Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 14.5, Problem 21CYU

a.

To determine

To find: on what days will Hartford have exactly 1012 hours of daylight.

a.

Expert Solution
Check Mark

Answer to Problem 21CYU

October 20th, February 19th.

Explanation of Solution

Given information: The number of hours of daylight d in Hartford, Connecticut, may be

approximated by the equation d=3sin2π365t+12, where t is the number of days after March 21.

Calculation:

  d=3sin2π365t+12.Givend=1012=212.212=3sin2π365t+123sin2π365t=21212.3sin2π365t=32sin2π365t=12.2π365t=7π612t=365×7t=365×712213.2π365t=11π612t=365×11t=365×1112335.

March 21st+213 days= October 20th

March 21st+335 days= February 19th

The dates when there will be 1012

hours of daylight will be: October 20th, February 19th.

b.

To determine

To find: what days of the year have at least 1012 hours of daylight using the result in part (a).

b.

Expert Solution
Check Mark

Answer to Problem 21CYU

  t213,t335.

The longest day of the year occurs around June 22nd, so the days between February 19th and October 20th must increase in length until June 22nd and then decrease in length until October 20th.

Explanation of Solution

Given information: The number of hours of daylight d in Hartford, Connecticut, may be

approximated by the equation d=3sin2π365t+12, where t is the number of days after March 21.

Calculation:

Have to solve the inequality:

  d3sin2π365t+12.

From the part (a)

March 21st+213 days= October 20th

March 21st+335 days= February 19th

The dates when there will be 1012

hours of daylight will be: October 20th, February 19th

This means must have:

  t213,t335.

The longest day of the year occurs around June 22nd, so the days between February 19th and October 20th must increase in length until June 22nd and then decrease in length until October 20th.

