Fatima Sheroud sells children’s clothing for The Grasshopper Shoppe. She is paid weekly on a straight commission of 4% on sales
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Because there isnt 90 degrees angle in this triangle (triangle - starting point - point where he starts climbing- ending point) we will use cosine law to find magnitude of displacement. For cosine law we need 2 sides of triangle and angle between them which is exactly what is given.
a^2 = b^2 + c^2 - 2*b*c*cos(alpha)
after expressing values we get:
a^2 = 10000 + 1225 + 5734
a = 130,2 meters
to calculate angle we again use cosine law but now our unknown variable is angle alpha. our sides we will use are 100 meters and 130,2 meters because we need angle between them.
cos(alpha) = (b^2 + c^2 - a^2)/(2*b*c)
cos(alpha) = 0.98
alpha = 8.89 degrees
a^2 = b^2 + c^2 - 2*b*c*cos(alpha)
after expressing values we get:
a^2 = 10000 + 1225 + 5734
a = 130,2 meters
to calculate angle we again use cosine law but now our unknown variable is angle alpha. our sides we will use are 100 meters and 130,2 meters because we need angle between them.
cos(alpha) = (b^2 + c^2 - a^2)/(2*b*c)
cos(alpha) = 0.98
alpha = 8.89 degrees
Answer:
See below
Step-by-step explanation:
This graph could describe a relay race.
Jamie writes a scenario that can be modeled by the piecewise function on the graph.
The graph has time, in minutes on the x-axis and the distance, in miles on the y-axis.
The first part of the graph is the line starting from the origin through to the point (12, 1) then the second part starts from the point (12, 1) and ends on the point (20, 2).
1. A runner begins the race and runs at a steady pace for 1 minute.
- This is incorrect as describes the wrong axis.
It should say: a runner begins a race and runs at a steady pace for 12 minutes, completing 1 mile distance.
<u>The equation for this part:</u>
- y = mx + b
- b = 0 as it starts at origin.
- m = 1/12
- y = 1/12x
- x = [0, 12], y = [0, 1]
2. His partner then takes over and runs at a steady, but faster, pace for another 1 minute.
- Again, as above, wrong axis is described.
It should say: his partner then takes over and runs at a steady, but faster, pace for another 8 minutes, completing the last 1 mile of the race.
<u>The equation for this part:</u>
- b =1, as a starting point
- m = (2-1)/(20-12) = 1/8
- y = 1/8x + 1
- x = (12, 20], y = (1, 2]
