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Usimov [2.4K]
3 years ago
12

A circle's radius that has an initial radius of 0 cm is increasing at a constant rate of 7 cm per second. Write a formula to exp

resses the radius of the circle, r (in cm), in terms of the number of seconds, t , since the circle started growing.
Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

Answer:

r = 7t

or not mathematically,

r(t) = 7t

r(t) means, r, which is a function of t.

Step-by-step explanation:

Initial size of the radius = 0 cm, at t = 0 s

Rate of increase of the radius of the circle = 7 cm/s

dr/dt = 7

dr = 7 dt

∫ dr = 7 ∫ dt

r = 7t + C (C is the constant of integration)

At t = 0, r = 0,

0 = 0 + C

C = 0

r = 7t.

r(t) = 7t

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Answer:

60

Step-by-step explanation:

We can use the pythagorean theorem to find the leg.

10^2+x=13^2

x=12

We now find the area given the height of the triangle.

10 X 12=120

120/2=60

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2 years ago
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V = base×height - 1/3base×height
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3 years ago
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3 years ago
What is the circumference of the base
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In 2003 a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly.How m
sergiy2304 [10]

We will have the following:

First, we will have that the population change by:

\Delta P=2134-1431\Rightarrow\Delta P=703

So, the population changed by 703 people.

It took the follwoing number of years to change from 1431 to 2134:

\Delta y=2007-2003\Rightarrow\Delta y=4

So, it took 4 years to changes from 1431 to 2134.

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The average population growth per year is of 175.75 people per year.

The population in 2000 would have been:

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So, the population in 2000 would have been approximately 1429 people.

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So, the equation would be:

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