tag:blogger.com,1999:blog-6986082220402081615.post465135977424345994..comments2023-04-24T08:10:28.755-07:00Comments on Math for Liberal Arts: Practice for the quiz on Thursday 7/14: polygons and timeProf. Hubbardhttp://www.blogger.com/profile/16575880031145705761noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-6986082220402081615.post-23794600325615546932011-07-13T13:38:35.449-07:002011-07-13T13:38:35.449-07:00Sorry, forgot to answer e)
e) How many minutes in...Sorry, forgot to answer e)<br /><br />e) How many minutes in 5 days?<br /><br />5 days = 5 * 24 hours = 120 hours<br /><br />120 hours * 60 = <b>7,200 minutes.</b>Prof. Hubbardhttps://www.blogger.com/profile/16575880031145705761noreply@blogger.comtag:blogger.com,1999:blog-6986082220402081615.post-86397761394174623112011-07-13T13:34:38.877-07:002011-07-13T13:34:38.877-07:00The sum of the interior angles of a polygon with n...The sum of the interior angles of a polygon with n sides is (n – 2)180 °. Use this formula in the following problems.<br /><br />a) What is the sum of the interior angles of a 10-sided polygon (decagon)?<br /><br />(10-2)*180 = 8 * 180 = <b>1440°</b><br /><br />b)If the interior angles of a polygon add up to 1260°, how many sides does it have?<br /><br />(<i>n</i> - 2)180 = 1260<br />180<i>n</i> - 360 = 1260<br />180<i>n</i> = 1620<br /><i>n</i> = 1620/180 = <b>9 sides</b>.<br /><br /><br /><br />The angle measure of a regular <i>n</i>-sided polygon is (180 - 360/<i>n</i>)°.<br /><br /> <br /><br />c) What is the angle measure of a regular 10-sided polygon (decagon)? <br /><br />180 - 360/10 = 180 - 36 = <b>144° </b><br /><br /><br />d) If the angle measure of a regular polygon is 170°, how many sides does it have?<br /><br />180 - 360/<i>n</i> = 170<br />10 - 360/<i>n</i> = 0<br />10 = 360/<i>n</i><br />10<i>n</i> = 360<br /><b><i>n</i> = 36</b><br /><br /><br /><br /><br />time problems.<br /><br /><br />e) How many minutes in 5 days? <br /><br /><br />f) 510 hours is __________ days and ________ hours.<br /><br />510/24 = 21 1/4<br />1/4 of a day is 6 hours, so <b>510 hours is 21 days and 6 hours.</b><br /><br /><br />g) 6,502 seconds is ________ hours, ________ minutes and __________ seconds.<br /><br />6502 seconds is 108 minutes and 22 seconds<br />108 minutes is 1 hour and 48 minutes.<br /><br /><b> 6,502 seconds is 1 hour, 48 minutes and 22 seconds. </b><br /><br /> <br /><br />h) 6,502 hours is ________ weeks, ________days and __________ hours.<br /><br />6502 hours is 270 days and 22 hours.<br />270 days is 38 weeks and 4 days.<br /><br /><b>6,502 hours is 38 weeks, 4 days and 22 hours.</b><br /><br /><br />i) After a flu outbreak, a hospital has decided quarantine will last 66 hours. If it starts at 5:00 pm on Tuesday, give the day and time when it will be over.<br /><br />66/24 is 2 days and 18 hours.<br /><br />Two days after Tuesday is Thursday. 18 hours after 5:00 pm is 11:00 am the next day, so the quarantine ends <b>11:00 am on Friday.</b>Prof. Hubbardhttps://www.blogger.com/profile/16575880031145705761noreply@blogger.com