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
deff fn [24]
3 years ago
11

Antonio's toy boat is bobbing in the water next to a dock. Antonio starts his stopwatch, and measures the vertical distance from

the dock to the height of the boat's mast, which varies in a periodic way that can be modeled approximately by a trigonometric function. The vertical distance from the dock to the boat's mast reaches its highest value of -27 \text{ cm}−27 cmminus, 27, space, c, m every 333 seconds. The first time it reaches its highest point is after 1.31.31, point, 3 seconds. Its lowest value is -44\text{ cm}−44 cmminus, 44, space, c, m. Find the formula of the trigonometric function that models the vertical height HHH between the dock and the boat's mast ttt seconds after Antonio starts his stopwatch. Define the function using radians.

Mathematics
1 answer:
Firlakuza [10]3 years ago
7 0

Answer:

Step-by-step explanation:

Since we're given a time at which the height is maximum, we can use a cosine function for the model.

The amplitude is half the difference between the maximum and minimum: (-27 -(-44))/2 = 8.5 cm.

The mean value of the height is the average of the maximum and minimum: (-27 -44)/2 = -35.5 cm.

The period is given as 3 seconds, and the right shift is given as 1.31 seconds.

This gives us enough information to write the function as ...

  H(t) = (amplitude)×cos(2π(t -right shift)/period) + (mean height)

  H(t) = 8.5cos(2π(t -1.31)/3) -35.5 . . . . cm

You might be interested in
What is 2 2/5 as a decimal?
AlladinOne [14]

the correct answer is 2.40

7 0
3 years ago
Read 2 more answers
Name two solutions for each inequality.
ahrayia [7]
So,

#1: n  \geq 3 \frac{11}{16} + 4 \frac{1}{2}

Convert to like improper fractions.
n  \geq  \frac{59}{16} +  \frac{72}{16}

Add.
n  \geq  \frac{131}{16}\ or\ 8 \frac{3}{16}

So, one solution could be 8 \frac{3}{16}.

Another solution could by 9.  There is also 10, 11, 12, etc., and all numbers in between.


#2: k \ \textless \  6  \frac{2}{5} * 15

Convert into improper fraction form.
k \ \textless \ \frac{32}{5} * 15

Multiply.
\frac{(2^5)(3)(5)}{5}

Cross-cancel, and we have our final result.
(2^5)(3) = 96
k < 96

96 is not a solution.

95 is a solution.

So is 94, 93, 92, etc, and all numbers in between.
6 0
3 years ago
- 7.5 divided by - 2.5
amm1812
-7.5 / -2.5 = 3

------------
8 0
3 years ago
How many 1/4 cup servings are in 3 cups of pasta?​
4vir4ik [10]

Answer:

12

Explanation:

1/4 × 12 = 3

5 0
3 years ago
Read 2 more answers
Liv hizo un ponche al mezclar 2,8 litros de jugo de naranja, 0,75 litros de jugo de piña y 1,2 litros de ginger ale. Liv dividir
Juli2301 [7.4K]
Answer is 24............
5 0
3 years ago
Other questions:
  • A square has two sides on the lines x = 3 and y = 1. It has a vertex at (12,-8). What is the perimeter, in units, of the square?
    6·1 answer
  • candice bought 3 shirts. Each shirt cost the same amount and was discounted by 3.66. Candice paid a total of 62.31 before tax. H
    8·2 answers
  • QF Q2.) Solve the triangle.
    14·2 answers
  • Me podrian decir como se escriben los siguientes numeros en normal
    9·1 answer
  • .........................
    9·2 answers
  • The attendance at the art museum at the New Year's opening was 250 people. The attendance has been increasing at a rate of 3% ea
    13·1 answer
  • Marisa is alway)s looking for a great deal while shopping . She found a sale rack where all of the jeans are marked 40% off . He
    6·2 answers
  • Trigonometry can anyone help me out
    14·2 answers
  • Plz help
    11·1 answer
  • 5^2x = 3(2^x) find x please show steps
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!