Answer:
Actual 2/3
30 inch. by 12 inch 240 inch²
30 inch. by 18 inch 360 inch²
12 inch. by 15 inch 120inch²
18 inch. by 15 inch 180inch²
Step-by-step explanation:
The answers are given in the same line .
Actual 1/3 2/3
30 inch. by 12 inch 120 inch² 240 inch²
30 inch. by 18 inch 180 inch² 360 inch²
12 inch. by 15 inch 60 inch² 120inch²
18 inch. by 15 inch 90 inch² 180inch²
We find the areas and multiply by 2/3 to get the answers
30 * 12= 360 inch²
2/3 * 360 = 240 inch²
30 * 18= 540 inch²
2/3 * 540 = 360inch²
12 * 15= 180 inch²
2/3 * 180 = 120 inch²
18 * 15= 270 inch²
2/3 * 270 = 180inch²
Answer:
x = 0
y = -4
negative 4 cuz the line goes down, meaning it's negative
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
Given:
The function is:
To find:
The value of 
.
Solution:
We have,
Putting 
, we get
On combining like terms, we get
Therefore, the required function is .
