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2 years ago

Convert 72 miles per hour into feet per second: Show all work.

Mathematics

2 answers:

koban [17]2 years ago

6 0

Answer:

Step-by-step explanation:

72 mph = 105.6 ft per second

Thanks to google.com

Veronika [31]2 years ago

3 0

Answer:

105.6 feet per second.

Step-by-step explanation:

We need to convert 72 miles per hour into feet per second.

1 mile = 5280 feet

1 hour = 3600 seconds

Using these conversions, we get

72 mile = 380160 feet

Now,

$72\text{ miles per hour}=\dfrac{72\text{ miles}}{1\text{ hour}}$

$72\text{ miles per hour}=\dfrac{380160\text{ feet}}{3600\text{ seconds}}$

$72\text{ miles per hour}=105.6 \text{ feet per second}$

Therefore, the required value is 105.6 feet per second.

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4-14 Practice Problems

Kazeer [188]

Answer:

5 months

Step-by-step explanation:

Equation A: 15+30x

Equation B: 35x

In 5 months Gym a will cost 15+30(5) or $175 and Gym B will also cost $175.
Basically all you have to do is apply reasonable numbers until you find out where the costs will meet up.

6 0

1 year ago

Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8))

BartSMP [9]

By using De Moivre's theorem:

If we have the complex number ⇒ z = a ( cos θ + i sin θ)
∴ $\sqrt[n]{z} = \sqrt[n]{a} \ (cos \ \frac{\theta + 360K}{n} + i \ sin \ \frac{\theta +360k}{n} )$
k= 0, 1 , 2, ..... , (n-1)

For The given complex number ⇒ z = 81(cos(3π/8) + i sin(3π/8))


Part (A) find the modulus for all of the fourth roots

∴ The modulus of the given complex number = l z l = 81

∴ The modulus of the fourth root = $\sqrt[4]{z} = \sqrt[4]{81} = 3$

Part (b) find the angle for each of the four roots

The angle of the given complex number = $\frac{3 \pi}{8}$
There is four roots and the angle between each root = $\frac{2 \pi}{4} = \frac{\pi}{2}$
The angle of the first root = $\frac{ \frac{3 \pi}{8} }{4} = \frac{3 \pi}{32}$
The angle of the second root = $\frac{3\pi}{32} + \frac{\pi}{2} = \frac{19\pi}{32}$
The angle of the third root = $\frac{19\pi}{32} + \frac{\pi}{2} = \frac{35\pi}{32}$
The angle of the fourth root = $\frac{35\pi}{32} + \frac{\pi}{2} = \frac{51\pi}{32}$

Part (C): find all of the fourth roots of this

The first root = $z_{1} = 3 ( cos \ \frac{3\pi}{32} + i \ sin \ \frac{3\pi}{32})$
The second root = $z_{2} = 3 ( cos \ \frac{19\pi}{32} + i \ sin \ \frac{19\pi}{32})$

The third root = $z_{3} = 3 ( cos \ \frac{35\pi}{32} + i \ sin \ \frac{35\pi}{32})$
The fourth root = $z_{4} = 3 ( cos \ \frac{51\pi}{32} + i \ sin \ \frac{51\pi}{32})$

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2 years ago

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iragen [17]

-60 djdjjeejjejdjdjdjdjejejejejdjdjjd

8 0

2 years ago

General admission tickets to the fair cost $3.50 per person ride passes cost an additional $5.50 per person parking costs $6 for

Ghella [55]

5, 3.50+5.50= 9 per person 6 parking so 51-6 for parking = 45 and 45/9= 5

8 0

2 years ago

Determine weather randomly picking a blue card from a bag containing all blue cards is impossible, unlikely, as likely as not, l

Anuta_ua [19.1K]

Answer:

The correct answer is certain with probability equal to 1.

Step-by-step explanation:

Probability is a mathematical framework which helps us to analyze chance of the outcome in a particular experiment. The value of probability is given by the ratio of the possible outcomes favorable to a certain experiment to the total outcomes.

We say an event is certain when the probability is 1 and the probability is zero when the event is uncertain.

Here the experiment is picking a blue card from a bag containing all blue cards.

Possible outcomes are all the cards colored blue in the bag.

Total outcomes are also all the blue cards in the bag.

∴ The value of probability is 1 as the event is certain because if we pick a card from the bag containing only blue cards, it would certainly give us a blue card.

5 0

2 years ago

Convert 72 miles per hour into feet per second: Show all work.​

Convert 72 miles per hour into feet per second: Show all work.