Since this is a isosceles triangle, x would be 50 degrees because 80 plus the two other angles which are equal (50) equals to 180 degrees
Answer: 87 feet
Step-by-step explanation:
The angle between the pilling is 60°
The adjacent side of the right angle is 150
So let the distance between the pilling be y, that is opposite side.
Opposite / adjacent = tan (60°)
y / 150 = tan (60)
y × tan (60°) = 150
Divide both side by tan (60°)
y = 150 / tan (60°)
y = 150 / 1.7321
y = 87 feet
Answer:
B and C
Step-by-step explanation:
We can just solve each to find which expressions are equal to 1.5.
A) 0.15 × 100 = 15
B) 15.0 ÷ 10 = 1.5
C) 0.15 × 10 = 1.5
D) 0.15 ÷ 10 = 0.015
E) 1.5 ÷ 100 = 0.015
From our results, we see that B and C are the only answers that equal 1.5.
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
