Answer: Time t = 33.0 seconds
Step-by-step explanation:
Given that the vertical distance H between the dock and the top of the boat's mast t seconds after its first peak is modeled by the function
H(t) = 5cos( 2π/3 t) − 35.5H
Where the maximum vertical distance = 5
At the down position, H(t) = 0
5cos( 2π/3 t) − (35.5/100)H = 0
5cos( 2π/3 t) − 0.355 × 5 =0
5cos( 2π/3 t) − 0.1775 = 0
5cos( 2π/3 t) = 0.1775
cos( 2π/3 t) = 0.1775/5
cos( 2π/3 t) = 0.355
2π/3 t = cos^-1 (0.355)
2π/3 t = 69.2
2πt = 69.2 × 3
2πt = 207.6
t = 207.6/2π
t = 33.0 seconds
Answer:
correct option is C. 3.7 km
Step-by-step explanation:
given data
A to Port B = 4.7 km
lighthouse = N73°E
lighthouse = N31°E
solution
we get here first
B and
here
A = 90 - 73 = 17°
B = 73 - 31 = 42°
and
sum of all angle 180° so
A +
17° + 42° +
C = 180°
solve it we get
C = 121°
Now we use here sin law that is
........................2
put here value and we get
solve it we get
b = 3,7 km
so correct option is C. 3.7 km
Answer:
<h2>Second choice.</h2>
Step-by-step explanation:
The given inequality is

Let's solve for 

Basically, the solution of the given inquality is set with all real numbers which are equal or less than -8. So, the solution must indicate a blue line starting at -8 pointing to its left.
Therefore, the second choice represents the solution to the given inequality.
Answer:
a) 1/10 x 5/10 = 1/20
b) 1/10 x 5/9 = 1/18
Step-by-step explanation:
Answer:
Step-by-step explanation:
5/6