Answer:
v_top = 2400 mi/hr
v_w = 400 mi/h
Step-by-step explanation:
Given:
- Total distance D = 4800 mi
- Headwind journey time taken t_up= 3 hr
- Tailwind journey time taken t_down = 2 hr
Find:
Find the top speed of Luke's snow speeder and the speed of the wind.
Solution:
- The speed of Luke v_l is in stationary frame is given by:
v_l = v_w + v_l/w
Where,
v_w: Wind speed
v_l/w: Luke speed relative to wind.
- The top speed is attained on his returned journey with tail wind. We will use distance time relationship to calculate as follows:
v_top = D / t_down
v_top = 4800 / 2
v_top = v_down = 2400 mi/hr
- Similarly his speed on his journey up with head wind was v_up:
v_up = D / t_up
v_up = 4800 / 3
v_up = 1600 mi/hr
- Now use the frame relations to find the wind speed v_w:
v_down = v_w + v_l/w
v_up = -v_w + v_l/w
- Solve equations simultaneously:
2400 = v_w + v_l/w
1600 = -v_w + v_l/w
4000 = 2*v_l/w
v_l/w = 2000 mi/h
v_w = 400 mi/h
Answer:
p -1 = 5p + 3p -8
p=1
Step-by-step explanation:
p -1 = 5p + 3p -8
Combine like terms
p-1 = 8p -8
Subtract p from each side
p-1-p = 8p-p -8
-1 = 7p -8
Add 8 to each side
-1 +8 =7p-8+8
7 = 7p
Divide by 7
7/7 = 7p/7
1 =p
2x + 6y = 12
6y = -2x + 12
y = -2x/6 + 12/6
y = -1/3 x + 2
Step-by-step explanation:
Angle at center = 2 * Angle at circumference.
Angle MNP = 2 * Angle MQP = 30°.
Hence the angle measure of minor arc MP is 30°.
Answer:
1. Frame 1 to Frame 2 - Vertical downward translation
2. Frame 2 to Frame 3 - 
counterclockwise rotation
3. Frame 3 to Frame 4 - Vertical upward translation
Step-by-step explanation:
The movement of the shapes from one frame to the other can be described by solid transformations. These are procedures required to change the orientation or size of a given shape. They include: rotation, translation, dilation and reflection.
1. When the shape in frame 1 is translated vertically downwards, it would produce the shape in frame 2.
2. Rotating the shape in frame 2 by counterclockwise would move it to the shape in frame 3.
3. Vertical upward dilation would move the shape in frame 3 to that in frame 4.
