A rabbit is running at a speed of 45 miles per hour. How many feet is the rabbit traveling each second?

Mathematics

1 answer:

DaniilM [7]3 years ago

7 0

Answer:

Step-by-step explanation:

The rabbit is traveling 66 ft per second.

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The measure of an exterior angle of a triangle and the sum of the measures of the two remote interior angles are _____________.

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Answer:

The measure of an exterior angle of a triangle is supplementary to its adjacent interior angle. The sum of the remote interior angles must equal the measure of the exterior angle of the triangle.

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Find the midpoint of and label it D. Find the midpoint of and label it E. Record the coordinates of points D and E. When you’re

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Q4<br> Help pleaseeeeeeee

emmasim [6.3K]

a. The general equation for a circle centered at $(a,b)$ with radius $r$ is

$(x-a)^2+(y-b)^2=r^2$

The described circle has equation

$(x+3)^2+(y+2)^2=r^2$

We know the circle passes through the origin. This means that the equation above holds for $x=0$ and $y=0$ . The distance between any point on the circle and its center is the radius, so we can use this fact to determine $r$ :

$(0+3)^2+(0+2)^2=r^2\implies 9+4=13=r^2\implies r=\sqrt{13}$

So the circle's equation is

$(x+3)^2+(y+2)^2=(\sqrt{13})^2=13$

b. If the distance between point B and the center is less than $\sqrt{13}$ , then B lies inside the circle. If the distance is greater than $\sqrt{13}$ , it falls outside the circle. Otherwise, if the distance is exactly $\sqrt{13}$ , then B lies on the circle.