Polygon LMNP slides 5 units right and 4 units down on the coordinate plane. If the original measure of angle M was 50 degrees, w
2 answers:
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Each inch in the map is equivalent to 8 miles.
Explanation:
There is a distance of 24 miles between two parks. This 24 miles is represented by an 8-inch gap in the map.
So 8 inches on that particular map = 24 miles in real life.
To find the distance that an inch on the map represents we must divide both sides of the above equation. Since we need to calculate how much distance 1 inch represents we divide both the sides by 8 so that 8 inches on the map changes into 1 inch.
inches on the map =
miles between the two parks in real life,
1 inch on that particular map = 3 miles in real life.
So each inch on the given map is equal to 8 miles in real life.
Let the three apartments be A, B & C
The rent of A is $x
The rent of B is $y
The rent of C is $z
So x + y + z = 1600 .......(1)
Now
Maintenance of A is 20% of x = 0.20x
Maintenance of B is 20% of y = 0.20y
Maintenance of C is 25% of z = 0.25z
0.20x + 0.20y + 0.25z = 345
Multiplying by 100 we get
20x + 20y + 25 z = 34500
Dividing by 5 we get
4x + 4y + 5z = 6900 .......(2)
Monthly fee of A is 10% of x = 0.10x
Monthly fee of B is 20% of y = 0.20 y
Monthly Fee of C is 10% of z = 0.10z
Now
0.10x + 0.20y + 0.10 z= 1820 - 1600
0.10x + 0.20y + 0.10z = 220
Multiplying by 100 we get
10x + 20y + 10z = 22000
Dividing by 10
x + 2y + z = 2200 ....(3)
Making a Matrix of equation (1), (2) & (3)
is the required matrix