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3 years ago

A circle has a diameter of 10 centimeters. What is the best approximation of its area? Use 3.14 to approximate for π .

2 answers:

8 0

Divide 10 by 2, gives you 5. multiply that by 5, 5*5= 25 then multiply that by 3.14. 25*3.14, gives you 78.5 hope this helped :D

Anton [14]3 years ago

5 0

If it has a diameter of 10, divide it by 2 to get Radius (5) because Area = πr²
Then you do r * π *r which would be 78.5. so C is your answer.

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3 years ago

Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.

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3 years ago

Read 2 more answers

The population of a community is known to increase at a rate proportional to the number of people present at time t. If the popu

Lady bird [3.3K]

Answer:

$P(t) = P(0)e^{0.0693t}$

Step-by-step explanation:

The population of a community is known to increase at a rate proportional to the number of people present at time t.

This means that the population growth is modeled by the following differential equation:

$\frac{dP(t)}{dt} = rP(t)$

Which has the following solution:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The population has doubled in 10 years

This means that $P(10) = 2P(0)$ . We use this to find r.

$P(t) = P(0)e^{rt}$

$2P(0) = P(0)e^{10r}$

$e^{10r} = 2$

$\ln{e^{10r}} = \ln{2}$

$10r = \ln{2}$

$r = \frac{\ln{2}}{10}$

$r = 0.0693$

So the equation that will estimate the population of the community in t years is:

$P(t) = P(0)e^{0.0693t}$

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3 years ago

At certain time of day , a 30 meter high building cast a shadow that is 31 meters long . what is the angle of the elevation of t

Nimfa-mama [501]

Answer:

Option C. 44 degree

Step-by-step explanation:

Let

A-----> the angle of the elevation of the sun

we know that

The tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A

In this problem

The opposite side is 30 meters

The adjacent side is 31 meters

$tan(A)=\frac{30}{31}$

$A=arctan(\frac{30}{31})=44\°$

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3 years ago