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:
B. No the ordered pair does not satisfy the equation
Step-by-step explanation:
y = -9x - 2
Substitute the point in and see if it is true
-37 = -9(4) -2
-37 = -36 -2
-37 = -38
This is not true so the point is not a solution
Answer:
Since both have equal length
9x - 2 = 6x + 13
9x - 6x = 13 + 2
3x = 15
x = 15/3
x = 5
Length of BC = 6(5) + 13 = 43 cm
Answer:
4 cm ×12 cm
Step-by-step explanation:
To find the dimensions of the sticker, start by forming 2 equations for its area and perimeter.
Perimeter of rectangle= 2(length +breadth)
Let the length and breadth of the rectangle be L and B cm respectively.
2(L +B)= 32
Divide both sides by 2:
L +B= 16 -----(1)
Area of rectangle= length ×breadth
LB= 48 -----(2)
From (1): L= 16 -B -----(3)
Substitute (3) into (2):
(16 -B)(B)= 48
Expand:
16B -B²= 48
B² -16B +48= 0
(B -4)(B -12)= 0
B -4= 0 or B -12= 0
B= 4 or B= 12
Substitute into (3):
L= 16 -4 or L= 16 -12
L= 12 or L= 4
Thus, the dimensions of the sticker is 4 cm ×12 cm.
The rate for 40 meters in 10 seconds is
40m/10sec (40 meters per 10 seconds)
You can turn it into a different unit of measurement by multiplication or division.
For example, if you want the rate in 1 second, you divide both units by 10 (because there are 10 seconds, and 10 ÷ 10 = 1).
40m/10sec then becomes
4m/1sec (4 meters per 1 second)
40 ÷ 10 = 4, and 10 ÷ 10 = 1
Or if you'd like it in minutes, you multiply both units by 6 (because there are 60 seconds in 1 minute, and 6 x 10 = 60).
40m/10sec becomes
240m/60sec = 240m/1min
40 x 6 = 240, 10 x 6 = 60 = 1 minute
