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Romashka-Z-Leto [24]

3 years ago

8

A square has an area of 196 cm 2. what is the radius of the largest circle you can fit inside

1 answer:

GuDViN [60]3 years ago

7 0

A circle with a radius of 7cm. I know this is late lol. A square is equilateral so all sides are equal. To find the side lengths given the area you just need to take the square root of the area. You get 14cm. If you put a circle in the square the radius would just be half of one side.

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

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

4 0

3 years ago

A car was traveling 86 kilometers per hour.

ki77a [65]

Its easy to convert 86 kilometers per hour to meters per second :

Just divide the speed which is 86 by 3.6

86 divide 3.6 = 24 m/s or meter per second

8 0

3 years ago

F(X)=X^3 + 4 X^2-10=0 (between X=1 , X=2) بطريقه ال Bisection method<br><br>please fast

svetlana [45]

I hope it's helpful for u but I am not sure my answer is right !

6 0

3 years ago

Look at picture. Tell me what G(x)=?

kari74 [83]

The answer is 3 :) hope helps

8 0

3 years ago

Read 2 more answers

How do u work this problem out

charle [14.2K]

Okay what problem is it that you need help with??

4 0

3 years ago