The temperature, t, in degrees celsius, in a warehouse changes according to the function t(h) = 18 + 4sin(pi/12 (x = 8)).
2 answers:
Answer:
about 1.01 °C per hour
Step-by-step explanation:
We assume the intended temperature function is ...
t(h) = 18 +4·sin(π/12(h -8))
We are asked for the rate of change when h=9.
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<h3>derivative</h3>The rate of change of temperature with respect to time is the derivative of t(h) with respect to h.
t'(h) = 4(π/12)cos(π/12(h -8)) = π/3·cos(π/12(h -8))
<h3>at 9 am</h3>For h = 9 hours after midnight, the rate of change is ...
t'(9) = π/3·cos(π/12(9 -8)) = π/3·cos(π/12) ≈ (3.14159)(0.965926)/3
t'(9) ≈ 1.01152
The rate of change of temperature at 9 a.m. is about 1.01 °C/hour.
The rate at which the temperature is changing at 9 a.m. is 19.03 degrees Celsius per hour
<h3>How to determine the rate at 9a.m?</h3>The function is given as:
9a.m is 9 hours since midnight.
This means that
x = 9
So, we have:
Evaluate
Evaluate the expression
t(h) = 19.03
Hence, the rate at which the temperature is changing at 9 a.m. is 19.03 degrees Celsius per hour
Read more about rates at:
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Answer:
x = 13.9
Step-by-step explanation:
With respect to the angle shown, we have the hypotenuse (the side opposite the 90 degree angle) and we have the adjacent side (which is the side labeled x). thus we can use the ratio "cosine" to solve this.
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The first answer choice is right, x = 13.9
An isosceles triangle is when 2 angles are the same measure. an triangles angle equal to 180 degrees. therefore angle A is 80 degrees as well as angle B equals 80 degrees. since the angles of a triangle equal to 180 you subtract the two known angles to find angle C. So 180-80-80 which equals to 20.
Therefore angle C=20 degrees
Therefore angle C=20 degrees