Help me pretty pleaseeee
2 answers:
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Answer:
Step-by-step explanation:
Since we are given the central angle in radians, we should use the following formula for the arc length.
Where <em>s</em> is the arc length, θ is the angle in radians, and <em>r</em> is the radius.
We know this circle has a radius of 9 inches and the central angle is 3.25 radians.
- θ= 3.25
- r= 9 in
Substitute the values into the formula
Multiply.
The arc length is <u>29.25 inches. </u>
Answer:
30.06 degree Celsius at 4:00 PM.
Step-by-step explanation:
We have been given that on a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24 degrees C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 35 degrees C for the rest of the afternoon. The time constant for the building is 5 hr. We are asked to find the temperature inside the building at 4:00 PM.
We will use Newton's law of cooling to solve our given problem.
, where
= Temperature after t hours.
= Temperature of surrounding environment,
= Time constant.
Upon substituting our given values in Newton's cooling law, we will get:
To find the temperature at 4:00 pm, we will substitute in our formula as:
Therefore, the temperature inside building would be approximately 30.06 degree Celsius at 4:00 PM.