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AysviL [449]
2 years ago
5

A new cell tower is being constructed and needs a guy-wire connected 180 feet up the tower and it needs to make an angle of 52°

with the ground. What length does the wire need to be?
Mathematics
1 answer:
nevsk [136]2 years ago
6 0

Answer:

228.42 ft

Step-by-step explanation:

To solve for this question, we would be applying the Trigonometric function of Sine.

Sin theta = Opposite/Hypotenuse

Theta = 52°

Opposite = 180ft

Hypotenuse = Length of the wire = x

Hence:

sin 52 = 180/x

x = 180/sin 52

x = 228.42327871 ft

Approximately = 228.42 ft

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3 years ago
A certain insect can beat its wings 120 times per second write an equation in slope intercept from that shows the relationship b
dalvyx [7]

Answer:

The relationship between flying time in seconds in the number of times the insect beats its wings:

  • y = 120x

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

In our case,

Let 'x' be the flying time in seconds

Ley 'y' be the number of times the insect beats its wings

Given that a certain insect can beat its wings 120 times per second.

It indicates that the rate of change or slope = m = 120

In our case the y-intercept b = 0, as there is no initial condition mentioned here.

Now, substituting m = 120 and b = 0 in the slope-intercept form

y = mx+b

y = 120x+0

y = 120x

Therefore, the relationship between flying time in seconds in the number of times the insect beats its wings:

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3 years ago
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