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crimeas [40]
3 years ago
12

What are the answer to this question

Mathematics
2 answers:
IrinaK [193]3 years ago
7 0

Answer: t=-3h+25

Step-by-step explanation:

t=-3h+25

25 degrees is a constant-- it never changes, no matter how many hours goes by. So, you don't multiply a variable with it.

The temperature drops every 3 hours-- this is not constant, since it's dependent on the number of hours that passes. So, use a variable here. Since the temperature drops every three hours, it's -3, and not 3.

padilas [110]3 years ago
3 0

Answer:

t=-3h+25

Step-by-step explanation:

If we know that when h=0, t=25, then we can use a direct proportion equation (x=ky). The temperature decreases every hour by 3 degrees. However, we know that before any temperature drop, the temperature was 25 degrees. All together, this gives us t=-3h+25, where -3h is the temperature drop each hour, and 25 is the starting temperature. Hope that explained things :)

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Solve sin 0 + 1 = cos20 on the interval 0 ≤ 0 < 2pi. Show work please!
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Answer:

\theta=\frac{\pi}{2},\frac{3\pi}{2}\frac{2\pi}{3}\frac{4\pi}{3}

Step-by-step explanation:

You need 2 things in order to solve this equation:  a trig identity sheet and a unit circle.

You will find when you look on your trig identity sheet that

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Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:

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We can factor out the sin(theta), since it's common in both terms:

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Because of the Zero Product Property, either

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Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi.  They are:

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The next equation needs to first be solved for sin(theta):

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2sin(\theta)=-1 and

sin(\theta)=-\frac{1}{2}

Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval.  They are:

\theta=\frac{2\pi}{3},\frac{4\pi}{3}

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