The graph should look like the below image
It’s a straight line that passes through the origin.
Answer:
AOC = 124°
Step-by-step explanation:
Angle on a straight line is 180°, therefore, the sum of the three angles shown is 180;
This can be written like so:
(3x + 94) + (x + 30) + (2x - 4) = 180
This equation can be solved to find x:
6x + 120 = 180
6x = 180 - 120
6x = 60
x = 10
AOC = 3(10) + 94
= 30 + 94
= 124
Answer:
The length of the candle (in inches) 3.6 hours after it was lit is 0.95 inches
Step-by-step explanation:
Given
---- candle length
--- rate (it is negative because the candle length reduces)
Solving (a): The function, f(t)
This is calculated as:
So, we have:
Solving (b): The domain
The domain, in this case, represents time from 0 till the candle burns out.
Set to calculate the time the candle burns out
Collect like terms.
Solve for t
Hence, the domain is:
Solving (c): The range
The domain, in this case, represents the candle height from 15 till the candle burns out (0 inches)
Hence, the range is:
Solving (d):
Recall that:
Sp, we have
Collect like terms
Divide by 12