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3 years ago

Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?

2 answers:

6 0

This can have two scenarios: Angle J is the vertex and angle K is one of the base angles, or angle K is the vertex and angle J is one of the base angles. We can check this easily by seeing if they add up to 180.

Checking if the base angle is 72, we see that it fits, because 36+2(72)=180. Thus, the two base angles are angles J and L. Angle L is 72°.

Hope this helped!

Blizzard [7]3 years ago

3 0

Answer:

b.) Angle L is a base angle and measures 72°.

Step-by-step explanation:

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The function h is given by h ( t ) = ( 1 − t ) ( 8 + 16 t ) models the height of a ball in feet, t seconds after it is thrown.

Elena-2011 [213]

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Answer:

zeros: t = 1, t = -1/2
no: the domain of the function is t ≥ 0
8 feet

Step-by-step explanation:

The zeros are the values of t that make the factors zero.

1 -t = 0 ⇒ t = 1

8 +16t = 0 ⇒ t = -8/16 = -1/2

The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.

Only the positive zero is in the function's domain, so that is the only one that is meaningful.

When t = 0 (at the time the ball is thrown), the function value is ...

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3 years ago

For the system below identify the parameters as growth rates, carrying capacities, and measure of interactions between species.

babunello [35]

Answer:

2 and 3 are the the growth rates parameter for x and y respectively
16 and 20 are the carrying capacities for x and y respectively
2 and 7 measures the benefit to x and y of the interaction of the two species.

The species compete each other.

Step-by-step explanation:

When we have a population model for two species as we have here, the differential equations looks like this:

$\frac{dx}{dt}=a*x+b\frac{x^{2}}{N}+c*xy$

$\frac{dy}{dt}=d*x+e\frac{y^{2}}{M}+f*xy)$

Here:

a and d are the the growth rates parameter for x and y respectively

N and M are the carrying capacities for x and y respectively

c and f measures the benefit to x and y of the interaction of the two species.

So in our case we have:

$\frac{dx}{dt}=2*x+\frac{x^{2}}{16}+2*xy$

$\frac{dy}{dt}=3*x-\frac{x^{2}}{20}-7*xy$

Therefore:

2 and 3 are the the growth rates parameter for x and y respectively
16 and 20 are the carrying capacities for x and y respectively
2 and 7 measures the benefit to x and y of the interaction of the two species.

The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.

I hope it helps you!

3 0

3 years ago