Chapter 14 Solutions

Algebra 2

Ch. 14.1 - Prob. 6CYUCh. 14.1 - Prob. 7CYUCh. 14.1 - Prob. 8CYUCh. 14.1 - Prob. 9PPSCh. 14.1 - Prob. 10PPSCh. 14.1 - Prob. 11PPSCh. 14.1 - Prob. 12PPSCh. 14.1 - Prob. 13PPSCh. 14.1 - Prob. 14PPSCh. 14.1 - Prob. 15PPSCh. 14.1 - Prob. 16PPSCh. 14.1 - Prob. 17PPSCh. 14.1 - Prob. 18PPSCh. 14.1 - Prob. 19PPSCh. 14.1 - Prob. 20PPSCh. 14.1 - Prob. 21PPSCh. 14.1 - Prob. 22PPSCh. 14.1 - Prob. 23PPSCh. 14.1 - Prob. 24PPSCh. 14.1 - Prob. 25PPSCh. 14.1 - Prob. 26PPSCh. 14.1 - Prob. 27PPSCh. 14.1 - Prob. 28PPSCh. 14.1 - Prob. 29PPSCh. 14.1 - Prob. 30PPSCh. 14.1 - Prob. 31PPSCh. 14.1 - Prob. 32PPSCh. 14.1 - Prob. 33PPSCh. 14.1 - Prob. 34PPSCh. 14.1 - Prob. 35PPSCh. 14.1 - Prob. 36PPSCh. 14.1 - Prob. 37PPSCh. 14.1 - Prob. 38PPSCh. 14.1 - Prob. 39PPSCh. 14.1 - Prob. 40PPSCh. 14.1 - Prob. 41PPSCh. 14.1 - Prob. 42HPCh. 14.1 - Prob. 43HPCh. 14.1 - Prob. 44HPCh. 14.1 - Prob. 45HPCh. 14.1 - Prob. 46HPCh. 14.1 - Prob. 47HPCh. 14.1 - Prob. 48HPCh. 14.1 - Prob. 49HPCh. 14.1 - Prob. 50HPCh. 14.1 - Prob. 51STPCh. 14.1 - Prob. 52STPCh. 14.1 - Prob. 53STPCh. 14.1 - Prob. 54STPCh. 14.1 - Prob. 55SRCh. 14.1 - Prob. 56SRCh. 14.1 - Prob. 57SRCh. 14.1 - Prob. 58SRCh. 14.1 - Prob. 59SRCh. 14.1 - Prob. 60SRCh. 14.1 - Prob. 61SRCh. 14.1 - Prob. 62SRCh. 14.1 - Prob. 63SRCh. 14.1 - Prob. 64SRCh. 14.1 - Prob. 65SCh. 14.1 - Prob. 66SCh. 14.1 - Prob. 67SCh. 14.2 - Prob. 1CYPCh. 14.2 - Prob. 2CYPCh. 14.2 - Prob. 3CYPCh. 14.2 - Prob. 1CYUCh. 14.2 - Prob. 2CYUCh. 14.2 - Prob. 3CYUCh. 14.2 - Prob. 4CYUCh. 14.2 - Prob. 5CYUCh. 14.2 - Prob. 6CYUCh. 14.2 - Prob. 7CYUCh. 14.2 - Prob. 8PPSCh. 14.2 - Prob. 9PPSCh. 14.2 - Prob. 10PPSCh. 14.2 - Prob. 11PPSCh. 14.2 - Prob. 12PPSCh. 14.2 - Prob. 13PPSCh. 14.2 - Prob. 14PPSCh. 14.2 - Prob. 15PPSCh. 14.2 - Prob. 16PPSCh. 14.2 - Prob. 17PPSCh. 14.2 - Prob. 18PPSCh. 14.2 - Prob. 19PPSCh. 14.2 - Prob. 20PPSCh. 14.2 - Prob. 21PPSCh. 14.2 - Prob. 22PPSCh. 14.2 - Prob. 23PPSCh. 14.2 - Prob. 24PPSCh. 14.2 - Prob. 25PPSCh. 14.2 - Prob. 26PPSCh. 14.2 - Prob. 27PPSCh. 14.2 - Prob. 28PPSCh. 14.2 - Prob. 29PPSCh. 14.2 - Prob. 30PPSCh. 14.2 - Prob. 31PPSCh. 14.2 - Prob. 32PPSCh. 14.2 - Prob. 33PPSCh. 14.2 - Prob. 34PPSCh. 14.2 - Prob. 35PPSCh. 14.2 - Prob. 36PPSCh. 14.2 - Prob. 37PPSCh. 14.2 - Prob. 38PPSCh. 14.2 - Prob. 39PPSCh. 14.2 - Prob. 40PPSCh. 14.2 - Prob. 41PPSCh. 14.2 - Prob. 42PPSCh. 14.2 - Prob. 43PPSCh. 14.2 - Prob. 44PPSCh. 14.2 - Prob. 45PPSCh. 14.2 - Prob. 46PPSCh. 14.2 - Prob. 47PPSCh. 14.2 - Prob. 48PPSCh. 14.2 - Prob. 49PPSCh. 