Answer:
The equation that represents the motion of the string is given by:
.....[1] where t represents the time in second.
Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.
Substitute the given values in [1] we get;
or
(a)
The trigonometric function that models the motion of the string is given by:
(b)
Determine the amount of time t that it takes the string to be damped so that 
Using graphing calculator for the equation
let x = t (time in sec)
Graph as shown below in the attachment:
we get:
the amount of time t that it takes the string to be damped so that is, 0.5 sec
Answer:
255 m
Step-by-step explanation:
From the given question, the surface of the water body is the reference point. And this point is assumed to be 0, so that any distance above it is positive, and any distance below is negative. This is synonymous to the number line system.
Thus,
For the aircraft, its height = +200 m
For the submarine, its depth = -55 m
So that the difference between the submarine and aircraft can be determined as;
200 - (-55)
= 200 + 55
= 255 m
The distance between the submarine and aircraft is 255 m.
Hey there!!
Given equation :
( x - 1 ) / 4 = ( x + 2 ) / 3
First step we will need to take is to cross-multiply. In cross-multiplication, we will have t multiply the denominator with the numerator on both the sides. In this case, we will have to multiply 4 with x + 2 and 3 with x - 1.
... 4 ( x + 2 ) = 3 ( x - 1 )
... 4x + 8 = 3x - 3
Subtract 3x on both sides.
... x + 8 = -3
Subtract 8 on both sides
... x = - 11
Hope my answer helps!
Answer:
C
Step-by-step explanation:
ERROR
<span>A.three sides measuring 9 meters, 5 meters, and 5 meters
--> only one isosceles triangle
B.three sides measuring 6 inches, 3 inches and 9 inches
--> none triangle may be formed because 9 = 3 + 6 and there is a rule (the triangle inequality theorem) that states the length of any side must be less than the sum of the lengths of other two sides.
C.three angles measuring 25°, 25°, and 130°
--> 25 + 25 + 130 = 180 => you can construct many triangles with these angles
D.three angles measuring 55°, 25°, and 125°
--> 55 + 25 + 125 = 205 > 180 => you cannot construct any triangle with theses measures.
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