Answer:
D. 7.5 inches
Step-by-step explanation:
So, we can find the ratio of the big triangle to the small one by dividing the values of the hypotenuse.
So, 18/6 = 3
Big:small = 3:1
So, using this we can make an equation to find AD.
Let's say ED=x.
AD is basically ED (x) + AE (5).
Since ED is part of the small triangle, and AD is part of the big one, we can use the 3:1 ratio from above.
So, 
=3.
Multiply both sides by x, getting x+5 = 3x.
Subtract the x: -x -x
And you get 5=2x, giving you 2.5 = x.
However, we're not done yet, as 2.5 is the value of ED, but we need AD.
Remember, AD is = ED + AE.
So, AD = 2.5 + 5.
Finally, AD = 7.5
Answer:
B. d = 4 cos(π/3 t)
Step-by-step explanation:
As at t=0 the amplitude is 4 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.
sin 0=0
We know that,
y = a. cosb(t + c) + d
Period = 2 π / b
Horizontal shift or phase shift is c,
Amplitude is a,
Vertical shift is d.
As in this case the amplitude is given to be 4, hence = 4
Also the period is given as 6.
That is, 2π/b = 6
b = 2π/6 = π/3
Here horizontal and vertical shifts are 0.
That is c = 0 and d = 0
Plug those values in the above form, we get
y = 4.cos π/3 (t + 0) + 0
y = 4 cos (π/3)t
Answer: B. d = 4 cos(π/3 t)
Hope this will helpful.
Thank you.
Answer:
Option A is the correct answer
Step-by-step explanation:
