4/12 plus 9/12 =15/12=1 3/12 = 1 1/4
Answer:
Yes they are directly proportional quantities.
Step-by-step explanation:
We find the area of a square by;
A = length squared or (L)² , where 'L' stands for length and 'A' stands for area.
So Area = L²
Assume the length is a units and increase the length by 2 units
The initial area before increasing the length is a²
After increasing the length, the area becomes: (a + 2)² = a² + 4a + 4
Now we subtract the initial area from the final area and get;
(a² + 4a + 4) - a² = 4a + 4
So the new area increases by 4a + 4 units.
Hence, the area increases as the length increases implying that the area of a square is directly proportional to its length.
We denote this proportionality as;
A ∝ L
Answer:
I would answer if I could see the following expressions :)
Answer: Pressure(t) = 5mP*sin(191.08*t)
Step-by-step explanation:
The information we have:
Maximum pressure P = 5 mP
frequency = 1200Hz
Period = 1/frequency = (1/1200) seconds
when t = 0, P = 0, so we should use a sin function (because sin(0) = 0)
Then we can write this as:
Pressure(t) = P*sin(c*t)
where t is time in secnds, P is the maximum pressure 5mP, and c is a constant that depends on the period.
Pressure(t) = 5*sin(c*t)
knowing that the period is 1/1200 seconds, we have that:
c*1/1200 s = 2*3.14
c = 1200/(2*3.14) 1/s= 600/3.14 1/s
Our function is
Pressure(t) = 5mP*sin(191.08*t)
