Application problem with a linear function: Finding a coordinate... Suppose that the height (in centimeters) of a candle is a linear function of the amount of time in hours) it has been burning. After 10 hours of burning, a candle
has a height of 24 centimeters. After 21 hours of burning, its height is 18.5 centimeters. What is the height of the candle after 17 hours?

Answer is in the file below

cutt.ly/nz6VGda

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47