Answer:
Step-by-step explanation:
Let the speed of plane is p and speed of the wind is w.
<u>Then we have:</u>
- 10*(p + w) = 1120 ⇒ p + w = 112
- 20*(p - w) = 1120 ⇒ p - w = 56
<u>Sum the two equations and solve for p:</u>
- p + w + p - w = 112 + 56
- 2p = 168
- p = 84
<u>Find w:</u>
- 84 + w = 112
- w = 112 - 84
- w = 28
Using the Law of Sines (sina/A=sinb/B=sincC for any triangle)
sinc/28=sin90/53 (sin90=1) multiply both sides by 28
sinc=28/53 take the inverse of sin (arcsin) of both sides
c=arcsin(28/53)°
c≈31.89° (to nearest hundredth of a degree)
So it is obvious that they rounded to nearest tenth of a degree
c≈31.9°
Distribute
5c + 4 = 2c - 10
Subtract 2c from each side
3c + 4 = -10
Subtract 4 from each side
3c = -14
Divide each side by 3
c = -4 2/3
The answer is #1
Answer: He will pick up a signal from the transmitter 29.43 miles of the drive.
Step-by-step explanation:
Since we have given that
Radius = 29 mile
So, equation of circle would be
There is a straight line from a city 32 miles north i.e. (0,32) to a second city 40 miles east of the transmitter i.e. (40,0)
So, equation of line would be
So, we will put this value in the equation of circle.
So, x= 4.12 and x = 27.1
So, y = 28.7, y = 10.32
So, distance between them would be
Hence, he will pick up a signal from the transmitter 29.43 miles of the drive.
To isolate the variable means to have it by itself on one side of the equation, where the variable equals an expression.
To isolate , we will need to remove the variables and other terms "connected" to the variable:
By dividing terms "connected" to our variable, we have isolated it one side of the equation.