A map of a new dog park shows that it is triangular and that the side measure 18.5m,36.9m, and 16.9m. Are the dimensions correct
1 answer:
Answer:
Therefore the Dimensions are not correct.
Because the sum of any two sides should be more than the third side.
Step-by-step explanation:
Let the dog park be of ΔABC having sides ,
AB = 18.5 m
BC = 16.9 m
AC = 36.9 m
To Check:
Dimension of Triangle is correct or not?
Solution:
Conditions for a figure to be considered a triangle :
- It must have 3 sides and 3 angles.
- The sum of any two sides should be more than the third side.
So, here we have ΔABC as Dog Park.
Which is not the required condition for a Triangle.
Therefore the Dimensions are not correct.
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Answer:
restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.
the revenue is $1983.75
Step-by-step explanation:
to calculate current revenue= $6 x 330 = $1980
suppose x as the number of times the price to be dropped by $0.25
then find new price.. i.e
new price= $(6-0.25x)
and, new sell=330 +15x sandwiches
therefore, the new revenue would be= (6-0.25x)(330 +15x)
in order to maximize the current revenue, simplify the above equation and make it complete square using x
(6-0.25x)(330 +15x)
=1980-82.5x +90x -3.75
=1980 + 7.5x -3.75
=1980-3.75 (-2x+) ----> taking out common
now, to make a complete square lets add and subtract 1 inside the parentheses
=1980-3.75(-1+1-2x+)
=1980 +3.75 -3.75( -2x +1)
=1983.75 -3.75 ---->(1)
as is positive always, minimize the other term in order to maximize the total revenue.
so the minimum possible value of = 0
therefore, x=1
putting x in eq(1) the revenure becomes,
$(1983.75-0)=> $1983.75
therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.
the revenue is $1983.75