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s344n2d4d5 [400]
3 years ago
15

Sate the equation that relates arc length to central angle

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0
S =rO
The length of an arc is related to the radius and the central angle in the formula. s = rθ. where s is the arc length, r is the radius and θ is the angle in radians. Remember that to convert from radians to degrees, 2π radians = 360 degrees, so if φ = the angle in degrees, then the equation becomes this:

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The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of app
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Answer:

Q(t) = 4.5(1.013)^{t}

The world population at the beginning of 2019 will be of 7.45 billion people.

Step-by-step explanation:

The world population can be modeled by the following equation.

Q(t) = Q(0)(1+r)^{t}

In which Q(t) is the population in t years after 1980, in billions, Q(0) is the initial population and r is the growth rate.

The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of approximately 1.3%/year.

This means that Q(0) = 4.5, r = 0.013

So

Q(t) = Q(0)(1+r)^{t}

Q(t) = 4.5(1.013)^{t}

What will the world population be at the beginning of 2019 ?

2019 - 1980 = 39. So this is Q(39).

Q(t) = 4.5(1.013)^{t}

Q(39) = 4.5(1.013)^{39} = 7.45

The world population at the beginning of 2019 will be of 7.45 billion people.

6 0
3 years ago
One side of a kite is 5 cm less than 2 times the length of another. If the perimeter is 14 cm, find the length of each side of t
Phoenix [80]
<h3>Answer:</h3>

D) 4 cm, 3 cm

<h3>Step-by-step explanation:</h3>

Let x represent the length of "another" side. Then "one side" can be represented by (2x -5 cm).

The perimeter of the kite is the sum of two sides of each length:

... P = 14 cm = 2(x) + 2(2x -5 cm)

Dividing by 2 and collecting terms, we have ...

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... 4 cm = x . . . . the length of "another" side

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The two different side lengths are 4 cm and 3 cm.

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Answer:

m = -3.6 / -9.5 = 0.37895

Step-by-step explanation:

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