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3 years ago

13

Kelly's teacher asked her to draw a triangle that doesn't have any lines of symmetry what type of triangle should Kelly draw an

equilateral triangle and isosceles a scalene triangle the triangle could be scalene or isosceles

1 answer:

romanna [79]3 years ago

3 0

Answer:

Scalene type of triangle

Step-by-step explanation:

It can't be isosceles triangle because has at least one line of symmetry and an equilateral triangle has three lines of symmetry... While scalene does not have enough space to have sides with equal length.

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ivolga24 [154]

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Step-by-step explanation:

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The Department of Agriculture is monitoring the spread of mice by placing 100 mice at the start of the project. The population,

uranmaximum [27]

Answer:

Step-by-step explanation:

Assuming that the differential equation is

$\frac{dP}{dt} = 0.04P\left(1-\frac{P}{500}\right)$ .

We need to solve it and obtain an expression for $P(t)$ in order to complete the exercise.

First of all, this is an example of the logistic equation, which has the general form

$\frac{dP}{dt} = kP\left(1-\frac{P}{K}\right)$ .

In order to make the calculation easier we are going to solve the general equation, and later substitute the values of the constants, notice that $k=0.04$ and $K=500$ and the initial condition $P(0)=100$ .

Notice that this equation is separable, then

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Now, intagrating in both sides of the equation

$\int\frac{dP}{P(1-P/K)} = \int kdt = kt +C$ .

In order to calculate the integral in the left hand side we make a partial fraction decomposition:

$\frac{1}{P(1-P/K)} = \frac{1}{P} - \frac{1}{K-P}$ .

So,

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We have obtained that:

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Taking exponentials in both hands:

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