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:
Step-by-step explanation:
The two base angles are equal.
The vertex angle is 8x
The two base angles are 5x + 5x
The sum of all three angles = 180 degrees (all triangles make 180 degrees when their interior angles are added).
5x + 5x + 8x = 180
18x = 180
x = 180/18
x = 10
Therefore the vertex angle is 8*10 = 80 degrees
One of the base angles = 10* 5 = 50 degrees
The other base angle = 50 because the triangle is isosceles.
Answer:
Option 3,4,5 are correct.
Step-by-step explanation:
The system of equations are:

Multiply equation (2) with -3 and add with equation (1)

Value of y is 3
Putting value of y in eq(2)

Value of x is -2
So, Option 3,4,5 are correct.
Keywords: System of Equations
Learn more about System of Equations at:
#learnwithBrainly
Answer:
(d) £90
Step-by-step explanation:
Total raffle prize = £240
Ratio of sharing
Monika : Robert
3 : 5
The amount Monika get is calculated as
3/(3 + 5) × £240
= 3/8 × £240
= 3 × 30
= £90
Therefore, the amount Monika gets is £90
NIKKI PAID A WHOPPING 85
SAVING 15