Very easy:
Find volume by formula: W*H*L
6*5*4=120
10*10*2=200
120+200=320 cubic inches for first question
Answer:
9 in approx
Step-by-step explanation:
Step one:
given data
the shape of the satellite dish takes the form of a paraboloid.
the diameter of the dish is 38in wide
and 10 inches deep.
step two:
The expression for the paraboloid is
where y is the vertical axis of the paraboloid
a is vertex to focus.
and x is the radius of the dish
x= 38/2= 19in
substituting we have
divide both sides by 40
vertex to focus= 9 in approx
Answer:
10 -16 i
Step-by-step explanation:
given,
(3+ 4 i) + (7 − 20 i)
for the given complex number
if the number is added of subtracted the real part will add or subtract to the real part and imaginary will add or subtract to the imaginary part.
now
= (3+ 4 i) + (7 − 20 i)
= (3 + 7) + (4+(-20)) i
= 10 + (-16) i
= 10 -16 i
so, the given answer will be 10 -16 i
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)
