Answer:
(1 cm)cos3πt
Step-by-step explanation:
Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft
where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.
Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations = 2 s
So, f = 3/2 s =1.5 /s = 1.5 Hz
Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm
h = Acos2πft
= (1 cm)cos2π(1.5Hz)t
= (1 cm)cos3πt
Answer:
3 cylinder will fill 9 cones with water
Step-by-step explanation:
This problem bothers on mensuration of slides, cone and cylinder
We know that the
Volume of a cylinder = πr²h
Volume of a cone = 1/3(πr²h)
Given that both cylinder and cone has same height and radius
From the given expression we can deduce that the cone is 3 times smaller than the cylinder in volume
So if 1 cylinder will fill 3 cones
Then 3 cylinders will fill x cones
By cross multiplication we have
x= 3*3cones
x= 9 cones
Hence 3 cylinder will fill 9 cones with water
Answer:
x = 40
y = 62
Step-by-step explanation:
I figured out the answer by finding the x on the left triangle first by writing an equation:
(3x - 18) + (x + 7) + (x - 9) = 180
once I worked that I plugged in the number which was 40.
Then for the triangle to the right I also plugged in the numbers for x and got 118 degrees I took 180 and subtracted 118 to get my answer of 62 for y.
Answer: i think its a function
Step-by-step explanation:
m = -1
Step-by-step explanation:
-16m = 7 + 9
-16m = 16
m = 16 ÷ -16
m = -1
