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3 years ago

If Herschel walker can sprint 40 meters in 4.35 seconds, how many miles per hour is he running? Round to the nearest tenth

Mathematics

1 answer:

-BARSIC- [3]3 years ago

5 0

Answer:

B) 20.6 mi/hr

Step-by-step explanation:

To solve this, we need to first convert 40 meters to mile, then convert 4.35 seconds to hour, then solve by proportion.

converting 40 meters to mile;

1 mile = 1609.344 meter

x = 40 meters

1609.344x = 40

x = 40/1609.344

x =0.02485 mile

Then converting seconds to hour

1 hour = 3600 seconds

y = 4.35 seconds

3600 y = 4.35

y=4.35/3600

y =0.00121 hour

Using proportion to solve the question

Let n be the number he runs miles per hour

0.02485 mile = 0.00121 hour

n = 1 hour

cross-multiply

0.00121 n = 0.02485

Divide both-side by 0.00121

0.00121 n/0.00121 = 0.02485/0.00121

n ≈ 20.6 mile/hour

Therefore, he is running 20.6 mi/hr

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Answer:

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Step-by-step explanation:

The cost of one pencil and one pen is required.

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Answer:

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Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

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Then, the work consists in finding pairs (a,b) for which:

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$\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}$

I will use b =0.5, b = 1, b = 1.5, b = 2

$b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236$

Then, four distinct complex numbers that have an absolute value of 3 are:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

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