Answer:
- Abel is 7 and Asare is 17 years old
Step-by-step explanation:
Let the age of Abel is x and age of Asare is y.
Three times the age of Abel is four more than the age of Asare:
And
In three years, the sum of their ages will be 30 years:
We got two equations.
Simplify and solve by substitution:
- 3x - 4 + x = 24 Substitute y
- 4x - 4 = 24
- 4x = 28
- x = 7
Find y:
Answer:
y = 6cos(π/2)t
Step-by-step explanation:
Given in the question that,
in a simple harmonic motion in which
at t=0 the amplitude is 6 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.
And,
the period is given as 4 sec
We know that model equation of simple harmonic motion is
<h3>y = a. cosb(t + c) + d</h3>
here,
a is amplitude
c is Horizontal shift or phase shift
d is Vertical shift
<h3>Step1</h3><h3>Find b</h3>
Period = 2 π / b
4 = 2π / b
b = 2π/4
b = 1π/2
<h3>Step2</h3><h3>Find shifts</h3>
Horizontal and vertical shifts are 0.
So, c = 0 and d = 0
<h3>Step3</h3><h3>Plug those values in the above in the equation</h3>
y = 6cos π/2 (t + 0) + 0
y = 6cos(π/2)t
Answer:
<u>12,240 meters</u>
Step-by-step explanation:
Since sound travels 340 meters per second, you multiply 340 by 36 seconds, and get the answer of <u>12,240 meters.</u>
