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daser333 [38]
3 years ago
13

Which geometric object is defined as the set of all points in a plane at a given distance from a given point

Mathematics
1 answer:
hodyreva [135]3 years ago
8 0

Answer:

Circle

Step-by-step explanation:

This object is what we call "circle". All the points in the circle are at the same distance from a given point which is the center of the circle. Moreover, the distance between the center and every point on the circle is called "radius". Higher values for the radius imply points at a higher distance from the center.

Additionally, we can calculate the perimeter of the circle, or the circumference, with the following formula:

circumference = 2*(radius) pi

Where pi is an irrational number usually used as 3.14.

If you have doubts, try to draw a circle and measure the distance between the center and any point on the circle.

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I NEED HELP ASAP PLEASE AND THANK YOU<br> What is the axis of symmetry?<br><br> y= -3 (x-2) (x-4)
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1 year ago
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3 years ago
The hypotenuse of a 30o-60o-90o triangle measures 4 square 3 inches. What is the length of the shorter leg?
Fofino [41]

<u><em>Answer:</em></u>

The shorter leg is 2\sqrt{3} inches

<u><em>Explanation:</em></u>

The 30°-60°-90° is a special type of right-angled triangles

<u>It has the following special side length:</u>

The length of the side opposite to the 30° is \frac{1}{2} the length of the hypotenuse

The length of the side opposite to the 60° is \frac{\sqrt{3} }{2} of the hypotenuse

<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles

<u>This means that</u> the shortest side will be the one opposite to the smallest angles

In our case, the shortest side will be the one opposite to the 30° angle

We are given that the hypotenuse of the triangle is 4\sqrt{3} in

<u>From the above:</u>

Shorter leg = leg opposite to 30° = \frac{1}{2} * hypotenuse = \frac{1}{2} * 4\sqrt{3} = 2\sqrt{2} inches

Hope this helps :)

5 0
3 years ago
Which of the following gives a single solution of the |x+3|- 2
topjm [15]

Answer:

x=-1

Step-by-step explanation:

given \left | x+3 \right |-2=0

\left | x+3 \right |=2

x+3=+2

x=-1,     also,  x+3=-2

                    x=-2-3=-5

hence x=-1 , -5 answer

6 0
3 years ago
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