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Colt1911 [192]
3 years ago
13

Prove that 3:8 is equivalent to 12:32

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0
3:8 can also be written as 3/8

12:32 can also be written as 12/32

\frac{12}{32} = \frac{3\times 4}{8\times 4} = \frac{3}{8}

So thus 3:8 is equivalnt to 12:32
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The table shows the highest daily temperature in degrees Fahrenheit averaged over the month for Cosine City, where m is the numb
Bezzdna [24]

Answer:

Part A) The amplitude = 24

Part B) The period = 24

Part C) Vertical shift = 36

Step-by-step explanation:

The general equation of the sine function:

y = A sin (Bx) + C

Where A is the amplitude and B = 360°/Period  and C is the vertical shift

See the attached figure which represents the graph of m and f(m)

So,

<u>Part A:</u>

The function has minimum at 12 and maximum at 60

The difference is = 60 - 12 = 48

So, The amplitude = 48/2 = 24

<u>Part B:</u>

Period: The period of a periodic function is the interval on which the cycle of the graph that's repeated in both directions lies.

We can deduce that the function completes one cycle within 24 months

So, the period = 24

<u>Part C:</u>

Vertical shift is obtained at m = 0

So, f(m) = 36

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C = 36 ⇒ Vertical shift

So, The amplitude = 24

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8 0
3 years ago
Jan has 10 reports to file. If each report takes an average of 75 minutes. to file, how long will it take to file 70% of them?
lora16 [44]

10 × 75 = 750 minutes to file 100% of the files. (Approximately 12.5 hours)

\frac{70}{100} = 0.7

70% of these files = 750 × 0.7 = 525 minutes.

Converting 525 minutes into hours, Jan would to take 8.75 hours to file 70% of the files.


6 0
3 years ago
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