The number of daylight hours in a northem city varies from approximately 4.4 hours on December 21 to 19.9 hours on June 11. The sine function below can be used to approximate the number of daylight hours, y, in the city for day x. y= 7.8506 sin (0.0165x - 1.3066) + 12.1811 a) Approximate the number of daylight hours in the city for April 5 (x = 95), for August 18 (x= 230), and for November 29 (x = 333). b) Determine on which days of the year there will be about 12 hours of daylight. a) The number of daylight hours on April 5 is 14.2 hours. The number of daylight hours on August 18 is 17 hours. The number of daylight hours on November 29 is 5.4 hours. (Round to the nearest tenth as needed.) b) There will be about 12 hours of daylight when x=. (Round to the nearest whole number as needed. Use a comma to separate answers as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
icon
Related questions
Topic Video
Question
The number of daylight hours in a northem city varies from approximately 4.4 hours on December 21 to 19.9 hours on June 11. The sine function below can be used to approximate the number of daylight hours, y, in the city for day %
y=7.8506 sin (0.0165x-1.3066) + 12.1811
a) Approximate the number of daylight hours in the city for April 5 (x= 95), for August 18 (x= 230), and for November 29 (x 333).
b) Determine on which days of the year there will be about 12 hours of daylight.
a) The number of daylight hours on April 5 is 14.2 hours. The number of daylight hours on August 18 is 17 hours. The number of daylight hours on November 29 is 5.4 hours.
(Round to the nearest tenth as needed.)
b) There will be about 12 hours of daylight when x =
(Round to the nearest whole number as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:The number of daylight hours in a northem city varies from approximately 4.4 hours on December 21 to 19.9 hours on June 11. The sine function below can be used to approximate the number of daylight hours, y, in the city for day % y=7.8506 sin (0.0165x-1.3066) + 12.1811 a) Approximate the number of daylight hours in the city for April 5 (x= 95), for August 18 (x= 230), and for November 29 (x 333). b) Determine on which days of the year there will be about 12 hours of daylight. a) The number of daylight hours on April 5 is 14.2 hours. The number of daylight hours on August 18 is 17 hours. The number of daylight hours on November 29 is 5.4 hours. (Round to the nearest tenth as needed.) b) There will be about 12 hours of daylight when x = (Round to the nearest whole number as needed. Use a comma to separate answers as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Fundamentals of Trigonometric Identities
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL