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
Dima020 [189]
3 years ago
13

A certain bay with very high tides displays the following behavior. In one 12-h period the water starts at mean sea level, rises

to 21 ft above, drops to 21 ft below, then returns to mean sea level. Assuming that the motion of the tides is simple harmonic, find an equation that describes the height of the tide in this bay above mean sea level. (Let y be the height above sea level in feet, and t the number of hours since the start of the 12-h period.)
Mathematics
1 answer:
Firdavs [7]3 years ago
7 0

Answer:

the required equation is; y = 21 sin(πt/6)

Step-by-step explanation:

Given the data in the question;

Water rises above sea level = 21 ft

Water drops below sea level = 21 ft

so

maximum = 21 ft and also

minimum = 21 ft

Amplitude = ( maximum + minimum ) / 2

Amplitude = ( 21 + 21 ) / 2

Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft

Period = 12 hours

and we know that; period = 2π/b

so

12 = 2π/b

12b = 2π

b = 2π / 12

b = π/6

Standard equation for simple harmonic is; y = asin(bt)

we substitute

y = 21 sin(πt/6)

Hence the required equation is; y = 21 sin(πt/6)

You might be interested in
The homecoming committee wants to fly an aerial banner over the football game. The banner is 1,280 inches long and 780 inches ta
lord [1]

Answer: 998400 square inches or 6933 1/3 square feet or

770.37 square yards.

Step-by-step explanation:

Multiply 1280×780 for square inches. Divide that amount by 144 to get square feet. Then divide that by 9 to get square yards.

6 0
3 years ago
Read 2 more answers
The area of a triangular sign is 81ft2 if the base of the sign measures 18 what is the height of the sign
bagirrra123 [75]
The answer would be 9. Hope that helped!
4 0
2 years ago
Which two of the following have the same value as 4.032?
stich3 [128]

Answer:D

Step-by-step explanation:

It’s D for sure

4 0
3 years ago
Read 2 more answers
Subtract 275000-30000
Varvara68 [4.7K]
Hi, it is 245,000 all you have to do is 70000-3000
5 0
3 years ago
Read 2 more answers
Sammy bought 15.3 Liters of milk. She poured the milk equally into 5 bottles. There was 0.35 liters of milk left over. Calculate
Zanzabum

Answer:

The capacity of milk in 1 bottle is 2.99 liters

Step-by-step explanation:

Let us solve the question

∵ Sammy bought 15.3 liters of milk

∵ She poured the milk equally into 5 bottles

∵ There were 0.35 liters of milk leftover

→ At first, subtract the leftover from the quantity she bought to

   find the capacity of the five bottles

∴ The capacity of the 5 bottles = 15.3 - 0.35

∴ The capacity of the 5 bottles = 14.95 liters

→ To find the capacity of each bottle divide the total capacity by 5

∴ The capacity in one bottle = 14.95 ÷ 5

∴ The capacity in one bottle = 2.99 liters

∴ The capacity of milk in 1 bottle is 2.99 liters

8 0
3 years ago
Other questions:
  • Round 11,367 nearest thousand
    7·1 answer
  • Which point represent 110 on the number line below
    14·1 answer
  • 1.Is this figure a polygon<br> 2. If so what is the name of the polygon
    13·2 answers
  • NUMERATOR<br> DENOMINATOR<br><br> 4/40
    6·2 answers
  • Me ajudem por favor<br><br><br><br><br> PS: Explicar resposta
    5·1 answer
  • Which speed below is equivalent to 1/2 miles per hour
    10·1 answer
  • HELP OR I WILL EAT ALL YOUR COOKIES
    8·1 answer
  • How many screeches are equal to 20 meows? 20 meows = 12 laughs 3 laughs = 2 purrs 40 purrs = 120 screeches
    15·1 answer
  • Rock Particles are categorized into 6 types:
    5·1 answer
  • -5=0.1x-8.5 what is the answer
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!