Answer:

Step-by-step explanation:
<u>Step 1: Distribute
</u>



Answer:

<u>If needed solve for b
</u>



1/3 because if you dived 7 by both of them by you would get 1/3
N= -20/133
Step 1: Simplify both sides of the equation.
−
2
(
−
4
n
+
1
)
+
5
(
25
n
−
8
)
=
−
62
(
−
2
)
(
−
4
n
)
+
(
−
2
)
(
1
)
+
(
5
)
(
25
n
)
+
(
5
)
(
−
8
)
=
−
62
(Distribute)
8
n
+
−
2
+
125
n
+
−
40
=
−
62
(
8
n
+
125
n
)
+
(
−
2
+
−
40
)
=
−
62
(Combine Like Terms)
133
n
+
−
42
=
−
62
133
n
−
42
=
−
62
Step 2: Add 42 to both sides.
133
n
−
42
+
42
=
−
62
+
42
133
n
=
−
20
Step 3: Divide both sides by 133.
133
n
133
=
−
20
133
n
=
−
20
133
Answer:
x = 28.07°
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle given = x°
Opposite = 8
Hypotenuse = 17
Apply SOH:

Substitute


x = 28.07° (nearest hundredth)
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:

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


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:

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

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

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