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Darina [25.2K]
3 years ago
9

Construct a circle through points x y and z

Mathematics
1 answer:
faust18 [17]3 years ago
3 0
1. Open the compass to a little more than halfway across the line segment XY. Draw an arc centered at the first endpoint X across the line segment XY. Without changing the width of the compass, place the compass tip on the second endpoint Y. Draw a second arc across the line segment XY.
2. Line up a straightedge with the intersection of the arcs above the line XY, and the intersection of the arcs below the line. Draw a line connecting these two points. The line you draw is a perpendicular bisector. It bisects the line XY at a right angle.
3. Use a compass and straightedge to construct the bisectors of the line YZ as you did with the first line segment. Extend the bisectors long enough that they intersect. The point of their intersection is the center of the circle.
4. The radius of a circle is the distance from the center to any point on the circle’s edge. To set the width, place the tip of the compass on the center of the circle, and open the compass to any one of your original points.Swing the compass around 360 degrees so that it draws a complete circle. The circle should pass through all three points.




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A cylinder and a sphere have the same radius and volume. The height of the cylinder is 12 cm. What is the volume of the sphere r
Sedaia [141]

Answer:

3054

Step-by-step explanation:

The formula for cylinder volume is

V1 = π * r^2 *h

while formula for sphere volume is  

V2= 4/3 *  π  * r^3

Since the height of the cylinder is 12, we can substitute h the equation into

V1 = π * r^2 *12

The volume and radius of the cylinder are the same as the sphere, so we can combine both equations to find r.  

V1= V2

π * r^2 *12 =  4/3 *  π  * r^3  

12 = 4/3 * r

r= 12*3/4

r=9

After we find the radius, we can find the sphere volume

V2= 4/3 *  π  * r^3  

V2= 4/3 *  π  * 9^3  

V2=  3053.62 = 3054

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What’s the answer to question 3?
attashe74 [19]

Answer: The mean is <em>14</em> and the median is <em>14.5</em>

Step-by-step explanation:

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For the median, you put the numbers in order of least to greatest, as they are listed in the question. You then cross out a number from the left, then a number from the right, one at a time until you are left with either one middle number, or in this case two middle numbers. In this case you are left with 13 and 16. You then find the average of the two middle numbers, which in this case is 14.5

Hope this helps!

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Ainat [17]
The best thing to do here is to find ten percent, and then double it.
To do this, you divide the number you have by 10.
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Therefore, Kim saved $13 on the price of the dress.
Hope this helps :) 
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