The law of cosines can be helpful here. The largest angle (C) will be opposite the longest side (c). That law tells us ...
... c² = a² + b² -2ab·cos(C)
Then
... cos(C) = (a² +b² -c²)/(2ab)
We don't actually need the angle. We only need to know the sign of the cosine.
... cos(C) = (7² +15² -17²)/(2·7·15) = -15/210 . . . . negative sign, so C > 90°
The sail has the shape of an obtuse triangle.
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A triangle solver app on your calculator, phone, tablet, or computer can give you the result easily.
Answer:
The change in temperature per minute for the sample, dT/dt is 71.
°C/min
Step-by-step explanation:
The given parameters of the question are;
The specific heat capacity for glass, dQ/dT = 0.18 (kcal/°C)
The heat transfer rate for 1 kg of glass at 20.0 °C, dQ/dt = 12.9 kcal/min
Given that both dQ/dT and dQ/dt are known, we have;
Therefore, we get;
For the sample, we have the change in temperature per minute, dT/dt, presented as follows;
3b^2 - x = -9b^2
x = 3b^2 +9b^2
x = 12b^2
3b^2 -12b^2 = -9b^2
hope this will help you
If two lines have the same slope, then they are always parallel, unless they are the same line. Parallel lines means they never touch, but if you have the same line, they would be touching.
If two lines have the same slope and y-intercepts, then they are the same line, therefore not parallel because they touch each other.
