Question

Below is a hexagonal hot tub with sides measuring 3 feet and a water level of three feet. The water is currently 93 degrees F. Using the information in the table, how long will it take to heat the water to 103 degrees F?

14. Below is a hexagonal hot tub with sides measuring 3 feet and a water level of three feet. The water is currently 93 degrees F. Using the information in the table, how long will it take to heat the water to 103 degrees F? Minutes to Raise Temperature 10° F 3' Gallons 350 400 450 500 550 600 650 700 Minutes 9 10 11 12 14 15 16 18 3'

Answer 1

is 6x √3 92 4 4 5 base 3 Area of a regular hexagon of sicke length a where are = area of an equilateral triangle of side length a. Hence, area of the hexagonal (regular) of the ghen A = 6x4 / x 32 ft.? 27/3 sq.ft Since heigth of water level is 3 ft. ie. h=3ft. so, the volume V of the water perured in that henagonal hot tube is 2 a A hot tube is given given by A# Vs An 27-13 x 3 66.93 815 ft. 2 = _605.9220779 to us-gallons [ 1 cubie fl 7.481 US or V 504,5356722 gallons gallons [1 cubit t6229 gallons Now 1 cubic feet 7.4805194805195 gallons Siri cubic feet So, V = - 813 x 7.4805194805195 2 gallons 524•74 gallons. (approshwately) you want temperature from the tabe, then 14 minutes are needed as 500 < 524.74 < 550 @) But if you want temperature from regressim, care (here it will be a st. line), the required time will be atmost 13 mmutes (approximately)

want, ر here a If you want exact, I mean correct upto some finite decimal answers, the we have to find out the regression curre, sto line from the provided data usim least square method. It will be lengthy. So I don't do right now. If you want, you can ask me I shall give answer Thank you

= H -18 -16 F E -14 -12 -10 А. 00 300 400 500 -600 700 800 IM A = (350,9) B = (400, 10) C = (450, 11) D = (500, 12) o E = (550, 14) F = 600, 15) + O G = (650, 16)