A pizza parlor charges $8 per pizza plus $0.65 per topping. Which equation can be used to find the cost of a pizza that costs $1
1 answer:
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Answer: Option C - Construction Y because point E is the circumcentre of triangle LMN.
Point E is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
Step-by-step explanation:
Before solving an algebra problem, it sometimes helps to get a geometric picture of what's happening. Geometry says that three points determine a circle - in other words, given three points that are not
all on the same line, there is exactly one circle which passes through all 3. Finding the point equidistant from the 3 points is the same thing as finding the center of the circle that passes through all of them (since all points on a circle are equidistant from the center).
Our points are L, M and N. Draw the lines LM, LN and MN to form a triangle. Now construct the perpendicular bisectors of any two of the lines, and their intersection, point E, will be the center of this circle.
As shown in the Construction Y because E is the circumcentre of triangle LMN.
This is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.
QED!
Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Step-by-step explanation:
The volume of a cone can be calculated with this formula:
Where "r" is the radius and "h" is the height.
We know that the radius is half the diameter. Then:
We know the volume and the radius of the conical container, then we can find "h":
The diameter and height doubled are:
Now the radius is:
And the container capacity is
Then, to compare the capacities, we can divide this new capacity by the original:
Therefore, the container's capacity would be 8 times its original capacity.