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RideAnS [48]
2 years ago
13

5. How long would it take sound waves traveling through air that is 68°F to travel 2,058 meters? Use an equation to solve the pr

oblem.
Mathematics
1 answer:
svp [43]2 years ago
4 0

Answer:

6 seconds

Step-by-step explanation:

Temperature of air = 68^{\circ}\text{F}

Converting to Celsius

T=(68-32)\dfrac{5}{9}=20^{\circ}\text{C}

Speed of sound in air is given by

v=331.3\sqrt{1+\dfrac{T}{273.15}}\\\Rightarrow v=331.3\sqrt{1+\dfrac{20}{273.15}}\\\Rightarrow v=343.21\ \text{m/s}

d = Distance to travel = 2058 m

Time is given by

t=\dfrac{d}{v}\\\Rightarrow t=\dfrac{2058}{343.21}\\\Rightarrow T=5.99\approx 6\ \text{s}

Time taken to travel 2058 m is 6 seconds.

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Step-by-step explanation:

measure of exterior angle = sum of 2 non adjacent angles

4X = 90 + X

3X = go

X=30

exterior angle = 30x 4 =120

8 0
3 years ago
According to a study, 91% of all adults have a cell phone. An employee of a cell phone company attends a community event and has
umka2103 [35]

Answer:

(0.91)^{20}(0.09)

Step-by-step explanation:

6 0
3 years ago
Piper is deciding between two truck rental companies. Company A charges an initial fee of $35 for the rental plus $3 per mile dr
vazorg [7]

Answer:

An equation for each situation, in terms of x

A = 35 + 3x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

Step-by-step explanation:

Let A represent the amount Company A would charge if Piper drives x miles

Let B represent the amount Company B would charge if Piper drives x miles.

Company A charges an initial fee of $35 for the rental plus $3 per mile driven.

A= $35 + $3 × x

A = 35 + 3x

Company B charges an initial fee of $80 for the rental plus $2 per mile driven.

B = $80 + $2 × x

B = 80 + 2x

The interval of miles driven x, for which Company A is cheaper than Company B.

= A < B

35 + 3x < 80 + 2x

3x - 2x < 80 - 35

x < 45 miles

That is: any number of miles driven below 45 miles makes Company A cheaper than Company B

The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.

5 0
3 years ago
About 80% of e-waste is shipped outside of the US. Which of the following statements about e-waste is false? A) E-waste is routi
Mrac [35]

Answer:

D)

Step-by-step explanation:

Right on Edge 2021

3 0
3 years ago
4 - The area of a rectangle is 256.5m. If the length is 18m what is the perimeter of the rectangle? -
attashe74 [19]
The equation of the area of a triangle is Area=Length×Width. We know area=256.5 and length is 18. So now we know 256.5=18×width. We then divide 256.5÷18 to get the width. The width is 14.25. Perimeter=legth+length+width+width. If width is 18 and length is 14.25 then we add up all 4 sides. 18+18+14.25+14.25=64.5. 64.5 is the perimeter
3 0
3 years ago
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