Mathematics, 22.06.2019 06:00 Eska12

Sound travels about 750 miles per hour. a) suppose it takes about 1.5 seconds to hear the echo. how far away is the canyon wall, in feet? for this i got 825 ft b) suppose you stand 1,925 feet from the canyon wall and sound the horn. how long will it take to hear the echo? (i'm stuck on this)

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Answer from: paulasuarez8276

1. 1,650 ft

2. 1.75 sec

Step-by-step explanation:

Sound travels about 750 miles per hour. Convert the sound's speed into feet per second. Since

1 mile = 5,280 feet, then

750 miles = 750·5,280 feet = 3,960,000 feet.

1 hour = 60 minutes,

1 minute = 60 seconds, then

1 hour = 3,600 seconds.

Hence,

$750\ \dfrac{mi}{h}=\dfrac{3,960,000}{3,600}\ \dfrac{ft}{sec}=1,100\ \dfrac{ft}{sec}.$

1. If it takes about 1.5 seconds to hear the echo, then the canyon is

$1100\cdot 1.5=1,650\ ft$ away.

2. If you stand 1,925 feet from the canyon wall and sound the horn, then it will take

$\dfrac{1,925}{1,100}=1.75\ sec$

to hear the echo.

Answer from: fonsworth5

A. 824 feet B. 3.5 seconds

Step-by-step explanation:

A) We hear the echo after 1.5 seconds. Let the distance from a person to canyon wall is x miles.

Then echo of a sound will travel the distance (2x) miles

Since speed = $\frac{Distance}{Time}$

Here speed of sound = 750 miles per hour

or = $\frac{750}{60\times 60}$ miles per second

= 0.208 miles per second

and time = 1.5 seconds

Now we plug in the values in the formula

0.208 = $\frac{2x}{1.5}$

x = $\frac{1.5\times 0.208}{2}$

= 0.156 miles ≈ 0.156 × 5280

≈ 824 feet.

B) If the person is standing 1,925 feet from the canyon wall then we have to find the time after which he will hear the echo.

Since speed = $\frac{Distance}{time}$

Here speed = 750 miles per hour

and Distance = 2 × 1925 feet or $\frac{2\times 1925}{5280}$ = 0.73 miles

We will plug in these values in the formula.

750 = $\frac{0.73}{t}$

t = $\frac{0.73}{750}$

= 0.00097 hours

≈ 0.00097 × 3600 seconds

≈ 3.5 seconds

Answer from: Quest

Idk idk idk idk idk idk idk idk

Answer from: Quest

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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Sound travels about 750 miles per hour. a) suppose it takes about 1.5 seconds to hear the echo. how...