Can anyone help me with the question I attached below?
1 answer:
Answer:
The range in the average rate of change in temperature of the substance is from a low temperature of -22 ºF to a high of 16 ºF.
Step-by-step explanation:
Sine function is a bounded function whose range is between -1 and 1. The lowest average rate of change in temperature occurs when sine function is equal to 1 and the highest when this function is equal to -1. Then, the minimum and maximum average rate of changes in temperature are:
Minimum
Maximum
The range in the average rate of change in temperature of the substance is from a low temperature of -22 ºF to a high of 16 ºF.
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Step-by-step answer:
Please refer to attached image.
1. Quad PQRS is cyclic (all vertices on the same circle), so opposite angles are supplementary, meaning
that
angles QPS and QRS are supplementary =>
QPS+QRS=180 =>
QRS = 180 - 74 = 106
2. Triangle RSQ is isosceles with RS=RQ =>
angles RSQ and RQS are congruent.
3. Angle RSQ = (180 - 106) /2 = 74 / 2 = 37
4. QP is a diameter => angle QSP is a right-angle.
5. From (3) and (4) above,
angle RSP = 37+90 = 127
6. Since PQRS is cyclic, angles RQP and RSP are supplementary =>
RQP+RSP = 180 =>
x + 127 = 180 =>
x = 180 - 127 = 53 degrees.
