Y + 2 = -3(x - 4). What is the point given?
1 answer:
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Answer:
- Question 1: 0.081 min⁻¹
- Question 2: 168ºF
Explanation:
The missing equation is:
You are given:
- Ta = the temperature surrounding the object = 73ºF
- T₀ = the initial temperature of the object = 204ºF
- t = 2.5 min
- T after 2.5 min = 180ºF
Question 1: Find the the value of k.
Substitute the data into the equation and solve for k:
Question 2: Find the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.
Subsititute into the formula and compute:
From the law of sines, we have:
,
where x and y are the sides opposite to angles X and Y, respectively.
Substituting the known values, we have:
, thus
.
Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.
We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.
Thus, there is only one triangle that can be formed under these conditions.
where x and y are the sides opposite to angles X and Y, respectively.
Substituting the known values, we have:
Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.
We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.
Thus, there is only one triangle that can be formed under these conditions.