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
Yeah y=9
hope this helped even tho I’m kinda late haha
Note: This is the answer if you are talking about a triangle because you didn't specify that.
A=30°
I'm going to assume this is a triangle so if I'm wrong tell me in the comments. If it is a triangle all the angles should add up to 180 degrees. We already know that one is 90 so the other two angles have to add up to 90 (since 90+90=180). C is twice as much as A. So 1/3 of 90 is A and 2/3 of 90 is C. <em>A would be 30°</em>. In summary A=30° B=90° C=60°. Hopefully I understood your question correctly and this helped you. Also sorry it took a while to answer.
Mark has to ride 50 kilometers. He already rode 18.23 and 13.94.
18.23km+13.94km=32.17km
50km-32.17km=17.83km
Mark will have to ride 17.83km more. The correct answer is B.
