Answer:
It will be an equilateral triangle and the area is 1924.5 sq. meters.
Step-by-step explanation:
If the total length of the fencing of 200 meters is utilized then the perimeter of the triangle will be 200 meters.
Now, we know that the type of triangle that gives the maximum area for a given perimeter is an equilateral triangle.
So, the equilateral triangle with a perimeter of 200 meters will have side lengths of
meters.
Now, the area of an equilateral triangle with sides a units is given by
sq. units.
So, the area of the above equilateral triangle will be =
sq. meters. (Answer)
Answer:
c, d. see attached
e. about 2.96 miles; about $1.63 million
Step-by-step explanation:
e. The x-coordinates of points A and B are 1/3 and 2/3 of the x-coordinate of "Downtown", respectively. The y-coordinates of A and B are 2/3 and 1/3 of the y-coordinate of "Town pool", respectively. Then the distances from A and B to the Mall can be found using the Pythagorean theorem:
A to Mall = √(4² +(10/3)²) = √(244/9) ≈ 5.20683 . . . miles
B to Mall = √(8² +(5/3)²) = √(601/9) ≈ 8.17177 . . . miles
The difference in distance is ...
(BM -AM) = 8.17177 -5.20683 = 2.96493 . . . miles
The mall is about 2.96 miles farther from point B than from point A.
The additional cost is the difference in miles multiplied by the cost per mile:
(2.96 mi)($0.550 M/mi) = $1.63 M
The additional cost of the longer road is about $1.63 million.
1/10 currant
2/5 is cherry × 2 to get it out of 10
so 4/10 (cherry) + 1/10 (currant) = 5/10 so 5 raisins
Answer:
5x4x3=60
Step-by-step explanation:they are because when you simplify they are the same
keeping in mind that a line with a slope of "0" is a horizontal line, Check the picture below.