1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zinaida [17]
3 years ago
9

Antonio's toy boat is bobbing in the water under a dock. The vertical distance HHH (in \text{cm}cmstart text, c, m, end text) be

tween the dock and the top of the boat's mast ttt seconds after its first peak is modeled by the following function. Here, ttt is entered in radians. H(t) = {5}\cos\left({\dfrac{2\pi}{3}}t\right) - {35.5}H(t)=5cos( 3 2π ​ t)−35.5H, left parenthesis, t, right parenthesis, equals, 5, cosine, left parenthesis, start fraction, 2, pi, divided by, 3, end fraction, t, right parenthesis, minus, 35, point, 5 How long does it take the toy boat to bob down from its peak to a height of -35\text{ cm}−35 cmminus, 35, start text, space, c, m, end text? Round your final answer to the nearest tenth of a second.
Mathematics
2 answers:
Daniel [21]3 years ago
4 0

Answer:

0.7 seconds

Step-by-step explanation:

musickatia [10]3 years ago
3 0

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

You might be interested in
WILL GIVE BRAINLIEST WILL GIVE BRAINLIEST
Alex73 [517]

Answer:

9

Step-by-step explanation:

7 0
2 years ago
1. Choose the correct answer. *
Alex777 [14]
The answer is just C your welcome
5 0
2 years ago
Please help with this
bixtya [17]
The answer is C. Opposite sides have the exact same slope, and the shape is a quadrilateral.
4 0
3 years ago
WILL GIVE BRAINLIEST! PLS HELP!!!
Dmitrij [34]

Answer:

140m

Step-by-step explanation:

multiply 50 and 4.2 which give you 210 then divide by 1.5 and your answer is 140m

4 0
3 years ago
according to the graph, what is the approximate average rate of change in the radius of the circle as the area increases from 3
slamgirl [31]

Answer: the answer is 0.125 foot per square foot

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Find the image of A(6, -4) after it is reflected over the line y = - 2, then reflected over the line x = 1. (-4, 6) (-4, 0) (-4,
    9·1 answer
  • I'LL WON'T BE OFFEND IF U DON'T HELP ME WITH THIS
    14·2 answers
  • There are more inches on a football field (100 yards) than there are centimeters on a 28 meter basketball court. True or false?
    14·1 answer
  • Compute (4.29×1015)⋅(1.77×10−4)
    5·2 answers
  • Dawn has to pay 10,990 for her college dorm room and tuition each year. About how much money does dawn spend the first 2 years o
    10·1 answer
  • how much more cinnamon the nutmeg does george use? show your work and wrote your answer is simplest form.
    8·1 answer
  • 2 diamond rings and 4 silver rings cost $1440. a diamond ring and a silver ring cost $660. how much does a silver ring cost?
    7·1 answer
  • B/-4 +10 =9<br>is the question ​
    10·1 answer
  • Is -4 1/3 and -1 3/4 the same
    8·1 answer
  • Round 8.96278650872 to the nearest millionth
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!