How many unit cubes are on each layer of this cube
2 answers:
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a) 75 percent of the regular price is the price for senior citizens.
b) $6.712 is the price for senior citizens.
<u>Step-by-step explanation</u>:
- The regular price is the 100% = $8.95
- The offer price for senior citizen = 15% discount from 100%
∴ Percent of the regular price for senior citizens = 100% - 15% = 75%
The price for the senior citizens = 75% of $8.95
⇒ (75/100)8.95
⇒ 0.758.95
⇒ 6.712 dollars.
∴ The price for senior citizens = $6.712
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!
