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Mandarinka [93]
3 years ago
10

An airplane is traveling at a speed of 60 meters per second. Identify the correct conversion factor setup required to compute th

e speed of the airplane in kilometers per hour.
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

To convert m/sec to km/h the factor is 3.6

The speed of the airplane is 216\frac{km}{h}

Step-by-step explanation:

we know that

1\ km=1,000\ m\\1\ h=3,600\ sec

so

60\frac{m}{sec}=60\frac{(1/1,000)}{(1/3,600)}=60\frac{3,600}{1,000}=216\frac{km}{h}

To convert m/sec to km/h the factor is 3.6

That means ----> Multiply the speed in m/sec by 3.6 to obtain the speed in km/h

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seropon [69]

Answer:

Part a) The ratio of the perimeters is 3

Part b) The ratio of the areas is 9

Step-by-step explanation:

Part A) What is the value of the ratio (new to original) of the perimeters?

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the new triangle

y-----> the perimeter of the original triangle

z=\frac{x}{y}

we have

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substitute

\frac{x}{y}=3

Part B) What is the value of the ratio (new to original) of the areas?

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the new triangle

y-----> the area of the original triangle

z^{2}=\frac{x}{y}

we have

z=3

substitute

\frac{x}{y}=3^{2}

\frac{x}{y}=9}

3 0
3 years ago
A toxic radioactive substance with the density of 4 mg/cm² is detected in the been detected in the ventilating ducts that was us
Kruka [31]
The formula for half-life is:

A = P(0.5)^{t/h}

A is the amount remaining, P is the initial amount, t is the time that has passed, and h is the half-life of the substance.  Plug in the values that you know and solve:

4 = P(0.5)^{35/20} \\ \\ 4 = P(0.5)^{1.75} \\ \\ P = \frac{4}{0.5^{1.75}} \\ \\ P \approx 13.4543426441

Rounded to the nearest whole number, the density of the substance was about 13<span>mg / cm².</span>
8 0
3 years ago
True or false: randomization allows each member of the population to have an equal probability of being selected for the sample
tia_tia [17]

Answer:

True

Step-by-step explanation:

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4 0
3 years ago
Which of the following is most appropriate unit to describe the rate which people are entering a theme park?
Dovator [93]

It could have been oh so much easier to choose the best choice
if you had but told me what the choices are.

The most appropriate choice depends on why you want to know,
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Robbie went parasailing. his sail reached 141 feet. it descended 22 feet before staying in the same place for 10 minutes. what w
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141 minus 22 equals 119
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