Aplane takes off and travels at an angle of 40° north of east at 110mph for 2 hours. it then adjusts its path to head 10° west of north and travels in that direction for half an hour at a speed of 100mph. approximately how far away is the plane from its starting point?

248.80 miles ( Approx)

Step-by-step explanation:

Let A shows the initial position of the plane, B shows the position of plan after traveling at an angle of 40° north of east at 110 mph for 2 hours and C represents the final position of plan.

Then According to the question,

miles ( because plane traveled for 2 hours with the speed of 110 mph)

miles ( Because plane traveled for 1/2 hour with the speed of 50 mph)

Now,  ( shown on diagram)

Thus, By cosine law,

Thus, the plane is 248.80 miles from its starting point.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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