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3 years ago

14

An angle measures 56.4° less than the measure of its supplementary angle. What is the measure of each angle?

1 answer:

Leokris [45]3 years ago

4 0

Answer:

61.8 and 118.2

Step-by-step explanation:

Let's call one angle A and the other B. Supplementary angles add to 180, so A+B=180. If B=A+56.4, then we can rewrite the equation in terms of A, or A+(A+56.4)=180 or 2A+56.4=180. To solve, first subtract 56.4 from each side and then divide by 2 to get A=61.8. Since the angle is supplementary, all we need to do to find B is subtract A (61.8) from 180 to get B=118.2.

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4 years ago

If you are 600 m from a batter when you see him hit a ball, how long will you wait to hear the sound of the bat hitting the ball

Molodets [167]

Answer:

<em>The speed of sound at 20°C is 343.42 m/s.</em>

<em>You have to wait 1.75 seconds to hear the sound of the bat hitting the ball</em>

Step-by-step explanation:

<u>Speed of Sound</u>

The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.

The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:

$\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot T )~~~\mathrm {m/s}$

The air is at T=20°C, thus the speed of sound is:

$\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot 20 )~~~\mathrm {m/s}$

$v_{\mathrm {s} }=343.42\ m/s$

The speed of sound at 20°C is 343.42 m/s.

To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

$\displaystyle v=\frac{d}{t}$

Where d is the distance and t is the time. Solving for t:

$\displaystyle t=\frac{d}{v}$

Substituting the values v=343.42 m/s and d=600 m:

$\displaystyle t=\frac{600}{343.42}$

t = 1.75 s

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

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kite

Step-by-step explanation:

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