Answer:
- 8π radians/second
- 527.8 meters
Step-by-step explanation:
A) The angular velocity is the ratio of angular distance to time:
ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)
ω = 8π radians/second
__
B) The arc length is ...
s = rθ = rωt
s = (35 cm)(8π rad/s)(60 s) = 16,800π cm
s ≈ 52779 cm = 527.79 m
The wheel travels about 527.8 meters in one minute.
We are going to continue the process; this time we are going to evaluate both functions at x=2.4:
For our first function:




For our second function:




To the nearest tenth:

We can conclude that the positive solution of our functions to the nearest tenth is

.
Answer:
<u><em>x = 4</em></u>
<u><em>x = 3</em></u>
<em><u>x = 10</u></em>
<u><em>x = 3</em></u>
<em><u>x = 16</u></em>
<em><u>x = 35</u></em>
Step-by-step explanation:

x · 10 = 5 · 8
10x = 40
10x ÷ 10 = 40 ÷ 10
<u><em>x = 4</em></u>

x · 8 = 12 · 2
8x = 24
8x ÷ 8 = 24 ÷ 8
<u><em>x = 3</em></u>

x · 3 = 15 · 2
3x = 30
3x ÷ 3 = 30 ÷ 3
<em><u>x = 10</u></em>

x · 12 = 6 · 6
12x = 36
12x ÷ 12 = 36 ÷ 12
<u><em>x = 3</em></u>

x · 2 = 8 · 4
2x = 32
2x ÷ 2 = 32 ÷ 2
<em><u>x = 16</u></em>

x · 2 = 10 · 7
2x = 70
2x ÷ 2 = 70 ÷ 2
<em><u>x = 35</u></em>
Answer:
poop i forgot my ramen noodles are in the microwave
Step-by-step explanation: