-by-step explanation:
T= (square root of length) * k
1.8 seconds = (square root of 3) * k
k= 1.8 seconds / (square root of 3)
a.) T= (square root of 11) k
substituting k:
T=(square root of 11) * 1.8 seconds / (square of 3)
T= 3.4 seconds
b.) 2 seconds = (square root of length) k
substituting k:
2 seconds =(square root of length) 1.8 seconds / (square root of 3)
Divide the equation by 1.8 seconds / (square root of 3):
2 seconds / [1.8 seconds / (square root of 3)] = (square root of length)
10(square root of 3) / 9 = (square root of length)
square both sides:
100/7 ft= length
length= 3.7 ft.
Hope this helps.
Answer:
5.70456 slug
Step-by-step explanation:
Data provided in the question:
Dimensions of the room = 20 ft long, 15 ft wide, and 8 ft high
Now,
Volume of the room = 20 × 15 × 8
or
Volume of the room = 2400 ft³
we know,
Density of air = 0.0023769 slug/ft³
Therefore,
Mass of air in the room = Volume × Density
= 0.0023769 × 2400
= 5.70456 slug
again, we're assuming that both triangles are similar, and thus using proportions.
we do not use the -10, because whatever value "x" may be, can't be negative or even 0.
Step-by-step explanation:
= 4x( x -1) -7( x-1)
= 4x^2 -4x -7x +7
= 4x^2 -11x +7
