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LenKa [72]
3 years ago
9

A guy wire attached to the top of a radio antenna is anchored to a point on the ground 20 m from the antenna's base. If the wire

makes an angle of 51° with level
ground, how high is the antenna?
The antenna is about m high
(Round to the nearest tenth as needed)
Mathematics
1 answer:
gregori [183]3 years ago
6 0

Answer:

the cosine of the angle equals 40.0 m divided by the length of the wire

cos(58º20') = 40.0 m / L

L = 40.0 m / cos(58º20')

Step-by-step explanation:

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Answer
Choice D
Company 2 is greater in avg rate of change by $750

=======================================

Explanation:

Average rate of change is the same as slope through two points. The two points are the endpoints of the interval. 

The x values we'll use is x = 0 and x = 12 since it constitutes the first 12 years (12-0 = 12)

For company 1, if x = 0 and x = 12, then y = 12000 and y = 30000 respectively. The two points (0,12000) and (12,30000) are on the graph for company 1
The slope of the line through these two points is
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Over the first twelve years, the average rate of change for company 1 is 1500

For company 2, the points (0,15000) and (12,42000) are on the graph
The slope of the line through these two points is
m = (y2-y1)/(x2-x1)
m = (42000-15000)/(12-0)
m = (27000)/(12)
m = 2250
Over the first twelve years, the average rate of change for company 2 is 2250

Now find the difference in the slopes
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Company 2's rate of change is larger by $750
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