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Katarina [22]
3 years ago
10

A sound wave travels through iron at a rate of 5120\,\dfrac{\text{m}}{\text{s}}5120 s m ​ 5120, start fraction, start text, m, e

nd text, divided by, start text, s, end text, end fraction. At what rate does the sound wave travel in \dfrac{\text{km}}{\text{h}} h km ​ start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction? \dfrac{\text{km}}{\text{h}} h km ​
Mathematics
1 answer:
klio [65]3 years ago
6 0

Answer:

18432 km/h

Step-by-step explanation:

It is given that a sound wave travels through iron at a rate of 5120 m/s.

We know that

1 km = 1000 m

1 hour = 60 minutes

1 minutes = 60 second

Using these conversions we get

1 m = 0.001 km

1 hour  = 3600 second

5120\text{ m/s }=5120\times 0.001\times 3600\text{ km/h}

5120\text{ m/s }=18432\text{ km/h}

Therefore, the sound wave travels through iron at a rate of 18432 km/h.

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The result of taking 3 from x and multiplying the answer by 4 is the same qs taking 3 from 5 times x
Alekssandra [29.7K]

Answer:

I think it is this:

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

4x-12 = 5x-3x

2x = 12

x = 6

5 0
3 years ago
A quarterback throws a football with a velocity of 41 mph and a direction of 168°. The wind on the field is 11 mph with a direct
Cerrena [4.2K]

The true speed and direction of the football thrown by the  quarterback is 30.185 mph and 9⁰ respectively.

<h3>Relative velocity of the football</h3>

The true speed and direction of the football is determined by applying the concept of relative velocity.

Vr/w = Vb - Vw

where;

  • Vr/w is the velocity of the football with respect to the wind
  • Vb is the velocity of the football
  • Vw is the velocity of the wind

Vr/w = 41 mph - 11 mph = 30 mph

The direction speed can be determined by sketching a triangle

Direction of the speed, θ = (360 - 339) - (180 - 168)

                                       θ = 21 - 12 = 9⁰

<h3>Resultant speed;</h3>

R² = 41² + 11² - 2(41 x 11 x cos9)

R² = 911.105

R = √911.105

R = 30.185 mph

Thus, the true speed and direction of the football thrown by the  quarterback is 30.185 mph and 9⁰ respectively.

Learn more about relative velocity here: brainly.com/question/17228388

#SPJ1

8 0
2 years ago
Karen's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Karen $5.80 per pound, and type
Elina [12.6K]

Answer:

76

Step-by-step explanation:

A + B = 127

5.80A + 4.25B = 657.55

Solve with substitution.

5.80A + 4.25(127 − A) = 657.55

5.80A + 539.75 − 4.25A = 657.55

1.55A = 117.80

A = 76

8 0
3 years ago
Can there be more than one coefficient in a expression?
Lorico [155]

Answer:

yes

Step-by-step explanation:

take for example

in the expression: 3x²+5x+2=0,

the coefficients here are +3 and +5 while +2 is a constant. +3 and +5 are coefficients of the variables x² and x respectively

4 0
3 years ago
What are the solutions to 3n-1 &gt; 8 or 4n+ 3 ​
Mandarinka [93]

Answer:

n>3

Step-by-step explanation:

Step 1: Add 1 to both sides.

3n−1+1>8+1

3n>9

Step 2: Divide both sides by 3.

3n/3>9/3

n>3

3 0
3 years ago
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