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3 years ago

Sound travels about 750 miles per hour. If you stand in a canyon and sound a horn, you will hear an echo.

Mathematics

1 answer:

cricket20 [7]3 years ago

8 0

Answer:

The sound takes time to go to a point and reflect back to your position.

It means the sound went twice a distance.

=> Suppose it takes about 0.5 seconds to hear the echo, the canyon wall would be [750 x (0.5/3600)]/2 = 0.052 miles

=> Suppose it takes about n seconds to hear the echo, the canyon wall would be [750 x (n/3600)]/2 miles

Hope this helps!

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Henry has been typing a book report that contains 1250 words. So far he has been typing for 1/4 hour at a rate of 30 words per m

Rasek [7]

He must type the remainder of the report by rate 32 words per minute to finish it in 25 minutes

Step-by-step explanation:

The given is:

Henry has been typing a book report that contains 1250 words
He has been typing for 1/4 hour at a rate of 30 words per minutes
He must type the remainder of the report in 25 more minutes

We need to find his rate to finish the remaining report in 25 minutes

∵ Henry has been typing for 1/4 hour at a rate of 30 words per minute

- We must to change $\frac{1}{4}$ hour to minutes

∵ 1 hour = 60 minutes

∴ $\frac{1}{4}$ hour = $\frac{1}{4}$ hour × 60 = 15 minutes

∴ He has been typing for 15 minutes at a rate of 30 words per minute

∵ The number of words has been typed = his rate × time

∴ The number of words has been typed = 30 × 15 = 450 words

∵ The book report that contains 1250 words

- Subtract the number of words has been typed from the total

words to find the remaining word in the book

∴ The remaining words = 1250 - 450 = 800 words

∵ He plans to finish them in 25 minutes

- Substitute the number of the remaining words and the time

in the rule above to find his rate

∵ 800 = his rate × 25

- Divide both sides by 25

∴ His rate = 32 words per minute

He must type the remainder of the report by rate 32 words per minute to finish it in 25 minutes

Learn more:

You can learn more about the rate in brainly.com/question/10712420

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3 years ago

Choose the abbreviation of the postulate or theorem that supports the conclusion that WAS NOT. Given: WS = NT, AS = OT, S = T.

koban [17]

Answer: The abbreviation that supports the conclusion is SAS

Step-by-step explanation:

Given WS=NT

AS=OT

S=T

We have two triangles named WAS and NOT

where we have two sides (WS=NT and AS=OT)

and an angle(S=T) equal

Since the angle is between the two sides

So the postulate that supports is SAS

i.e Side Angle Side

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Nina [5.8K]

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Step-by-step explanation:

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An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object i

natima [27]

Answer:

Using the concept of speed-distance-time, we find that the diameter of the circular path is 12 inches.

Step-by-step explanation:

Given that the object completes one revolution in 8 seconds. So, the circular speed of the object is 2πr/8 = πr/4 inches per seconds, where r is the radius of the circular path. The speed can be written as:

πr/4 inches per seconds = 60πr/4 inches per minute = 15πr inches per minute.

But, it is given that the circular speed of the object is 90π inches per minute. So,

90π = 15πr

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Since, diameter is the double of radius, d = 2r = 12 inches.

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2 years ago