Solution :
It is given that :
Casey boarded a Ferry wheel at position of 3 'o' clock.
The angular speed of the Ferry wheel = 5.6 radians per minute
The radius of the Ferry wheel = 50 feet
The height of the center wheel of the Ferry from the ground = 55 feet
Let the number of minutes be = t
a). The expression of the varying number of radians θ is given by :
After t minutes, θ = angle swept
θ = 5.6 t radians
b). Finding the height from the center of the wheel.
We know that : y = r sin θ
Given r = 50 feet
So, y = 50 sin (5.6 t) feet
Therefore, the height above the ground can be found by :
h = y + 55 (from ground)
h = 50 sin (5.6 t) + 55 feet
The absolute value of -4.5 is 4.5
Let's start off by writing equations for each
Let's say the Red Bus Company is Company Red, and the Blue Bus Company is Company Blue to keep it short.
Company Red = 150 + 72(h) whereas h stands for how many hours
Company Blue = 240 + 54(h) whereas h stands for how many hours
Now, we plug in some numbers starting from 1 to see when the companies will match, however, I'll only do 2 examples to keep this short.
Let's start off at 5 hours (you can start off at any, but I prefer to be in the middle to see whether which company surpasses the other in cost and we can build off from there
Company Red:
150 + 72(5)
72 * 5 = 360
150 + 360 = 510
Company Blue:
240 + 54(5)
53 * 5 = 270
240 + 270 = 510
Wow, actually it looks like they charge will be the same after 5 hours. No need to do a second equation since we got it on our first try.
Answer:
135
Step-by-step explanation:
Angles 1 and 3 are vertical angles, so they are congruent.
Since angle 1 measures 135 deg, angle 3 also measures 135 deg.
Angles 3 and 7 are corresponding angles of parallel lines cut by a transversal, so they are congruent.
Since angle 3 measures 135 deg, angle 7 also measures 135 deg.
Answer: m<7 = 135 deg
