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OverLord2011 [107]
3 years ago
8

The function f(t) = 20 sin (pi over 5t) + 12 models the temperature of a periodic chemical reaction where t represents time in h

ours. What are the maximum and minimum temperatures of the reaction, and how long does the entire cycle take?
Maximum: 20°; minimum: 8°; period: 12 hours

Maximum: 32°; minimum: −8°; period: 10 hours

Maximum: 20°; minimum: 12°; period: pi over 5 hours

Maximum: 32°; minimum: 8°; period: pi over 5 hours

Mathematics
1 answer:
gregori [183]3 years ago
6 0
The answer for the exercise shown above is the second option, which is: <span>Maximum: 32°; minimum: −8°; period: 10 hours.
 The explanation is shown below:
</span> You can make a graph of the function given in the problem above: f(t)=20Sin(π/5t)+12.
 As you can see in the graph, the maximum point is at 32 over the y-axis, and the minimum is at -8.
 The lenght of the repeating pattern of the function (Its period) is 10.

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Answer:

Klorina's rate in still water is 4.5 km/h

Current's rate is 0.5 km/h

Step-by-step explanation:

Let

x km/h = Klorina's rate in still water

y km/h = current's rate

<u>With the current (current helps):</u>

Distance = 10 km

Time = 2 hours

Rate = x + y km/h

10=2(x+y)

<u>Against the current:</u>

Distance = 8 km

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Rate = x - y km/h

8=2(x-y)

Divide both equations by 2:

x+y=5\\ \\x-y=4

Add these equations:

x+y+x-y=5+4\\ \\2x=9\\ \\x=4.5\ km/h

Subtract these two equations:

(x+y)-(x-y)=5-4\\ \\x+y-x+y=1\\ \\2y=1\\ \\y=0.5\ km/h

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2 years ago
Convert the following angle to decimal degree. a=137DEGREES 38' 44"
Norma-Jean [14]
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4 0
3 years ago
15
Evgesh-ka [11]

Answer:

Height = 14.4

Step-by-step explanation:

The diagonals meet at right angles. Interesting property.

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You can find the other side of the the triangle by using the Pythagorean Theorem

a^2 + b^2 = c^2

c = 15

a = 12

b = ?

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225 - 144

b^2 = 81

b = 9

The area of this right angle = 9 * 12/2 = 54

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That's the area of the rhombus.

The h= Area / b

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Hope this helps!

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