14.2 - Prob. 52HPCh. 14.2 - Prob. 53HPCh. 14.2 - Prob. 54HPCh. 14.2 - Prob. 55HPCh. 14.2 - Prob. 56HPCh. 14.2 - Prob. 57HPCh. 14.2 - Prob. 58HPCh. 14.2 - Prob. 59HPCh. 14.2 - Prob. 60STPCh. 14.2 - Prob. 61STPCh. 14.2 - Prob. 62STPCh. 14.2 - Prob. 63STPCh. 14.2 - Prob. 64SRCh. 14.2 - Prob. 65SRCh. 14.2 - Prob. 66SRCh. 14.2 - Prob. 67SRCh. 14.2 - Prob. 68SRCh. 14.2 - Prob. 69SRCh. 14.2 - Prob. 70SRCh. 14.2 - Prob. 71SRCh. 14.2 - Prob. 72SRCh. 14.2 - Prob. 73SCh. 14.2 - Prob. 74SCh. 14.2 - Prob. 75SCh. 14.2 - Prob. 76SCh. 14.3 - Prob. 1ACYPCh. 14.3 - Prob. 1BCYPCh. 14.3 - Prob. 2CYPCh. 14.3 - Prob. 3ACYPCh. 14.3 - Prob. 3BCYPCh. 14.3 - Prob. 1CYUCh. 14.3 - Prob. 2CYUCh. 14.3 - Prob. 3CYUCh. 14.3 - Prob. 4CYUCh. 14.3 - Prob. 5CYUCh. 14.3 - Prob. 6CYUCh. 14.3 - Prob. 7CYUCh. 14.3 - Prob. 8CYUCh. 14.3 - Prob. 9CYUCh. 14.3 - Prob. 10CYUCh. 14.3 - Prob. 11CYUCh. 14.3 - Prob. 12PPSCh. 14.3 - Prob. 13PPSCh. 14.3 - Prob. 14PPSCh. 14.3 - Prob. 15PPSCh. 14.3 - Prob. 16PPSCh. 14.3 - Prob. 17PPSCh. 14.3 - Prob. 18PPSCh. 14.3 - Prob. 19PPSCh. 14.3 - Prob. 20PPSCh. 14.3 - Prob. 21PPSCh. 14.3 - Prob. 22PPSCh. 14.3 - Prob. 23PPSCh. 14.3 - Prob. 24PPSCh. 14.3 - Prob. 25PPSCh. 14.3 - Prob. 26PPSCh. 14.3 - Prob. 27PPSCh. 14.3 - Prob. 28PPSCh. 14.3 - Prob. 29PPSCh. 14.3 - Prob. 30PPSCh. 14.3 - Prob. 31PPSCh. 14.3 - Prob. 32PPSCh. 14.3 - Prob. 33PPSCh. 14.3 - Prob. 34PPSCh. 14.3 - Prob. 35PPSCh. 14.3 - Prob. 36PPSCh. 14.3 - Prob. 37PPSCh. 14.3 - Prob. 38HPCh. 14.3 - Prob. 39HPCh. 14.3 - Prob. 40HPCh. 14.3 - Prob. 41HPCh. 14.3 - Prob. 42HPCh. 14.3 - Prob. 43STPCh. 14.3 - Prob. 44STPCh. 14.3 - Prob. 45STPCh. 14.3 - Prob. 46STPCh. 14.3 - Prob. 47SRCh. 14.3 - Prob. 48SRCh. 14.3 - Prob. 49SRCh. 14.3 - Prob. 50SRCh. 14.3 - Prob. 51SRCh. 14.3 - Prob. 52SRCh. 14.3 - Prob. 53SRCh. 14.3 - Prob. 54SRCh. 14.3 - Prob. 55SCh. 14.3 - Prob. 56SCh. 14.3 - Prob. 57SCh. 14.4 - Prob. 1CYPCh. 14.4 - Prob. 2ACYPCh. 14.4 - Prob. 2BCYPCh. 14.4 - Prob. 3CYPCh. 14.4 - Prob. 4ACYPCh. 14.4 - Prob. 4BCYPCh. 14.4 - Prob. 5CYPCh. 14.4 - Prob. 1CYUCh. 14.4 - Prob. 2CYUCh. 14.4 - Prob. 3CYUCh. 14.4 - Prob. 4CYUCh. 14.4 - Prob. 5CYUCh. 14.4 - Prob. 6CYUCh. 14.4 - Prob. 7CYUCh. 14.4 - Prob. 8CYUCh. 14.4 - Prob. 9CYUCh. 14.4 - Prob. 10CYUCh. 14.4 - Prob. 11CYUCh. 14.4 - Prob. 12PPSCh. 14.4 - Prob. 13PPSCh. 14.4 - Prob. 14PPSCh. 14.4 - Prob. 15PPSCh. 14.4 - Prob. 16PPSCh. 14.4 - Prob. 17PPSCh. 14.4 - Prob. 18PPSCh. 14.4 - Prob. 19PPSCh. 14.4 - Prob. 20PPSCh. 14.4 - Prob. 21PPSCh. 14.4 - Prob. 22PPSCh. 14.4 - Prob. 23PPSCh. 14.4 - Prob. 24PPSCh. 14.4 - Prob. 25PPSCh. 14.4 - Prob. 26PPSCh. 14.4 - Prob. 27PPSCh. 14.4 - Prob. 28PPSCh. 14.4 - Prob. 29PPSCh. 14.4 - Prob. 30PPSCh. 