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Alexxandr [17]
3 years ago
12

Computer usage has increased over time. But has the increase been more linear or more exponential? In 1997, 22.2% of the populat

ion over three years of age, or about 60 million people, used the internet. In 1998, 32.7% of the population over three years of age, or about 90 million people, used the internet.
a. If the usage increased linearly, write the linear function that would give 60 million people in year 0 and 90 million in year 1.
Mathematics
1 answer:
denis23 [38]3 years ago
3 0

That's an increase of 30,000,000 people in one year, a slope of 30 million and a good year for the internet.

If t is the year, and p is number of internet users,

p = 30000000(t - 1997) + 60000000

Answer: p = 30000000(t - 1997) + 60000000

As for linear versus exponential, one year of data can't really distinguish.

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Answer:

A 90

Step-by-step explanation:

multiple ways to prove this.

e.g. since the angle between the two lines from the center of the circle to the 2 tangent touching points is 90 degrees (that is the meaning of these 90 degrees here as the angle of the circle segment defined by the 2 tangent touching points and the circle center), the tangents have the same "behavior" as tan and cot = the tangents at the norm circle at 0 and 90 degrees. they hit each other outside of the circle again at 90 degrees.

another way

imagine the two right triangles of the tangents crossing point to the circle center and the tangent/circle touching points.

the Hypotenuse of each triangle is cutting the 90 degree angle of the circle segment exactly in half (due to the symmetry principle). so the angle between radius side and Hypotenuse is 90/2 = 45 degrees.

that means also the angle of such a right triangle at the tangent crossing point is 45 degrees (as the sum of all angles in a triangle must be 180, we have the remainder of 180 - 90 - 45 = 45 degrees).

the angles of both right triangles at that point are the same, and so we can add 45+45 = 90 degrees for the total angle at the tangent crossing point.

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Esta es la respuesta
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