Answer:
1. -19x
3. 23 - 8x
5. -18x + 2y
Step-by-step explanation:
first: 3x - x = 2x
2x - 22x = -20x
-20x + x = -19x
second one:
8 - (-15) = 23
12x - 20x = -8 x
23 - 8x
third:
-10x - 8x = -18x
3y - y = 2y
-18x + 2y
140 divided by 14 is your base, which is 10 square meters.
Answer:
695.87 Hz
Step-by-step explanation:
Using the equation for Doppler shift, the frequency of the apparent sound is f' = f(v ± v')/(v ± v") where f = frequency of sound emitted by the plane's engine = 485 Hz, v = speed of sound in air = 330 m/s, v' = speed of crowd(detector) = 0 m/s (since the crowd are stationary) and v" = speed of plane(source) = 100 m/s
So, f' = f(v ± v')/(v ± v")
f' = f(v ± 0)/(v ± v")
f' = fv/(v ± v")
Since the source moves towards the detector, we use a minus a minus sign in the denominator to get a shift upwards in frequency since a shift upwards means the objects are moving closer to each other.
So,
f' = fv/(v - v")
Substituting the values of the variables into the equation, we have
f' = 485 Hz × 330 m/s/(330 m/s - 100 m/s)
f' = 160050 Hzm/s ÷ 230 m/s
f' = 695.87 Hz
$45 x .15 = $6.75 + $45 = $51.75
Hope this helps.
We can set this into a proportion
6 100
--- = -----
8 x
then cross multiply and divide
8 times 100 =800 divided by 6 = 133
the height is 133