14.4 - Prob. 31PPSCh. 14.4 - Prob. 32PPSCh. 14.4 - Prob. 33PPSCh. 14.4 - Prob. 34PPSCh. 14.4 - Prob. 35PPSCh. 14.4 - Prob. 36PPSCh. 14.4 - Prob. 37HPCh. 14.4 - Prob. 38HPCh. 14.4 - Prob. 39HPCh. 14.4 - Prob. 40HPCh. 14.4 - Prob. 41HPCh. 14.4 - Prob. 42HPCh. 14.4 - Prob. 43STPCh. 14.4 - Prob. 44STPCh. 14.4 - Prob. 45STPCh. 14.4 - Prob. 46STPCh. 14.4 - Prob. 47SRCh. 14.4 - Prob. 48SRCh. 14.4 - Prob. 49SRCh. 14.4 - Prob. 50SRCh. 14.4 - Prob. 51SRCh. 14.4 - Prob. 52SRCh. 14.4 - Prob. 53SRCh. 14.4 - Prob. 54SRCh. 14.4 - Prob. 55SRCh. 14.4 - Prob. 56SRCh. 14.4 - Prob. 57SRCh. 14.4 - Prob. 58SCh. 14.4 - Prob. 59SCh. 14.4 - Prob. 60SCh. 14.5 - Prob. 1ECh. 14.5 - Prob. 2ECh. 14.5 - Prob. 3ECh. 14.5 - Prob. 4ECh. 14.5 - Prob. 5ECh. 14.5 - Prob. 6ECh. 14.5 - Prob. 1CYPCh. 14.5 - Prob. 2ACYPCh. 14.5 - Prob. 2BCYPCh. 14.5 - Prob. 3CYPCh. 14.5 - Prob. 4ACYPCh. 14.5 - Prob. 4BCYPCh. 14.5 - Prob. 5ACYPCh. 14.5 - Prob. 5BCYPCh. 14.5 - Prob. 1CYUCh. 14.5 - Prob. 2CYUCh. 14.5 - Prob. 3CYUCh. 14.5 - Prob. 4CYUCh. 14.5 - Prob. 5CYUCh. 14.5 - Prob. 6CYUCh. 14.5 - Prob. 7CYUCh. 14.5 - Prob. 8CYUCh. 14.5 - Prob. 9CYUCh. 14.5 - Prob. 10CYUCh. 14.5 - Prob. 11CYUCh. 14.5 - Prob. 12CYUCh. 14.5 - Prob. 13CYUCh. 14.5 - Prob. 14CYUCh. 14.5 - Prob. 15CYUCh. 14.5 - Prob. 16CYUCh. 14.5 - Prob. 17CYUCh. 14.5 - Prob. 18CYUCh. 14.5 - Prob. 19CYUCh. 14.5 - Prob. 20CYUCh. 14.5 - Prob. 21CYUCh. 14.5 - Prob. 22CYUCh. 14.5 - Prob. 23CYUCh. 14.5 - Prob. 24CYUCh. 14.5 - Prob. 25CYUCh. 14.5 - Prob. 26CYUCh. 14.5 - Prob. 27CYUCh. 14.5 - Prob. 28CYUCh. 14.5 - Prob. 29CYUCh. 14.5 - Prob. 30PPSCh. 14.5 - Prob. 31PPSCh. 14.5 - Prob. 32PPSCh. 14.5 - Prob. 33PPSCh. 14.5 - Prob. 34PPSCh. 14.5 - Prob. 35PPSCh. 14.5 - Prob. 36PPSCh. 14.5 - Prob. 37PPSCh. 14.5 - Prob. 38PPSCh. 14.5 - Prob. 39PPSCh. 14.5 - Prob. 40PPSCh. 14.5 - Prob. 41PPSCh. 14.5 - Prob. 42PPSCh. 14.5 - Prob. 43PPSCh. 14.5 - Prob. 44PPSCh. 14.5 - Prob. 45PPSCh. 14.5 - Prob. 46PPSCh. 14.5 - Prob. 47PPSCh. 14.5 - Prob. 48PPSCh. 14.5 - Prob. 49PPSCh. 14.5 - Prob. 50PPSCh. 14.5 - Prob. 51PPSCh. 14.5 - Prob. 52PPSCh. 14.5 - Prob. 53PPSCh. 14.5 - Prob. 54PPSCh. 14.5 - Prob. 55PPSCh. 14.5 - Prob. 56PPSCh. 14.5 - Prob. 57PPSCh. 14.5 - Prob. 58HPCh. 14.5 - Prob. 59HPCh. 14.5 - Prob. 60HPCh. 14.5 - Prob. 61HPCh. 14.5 - Prob. 62HPCh. 14.5 - Prob. 63HPCh. 14.5 - Prob. 64STPCh. 14.5 - Prob. 65STPCh. 14.5 - Prob. 66STPCh. 14.5 - Prob. 67STPCh. 14.5 - Prob. 68SRCh. 14.5 - Prob. 69SRCh. 14.5 - Prob. 70SRCh. 14.5 - Prob. 71SRCh. 14.5 - Prob. 72SRCh. 14.5 - Prob. 73SRCh. 14.5 - Prob. 74SRCh. 14.5 - Prob. 75SRCh. 14.5 - Prob. 76SRCh. 14.5 - Prob. 77SRCh. 14.5 - Prob. 78SRCh. 14.5 - Prob. 79SRCh. 14.5 - Prob. 80SRCh. 14.5 - Prob. 81SRCh. 14.5 - Prob. 82SRCh. 14.5 - Prob. 83SRCh. 14 - Prob. 1QCCh. 14 - Prob. 2QCCh. 14 - Prob. 3QCCh. 14 - Prob. 4QCCh. 14 - Prob. 5QCCh. 14 - Prob. 6QCCh. 14 - Prob. 7QCCh. 14 - Prob. 8QCCh. 14 - Prob. 9QCCh. 14 - Prob. 10QCCh. 14 - Prob. 11QCCh. 14 - Prob. 12QCCh. 14 - Prob. 13QCCh. 14 - Prob. 14QCCh. 14 - Prob. 15QCCh. 14 - Prob. 1MCQCh. 14 - Prob. 2MCQCh. 14 - Prob. 3MCQCh. 14 - Prob. 4MCQCh. 14 - Prob. 5MCQCh. 14 - Prob. 6MCQCh. 14 - Prob. 7MCQCh. 14 - Prob. 8MCQCh. 14 - Prob. 9MCQCh. 14 - Prob. 10MCQCh. 14 - Prob. 11MCQCh. 14 - Prob. 12MCQCh. 14 - Prob. 13MCQCh. 14 - Prob. 14MCQCh. 14 - Prob. 15MCQCh. 14 - Prob. 16MCQCh. 14 - Prob. 17MCQCh. 14 - Prob. 18MCQCh. 14 - Prob. 19MCQCh. 14 - Prob. 20MCQCh. 14 - Prob. 21MCQCh. 14 - Prob. 22MCQCh. 14 - Prob. 23MCQCh. 14 - Prob. 24MCQCh. 14 - Prob. 25MCQCh. 14 - Prob. 1SGRCh. 14 - Prob. 2SGRCh. 14 - Prob. 3SGRCh. 14 - Prob. 4SGRCh. 14 - Prob. 5SGRCh. 14 - Prob. 6SGRCh. 14 - Prob. 7SGRCh. 14 - Prob. 8SGRCh. 14 - Prob. 9SGRCh. 14 - Prob. 10SGRCh. 14 - Prob. 11SGRCh. 14 - Prob. 12SGRCh. 14 - Prob. 13SGRCh. 14 - Prob. 14SGRCh. 14 - Prob. 15SGRCh. 14 - Prob. 16SGRCh. 14 - Prob. 17SGRCh. 14 - Prob. 18SGRCh. 14 - Prob. 19SGRCh. 14 - Prob. 20SGRCh. 14 - Prob. 21SGRCh. 14 - Prob. 22SGRCh. 14 - Prob. 23SGRCh. 14 - Prob. 24SGRCh. 14 - Prob. 25SGRCh. 14 - Prob. 26SGRCh. 14 - Prob. 27SGRCh. 14 - Prob. 28SGRCh. 14 - Prob. 29SGRCh. 14 - Prob. 30SGRCh. 14 - Prob. 31SGRCh. 14 - Prob. 32SGRCh. 14 - Prob. 33SGRCh. 14 - Prob. 34SGRCh. 14 - Prob. 35SGRCh. 14 - Prob. 36SGRCh. 14 - Prob. 37SGRCh. 14 - Prob. 38SGRCh. 14 - Prob. 39SGRCh. 14 - Prob. 40SGRCh. 14 - Prob. 41SGRCh. 14 - Prob. 1PTCh. 14 - Prob. 2PTCh. 14 - Prob. 3PTCh. 14 - Prob. 4PTCh. 14 - Prob. 5PTCh. 14 - Prob. 6PTCh. 14 - Prob. 7PTCh. 14 - Prob. 8PTCh. 14 - Prob. 9PTCh. 14 - Prob. 10PTCh. 14 - Prob. 11PTCh. 14 - Prob. 12PTCh. 14 - Prob. 13PTCh. 14 - Prob. 14PTCh. 14 - Prob. 15PTCh. 14 - Prob. 16PTCh. 14 - Prob. 17PTCh. 14 - Prob. 18PTCh. 14 - Prob. 19PTCh. 14 - Prob. 20PTCh. 14 - Prob. 21PTCh. 14 - Prob. 22PTCh. 14 - Prob. 23PTCh. 14 - Prob. 24PTCh. 14 - Prob. 25PTCh. 14 - Prob. 1STPCh. 14 - Prob. 2STPCh. 14 - Prob. 3STPCh. 14 - Prob. 4STPCh. 14 - Prob. 5STPCh. 14 - Prob. 6STPCh. 14 - Prob. 7STPCh. 14 - Prob. 8STPCh. 14 - Prob. 9STPCh. 14 - Prob. 10STPCh. 14 - Prob. 11STPCh. 14 - Prob. 12STPCh. 14 - Prob. 13STPCh. 14 - Prob. 14STPCh. 14 - Prob. 15STPCh. 14 - Prob. 16STPCh. 14 - Prob. 17STP
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